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Delph Seismic
  Advanced Notes
Delph Seismic – Advanced Notes




                              Copyright
© 2008, IXSEA, France. All rights reserved. No part of this manual may be
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Delph Seismic – Advanced Notes




Overview of the Delph Seismic Advanced Notes

This document is the Delph Seismic Advanced Notes. It must be read and understood
prior to using the Delph Seismic system.
The manufacturer shall in no case be held liable for any application or use that does not
comply with the stipulations in this manual.
The Delph Seismic Advanced Notes document is divided into two parts:

 •    Part 1 – Seismic Imaging Principle: This first part contains a general presentation
      of a seismic imagery system.
 •    Part 2 – Operating the Software: The second part describes the step by step
      procedure to operate the Delph Seismic software.

A Table of Contents is available in the following pages to allow quick access to dedicated
information.




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                                               Table of Contents
 I     SEISMIC IMAGING PRINCIPLE ............................................................................................................1
I.1       Seismic Imagery System Presentation..................................................................................1
I.2   Seismic Imaging Principle ......................................................................................................2
I.2.1    Wave Propagation Ray Model ..............................................................................................4
I.2.1.1       Wave Propagation                                                                                                                  4
I.2.1.2       Reflection and Refraction                                                                                                         5
I.2.1.3       Absorption                                                                                                                        6
I.2.2         Seismic Sources ...................................................................................................................6
I.2.3         Seismic Receiver ..................................................................................................................8
I.2.4         Vertical and Horizontal Resolution........................................................................................8
I.2.5         Interpreting a Seismic Profile................................................................................................9
I.2.5.1       Diffraction Point                                                                                                                   10
I.2.5.2       Reflection on a Nearly Flat Interface                                                                                               11
I.2.5.3       Sloping Interface                                                                                                                   12
I.2.5.4       Multiple Layers                                                                                                                     12
I.2.5.5       Swell Effect                                                                                                                        13
I.2.5.6       Multiple Reflection                                                                                                                 15
I.3   Seismic Processing .............................................................................................................. 17
I.3.1    Processing Flow Chart....................................................................................................... 17
I.3.2         Frequency Filtering ............................................................................................................ 18
I.3.3         Chirp Processing................................................................................................................ 19
I.3.4         Automatic Gain Control...................................................................................................... 20
I.3.4.1       Linear Time Varying Gain                                                                                               21
I.3.4.2       Decremental AGC                                                                                                        21
I.3.4.3       Linear AGC                                                                                                             22
I.3.4.4       Exponential AGC                                                                                                        22
I.3.4.5       Normalization (AGC power)                                                                                              23
I.3.5         Seabed and Reflector Tracking ......................................................................................... 23
I.3.6         Stacking ............................................................................................................................. 23
I.3.7         Bottom Correction .............................................................................................................. 23
I.3.7.1       Swell Filter                                                                                                               24
I.3.7.2       Heave Correction                                                                                                           25
I.3.7.3       Topo and Tide Correction                                                                                                   26
I.3.8         Signature Deconvolution.................................................................................................... 26
I.3.9         Multiple Removal ............................................................................................................... 27
I.3.10        Surface Horizons Generation ............................................................................................ 28

II     OPERATING THE SOFTWARE .......................................................................................................... 29
II.1      Software Architecture........................................................................................................... 29
II.2 Data Acquisition and Storage.............................................................................................. 29
II.2.1 Seismic Acquisition Parameters ........................................................................................ 31
II.2.1.1      Standard Analog Acquisition                                                                                                         31

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II.2.1.2    Chirp Acquisition                                                                                                            34
II.2.1.3    FSSB Digital Acquisition                                                                                                     37
II.2.2      Auxiliary Data Acquisition .................................................................................................. 37
II.2.3      System Geometry .............................................................................................................. 38

II.3 Data Interpretation and Processing .................................................................................... 39
II.3.1 Software General Presentation.......................................................................................... 39
II.3.2      Processing ......................................................................................................................... 41
II.3.2.1    Temporal Processing                                                                                                               42
II.3.2.2    Spatial Processing                                                                                                                45
II.3.2.3    Detection Processing                                                                                                              46
II.3.2.4    Generation of Geosections and Surface Horizons                                                                                    47




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I   SEISMIC IMAGING PRINCIPLE

I.1 Seismic Imagery System Presentation




                           Figure 1 – Seismic Imaging Flowchart

          The various steps in the operation of a seismic system are shown on Figure 1:
           •    Step 1 - An acoustic source transmits a sound wave in the water
           •    Step 2 – The sound wave propagates through the water column
           •    Step 3 – The sound wave is reflected on the seafloor and the layer interfaces below
           •    Step 4 – The reflected sound wave is captured by the receivers
           •    Step 5 – The acquired data are visualized using the acquisition software
           •    Step 6 – The data are digitized and input into the interpretation software
           •    Step 7 – The user processes the seismic data before interpretation

          The seismic imaging system produces an acoustic image of the reflector below the sea
          bottom. It collects data in parallel survey lines. These raw acoustic signals are recorded
          simultaneously with positioning data (GPS, USBL) using a dedicated acquisition software
          program. Following this, using the tools provided by the processing and interpretation
          software, it is possible to analyze the seismic profiles for classification and reporting
          purposes. The processed data (geosections, reflector, annotations, and measurement)
          can be exported to any cartographic GIS software to arrive at a full interpretation of the
          survey area. In the GIS data fusion can be achieved with other kinds of data (magnetic,
          side-scan sonar, bathymetry, etc.).




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I.2 Seismic Imaging Principle
   Principle   The basic principle in seismic imaging is to emit an acoustic wave that travels through the
               sea bottom and to record the acoustic signals reflected by the geological layer interfaces.
               The system is comprises:
                •    A seismic source that emits a series of acoustic pulses,
                •    A receiver that records the returned acoustic signal.
               The seismic source is usually separate from the receiver. The receiver is a set of
               hydrophones called a “streamer”. At the output, the system delivers one analog signal
               called a seismic trace.

 Multi-trace   If the receiver is composed of multiple separate hydrophones or streamers, for each
               emission, the system records multiple traces. This type of system is called a multi-trace
               seismic acquisition system as opposed to a single or mono-trace system.

      Chirp    Chirp systems have been developed in order to provide complete monitoring of the
   Systems     emitted pulse. The system emits a chirp-modulated acoustic pulse but other modulations
               in frequency and amplitude are also possible. In such a system, the source transducer is a
               ceramic transducer and can also be used in reception. The operator can choose the
               variations in frequencies and amplitudes of the chirp signal.

     Survey    The seismic source/receiver system is translated along a parallel path to survey a full
               area. The reflected acoustic signals are stronger at the interface between two sediment
               layers. The sediment can be modeled as a series of reflectors. Each reflector is defined by
               its time and reflection coefficient. Mathematically, the trace signal is the convolution of the
               acoustic wavelet (or acoustic signature) with the reflector series (see Figure 2). By
               translating the emitter/receiver, a 2D seismic image is formed by the adjacent traces
               arranged in columns. This image is called a seismic profile. The horizontal axis of the
               trace is the along-track distance and the vertical axis is the two-way travel time (see
               Figure 3).

     Image     The principle of imaging is to estimate from the recorded seismic traces, by inversion, the
               true geophysical profiles, converting the two-way travel time to depth and retrieving the
               main physical characteristics of each layer (density, absorption and propagation
               velocities). The subject of this document is limited to 2D imaging, which means that the
               seismic data is interpreted profile by profile. The 3D imaging process generates an image
               of the volume composed of the combination of several seismic profiles.

 Parameters    The main important parameters that characterize a seismic system are penetrating depth
               and vertical and horizontal resolution. The type of system of interest to us here is known
               as high resolution seismic (HR). The vertical resolution is defined by the pulse width (or
               bandwidth for modulated emissions). At higher frequencies, pulse width can be made
               smaller (or bandwidth greater) increasing the resolution but at the price of decreasing
               penetrating depth. Typically in the range 1 kHz to 10 kHz, the usual frequency range for


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HR seismic, sound penetration may range from hundreds of meters under the sea floor to
just a few meters with resolution ranging from 1 cm to a few meters. The horizontal
resolution is the along-track distance between two emissions. This means that it will
degrade as water depth increases, although this parameter can be improved using certain
“multiping” techniques.




                    Figure 2 – Seismic Trace Model




                    Figure 3 – 1D Seismic Imaging




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I.2.1     WAVE PROPAGATION RAY MODEL

I.2.1.1     Wave Propagation

                 Acoustic propagation in sediment is highly complex because the medium is in most cases
                 very heterogeneous. The seabed is then usually modeled as a succession of
                 homogeneous layers (the layer cake model in Figure 4). Each layer is characterized by its
                 thickness Δz and constant geophysical parameters. There are three main geophysical
                 parameters:
                  •    Sound velocity c
                  •    Density   ρ
                  •    Absorption coefficient   α




                            Figure 4 – Sea Bottom Model (Layer Cake Model)

                 There are mainly two principal types of wave propagating in sediment:
                  •    Compression waves (P wave) propagating in the direction of the pressure field
                  •    Shear waves (S wave) propagating perpendicularly to the pressure field
                 These waves propagate at velocities dependent on numerous parameters such as
                 porosity, density, pressure, and so on. As a rule of thumb, it is possible to say that the
                 sound velocity will be higher in a hard sea floor such as rock or stone than in a soft floor
                 such as sand or mud. In Table 1 below, sound velocity values are given for different types
                 of medium. In the imaging process described later in this document, the effect of the shear
                 waves is left out of account. This simplification helps in understanding the basic principle
                 of imaging without fundamentally changing the interpretation.

                                     Table 1 – Sound Velocity in Sediment

                          Medium                      Water                 Sand         Hard bottom(rock)

                   Sound velocity(m/s)                ≈ 1500                ≈ 2000             ≥ 3000

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I.2.1.2     Reflection and Refraction

                   When an acoustic wave encounters an abrupt change between two geological layers, a
                   part of the energy is reflected back in the first layer and the other part is refracted (or
                   transmitted) in the second layer. The change in direction of propagation is governed by
                   Snell’s law. The propagation model used is the “geometric optic” model in which the
                   seismic wave is assumed to propagate along a ray. This model is valid insofar as the
                   wavelengths involved are smaller than the typical size of the homogeneities in the
                                                                         sin (θ i )
                   medium. The Snell parameter p defined by p =                     is constant. θ i and ci are the
                                                                            ci
                   incident angle and velocity. See Figure 5.




                        Figure 5 – Reflection and Refraction Laws at Sediment Interface

                   The reflection coefficient R is the ratio between the reflected and incident amplitude:
                                Z 2 − Z1                                                         ρ i ci
                    •      R=            where Zi is the impedance of medium i defined by Z i =
                                Z 2 + Z1                                                        cos(θ i )
                          where    ρ i is the density, ci   the sound velocity of the medium

                    •     T the transmitted amplitude is such as 1 + R = T
                   For example, Table 2 gives the reflection coefficient at normal incidence for two interfaces:
                   a water/hard bottom interface and a sand/limestone interface.

                                         Table 2 – Reflection coefficient

              First medium              Water ( ρ = 1.0, V = 1500 )           Sandstone ( ρ = 2.4, V = 2000 )

            Second medium           Hard Bottom ( ρ = 2.5, V = 3000 )         Limestone ( ρ = 2.4, V = 3000 )

          Reflection coefficient                     0.66                                      0.2




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I.2.1.3    Absorption

                The third main geophysical parameter characterizing sediment is the absorption
                coefficient. This coefficient is highly dependent on acoustic frequency. At high frequencies
                up to 10 kHz, penetration is less than a few meters in sand while sound can penetrate
                several hundreds of meters at frequencies less than 1 kHz.


I.2.2     SEISMIC SOURCES

                The earliest source was provided by explosives (TNT). These were then replaced by non-
                explosive sources, involving the compression of gas or water:
                  •     Air/Water guns
                  •     Sparker and Boomer systems using electrical discharges (see Figure 6)
                IXSEAprocessing chain is described in Figure 8 . For a chirp-modulated emission, the
                                                                           1
                temporal resolution is the inverse of the bandwidth τ =      which can be further converted
                                                                           B
                                                  c
                as a vertical resolution   δ=       . Typically, a resolution of a few cm can be obtained with
                                                 2B
                penetrating depths up to 200m. As an example, the Echoes 1500 works at a central
                frequency of 1500Hz and its bandwidth is 300-3000Hz, providing 27cm resolution.

                                         Table 3 – Seismic Sources

                                 Seismic Sources              Bandwidth

                                    Water Gun                  20-1500Hz

                                      Air Gun                 100-1500Hz

                                      Sparker                  50-4000Hz

                                      Boomer                   300-3Khz

                                         Chirp               500Hz-200Khz




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  Figure 6 Boomer (left) and Sparker (right) Sources




Figure 7 Chirp Sub-Bottom Profiler (IXSEA Echoes 1500)




Figure 8 Chirp Sub-Bottom Profiler Processing Flowchart




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I.2.3   SEISMIC RECEIVER

    Streamer    A streamer comprises a set of transducers electrically wired to act as a single receiving
                system. The individual hydrophones are placed in a flexible tube filled with oil to ensure
                acoustic coupling between the component elements and then sealed (see Figure 9). The
                streamer is usually towed behind the source below the sea surface.




                   Figure 9 – Hydrophone streamer (from WHOI report 67-64, 1967)

Chirp System    In a chirp sub-bottom profiler, the signal can be recorded on streamer but the emitting
                transducer can also be used for reception. In this case, the beginning of reception of the
                seismic signal occurs after the pulse-modulated signal has been emitted. This means that,
                in shallow water, the selected pulse length needs to be sufficiently short.


I.2.4    VERTICAL AND HORIZONTAL RESOLUTION

                For a chirp sub-bottom profiler the vertical resolution is given by the inverse of the
                bandwidth. For an air/water gun or a sparker/boomer the vertical resolution is
                approximately determined by the wavelet length and can be slightly improved by applying
                signal processing techniques such as signature deconvolution. Figure 10 illustrates the
                vertical resolution in each case: wavelet and chirp-modulated signal.




               Figure 10 – Vertical Resolution for Chirp-Modulated and Wavelet Sources


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                  The horizontal resolution is achieved after processing the data, after applying a migration
                  process either in 2D or 3D for instance. The resolution obtained is given by the along-
                  track distance between two successive emissions. This distance will depend on vessel’s
                  speed and the time interval between two emissions. The rate of repetition (also called the
                  shooting rate) is usually chosen for a desired penetrating depth. For deep water operation,
                  this could severely limit the horizontal resolution of the system.

        Example   In 6000 m of water depth, the two-way travel time of the acoustic pulse is 8 s. With a boat
                  speed of 4 knots (2 m/s), this gives a horizontal distance of 16m between individual shots.

    Multiple      One way to overcome this limitation is the “multiping” operating mode, which involves
   Emissions      sending multiple emissions into the water column at the same time. Theoretically, the
                  spatial sampling along the along-track should follow the Nyquist rule:
                       λ                c
                  Δ<       where   λ=     is the wavelength.
                       2                f
                  For a frequency of 1.5 kHz, the theoretical spatial resolution is then 0.75 m for a velocity of
                  1500 m/s. This acquisition mode is further detailed in section II.2.1.2.


I.2.5     INTERPRETING A SEISMIC PROFILE

                  The seismic profile is represented in 2D coordinates as the two-way acoustic travel time
                  versus along-track distance. See Figure 11.




                                   Figure 11 – Example of a Sparker Profile

                  The principle of imaging is to make the link between this seismic profile and the
                  geophysics section represented as depth versus along-track distance. This relationship is
                  illustrated for the following basic cases:


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                  •    A diffraction point (see section I.2.5.1)
                  •    A nearly flat seabed (see section I.2.5.2)
                  •    A sloping seabed (see section I.2.5.3)
                 The following main effects are also illustrated:
                  •    The multiple layer model (see section I.2.5.4)
                  •    A swell distortion (see section I.2.5.5)
                  •    A multiple reflection (see section I.2.5.6)
                 The system is assumed to be mono-trace with emission and reception collocated (zero-
                 offset imaging). The sea bottom is modeled as a homogeneous layer.


I.2.5.1    Diffraction Point

                 Where diffraction occurs (see Figure 12), the image in the seismic profile is a hyperbola
                 with its apex vertically above the diffraction point. The shape of the hyperbola is
                 dependent on the diffraction point depth d and the velocity c:

                                                          4( x − x0 )
                                                                     2       2
                                                                       4d
                                                 t ( x) −
                                                  2
                                                                 2
                                                                      = 20
                                                               c        c




                                          Figure 12 - Diffraction

      Imaging    The imaging process involves converting the seismic profile (time versus distance) into a
      Process    geophysical section (depth versus distance). This is accomplished by means of a process
                 called migration. A basic interpretation of this process is given here. As already indicated,
                 a single point generates a hyperbola. More generally, a seismic profile can be interpreted
                 as the sum of all hyperbolas generated by all the scatters in a profile. The reflection at an
                 interface can for example be modeled as the sum of all the hyperbolas generated by each
                 scatter along the interface. The principle of imaging is to reverse the propagation, with the
                 result that each hyperbola is collapsed into a point.
                 The principle is represented schematically in Figure 13. On trace xi, the reflection
                 occurring at time tj could have been generated by any scatter lying on the circle Cij. By
                 superimposing each circle for each trace xi and each reflection tj signal the hyperbola
                 collapses on the apex point and therefore images the source point. From another point of

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                view, the inversion process can be viewed as repropagating the wave backward in time.
                For instance, at trace i, the event j is repropagated backward to time tj hence producing a
                wave front similar to the circle Cij.




                                        Figure 13 – Repropagation


I.2.5.2   Reflection on a Nearly Flat Interface

                If we suppose a nearly flat seabed, as illustrated in Figure 14, and given a constant sound
                velocity c through the water column, the imaging process converts the depth d 0 to a two-

                                                                     2d 0
                way travel time t 0 using the simple formula t 0 =        . Thus the seismic profile simply
                                                                      c
                shows a near flat reflector.




                                    Figure 14 – Imaging a Flat Surface




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I.2.5.3   Sloping Interface

               In the case of a sloping seabed or reflector (see Figure 15) the seismic image also shows
               a sloping interface but the angle of the interface on the seismic profile differs from the true
               one. Using a simple geometrical manipulation, the two angles are related by the formula:
                                                  tan (φ ) = tan (θ )cos(θ )




                               Figure 15 – Imaging a Sloping Interface

I.2.5.4   Multiple Layers

               In practice the sea bottom is modeled as a series of homogeneous layers in which the
               sound propagates at a constant velocity (“layer-cake” model). The interface between the
               layers is not necessarily horizontal but it is usually assumed to be so. The model with
               horizontal layers is valid for a small section (see Figure 16). The earth could also be
               modeled as a constant velocity model by assuming a constant velocity V(z) up to depth z.
               This value is chosen so that the difference between hyperbolas given by the layer cake
               model and the constant velocity model is minimal. It can be shown that this velocity is the

               RMS (Root Mean Square) velocity defined as Vrms ( z k ) =
                                                                               1
                                                                               tk
                                                                                    ∑V   k
                                                                                          2
                                                                                              Δt k .




                        Figure 16 – RMS Velocity and Constant Velocity Model

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                If a diffraction point at depth z is strong enough, the RMS velocity at that depth can be
                estimated. If the RMS velocity can be obtained at two different depths, using from the
                previous formula the internal velocity can then be obtained as
                                                     Vrms ( z k )t k − Vrms ( z k −1 )t k −1
                                             Vk2 =
                                                                  t k − t k −1

I.2.5.5   Swell Effect

                If the sensor is moving up/down following the movement of the sea, the reflector will shift.
                                                                                                2d
                In the absence of swell, an echo at a depth d appears at time t 0 =                .
                                                                                                 c
                Where swell is present with an amplitude h (counted positive when the sensor is moving

                                                   2(d + h)
                up) the echo appears at time t =            (see Figure 17). This is illustrated on real data
                                                      c
                in Figure 18.
                                                                   2h
                The corrected time t0 is obtained by t 0 = t −        .
                                                                    c
                Swell amplitude can be determined in two ways:
                 •    Swell amplitude is measured by a heave sensor rigidly fastened to the receiver and
                      the source. More precisely, the swell correction is in fact the sum of the measured
                      heave at the time of emission and the heave measured at the time of reception
                 •    Swell amplitude is estimated on the data

                The algorithm principle is as follows:
                 •    The depth value is obtained by a bottom detection and tracking algorithm.
                 •    The swell amplitude is then obtained by subtracting a low-pass filtered depth value.
                      The cutoff wavelength should be chosen according to the swell period observed.




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     Figure 17 – Swell Effect




Figure 18 - Swell on a Chirp Profile




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I.2.5.6   Multiple Reflection

                After a first reflection on the sea bottom, the acoustic wave may be reflected back by the
                sea surface and the bottom again before being heard by the receiver. A second arrival
                called a multiple is then superimposed on the seismic profile. Filtering techniques such as
                predictive deconvolution have been developed to suppress or at least attenuate this
                multiple reflection effect. On Figure 19, the multiple reflection effect is shown on a
                synthetic slope seabed with angle          θ . Two multiples are displayed: the sea surface
                multiple and the bottom multiple. The emitter/receiver is at depth h. The sea surface

                multiple is the primary reflector translated by 2h / c , the bottom reflector has a slope     θ'
                so that   θ ' = 2 *θ   (for small   θ ).




                                        Figure 19 – Multiple Reflection
                When correcting the seismic profile for swell variation, the multiple is not fully corrected.
                This is a way of identifying a multiple from the primary reflector (see Figure 20 and Figure
                21).




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   Figure 20 – Swell Correction on Multiple




Figure 21 – Example of Swell Effect on Multiple




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I.3 Seismic Processing
                Before applying any interpretation or high-level imaging process for which multiple traces
                or profiles must be combined, each raw trace signal should be previously filtered and
                corrected for basic distortion such as electrical noise, signal attenuation and
                source/receiver movement.


I.3.1   PROCESSING FLOW CHART

   Low Level    In the Delph Seismic Interpretation software, a full chain of low-level processing functions
                is available either in real-time or in post-processing. The processing flow chart is shown
                on Figure 22. This first processing segment (frequency filtering and automatic gain
                control) is dedicated to improving signal-to-noise ratio and signal contrast.
                The bottom detection and tracking functions are an essential part of the processing. It
                outputs the time of the first return (the bottom echo) for each trace. This value is needed
                for further processing such as swell filter multiple removal and signature deconvolution.

   High Level   Higher level processing functions such as multiple removal, signature deconvolution, are
                available in post-processing.
                When all the reflectors have been digitized on multiple profiles, surface horizons can then
                be created.

    Reflector   Reflector digitization is one of the most important tasks in seismic interpretation and could
        Digit   be extremely tiresome with kilometers of survey line to process. An automatic tracking
                algorithm is a key feature in this context. Error-free, fully automatic reflector tracking (and
                sea bottom tracking) does not exist. For this reason, semi-automatic tracking is used in
                practice.




                                    Figure 22 – Processing Flowchart




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I.3.2    FREQUENCY FILTERING

                   The acoustic pressure received on the hydrophones is converted to an analog electrical
                   signal voltage.

        Process    A high-pass filter is applied initially to cut the low frequency electrical signal often
                   generated by ground mass problem. The analog signal is then pre-amplified and digitized
                   using an analog/digital converter. The sampling frequency f s is adjusted according to the

                   Nyquist criteria: f s ≥ 2 f max where f max is the maximum frequency in the returned signal.

                   The f max is of the order of the maximum frequency in the source wavelet but the signal

                   spectrum is also dependent on sediment type. It is often desirable to be able to select the
                   high- or low-pass cut-off frequency. Signal frequency content and noise also change with
                   depth (time) and there are also advantages in varying the band-pass filter from the
                   beginning to the end of the trace. This filter is known as a Time Varying Filter (TVF).
                   Frequency filters are commonly and efficiently implemented as FIR (Finite Impulse
                   Response) or IIR (Infinite Impulse Response) filters. Of all the possible filters, the linear
                   phase filters, or better still a zero phase filter, are required in order not to avoid distortion
                   of the phase signal information (and time delay). Zero-phase filters are obtained by
                   applying the same linear filter in the forward and backward direction. An example of band-
                   pass filtering is shown in Figure 23.




           Figure 23 – An Example of Band-Pass Filtering [100-3000Hz] (raw Up - processed Down)

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I.3.3   CHIRP PROCESSING

               Traditional seismic systems using explosive/implosive sources (boomers, sparker air
               guns, etc.) are limited in resolution and frequency bandwidth. The resolution is given by
               the wavelet length, which cannot be made arbitrarily short. One way to improve resolution
               is to increase the bandwidth of the seismic source. A modern chirp seismic source emits a
               FM linear pulse (chirp pulse) which can be given a large bandwidth (B > 10-20 kHz),
               therefore providing high resolution. Increasing the pulse length T increases the signal-to-
               noise ratio by a factor B x T with no degradation of resolution.
               Upon reception, the signal is deconvolved by using the replica of the chirp source. Using
               the phase and the quadrature signals, the instantaneous amplitude and phase are
               computed. Usually, the envelope of the match-filtered signal is displayed (see Figure 24).




                   Figure 24 – Real part (in Phase) and Envelope of a Chirp Signal




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I.3.4   AUTOMATIC GAIN CONTROL

                   The seismic signal is attenuated by the spreading of the acoustic wave and absorption in
                   the water while propagating to the seabed. It is therefore necessary to compensate for
                   these effects to recover a satisfactorily contrasted signal at greater depths. This is usually
                   done by multiplying the raw signal with a time varying gain curve. There are two
                   approaches to the computation of the gain curve:
                    •    Adaptive: with the adaptive method, or Automatic Gain Control (AGC), the time
                         varying gain curve is computed from the signal itself and therefore changes from
                         one trace to another.
                    •    Non-adaptive: with the non-adaptive method, each trace is multiplied by a fixed gain
                         curve.
                   In a traditional seismic system, the emitted wavelet amplitude/phase and shape may vary
                   from one ping to another, making automatic gain control preferable in such cases. A fixed
                   gain curve can be used for a chirp system, in which the emitted pulse is more stable.
                   Automatic gain control functions are also designed to avoid saturation (or clipping) of the
                   signal after amplification. The following sections contain a description of the most
                   commonly used time varying gain functions: linear varying gain, linear AGC, decremental
                   AGC, exponential AGC and first order normalization (called also AGC power). A typical
                   example of AGC correction is shown in Figure 25.




        Figure 25 – Raw (top) and corrected profile (bottom) using an Automatic Gain Control function


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I.3.4.1   Linear Time Varying Gain

               In this case, the gain curve G(t) is a linear function of time with an initial and a final gain
               (see Figure 26).




                                  Figure 26 – Linear Time Varying Gain


I.3.4.2   Decremental AGC

               For each trace, a decreasing envelope is obtained and the gain curve is computed as the
               inverse (see Figure 27). Decremental AGC is very sensitive to noise: any spike in the
               signal completely cause major distortion in the decrementing envelope.




                                     Figure 27 –Decremental AGC




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I.3.4.3   Linear AGC

               In a first step, the signal is divided into intervals. For each interval i, the maximum of the
               signal Mi is detected. A first gain value Gi is computed for each interval as the inverse of
               the maximum (see Figure 28). These gain values are then filtered by limiting the gain
               variation between successive intervals to a maximum variation Δg:
                                                  − Δg < G 'i +1 −G 'i < Δg
               The corrected signal is never saturated and spikes in the signal are filtered. Selecting a
               small window enables greater reinforcement of the finest signal details.




                                         Figure 28 –Linear AGC
I.3.4.4   Exponential AGC

               In a first step, the signal is divided into intervals. For each interval i, the maximum of the
               signal Mi is detected. A first gain value Gi is computed for each interval as the inverse of
               the maximum (see Figure 29). These gain values are then filtered by limiting the gain ratio
               between successive intervals to a maximum variation Δg:
                                                              G 'i +1
                                                     − Δg <           < Δg
                                                              G 'i
               When using exponential rather than a linear AGC, greater variation between two
               successive intervals is allowed, which reinforces the finer detail.




                                      Figure 29 –Exponential AGC


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I.3.4.5     Normalization (AGC power)

                 Normalization forces the signal to remain at an almost constant average value from
                 beginning to end of the trace. To do so, the trace is first filtered by a moving average
                 window to obtain the mean amplitude curve. The Gain curve is simply the inverse of the
                 filtered signal multiplied by a constant. This is illustrated in Figure 30. For a bipolar signal,
                 the function takes the absolute value of the signal.




                                  Figure 30 – Normalization (AGC power)
I.3.5     SEABED AND REFLECTOR TRACKING

                 The basic principle of the seabed and reflector tracking function is to follow the strong
                 echo reflected by a sediment interface (or horizon) from trace to trace. Seabed detection
                 and reflector tracking are needed for additional interpretation and processing tasks. The
                 bottom reflector is assumed to be the strongest echo at the beginning of the signal. The
                 seabed tracking result can be replaced by any altimeter value that gives the water depth
                 but the conversion to two-way travel time needs a correct value for sound velocity. This
                 means that in practice detection of the first echo in the actual data is the best method.
                 Reflector tracking is usually very difficult: the reflector is not continuous and the signal-to-
                 noise ratio is low. For this reason, the automatic tracking functions are usually used
                 together with manual editing in order to arrive ultimately at a satisfactory result.

I.3.6     STACKING
                 Stacking is an operation used to improve the signal-to-noise ratio by simply adding
                 adjacent traces. Stacking is more effective if the trace has been corrected for vertical shift.
                 These corrections are explained in the next section. This operation is used where signal-
                 to-noise ratio is very poor because it also degrades horizontal resolution.


I.3.7      BOTTOM CORRECTION

                 The vertical time of the bottom reflector is shifted from its true position by vertical
                 movement of the sensor. The bottom correction function is used to estimate and correct
                 the signal for all such variations. The heave and swell filter functions are used to correct
                 the seismic profile for short-term variation. Longer-term effects may still be observed, for

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                  example when multiple profiles cross the same geographical area. These longer-term
                  variations can be due to
                    •    Depth Sensor Variations: since source and receiver are towed behind the vessel,
                         the depth sensor is moving up and down,
                    •    Tide variations.
                  Depth sensor corrections are called topo(graphical) corrections.


I.3.7.1   Swell Filter

                  As explained in a previous section, the swell filter shifts the trace to correct from the swell
                  variation. Only the primary reflector is compensated (see Figure 31), multiple are not
                  compensated (see Figure 32).
                                                  2h
                  The correction is t
                                        '
                                            =t−      where h is the swell amplitude counted positive upward.
                                                   c




                                Figure 31 – An Example of Swell Correction




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                                 Figure 32 – Swell Correction of Multiples
I.3.7.2   Heave Correction

                 The heave correction function uses the vertical motion measured by the heave sensor to
                 align the trace with the same reference altitude value. The reference altitude value for a
                 heave sensor is a local average of the altitudes detected by the heave filter. The
                 correction is effective if both source and receiver are rigidly mounted on the same body as
                 the heave sensor and if the mounting offset is known. The heave applied to the signal is
                 the average value for heave at emission and heave at reception. The correction is
                            hr + he
                 t' = t −           where he, hr are the heave values at emission and reception.
                               c
                 Heave correction and swell filtering can be used together but as shown on the flow chart
                 in Figure 22 heave correction should be applied before tracking the seabed. The swell
                 filter can then correct for the residual vertical movement h.
                                                                                           hr + he 2h
                 The overall correction, heave and swell, is then given by t
                                                                                 '
                                                                                     =t−          −
                                                                                              c     c
                 This is illustrated in the sequence of figures (Figure 33, Figure 34, Figure 35 and Figure
                 36) based on IXSEA Echoes 3.5kHz data. Figure 33 is the raw seismic profile with no
                 vertical correction. The heave correction is applied first and the effect is clearly visible in
                 Figure 34, where most of the oscillations have disappeared, although some residual
                 artifacts are still visible. The swell filter is then applied using the bottom track value shown
                 in Figure 35 and final result is shown in Figure 36.

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            Figure 33 – Raw Seismic Profile                    Figure 34 – Heave-Corrected Seismic Profile




   Figure 35 – Swell Detection on Corrected Profile           Figure 36 - Filtering on Heave-Corrected Profile

I.3.7.3    Topo and Tide Correction
                   Following topo correction, seismic profiles are aligned on the actual sea depth. To be
                   more precise, the effective depth is usually assumed to be the average between the depth
                   at time of emission and the depth at time of reception.
                   The tide correction is then also applied and aligned to an absolute vertical reference value
                   such as the Mean Sea Level. The overall correction, topo plus tide, is then given by
                              Dr + De 2T
                   t' = t +          −   where Dr and De are respectively the depth measured at time of
                                 c     c
                   emission and reception and T is tide value.

I.3.8     SIGNATURE DECONVOLUTION
                   The seismic trace is usually modeled as a convolution between the source signatures
                   and the reflector model (see Figure 2). This model is valid insofar as the reflectors are well
                   defined and if it is possible to leave internal reflection and wavelet distortion out of
                   account. In that case, the application of a deconvolution process should enable
                   improvement of resolution and the signal-to-noise ratio on the reflector. The signature
                   shape needs to be known in order to perform deconvolution. If the signature is known,
                   such as a linear FM signal in chirp system, the theoretical signature wavelet can be used
                   to deconvolve the signal. Otherwise, the signature should be estimated from the signal
                   itself. If the seabed echo is a strong and isolated reflector, the signal around the seabed
                   echo will be a good replica of the emitted wavelet. When the signature has been obtained
                   (either theoretically or from the signal) the seismic trace can be deconvolved using familiar
                   techniques such as Wiener deconvolution.



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I.3.9   MULTIPLE REMOVAL

               As has already been seen in the case of a shallow-water survey, a replica of the sea
               bottom reflector can be superimposed on the true signal and mask real features. Many
               “multiple removal” techniques have been developed in order to mitigate the effect of
               multiples in the signal. This is a difficult task and correction is never perfect. One of the
               techniques is based on predictive deconvolution: the “multiple” signal is estimated as a
               shifted and attenuated replica of the primary reflection. The shift is known to be
               approximately twice the bottom time. For each trace a FIR filter is computed by cross-
               correlation between the estimated replica and the signal. The estimated multiple is then
               subtracted from the raw signal. This operation is applied to all the multiples in succession.
               See Figure 37.




                             Figure 37 – An Example of Multiple Removal




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I.3.10 SURFACE HORIZONS GENERATION

              When a reflector interface has been digitized across multiple profiles, a 3D surface of the
              reflector can be computed by interpolating between digitized points (see Figure 38 and
              Figure 39). There are a number of approaches to interpolation, but a very efficient
              technique known as Delaunay triangulation is often used: the surface is first constructed
              as a mesh of facets, each facet being a triangle and being part of a triangular irregular
              network (TIN) model. The TIN model is converted to a regular grid by 2D interpolation.




                                   Figure 38 – Reflector Mapping




                         Figure 39 – Reflector Triangulation and Mapping




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II   OPERATING THE SOFTWARE

II.1 Software Architecture




                             Figure 40 – Delph Seismic Software

           The Delph Seismic software (see Figure 40 and Figure 41) comprises two parts:
            •    Delph Seismic Acquisition software dedicated to the storage of seismic and
                 positioning data in XTF (eXtended Triton format file) or SEGY.
            •    Delph Seismic Interpretation software dedicated to real-time processing or post-
                 processing of the seismic profile.
           The software runs on a standard PC platform using windows XP. Hardware and software
           installation procedures are described in detail in the Delph Seismic User’s Manual.
           One interesting feature is that acquisition and interpretation can run on two separate
           workstations, with one PC dedicated to acquisition and interpretation running
           simultaneously in real time on a remote platform.


II.2 Data Acquisition and Storage
           The acquisition setup is clearly described in the Delph Seismic Acquisition User’s Manual,
           allowing us to focus here solely on key features for acquisition.
           The Delph Seismic Software interface is illustrated in Figure 42. The connection between
           Delph and the hardware devices (seismic device, GPS, MRU, etc.) is realized through
           dedicated independent servers:
            •    Serial Port and Ethernet Server dedicated to acquiring auxiliary data.
            •    Seismic Server for acquiring and controlling the seismic device (analog or digital)
           Before starting any acquisition, the following three main sets of acquisition parameters
           need to be configured with care:
            •    Seismic acquisition parameters
            •    Serial /Ethernet port configuration
            •    System Geometry


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 Figure 41 – Software Architecture




Figure 42 – Delph Seismic Acquisition



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II.2.1 SEISMIC ACQUISITION PARAMETERS

                 There are three different acquisition systems, each configured using its own server:
                  •    Standard Analog Acquisition
                  •    Chirp Acquisition
                  •    FSSB Acquisition


II.2.1.1    Standard Analog Acquisition

 Synchronous     In this configuration, the seismic analog data are digitized using an analog-to-digital board
   Acquisition   plugged into the PC. See the acquisition parameters in Figure 43. The signal is digitized to
                 24 bits with an input dynamic of +/- 10Volts. Acquisition synchronization can be either
                 master or slave. In master mode, a TTL board is also plugged into the PC to generate the
                 synchronization pulse. This TTL pulse is sent simultaneously to the seismic device and
                 the acquisition board. In this case, the trigger detection parameters (level and detection
                 edge) should be selected as 1.0V and “Rising Edge”. In slave mode, the trigger detection
                 parameters should be selected according to pulse level and shape.
                 Up to six channels can be recorded simultaneously.




                                   Figure 43– Acquisition Parameters

                 Definition of acquisition parameters:
                 Shooting Rate (or Shooting Interval): This is the time interval between two successive
                 emissions. A better term for this would be “shooting interval” since it is expressed as a
                 time duration. This parameter can be adjusted in master mode to trigger the source. It
                 determines the along-track resolution as explained in section I.2.4
                 Sampling Frequency: This is the sampling frequency used by the A/D board to digitize
                 the analog signal. The value for this frequency is chosen to ensure that it is more than
                 twice the maximum frequency expected in the signal.



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  Recording Delay: This is the time interval between time of the emission and the
  beginning of the acquisition. This parameter can be changed in real time and should be
  smaller than the water depth. It is best set to 0 for shallow water survey and adjust it only
  for deep water to save disk space.
  Recording Length: This is the time duration of the acquisition. The number of acquired
  samples is obtained by dividing the time duration with the sampling frequency. This
  parameter should be adjusted according to the expected penetrating depth of the source.
  Coupling Mode: The coupling mode can be set to AC or DC. When using AC, the signal
  is high-pass filtered before digitization. This is required in seismic acquisition where the
  signal should have a zero average value.
  A review of all the definitions is given in Figure 44 below




Figure 44 Definitions of and relationships between the main acquisition parameters

  As discussed above, the recording parameters follow the set of inequations defined
  below:
    •   Recording Delay < 2 x WaterDepth / SoundSpeed
    •   Recording Length + Recording Delay < Shooting Interval
    •   Recording Length + Recording delay > 2 x (PenetratingDepth + WaterDepth) /
        SoundSpeed
  These relations define a validity domain illustrated in Figure 45.




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                         Figure 45 - Validity Domain for Acquisition Parameters

Asynchronous     In the asynchronous mode, two channels are recorded independently with two different
   Acquisition   sets of acquisition parameters, see Figure 46. One channel is usually called the “fast
                 channel”. This channel pings at a higher shooting rate than the other channel, the “slow
                 channel”. The fast channel is a high frequency source providing better resolution near the
                 bottom and the second is a low frequency channel offering greater penetrating depth. The
                 two sets of data are recorded in two different files.




                                  Figure 46 – Asynchronous Acquisition




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II.2.1.2   Chirp Acquisition

       Design   In chirp mode, the system emits a chirp pulse using a D/A board plugged inside the PC.
                On its return, the signal is digitized using the same analog/digital board as in the standard
                case (24 bits, +/-10 Volts dynamic). The chirp signal can be defined using the chirp editor
                software (see Figure 47) . The following parameters can be adjusted:
                  •       Minimum and Maximum Frequency: These frequencies need to be adjusted
                          according to the bandwidth specifications of the transducer.
                  •       Chirp Length: The processing gain, which is the increase in the signal-to-noise
                          ratio after match filtering is BT where B is the bandwidth and T the chirp length.
                          A longer chirp increases the signal-to-noise ratio. But in practice, there are practical
                          limitations to this. The D/A card uses an internal buffer of limited size
                          ( N max = 4096 samples) which also limits the chirp length. If f max is the maximum

                          frequency of the chirp, the sampling frequency Fe of the D/A board should
                          be f e ≥ 2 f max in order to meet the Nyquist criteria. This means that the minimum

                          number of samples for a chirp of length T and of maximum frequency f max is

                          N = 2Tf max and we should have N ≤ N max . The chirp length is also limited by the
                          water depth: during pulse emission, reception is saturated when using a streamer
                          or is stopped one if the same transducer is used for emission and reception. In
                          order to avoid disturbance to the signal, the pulse length T should be chosen
                                               2d
                          according to T ≤        where d is the water depth and c the estimated sound
                                                c
                          velocity.
                  •       Frequency Modulation: One of four types of modulation can be selected:
                               Linear: the frequency increases (or decreases) linearly from beginning to end
                               of the pulse.
                               Triangle: two variation slopes can be selected: one at the beginning of the
                               pulse and the other at the end.
                               Logarithmic: an increasing or decreasing frequency variation can be selected
                               Power: the frequency variation is a polynomial variation (either increasing or
                               decreasing). The degree of the polynomial can be selected.
                          The frequency bandwidth should match the transducer bandwidth. For instance,
                          the bandwidth of the system Echoes1500 is 650 Hz - 2.5 kHz so the low frequency
                          should be greater than 650 Hz and the high frequency less than 2.5 kHz.
                      •    Amplitude Modulation: The amplitude modulation function determines the
                           envelope of the chirp signal. There are four types of amplitude modulation
                           available:
                             No modulation
                             Gauss: The envelope is a Gaussian. The width and position of the maximum of
                               the Gaussian can be selected.

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                        Cosbell: In the Cosbell modulation function, the gain increases as a cosine
                         variation from 0 to 1 during a time interval, then decreases from 1 to 0 at the
                         end of the signal. The time interval value is user-selectable.
                        Hamming: The modulation is a cosine function. There is no parameter.
              Using an amplitude modulation function decreases the side lobe amplitude in the match-
              filtered signal at the expense of degrading the resolution.




              Figure 47 – Chirp Acquisition Interface (left) and Design tool box (right)

 Multiping    In the case of the standard system, two acquisition modes are available: master or slave.
Acquisition   In master mode, the operator can also activate the multiping acquisition mode.
     Mode
              As explained in section I.2.4 , this pinging mode is used to improve the along-track
              resolution where the water is very deep (typically hundreds of meters). The basic principle
              involves sending multiple pings into the water column. A nominal shooting interval is
              selected to provide the desired along-track resolution. This nominal shooting interval value
              should be set at a higher level than the minimum shooting interval supported by the
              seismic source. If the water depth is known, the system can then compute a shooting
              interval as close as possible to the nominal value. If the water depth is measured using an
              altimeter, you can select this entry to ensure that the system automatically computes the
              shooting rate. Otherwise, it is possible to set the recording delay manually, which is taken
              as the water depth value. In automatic mode, the water depth is converted to a two-way
              travel time using the sound velocity value. The software does not continuously change the
              shooting rate at every variation in water depth. The software requires recording delay to
              be varied in steps. The “Recording Delay Step” parameter is the window size in which the
              recording delay (like water depth) can vary. At each excursion of water depth outside this
              window, the window is shifted to center on the new depth value and a new shooting rate
              and recording delay is computed for the following traces. This is illustrated in Figure 48.


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                             Figure 48 - Multiping Algorithm Principle

Parameters    Where the standard acquisition mode is concerned, the operator selects a recording
  Selection   length which corresponds to the expected penetrating depth. However, in Chirp mode, in
              order to get a correct match-filtered signal at the end of the trace, this value should be
              increased with the chirp length.




                    Figure 49 - Relation between Acquisition Parameter in Chirp Mode

              In multiping mode, the recording length should be increased along with the “recording
              delay step” parameter. As is also explained in the Design section, during the time of the
              chirp emission, the received signal cannot be exploited. This entails a need to increase
              the nominal shooting rate set in multiping mode by the chirp length.




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                In Chirp mode, the recording parameters should therefore follow the set of inequations
                defined below (see also in Figure 49):
                  •   ChirpLength < 2 x WaterDepth / SoundSpeed
                  •   RecordingDelay < 2 x WaterDepth / SoundSpeed
                  •   RecordingLength + RecordingDelay < ShootingRate
                  •   RecordingLength + RecordingDelay > 2 x (PenetratingDepth + WaterDepth) /
                      SoundSpeed + ChirpLength
                In Multiping Mode we also have:
                NominalShootingInterval> 2 x (PenetratingDepth + WaterDepth) / SoundSpeed + 2 x
                ChirpLength


II.2.1.3   FSSB Digital Acquisition

                The FSSB server is dedicated to the acquisition of all the Edgetech sub-bottom profiler
                The FSSB device can be fully configured using the Ethernet interface. See Figure 50.




                                        Figure 50 – FSSB Server


II.2.2 AUXILIARY DATA ACQUISITION

                Auxiliary data are recorded through a serial or Ethernet interface using the dedicated
                Serial server. The server is also responsible for the synchronization of the PC clock with
                the GPS time: as soon as a GPS time is acquired, the server computes the time
                difference between the PC clock and the GPS time. If the time difference is more than half
                a second the PC clock is resynchronized. Serial data are then time-stamped inside the
                server using the PC clock.
                The main important sensors that can be acquired are:
                  •   Any standard positioning system which sends NMEA strings,
                  •   Heave sensors such as the IXSEA Octans,
                  •   TSS motion sensors,
                  •   Depth sensors providing a depth output in the form of a standard NMEA string.
                  The software interface of the Serial server is shown in Figure 51.




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                                Figure 51 – Serial/Ethernet Server


II.2.3 SYSTEM GEOMETRY




                                   Figure 52 – Set-UpGeometry

             Before starting any acquisition, the system geometry needs to be correctly defined. This is
             accomplished through the system geometry graphics tool show in Figure 52 above. Care
             must be taken to enter the correct offset or some of the processing functions may not work
             correctly (heave correction, mapping, etc.). All offsets are measured with respect to an
             arbitrary point in a three-axis reference frame.




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II.3 Data Interpretation and Processing

II.3.1 SOFTWARE GENERAL PRESENTATION




                  Figure 53 – Interpretation Software Architecture in Real Time

             The Delph Seismic Interpretation software is a standalone software program for
             processing individual seismic profiles either in real-time or in post-processing. In real time,
             the Delph real-time monitor makes the connection between the acquisition and
             interpretation software. The monitor looks for a newly acquired seismic file (XTF or SEGY)
             and when a new file is created, it automatically runs the interpretation software. In post-
             processing, the interpretation can also be executed from the Delph RoadMap software
             (see Figure 53, Figure 54, Figure 55).




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                         Figure 54 – How to Start




   Figure 55 – Interpretation Software Architecture Post-processing

In the interpretation software, the seismic profile is displayed horizontally. The vertical axis
is the two-way travel time. The horizontal axis is the along-track distance in meters
computed from the beginning of the file as shown in Figure 56. All the processing
functions are gathered in the processing panel. The interpretation tools such as
digitization are located in the interpretation panel.

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                             Figure 56 – Interpretation Software Interface


II.3.2   PROCESSING

               The general processing flowchart shown in Figure 22 summarizes the processing
               functions briefly described in I.3.
               This section is intended to provide more insight into how this processing is implemented in
               Delph Seismic Interpretation and also to explain the meaning of all the parameters. This
               ensures better understanding of how and why to adjust them.
               In Delph Seismic Interpretation, the processing functions are divided into three groups as
               shown in Figure 57.




                   Figure 57 - Delph Seismic Interpretation Processing Functions

               The surface horizon and geosection generation functions, which are described later, are
               not included in this panel but are accessible in post-processing through the replay loader
               tools or directly in Delph RoadMap.




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II.3.2.1 Temporal Processing

                •    Filter
               Available filters are Low-Pass, High-Pass and Time Varying Filter, see Figure 58.
               High-pass and low-pass filters are zero-phase IIR filters. Low-cut frequency can be
               selected in the range 1% to 30% of the sampling frequency, and the high-cut frequency in
               the range 15% to 40% of the sampling frequency. As shown in the processing flow chart,
               the high-pass filtering is applied first and the low-pass filtering is applied after the AGC
               function. Low-pass filtering is useful to attenuate high-frequency noise levels appearing in
               the signal after applying AGC functions.
               For the Time Varying Filter (TVF), two bandwidths must be selected:
                         one for the beginning of the trace,
                         and the other for application at a user-defined time (end of variation parameter).
               When using the Time Varying Filter, the trace signal is filtered twice using each band-pass
               filter and the final trace output is simply a linear combination of the two band-pass filtered
               signals. The band-pass filter is obtained by successively applying a high-pass and a low-
               pass filter. The TVF function is applied before any AGC functions.




                              Figure 58 – Frequency Filtering Parameters




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             •    Gain Control
            In Delph Seismic Interpretation, five different gain controls are available (see Figure 59).

     TVG    The first, TVG, applies a fixed gain to the signal. All that is needed is to select the gain for
            the beginning (start gain) and the end of the trace (end gain). The gain values are in the
            range [0-100]. If for example a “Start Gain” of 2 is selected, and an “End Gain” of 10 this
            will mean that mean that the value of the first sample is multiplied by 2 and the value of
            the last sample by 10. In between, the gain value will be varied linearly.

            The other four gain functions described below are all adaptive gain methods. These
            principles have been explained in section I. The strength parameters for linear and
            exponential AGC correspond respectively to the maximum increment or ratio ( Δ g ). The

            AGC power is the normalization gain.

     AGC    In the case of AGC (decremental, linear and exponential), decreasing the window size
            increases the resolution, enhancing the finer details. Gain increases with increasing
            strength.

AGC Power   Where AGC power is concerned, the window size is the size of the moving average
            window and the strength is the reference amplitude value expressed as a percentage of
            the maximum level. Decreasing the window size increases the normalization effect and
            small detail disappears. Gain value increases with strength.




                            Figure 59 – Selection of AGC parameters




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 •     Signature deconvolution
Signature deconvolution can be used to improve temporal resolution and signal-to-noise
ratio. The bottom return must have been detected previously using the bottom detection
function. The signature template is extracted from the signal itself. The process is
governed by three parameters (see Figure 60). The signature to seabed parameter value
indicates the beginning of the template relative to the sea bottom and the signature length
parameter indicates the estimated signature length. The “Noise Level” is the Wiener
parameter relative to the maximum of the spectrum. The admissible range is [0-100%].
The Wiener parameter should be increased if the signal is noisy. In the time domain, the
seismic trace s(t) can be expressed as a convolution of the reflectivity function r(t) with the
signature signal s (t ) = r (t ) ⊗ h(t ) : The filtered reflectivity spectrum is obtained in the
Fourier domain using the Wiener filter expressed as follows:

                                                S (ν )H * (ν )
                       R(ν ) =
                                 ( H (ν )   2
                                                            (
                                                + α max H (ν )
                                                                 2
                                                                     ))
where α is the Wiener parameter.




     Figure 60 - Definitions of Signature Deconvolution Parameters

 •     Multiple removal
The multiple removal function is implemented as a predictive deconvolution filter. As has
already been explained in I.3.9, the multiple signal is estimated from the primary reflector
and then subtracted from the raw signal. In Delph Seismic Interpretation, only multiples
from the primary bottom reflector are filtered. This reflector should have been detected
previously using the bottom tracking function. Multiples are assumed to be shifted and to
be scaled versions of the direct return. In a first step, the algorithm searches for the time
of the first multiple in a window centered at twice the time of the direct. The operator can
adjust four parameters to adjust processing. See Figure 61. The Signature to Seabed
and Signature Length are the parameters used to extract the direct signal (or signature)
from the seismic trace. They have the same meaning as for the signature deconvolution
function. The search window length is the length of the correlation window while the filter
order is the order of the correlation.



                                                      MU-DSAN-AN-001-Ed A – July 2008                  44
Delph Seismic – Advanced Notes




                                Figure 61 - Multiple removal parameters


II.3.2.2 Spatial Processing

                 Two types of spatial processing can be applied to a seismic trace: horizontal stacking and
                 vertical shifting (see Figure 63). Horizontal stacking is simply a moving average for
                 successive emissions. This method provides a way to increase the signal-to-noise ratio
                 but it also decreases resolution.
                 Three vertical shift corrections can be used
                  •    Heave Correction compensates the trace for measured swell
                  •    Topo Correction shifts the trace according to a known sensor depth
                  •    The Swell Filter filters the tracked seabed for any residual swell and the trace is
                       shifted accordingly




                                Figure 62 - Spatial processing parameters

    Stacking     The ping average is deduced from the Stack Depth parameter. The Stack Depth
                 parameter in meters is converted into a number N of pings to stack knowing the shooting
                 rate and average speed of the sensor as follows:
                                                                StackDepth
                                                N stack =
                                                            Speed .ShootingRate
  Swell Filter   The swell filter function is a two-stage process:
                  •    First a low-pass filtered bottom track is computed and then the trace signal is
                       shifted according to the difference between the filtered and raw bottom track.
                  •    Following this, the profile data are aligned on a smooth bottom

                                                               MU-DSAN-AN-001-Ed A – July 2008               45
Delph Seismic – Advanced Notes


               The swell filter parameter is a period expressed in meters. It is the high-cutoff spatial
               wavelength of the filter. This means that any swell period lower than the specified period
               is attenuated. This period is converted into a number of pings N swell defined as follows:


                                                             SwellPeriod
                                              N swell =
                                                          Speed .ShootingRate
      Heave    The sign convention for heave value varies from manufacturer to manufacturer. When the
  Correction   Invert Heave Data parameter is set to Yes the sign of the heave sensor value is changed
               before being applied.


II.3.2.3 Detection Processing

               Detection processing comprises a set of automatic detection and tracking functions for
               bottom and reflector. There are two possible methods for either bottom or reflector
               tracking (see Figure 63).




                    Figure 63 - Detection of Processing Methods and Parameters

               In the first method, called the “Image Method”, the detection and tracking algorithm works
               on a 2D image extracted around the latest tracking point (see Figure 64). In that image the
               algorithm estimates the bottom/reflector by fitting a straight line through the strongest
               echo. The best line is estimated by using an image processing technique known as a
               Hough Transform. The size of the image can be adjusted by means of the two parameters
               Vertical Detection Window and Horizontal Detection Window. For a steep reflector the
               Vertical Detection Window value should be increased. The last parameter, the
               Threshold Level, is used to segment the image before detection
               In the second method, the algorithm estimates the bottom/reflector as a local maximum in
               the signal amplitude (see Figure 65). This local maximum is searched inside a window
               centered on the latest detected point whose length is defined by the parameter Vertical
               Detection Window. The search window size should be increased for a steeper reflector.



                                                             MU-DSAN-AN-001-Ed A – July 2008                 46
Delph Seismic – Advanced Notes




                         Figure 64 – Definition of Image Method Parameters




                      Figure 65 – Definitions of Amplitude Method Parameters


II.3.2.4 Generation of Geosections and Surface Horizons

               Seismic profile data and reflectors (or horizons) can be further processed to export them
               to a 3D geographical environment.

     Surface   Reflectors that have been digitized on multiple reflectors can be converted to a 3D surface
    horizons   called a surface horizon (see Figure 66). The surface horizon is created as a geographical
  generation
               projected raster image in a GeoTiff format. The geodesy parameters should be specified
               initially. The resolution parameter is the grid spacing or pixel size of the raster image. A
               typical value is 1/3rd – 1/5th the interline distance spacing. If the automatic gap detection
               option is enabled, interior contours on the surface will be detected automatically.




                        Figure 66 - Surface horizons processing parameters

                                                            MU-DSAN-AN-001-Ed A – July 2008                    47
Delph Seismic – Advanced Notes



Geosection   A geosection is a seismic profile represented as a 3D geo-referenced vertical profile. In
             the vertical direction, the scale is in milliseconds (see Figure 67). As in the case of the
             surface horizon, the geodesy parameters for the data and chart should be specified at the
             outset.
             The horizontal track is approximated by a segmented line using a decimation algorithm.
             The decimation strength is tuned using “navigation precision”. When setting a higher
             value, the track is approximated by a longer segment. This parameter should be of the
             same order as the horizontal resolution which is the horizontal distance between two
             vertical columns in the geosection image. The last parameter is the vertical resolution in
             milliseconds which should be of the same order as the sampling interval at which the
                                                      1
             seismic trace has been digitized ( Δ =      where f e is the sampling frequency).
                                                      fe




                         Figure 67 - Geosection Processing Parameters




                                                          MU-DSAN-AN-001-Ed A – July 2008                  48
Delph Seismic – Advanced Notes




                      Customer Support

Customer technical support for this product is available:
 •    by e-mail: support@ixsea.com
 •    by phone through IXSEA 24/7 hot-line:
         +33 (0)1 30 08 98 98 for EMEA
         +1 888 660 8836 (toll free) for US
         +65 6747 7027 for Asia
Contact IXSEA support for any request on technical matters related to this product.
IXSEA Customer Support is committed to providing a rapid response to your query.




                                           MU-DSAN-AN-001-Ed A – July 2008              49
Delph Seismic – Advanced Notes




                              Contact

To obtain information on any IXSEA product, a general mailbox is available with the
following address: info@ixsea.com. You can also contact IXSEA headquarters in France,
or one of its representatives around the world:

             Contact                          Phone                          Fax

 IXSEA SAS                         +33 (0) 1 30 08 98 88          +33 (0) 1 30 08 88 01
 FRANCE
 IXSEA BV                          +31 (0) 23 750 5110            +31 (0) 23 750 51 11
 THE NETHERLANDS
 IXSEA GmbH                        +49 69 247 06953               +49 69 707 68615
 GERMANY
 IXSEA Ltd
 Main Office                       + 44 (0) 2392 658252           + 44 (0) 2392 658253

 Aberdeen Office                   + 44 (0) 1224 355 160

 IXSEA Inc                         +1 (781) 937 8800              +1 (781) 937 8806
 USA
                                   Support:

                                   +1 888 660 8836 (toll free)

 IXSEA Pte Ltd                     +65 6747 4912                  +65 6747 4913
 SINGAPORE
                                   Support: +65 6747 7027

 IXSEA Pte Ltd                     +86 (0) 10 6211 4716           +86 (0) 10 6211 4718
 CHINA
                                   Support: +65 6747 7027

A detailed description of our products and a list of our representatives are available on our
website: www.ixsea.com




                                           MU-DSAN-AN-001-Ed A – July 2008                      50

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DELPH Seismic Advanced Notes

  • 1. Delph Seismic Advanced Notes
  • 2.
  • 3. Delph Seismic – Advanced Notes Copyright © 2008, IXSEA, France. All rights reserved. No part of this manual may be reproduced or transmitted, in any form or by any means, whether electronic, printed manual or otherwise, including but not limited to photocopying, recording or information storage and retrieval systems, for any purpose without prior written permission of IXSEA. Disclaimer IXSEA specifically disclaims all warranties, either express or implied, included but not limited to implied warranties of merchantability and fitness for a particular purpose with respect to this product and documentation. IXSEA reserves the right to revise or make changes or improvements to this product or documentation at any time without notify any person of such revision or improvements. In no event shall IXSEA be liable for any consequential or incidental damages, including but not limited to loss of business profits or any commercial damages, arising out of the use of this product. Trademarks Microsoft, MS-DOS and Windows are registered trademarks of Microsoft Corporation. Intel and Pentium are registered trademarks and Celeron is a trademark of Intel Corporation. MU-DSAN-AN-001-Ed A – July 2008 i
  • 4. Delph Seismic – Advanced Notes Overview of the Delph Seismic Advanced Notes This document is the Delph Seismic Advanced Notes. It must be read and understood prior to using the Delph Seismic system. The manufacturer shall in no case be held liable for any application or use that does not comply with the stipulations in this manual. The Delph Seismic Advanced Notes document is divided into two parts: • Part 1 – Seismic Imaging Principle: This first part contains a general presentation of a seismic imagery system. • Part 2 – Operating the Software: The second part describes the step by step procedure to operate the Delph Seismic software. A Table of Contents is available in the following pages to allow quick access to dedicated information. MU-DSAN-AN-001-Ed A – July 2008 ii
  • 5. Delph Seismic – Advanced Notes Table of Contents I SEISMIC IMAGING PRINCIPLE ............................................................................................................1 I.1 Seismic Imagery System Presentation..................................................................................1 I.2 Seismic Imaging Principle ......................................................................................................2 I.2.1 Wave Propagation Ray Model ..............................................................................................4 I.2.1.1 Wave Propagation 4 I.2.1.2 Reflection and Refraction 5 I.2.1.3 Absorption 6 I.2.2 Seismic Sources ...................................................................................................................6 I.2.3 Seismic Receiver ..................................................................................................................8 I.2.4 Vertical and Horizontal Resolution........................................................................................8 I.2.5 Interpreting a Seismic Profile................................................................................................9 I.2.5.1 Diffraction Point 10 I.2.5.2 Reflection on a Nearly Flat Interface 11 I.2.5.3 Sloping Interface 12 I.2.5.4 Multiple Layers 12 I.2.5.5 Swell Effect 13 I.2.5.6 Multiple Reflection 15 I.3 Seismic Processing .............................................................................................................. 17 I.3.1 Processing Flow Chart....................................................................................................... 17 I.3.2 Frequency Filtering ............................................................................................................ 18 I.3.3 Chirp Processing................................................................................................................ 19 I.3.4 Automatic Gain Control...................................................................................................... 20 I.3.4.1 Linear Time Varying Gain 21 I.3.4.2 Decremental AGC 21 I.3.4.3 Linear AGC 22 I.3.4.4 Exponential AGC 22 I.3.4.5 Normalization (AGC power) 23 I.3.5 Seabed and Reflector Tracking ......................................................................................... 23 I.3.6 Stacking ............................................................................................................................. 23 I.3.7 Bottom Correction .............................................................................................................. 23 I.3.7.1 Swell Filter 24 I.3.7.2 Heave Correction 25 I.3.7.3 Topo and Tide Correction 26 I.3.8 Signature Deconvolution.................................................................................................... 26 I.3.9 Multiple Removal ............................................................................................................... 27 I.3.10 Surface Horizons Generation ............................................................................................ 28 II OPERATING THE SOFTWARE .......................................................................................................... 29 II.1 Software Architecture........................................................................................................... 29 II.2 Data Acquisition and Storage.............................................................................................. 29 II.2.1 Seismic Acquisition Parameters ........................................................................................ 31 II.2.1.1 Standard Analog Acquisition 31 MU-DSAN-AN-001-Ed A – July 2008 iii
  • 6. Delph Seismic – Advanced Notes II.2.1.2 Chirp Acquisition 34 II.2.1.3 FSSB Digital Acquisition 37 II.2.2 Auxiliary Data Acquisition .................................................................................................. 37 II.2.3 System Geometry .............................................................................................................. 38 II.3 Data Interpretation and Processing .................................................................................... 39 II.3.1 Software General Presentation.......................................................................................... 39 II.3.2 Processing ......................................................................................................................... 41 II.3.2.1 Temporal Processing 42 II.3.2.2 Spatial Processing 45 II.3.2.3 Detection Processing 46 II.3.2.4 Generation of Geosections and Surface Horizons 47 MU-DSAN-AN-001-Ed A – July 2008 iv
  • 7. Delph Seismic – Advanced Notes I SEISMIC IMAGING PRINCIPLE I.1 Seismic Imagery System Presentation Figure 1 – Seismic Imaging Flowchart The various steps in the operation of a seismic system are shown on Figure 1: • Step 1 - An acoustic source transmits a sound wave in the water • Step 2 – The sound wave propagates through the water column • Step 3 – The sound wave is reflected on the seafloor and the layer interfaces below • Step 4 – The reflected sound wave is captured by the receivers • Step 5 – The acquired data are visualized using the acquisition software • Step 6 – The data are digitized and input into the interpretation software • Step 7 – The user processes the seismic data before interpretation The seismic imaging system produces an acoustic image of the reflector below the sea bottom. It collects data in parallel survey lines. These raw acoustic signals are recorded simultaneously with positioning data (GPS, USBL) using a dedicated acquisition software program. Following this, using the tools provided by the processing and interpretation software, it is possible to analyze the seismic profiles for classification and reporting purposes. The processed data (geosections, reflector, annotations, and measurement) can be exported to any cartographic GIS software to arrive at a full interpretation of the survey area. In the GIS data fusion can be achieved with other kinds of data (magnetic, side-scan sonar, bathymetry, etc.). MU-DSAN-AN-001-Ed A – July 2008 1
  • 8. Delph Seismic – Advanced Notes I.2 Seismic Imaging Principle Principle The basic principle in seismic imaging is to emit an acoustic wave that travels through the sea bottom and to record the acoustic signals reflected by the geological layer interfaces. The system is comprises: • A seismic source that emits a series of acoustic pulses, • A receiver that records the returned acoustic signal. The seismic source is usually separate from the receiver. The receiver is a set of hydrophones called a “streamer”. At the output, the system delivers one analog signal called a seismic trace. Multi-trace If the receiver is composed of multiple separate hydrophones or streamers, for each emission, the system records multiple traces. This type of system is called a multi-trace seismic acquisition system as opposed to a single or mono-trace system. Chirp Chirp systems have been developed in order to provide complete monitoring of the Systems emitted pulse. The system emits a chirp-modulated acoustic pulse but other modulations in frequency and amplitude are also possible. In such a system, the source transducer is a ceramic transducer and can also be used in reception. The operator can choose the variations in frequencies and amplitudes of the chirp signal. Survey The seismic source/receiver system is translated along a parallel path to survey a full area. The reflected acoustic signals are stronger at the interface between two sediment layers. The sediment can be modeled as a series of reflectors. Each reflector is defined by its time and reflection coefficient. Mathematically, the trace signal is the convolution of the acoustic wavelet (or acoustic signature) with the reflector series (see Figure 2). By translating the emitter/receiver, a 2D seismic image is formed by the adjacent traces arranged in columns. This image is called a seismic profile. The horizontal axis of the trace is the along-track distance and the vertical axis is the two-way travel time (see Figure 3). Image The principle of imaging is to estimate from the recorded seismic traces, by inversion, the true geophysical profiles, converting the two-way travel time to depth and retrieving the main physical characteristics of each layer (density, absorption and propagation velocities). The subject of this document is limited to 2D imaging, which means that the seismic data is interpreted profile by profile. The 3D imaging process generates an image of the volume composed of the combination of several seismic profiles. Parameters The main important parameters that characterize a seismic system are penetrating depth and vertical and horizontal resolution. The type of system of interest to us here is known as high resolution seismic (HR). The vertical resolution is defined by the pulse width (or bandwidth for modulated emissions). At higher frequencies, pulse width can be made smaller (or bandwidth greater) increasing the resolution but at the price of decreasing penetrating depth. Typically in the range 1 kHz to 10 kHz, the usual frequency range for MU-DSAN-AN-001-Ed A – July 2008 2
  • 9. Delph Seismic – Advanced Notes HR seismic, sound penetration may range from hundreds of meters under the sea floor to just a few meters with resolution ranging from 1 cm to a few meters. The horizontal resolution is the along-track distance between two emissions. This means that it will degrade as water depth increases, although this parameter can be improved using certain “multiping” techniques. Figure 2 – Seismic Trace Model Figure 3 – 1D Seismic Imaging MU-DSAN-AN-001-Ed A – July 2008 3
  • 10. Delph Seismic – Advanced Notes I.2.1 WAVE PROPAGATION RAY MODEL I.2.1.1 Wave Propagation Acoustic propagation in sediment is highly complex because the medium is in most cases very heterogeneous. The seabed is then usually modeled as a succession of homogeneous layers (the layer cake model in Figure 4). Each layer is characterized by its thickness Δz and constant geophysical parameters. There are three main geophysical parameters: • Sound velocity c • Density ρ • Absorption coefficient α Figure 4 – Sea Bottom Model (Layer Cake Model) There are mainly two principal types of wave propagating in sediment: • Compression waves (P wave) propagating in the direction of the pressure field • Shear waves (S wave) propagating perpendicularly to the pressure field These waves propagate at velocities dependent on numerous parameters such as porosity, density, pressure, and so on. As a rule of thumb, it is possible to say that the sound velocity will be higher in a hard sea floor such as rock or stone than in a soft floor such as sand or mud. In Table 1 below, sound velocity values are given for different types of medium. In the imaging process described later in this document, the effect of the shear waves is left out of account. This simplification helps in understanding the basic principle of imaging without fundamentally changing the interpretation. Table 1 – Sound Velocity in Sediment Medium Water Sand Hard bottom(rock) Sound velocity(m/s) ≈ 1500 ≈ 2000 ≥ 3000 MU-DSAN-AN-001-Ed A – July 2008 4
  • 11. Delph Seismic – Advanced Notes I.2.1.2 Reflection and Refraction When an acoustic wave encounters an abrupt change between two geological layers, a part of the energy is reflected back in the first layer and the other part is refracted (or transmitted) in the second layer. The change in direction of propagation is governed by Snell’s law. The propagation model used is the “geometric optic” model in which the seismic wave is assumed to propagate along a ray. This model is valid insofar as the wavelengths involved are smaller than the typical size of the homogeneities in the sin (θ i ) medium. The Snell parameter p defined by p = is constant. θ i and ci are the ci incident angle and velocity. See Figure 5. Figure 5 – Reflection and Refraction Laws at Sediment Interface The reflection coefficient R is the ratio between the reflected and incident amplitude: Z 2 − Z1 ρ i ci • R= where Zi is the impedance of medium i defined by Z i = Z 2 + Z1 cos(θ i ) where ρ i is the density, ci the sound velocity of the medium • T the transmitted amplitude is such as 1 + R = T For example, Table 2 gives the reflection coefficient at normal incidence for two interfaces: a water/hard bottom interface and a sand/limestone interface. Table 2 – Reflection coefficient First medium Water ( ρ = 1.0, V = 1500 ) Sandstone ( ρ = 2.4, V = 2000 ) Second medium Hard Bottom ( ρ = 2.5, V = 3000 ) Limestone ( ρ = 2.4, V = 3000 ) Reflection coefficient 0.66 0.2 MU-DSAN-AN-001-Ed A – July 2008 5
  • 12. Delph Seismic – Advanced Notes I.2.1.3 Absorption The third main geophysical parameter characterizing sediment is the absorption coefficient. This coefficient is highly dependent on acoustic frequency. At high frequencies up to 10 kHz, penetration is less than a few meters in sand while sound can penetrate several hundreds of meters at frequencies less than 1 kHz. I.2.2 SEISMIC SOURCES The earliest source was provided by explosives (TNT). These were then replaced by non- explosive sources, involving the compression of gas or water: • Air/Water guns • Sparker and Boomer systems using electrical discharges (see Figure 6) IXSEAprocessing chain is described in Figure 8 . For a chirp-modulated emission, the 1 temporal resolution is the inverse of the bandwidth τ = which can be further converted B c as a vertical resolution δ= . Typically, a resolution of a few cm can be obtained with 2B penetrating depths up to 200m. As an example, the Echoes 1500 works at a central frequency of 1500Hz and its bandwidth is 300-3000Hz, providing 27cm resolution. Table 3 – Seismic Sources Seismic Sources Bandwidth Water Gun 20-1500Hz Air Gun 100-1500Hz Sparker 50-4000Hz Boomer 300-3Khz Chirp 500Hz-200Khz MU-DSAN-AN-001-Ed A – July 2008 6
  • 13. Delph Seismic – Advanced Notes Figure 6 Boomer (left) and Sparker (right) Sources Figure 7 Chirp Sub-Bottom Profiler (IXSEA Echoes 1500) Figure 8 Chirp Sub-Bottom Profiler Processing Flowchart MU-DSAN-AN-001-Ed A – July 2008 7
  • 14. Delph Seismic – Advanced Notes I.2.3 SEISMIC RECEIVER Streamer A streamer comprises a set of transducers electrically wired to act as a single receiving system. The individual hydrophones are placed in a flexible tube filled with oil to ensure acoustic coupling between the component elements and then sealed (see Figure 9). The streamer is usually towed behind the source below the sea surface. Figure 9 – Hydrophone streamer (from WHOI report 67-64, 1967) Chirp System In a chirp sub-bottom profiler, the signal can be recorded on streamer but the emitting transducer can also be used for reception. In this case, the beginning of reception of the seismic signal occurs after the pulse-modulated signal has been emitted. This means that, in shallow water, the selected pulse length needs to be sufficiently short. I.2.4 VERTICAL AND HORIZONTAL RESOLUTION For a chirp sub-bottom profiler the vertical resolution is given by the inverse of the bandwidth. For an air/water gun or a sparker/boomer the vertical resolution is approximately determined by the wavelet length and can be slightly improved by applying signal processing techniques such as signature deconvolution. Figure 10 illustrates the vertical resolution in each case: wavelet and chirp-modulated signal. Figure 10 – Vertical Resolution for Chirp-Modulated and Wavelet Sources MU-DSAN-AN-001-Ed A – July 2008 8
  • 15. Delph Seismic – Advanced Notes The horizontal resolution is achieved after processing the data, after applying a migration process either in 2D or 3D for instance. The resolution obtained is given by the along- track distance between two successive emissions. This distance will depend on vessel’s speed and the time interval between two emissions. The rate of repetition (also called the shooting rate) is usually chosen for a desired penetrating depth. For deep water operation, this could severely limit the horizontal resolution of the system. Example In 6000 m of water depth, the two-way travel time of the acoustic pulse is 8 s. With a boat speed of 4 knots (2 m/s), this gives a horizontal distance of 16m between individual shots. Multiple One way to overcome this limitation is the “multiping” operating mode, which involves Emissions sending multiple emissions into the water column at the same time. Theoretically, the spatial sampling along the along-track should follow the Nyquist rule: λ c Δ< where λ= is the wavelength. 2 f For a frequency of 1.5 kHz, the theoretical spatial resolution is then 0.75 m for a velocity of 1500 m/s. This acquisition mode is further detailed in section II.2.1.2. I.2.5 INTERPRETING A SEISMIC PROFILE The seismic profile is represented in 2D coordinates as the two-way acoustic travel time versus along-track distance. See Figure 11. Figure 11 – Example of a Sparker Profile The principle of imaging is to make the link between this seismic profile and the geophysics section represented as depth versus along-track distance. This relationship is illustrated for the following basic cases: MU-DSAN-AN-001-Ed A – July 2008 9
  • 16. Delph Seismic – Advanced Notes • A diffraction point (see section I.2.5.1) • A nearly flat seabed (see section I.2.5.2) • A sloping seabed (see section I.2.5.3) The following main effects are also illustrated: • The multiple layer model (see section I.2.5.4) • A swell distortion (see section I.2.5.5) • A multiple reflection (see section I.2.5.6) The system is assumed to be mono-trace with emission and reception collocated (zero- offset imaging). The sea bottom is modeled as a homogeneous layer. I.2.5.1 Diffraction Point Where diffraction occurs (see Figure 12), the image in the seismic profile is a hyperbola with its apex vertically above the diffraction point. The shape of the hyperbola is dependent on the diffraction point depth d and the velocity c: 4( x − x0 ) 2 2 4d t ( x) − 2 2 = 20 c c Figure 12 - Diffraction Imaging The imaging process involves converting the seismic profile (time versus distance) into a Process geophysical section (depth versus distance). This is accomplished by means of a process called migration. A basic interpretation of this process is given here. As already indicated, a single point generates a hyperbola. More generally, a seismic profile can be interpreted as the sum of all hyperbolas generated by all the scatters in a profile. The reflection at an interface can for example be modeled as the sum of all the hyperbolas generated by each scatter along the interface. The principle of imaging is to reverse the propagation, with the result that each hyperbola is collapsed into a point. The principle is represented schematically in Figure 13. On trace xi, the reflection occurring at time tj could have been generated by any scatter lying on the circle Cij. By superimposing each circle for each trace xi and each reflection tj signal the hyperbola collapses on the apex point and therefore images the source point. From another point of MU-DSAN-AN-001-Ed A – July 2008 10
  • 17. Delph Seismic – Advanced Notes view, the inversion process can be viewed as repropagating the wave backward in time. For instance, at trace i, the event j is repropagated backward to time tj hence producing a wave front similar to the circle Cij. Figure 13 – Repropagation I.2.5.2 Reflection on a Nearly Flat Interface If we suppose a nearly flat seabed, as illustrated in Figure 14, and given a constant sound velocity c through the water column, the imaging process converts the depth d 0 to a two- 2d 0 way travel time t 0 using the simple formula t 0 = . Thus the seismic profile simply c shows a near flat reflector. Figure 14 – Imaging a Flat Surface MU-DSAN-AN-001-Ed A – July 2008 11
  • 18. Delph Seismic – Advanced Notes I.2.5.3 Sloping Interface In the case of a sloping seabed or reflector (see Figure 15) the seismic image also shows a sloping interface but the angle of the interface on the seismic profile differs from the true one. Using a simple geometrical manipulation, the two angles are related by the formula: tan (φ ) = tan (θ )cos(θ ) Figure 15 – Imaging a Sloping Interface I.2.5.4 Multiple Layers In practice the sea bottom is modeled as a series of homogeneous layers in which the sound propagates at a constant velocity (“layer-cake” model). The interface between the layers is not necessarily horizontal but it is usually assumed to be so. The model with horizontal layers is valid for a small section (see Figure 16). The earth could also be modeled as a constant velocity model by assuming a constant velocity V(z) up to depth z. This value is chosen so that the difference between hyperbolas given by the layer cake model and the constant velocity model is minimal. It can be shown that this velocity is the RMS (Root Mean Square) velocity defined as Vrms ( z k ) = 1 tk ∑V k 2 Δt k . Figure 16 – RMS Velocity and Constant Velocity Model MU-DSAN-AN-001-Ed A – July 2008 12
  • 19. Delph Seismic – Advanced Notes If a diffraction point at depth z is strong enough, the RMS velocity at that depth can be estimated. If the RMS velocity can be obtained at two different depths, using from the previous formula the internal velocity can then be obtained as Vrms ( z k )t k − Vrms ( z k −1 )t k −1 Vk2 = t k − t k −1 I.2.5.5 Swell Effect If the sensor is moving up/down following the movement of the sea, the reflector will shift. 2d In the absence of swell, an echo at a depth d appears at time t 0 = . c Where swell is present with an amplitude h (counted positive when the sensor is moving 2(d + h) up) the echo appears at time t = (see Figure 17). This is illustrated on real data c in Figure 18. 2h The corrected time t0 is obtained by t 0 = t − . c Swell amplitude can be determined in two ways: • Swell amplitude is measured by a heave sensor rigidly fastened to the receiver and the source. More precisely, the swell correction is in fact the sum of the measured heave at the time of emission and the heave measured at the time of reception • Swell amplitude is estimated on the data The algorithm principle is as follows: • The depth value is obtained by a bottom detection and tracking algorithm. • The swell amplitude is then obtained by subtracting a low-pass filtered depth value. The cutoff wavelength should be chosen according to the swell period observed. MU-DSAN-AN-001-Ed A – July 2008 13
  • 20. Delph Seismic – Advanced Notes Figure 17 – Swell Effect Figure 18 - Swell on a Chirp Profile MU-DSAN-AN-001-Ed A – July 2008 14
  • 21. Delph Seismic – Advanced Notes I.2.5.6 Multiple Reflection After a first reflection on the sea bottom, the acoustic wave may be reflected back by the sea surface and the bottom again before being heard by the receiver. A second arrival called a multiple is then superimposed on the seismic profile. Filtering techniques such as predictive deconvolution have been developed to suppress or at least attenuate this multiple reflection effect. On Figure 19, the multiple reflection effect is shown on a synthetic slope seabed with angle θ . Two multiples are displayed: the sea surface multiple and the bottom multiple. The emitter/receiver is at depth h. The sea surface multiple is the primary reflector translated by 2h / c , the bottom reflector has a slope θ' so that θ ' = 2 *θ (for small θ ). Figure 19 – Multiple Reflection When correcting the seismic profile for swell variation, the multiple is not fully corrected. This is a way of identifying a multiple from the primary reflector (see Figure 20 and Figure 21). MU-DSAN-AN-001-Ed A – July 2008 15
  • 22. Delph Seismic – Advanced Notes Figure 20 – Swell Correction on Multiple Figure 21 – Example of Swell Effect on Multiple MU-DSAN-AN-001-Ed A – July 2008 16
  • 23. Delph Seismic – Advanced Notes I.3 Seismic Processing Before applying any interpretation or high-level imaging process for which multiple traces or profiles must be combined, each raw trace signal should be previously filtered and corrected for basic distortion such as electrical noise, signal attenuation and source/receiver movement. I.3.1 PROCESSING FLOW CHART Low Level In the Delph Seismic Interpretation software, a full chain of low-level processing functions is available either in real-time or in post-processing. The processing flow chart is shown on Figure 22. This first processing segment (frequency filtering and automatic gain control) is dedicated to improving signal-to-noise ratio and signal contrast. The bottom detection and tracking functions are an essential part of the processing. It outputs the time of the first return (the bottom echo) for each trace. This value is needed for further processing such as swell filter multiple removal and signature deconvolution. High Level Higher level processing functions such as multiple removal, signature deconvolution, are available in post-processing. When all the reflectors have been digitized on multiple profiles, surface horizons can then be created. Reflector Reflector digitization is one of the most important tasks in seismic interpretation and could Digit be extremely tiresome with kilometers of survey line to process. An automatic tracking algorithm is a key feature in this context. Error-free, fully automatic reflector tracking (and sea bottom tracking) does not exist. For this reason, semi-automatic tracking is used in practice. Figure 22 – Processing Flowchart MU-DSAN-AN-001-Ed A – July 2008 17
  • 24. Delph Seismic – Advanced Notes I.3.2 FREQUENCY FILTERING The acoustic pressure received on the hydrophones is converted to an analog electrical signal voltage. Process A high-pass filter is applied initially to cut the low frequency electrical signal often generated by ground mass problem. The analog signal is then pre-amplified and digitized using an analog/digital converter. The sampling frequency f s is adjusted according to the Nyquist criteria: f s ≥ 2 f max where f max is the maximum frequency in the returned signal. The f max is of the order of the maximum frequency in the source wavelet but the signal spectrum is also dependent on sediment type. It is often desirable to be able to select the high- or low-pass cut-off frequency. Signal frequency content and noise also change with depth (time) and there are also advantages in varying the band-pass filter from the beginning to the end of the trace. This filter is known as a Time Varying Filter (TVF). Frequency filters are commonly and efficiently implemented as FIR (Finite Impulse Response) or IIR (Infinite Impulse Response) filters. Of all the possible filters, the linear phase filters, or better still a zero phase filter, are required in order not to avoid distortion of the phase signal information (and time delay). Zero-phase filters are obtained by applying the same linear filter in the forward and backward direction. An example of band- pass filtering is shown in Figure 23. Figure 23 – An Example of Band-Pass Filtering [100-3000Hz] (raw Up - processed Down) MU-DSAN-AN-001-Ed A – July 2008 18
  • 25. Delph Seismic – Advanced Notes I.3.3 CHIRP PROCESSING Traditional seismic systems using explosive/implosive sources (boomers, sparker air guns, etc.) are limited in resolution and frequency bandwidth. The resolution is given by the wavelet length, which cannot be made arbitrarily short. One way to improve resolution is to increase the bandwidth of the seismic source. A modern chirp seismic source emits a FM linear pulse (chirp pulse) which can be given a large bandwidth (B > 10-20 kHz), therefore providing high resolution. Increasing the pulse length T increases the signal-to- noise ratio by a factor B x T with no degradation of resolution. Upon reception, the signal is deconvolved by using the replica of the chirp source. Using the phase and the quadrature signals, the instantaneous amplitude and phase are computed. Usually, the envelope of the match-filtered signal is displayed (see Figure 24). Figure 24 – Real part (in Phase) and Envelope of a Chirp Signal MU-DSAN-AN-001-Ed A – July 2008 19
  • 26. Delph Seismic – Advanced Notes I.3.4 AUTOMATIC GAIN CONTROL The seismic signal is attenuated by the spreading of the acoustic wave and absorption in the water while propagating to the seabed. It is therefore necessary to compensate for these effects to recover a satisfactorily contrasted signal at greater depths. This is usually done by multiplying the raw signal with a time varying gain curve. There are two approaches to the computation of the gain curve: • Adaptive: with the adaptive method, or Automatic Gain Control (AGC), the time varying gain curve is computed from the signal itself and therefore changes from one trace to another. • Non-adaptive: with the non-adaptive method, each trace is multiplied by a fixed gain curve. In a traditional seismic system, the emitted wavelet amplitude/phase and shape may vary from one ping to another, making automatic gain control preferable in such cases. A fixed gain curve can be used for a chirp system, in which the emitted pulse is more stable. Automatic gain control functions are also designed to avoid saturation (or clipping) of the signal after amplification. The following sections contain a description of the most commonly used time varying gain functions: linear varying gain, linear AGC, decremental AGC, exponential AGC and first order normalization (called also AGC power). A typical example of AGC correction is shown in Figure 25. Figure 25 – Raw (top) and corrected profile (bottom) using an Automatic Gain Control function MU-DSAN-AN-001-Ed A – July 2008 20
  • 27. Delph Seismic – Advanced Notes I.3.4.1 Linear Time Varying Gain In this case, the gain curve G(t) is a linear function of time with an initial and a final gain (see Figure 26). Figure 26 – Linear Time Varying Gain I.3.4.2 Decremental AGC For each trace, a decreasing envelope is obtained and the gain curve is computed as the inverse (see Figure 27). Decremental AGC is very sensitive to noise: any spike in the signal completely cause major distortion in the decrementing envelope. Figure 27 –Decremental AGC MU-DSAN-AN-001-Ed A – July 2008 21
  • 28. Delph Seismic – Advanced Notes I.3.4.3 Linear AGC In a first step, the signal is divided into intervals. For each interval i, the maximum of the signal Mi is detected. A first gain value Gi is computed for each interval as the inverse of the maximum (see Figure 28). These gain values are then filtered by limiting the gain variation between successive intervals to a maximum variation Δg: − Δg < G 'i +1 −G 'i < Δg The corrected signal is never saturated and spikes in the signal are filtered. Selecting a small window enables greater reinforcement of the finest signal details. Figure 28 –Linear AGC I.3.4.4 Exponential AGC In a first step, the signal is divided into intervals. For each interval i, the maximum of the signal Mi is detected. A first gain value Gi is computed for each interval as the inverse of the maximum (see Figure 29). These gain values are then filtered by limiting the gain ratio between successive intervals to a maximum variation Δg: G 'i +1 − Δg < < Δg G 'i When using exponential rather than a linear AGC, greater variation between two successive intervals is allowed, which reinforces the finer detail. Figure 29 –Exponential AGC MU-DSAN-AN-001-Ed A – July 2008 22
  • 29. Delph Seismic – Advanced Notes I.3.4.5 Normalization (AGC power) Normalization forces the signal to remain at an almost constant average value from beginning to end of the trace. To do so, the trace is first filtered by a moving average window to obtain the mean amplitude curve. The Gain curve is simply the inverse of the filtered signal multiplied by a constant. This is illustrated in Figure 30. For a bipolar signal, the function takes the absolute value of the signal. Figure 30 – Normalization (AGC power) I.3.5 SEABED AND REFLECTOR TRACKING The basic principle of the seabed and reflector tracking function is to follow the strong echo reflected by a sediment interface (or horizon) from trace to trace. Seabed detection and reflector tracking are needed for additional interpretation and processing tasks. The bottom reflector is assumed to be the strongest echo at the beginning of the signal. The seabed tracking result can be replaced by any altimeter value that gives the water depth but the conversion to two-way travel time needs a correct value for sound velocity. This means that in practice detection of the first echo in the actual data is the best method. Reflector tracking is usually very difficult: the reflector is not continuous and the signal-to- noise ratio is low. For this reason, the automatic tracking functions are usually used together with manual editing in order to arrive ultimately at a satisfactory result. I.3.6 STACKING Stacking is an operation used to improve the signal-to-noise ratio by simply adding adjacent traces. Stacking is more effective if the trace has been corrected for vertical shift. These corrections are explained in the next section. This operation is used where signal- to-noise ratio is very poor because it also degrades horizontal resolution. I.3.7 BOTTOM CORRECTION The vertical time of the bottom reflector is shifted from its true position by vertical movement of the sensor. The bottom correction function is used to estimate and correct the signal for all such variations. The heave and swell filter functions are used to correct the seismic profile for short-term variation. Longer-term effects may still be observed, for MU-DSAN-AN-001-Ed A – July 2008 23
  • 30. Delph Seismic – Advanced Notes example when multiple profiles cross the same geographical area. These longer-term variations can be due to • Depth Sensor Variations: since source and receiver are towed behind the vessel, the depth sensor is moving up and down, • Tide variations. Depth sensor corrections are called topo(graphical) corrections. I.3.7.1 Swell Filter As explained in a previous section, the swell filter shifts the trace to correct from the swell variation. Only the primary reflector is compensated (see Figure 31), multiple are not compensated (see Figure 32). 2h The correction is t ' =t− where h is the swell amplitude counted positive upward. c Figure 31 – An Example of Swell Correction MU-DSAN-AN-001-Ed A – July 2008 24
  • 31. Delph Seismic – Advanced Notes Figure 32 – Swell Correction of Multiples I.3.7.2 Heave Correction The heave correction function uses the vertical motion measured by the heave sensor to align the trace with the same reference altitude value. The reference altitude value for a heave sensor is a local average of the altitudes detected by the heave filter. The correction is effective if both source and receiver are rigidly mounted on the same body as the heave sensor and if the mounting offset is known. The heave applied to the signal is the average value for heave at emission and heave at reception. The correction is hr + he t' = t − where he, hr are the heave values at emission and reception. c Heave correction and swell filtering can be used together but as shown on the flow chart in Figure 22 heave correction should be applied before tracking the seabed. The swell filter can then correct for the residual vertical movement h. hr + he 2h The overall correction, heave and swell, is then given by t ' =t− − c c This is illustrated in the sequence of figures (Figure 33, Figure 34, Figure 35 and Figure 36) based on IXSEA Echoes 3.5kHz data. Figure 33 is the raw seismic profile with no vertical correction. The heave correction is applied first and the effect is clearly visible in Figure 34, where most of the oscillations have disappeared, although some residual artifacts are still visible. The swell filter is then applied using the bottom track value shown in Figure 35 and final result is shown in Figure 36. MU-DSAN-AN-001-Ed A – July 2008 25
  • 32. Delph Seismic – Advanced Notes Figure 33 – Raw Seismic Profile Figure 34 – Heave-Corrected Seismic Profile Figure 35 – Swell Detection on Corrected Profile Figure 36 - Filtering on Heave-Corrected Profile I.3.7.3 Topo and Tide Correction Following topo correction, seismic profiles are aligned on the actual sea depth. To be more precise, the effective depth is usually assumed to be the average between the depth at time of emission and the depth at time of reception. The tide correction is then also applied and aligned to an absolute vertical reference value such as the Mean Sea Level. The overall correction, topo plus tide, is then given by Dr + De 2T t' = t + − where Dr and De are respectively the depth measured at time of c c emission and reception and T is tide value. I.3.8 SIGNATURE DECONVOLUTION The seismic trace is usually modeled as a convolution between the source signatures and the reflector model (see Figure 2). This model is valid insofar as the reflectors are well defined and if it is possible to leave internal reflection and wavelet distortion out of account. In that case, the application of a deconvolution process should enable improvement of resolution and the signal-to-noise ratio on the reflector. The signature shape needs to be known in order to perform deconvolution. If the signature is known, such as a linear FM signal in chirp system, the theoretical signature wavelet can be used to deconvolve the signal. Otherwise, the signature should be estimated from the signal itself. If the seabed echo is a strong and isolated reflector, the signal around the seabed echo will be a good replica of the emitted wavelet. When the signature has been obtained (either theoretically or from the signal) the seismic trace can be deconvolved using familiar techniques such as Wiener deconvolution. MU-DSAN-AN-001-Ed A – July 2008 26
  • 33. Delph Seismic – Advanced Notes I.3.9 MULTIPLE REMOVAL As has already been seen in the case of a shallow-water survey, a replica of the sea bottom reflector can be superimposed on the true signal and mask real features. Many “multiple removal” techniques have been developed in order to mitigate the effect of multiples in the signal. This is a difficult task and correction is never perfect. One of the techniques is based on predictive deconvolution: the “multiple” signal is estimated as a shifted and attenuated replica of the primary reflection. The shift is known to be approximately twice the bottom time. For each trace a FIR filter is computed by cross- correlation between the estimated replica and the signal. The estimated multiple is then subtracted from the raw signal. This operation is applied to all the multiples in succession. See Figure 37. Figure 37 – An Example of Multiple Removal MU-DSAN-AN-001-Ed A – July 2008 27
  • 34. Delph Seismic – Advanced Notes I.3.10 SURFACE HORIZONS GENERATION When a reflector interface has been digitized across multiple profiles, a 3D surface of the reflector can be computed by interpolating between digitized points (see Figure 38 and Figure 39). There are a number of approaches to interpolation, but a very efficient technique known as Delaunay triangulation is often used: the surface is first constructed as a mesh of facets, each facet being a triangle and being part of a triangular irregular network (TIN) model. The TIN model is converted to a regular grid by 2D interpolation. Figure 38 – Reflector Mapping Figure 39 – Reflector Triangulation and Mapping MU-DSAN-AN-001-Ed A – July 2008 28
  • 35. Delph Seismic – Advanced Notes II OPERATING THE SOFTWARE II.1 Software Architecture Figure 40 – Delph Seismic Software The Delph Seismic software (see Figure 40 and Figure 41) comprises two parts: • Delph Seismic Acquisition software dedicated to the storage of seismic and positioning data in XTF (eXtended Triton format file) or SEGY. • Delph Seismic Interpretation software dedicated to real-time processing or post- processing of the seismic profile. The software runs on a standard PC platform using windows XP. Hardware and software installation procedures are described in detail in the Delph Seismic User’s Manual. One interesting feature is that acquisition and interpretation can run on two separate workstations, with one PC dedicated to acquisition and interpretation running simultaneously in real time on a remote platform. II.2 Data Acquisition and Storage The acquisition setup is clearly described in the Delph Seismic Acquisition User’s Manual, allowing us to focus here solely on key features for acquisition. The Delph Seismic Software interface is illustrated in Figure 42. The connection between Delph and the hardware devices (seismic device, GPS, MRU, etc.) is realized through dedicated independent servers: • Serial Port and Ethernet Server dedicated to acquiring auxiliary data. • Seismic Server for acquiring and controlling the seismic device (analog or digital) Before starting any acquisition, the following three main sets of acquisition parameters need to be configured with care: • Seismic acquisition parameters • Serial /Ethernet port configuration • System Geometry MU-DSAN-AN-001-Ed A – July 2008 29
  • 36. Delph Seismic – Advanced Notes Figure 41 – Software Architecture Figure 42 – Delph Seismic Acquisition MU-DSAN-AN-001-Ed A – July 2008 30
  • 37. Delph Seismic – Advanced Notes II.2.1 SEISMIC ACQUISITION PARAMETERS There are three different acquisition systems, each configured using its own server: • Standard Analog Acquisition • Chirp Acquisition • FSSB Acquisition II.2.1.1 Standard Analog Acquisition Synchronous In this configuration, the seismic analog data are digitized using an analog-to-digital board Acquisition plugged into the PC. See the acquisition parameters in Figure 43. The signal is digitized to 24 bits with an input dynamic of +/- 10Volts. Acquisition synchronization can be either master or slave. In master mode, a TTL board is also plugged into the PC to generate the synchronization pulse. This TTL pulse is sent simultaneously to the seismic device and the acquisition board. In this case, the trigger detection parameters (level and detection edge) should be selected as 1.0V and “Rising Edge”. In slave mode, the trigger detection parameters should be selected according to pulse level and shape. Up to six channels can be recorded simultaneously. Figure 43– Acquisition Parameters Definition of acquisition parameters: Shooting Rate (or Shooting Interval): This is the time interval between two successive emissions. A better term for this would be “shooting interval” since it is expressed as a time duration. This parameter can be adjusted in master mode to trigger the source. It determines the along-track resolution as explained in section I.2.4 Sampling Frequency: This is the sampling frequency used by the A/D board to digitize the analog signal. The value for this frequency is chosen to ensure that it is more than twice the maximum frequency expected in the signal. MU-DSAN-AN-001-Ed A – July 2008 31
  • 38. Delph Seismic – Advanced Notes Recording Delay: This is the time interval between time of the emission and the beginning of the acquisition. This parameter can be changed in real time and should be smaller than the water depth. It is best set to 0 for shallow water survey and adjust it only for deep water to save disk space. Recording Length: This is the time duration of the acquisition. The number of acquired samples is obtained by dividing the time duration with the sampling frequency. This parameter should be adjusted according to the expected penetrating depth of the source. Coupling Mode: The coupling mode can be set to AC or DC. When using AC, the signal is high-pass filtered before digitization. This is required in seismic acquisition where the signal should have a zero average value. A review of all the definitions is given in Figure 44 below Figure 44 Definitions of and relationships between the main acquisition parameters As discussed above, the recording parameters follow the set of inequations defined below: • Recording Delay < 2 x WaterDepth / SoundSpeed • Recording Length + Recording Delay < Shooting Interval • Recording Length + Recording delay > 2 x (PenetratingDepth + WaterDepth) / SoundSpeed These relations define a validity domain illustrated in Figure 45. MU-DSAN-AN-001-Ed A – July 2008 32
  • 39. Delph Seismic – Advanced Notes Figure 45 - Validity Domain for Acquisition Parameters Asynchronous In the asynchronous mode, two channels are recorded independently with two different Acquisition sets of acquisition parameters, see Figure 46. One channel is usually called the “fast channel”. This channel pings at a higher shooting rate than the other channel, the “slow channel”. The fast channel is a high frequency source providing better resolution near the bottom and the second is a low frequency channel offering greater penetrating depth. The two sets of data are recorded in two different files. Figure 46 – Asynchronous Acquisition MU-DSAN-AN-001-Ed A – July 2008 33
  • 40. Delph Seismic – Advanced Notes II.2.1.2 Chirp Acquisition Design In chirp mode, the system emits a chirp pulse using a D/A board plugged inside the PC. On its return, the signal is digitized using the same analog/digital board as in the standard case (24 bits, +/-10 Volts dynamic). The chirp signal can be defined using the chirp editor software (see Figure 47) . The following parameters can be adjusted: • Minimum and Maximum Frequency: These frequencies need to be adjusted according to the bandwidth specifications of the transducer. • Chirp Length: The processing gain, which is the increase in the signal-to-noise ratio after match filtering is BT where B is the bandwidth and T the chirp length. A longer chirp increases the signal-to-noise ratio. But in practice, there are practical limitations to this. The D/A card uses an internal buffer of limited size ( N max = 4096 samples) which also limits the chirp length. If f max is the maximum frequency of the chirp, the sampling frequency Fe of the D/A board should be f e ≥ 2 f max in order to meet the Nyquist criteria. This means that the minimum number of samples for a chirp of length T and of maximum frequency f max is N = 2Tf max and we should have N ≤ N max . The chirp length is also limited by the water depth: during pulse emission, reception is saturated when using a streamer or is stopped one if the same transducer is used for emission and reception. In order to avoid disturbance to the signal, the pulse length T should be chosen 2d according to T ≤ where d is the water depth and c the estimated sound c velocity. • Frequency Modulation: One of four types of modulation can be selected: Linear: the frequency increases (or decreases) linearly from beginning to end of the pulse. Triangle: two variation slopes can be selected: one at the beginning of the pulse and the other at the end. Logarithmic: an increasing or decreasing frequency variation can be selected Power: the frequency variation is a polynomial variation (either increasing or decreasing). The degree of the polynomial can be selected. The frequency bandwidth should match the transducer bandwidth. For instance, the bandwidth of the system Echoes1500 is 650 Hz - 2.5 kHz so the low frequency should be greater than 650 Hz and the high frequency less than 2.5 kHz. • Amplitude Modulation: The amplitude modulation function determines the envelope of the chirp signal. There are four types of amplitude modulation available: No modulation Gauss: The envelope is a Gaussian. The width and position of the maximum of the Gaussian can be selected. MU-DSAN-AN-001-Ed A – July 2008 34
  • 41. Delph Seismic – Advanced Notes Cosbell: In the Cosbell modulation function, the gain increases as a cosine variation from 0 to 1 during a time interval, then decreases from 1 to 0 at the end of the signal. The time interval value is user-selectable. Hamming: The modulation is a cosine function. There is no parameter. Using an amplitude modulation function decreases the side lobe amplitude in the match- filtered signal at the expense of degrading the resolution. Figure 47 – Chirp Acquisition Interface (left) and Design tool box (right) Multiping In the case of the standard system, two acquisition modes are available: master or slave. Acquisition In master mode, the operator can also activate the multiping acquisition mode. Mode As explained in section I.2.4 , this pinging mode is used to improve the along-track resolution where the water is very deep (typically hundreds of meters). The basic principle involves sending multiple pings into the water column. A nominal shooting interval is selected to provide the desired along-track resolution. This nominal shooting interval value should be set at a higher level than the minimum shooting interval supported by the seismic source. If the water depth is known, the system can then compute a shooting interval as close as possible to the nominal value. If the water depth is measured using an altimeter, you can select this entry to ensure that the system automatically computes the shooting rate. Otherwise, it is possible to set the recording delay manually, which is taken as the water depth value. In automatic mode, the water depth is converted to a two-way travel time using the sound velocity value. The software does not continuously change the shooting rate at every variation in water depth. The software requires recording delay to be varied in steps. The “Recording Delay Step” parameter is the window size in which the recording delay (like water depth) can vary. At each excursion of water depth outside this window, the window is shifted to center on the new depth value and a new shooting rate and recording delay is computed for the following traces. This is illustrated in Figure 48. MU-DSAN-AN-001-Ed A – July 2008 35
  • 42. Delph Seismic – Advanced Notes Figure 48 - Multiping Algorithm Principle Parameters Where the standard acquisition mode is concerned, the operator selects a recording Selection length which corresponds to the expected penetrating depth. However, in Chirp mode, in order to get a correct match-filtered signal at the end of the trace, this value should be increased with the chirp length. Figure 49 - Relation between Acquisition Parameter in Chirp Mode In multiping mode, the recording length should be increased along with the “recording delay step” parameter. As is also explained in the Design section, during the time of the chirp emission, the received signal cannot be exploited. This entails a need to increase the nominal shooting rate set in multiping mode by the chirp length. MU-DSAN-AN-001-Ed A – July 2008 36
  • 43. Delph Seismic – Advanced Notes In Chirp mode, the recording parameters should therefore follow the set of inequations defined below (see also in Figure 49): • ChirpLength < 2 x WaterDepth / SoundSpeed • RecordingDelay < 2 x WaterDepth / SoundSpeed • RecordingLength + RecordingDelay < ShootingRate • RecordingLength + RecordingDelay > 2 x (PenetratingDepth + WaterDepth) / SoundSpeed + ChirpLength In Multiping Mode we also have: NominalShootingInterval> 2 x (PenetratingDepth + WaterDepth) / SoundSpeed + 2 x ChirpLength II.2.1.3 FSSB Digital Acquisition The FSSB server is dedicated to the acquisition of all the Edgetech sub-bottom profiler The FSSB device can be fully configured using the Ethernet interface. See Figure 50. Figure 50 – FSSB Server II.2.2 AUXILIARY DATA ACQUISITION Auxiliary data are recorded through a serial or Ethernet interface using the dedicated Serial server. The server is also responsible for the synchronization of the PC clock with the GPS time: as soon as a GPS time is acquired, the server computes the time difference between the PC clock and the GPS time. If the time difference is more than half a second the PC clock is resynchronized. Serial data are then time-stamped inside the server using the PC clock. The main important sensors that can be acquired are: • Any standard positioning system which sends NMEA strings, • Heave sensors such as the IXSEA Octans, • TSS motion sensors, • Depth sensors providing a depth output in the form of a standard NMEA string. The software interface of the Serial server is shown in Figure 51. MU-DSAN-AN-001-Ed A – July 2008 37
  • 44. Delph Seismic – Advanced Notes Figure 51 – Serial/Ethernet Server II.2.3 SYSTEM GEOMETRY Figure 52 – Set-UpGeometry Before starting any acquisition, the system geometry needs to be correctly defined. This is accomplished through the system geometry graphics tool show in Figure 52 above. Care must be taken to enter the correct offset or some of the processing functions may not work correctly (heave correction, mapping, etc.). All offsets are measured with respect to an arbitrary point in a three-axis reference frame. MU-DSAN-AN-001-Ed A – July 2008 38
  • 45. Delph Seismic – Advanced Notes II.3 Data Interpretation and Processing II.3.1 SOFTWARE GENERAL PRESENTATION Figure 53 – Interpretation Software Architecture in Real Time The Delph Seismic Interpretation software is a standalone software program for processing individual seismic profiles either in real-time or in post-processing. In real time, the Delph real-time monitor makes the connection between the acquisition and interpretation software. The monitor looks for a newly acquired seismic file (XTF or SEGY) and when a new file is created, it automatically runs the interpretation software. In post- processing, the interpretation can also be executed from the Delph RoadMap software (see Figure 53, Figure 54, Figure 55). MU-DSAN-AN-001-Ed A – July 2008 39
  • 46. Delph Seismic – Advanced Notes Figure 54 – How to Start Figure 55 – Interpretation Software Architecture Post-processing In the interpretation software, the seismic profile is displayed horizontally. The vertical axis is the two-way travel time. The horizontal axis is the along-track distance in meters computed from the beginning of the file as shown in Figure 56. All the processing functions are gathered in the processing panel. The interpretation tools such as digitization are located in the interpretation panel. MU-DSAN-AN-001-Ed A – July 2008 40
  • 47. Delph Seismic – Advanced Notes Figure 56 – Interpretation Software Interface II.3.2 PROCESSING The general processing flowchart shown in Figure 22 summarizes the processing functions briefly described in I.3. This section is intended to provide more insight into how this processing is implemented in Delph Seismic Interpretation and also to explain the meaning of all the parameters. This ensures better understanding of how and why to adjust them. In Delph Seismic Interpretation, the processing functions are divided into three groups as shown in Figure 57. Figure 57 - Delph Seismic Interpretation Processing Functions The surface horizon and geosection generation functions, which are described later, are not included in this panel but are accessible in post-processing through the replay loader tools or directly in Delph RoadMap. MU-DSAN-AN-001-Ed A – July 2008 41
  • 48. Delph Seismic – Advanced Notes II.3.2.1 Temporal Processing • Filter Available filters are Low-Pass, High-Pass and Time Varying Filter, see Figure 58. High-pass and low-pass filters are zero-phase IIR filters. Low-cut frequency can be selected in the range 1% to 30% of the sampling frequency, and the high-cut frequency in the range 15% to 40% of the sampling frequency. As shown in the processing flow chart, the high-pass filtering is applied first and the low-pass filtering is applied after the AGC function. Low-pass filtering is useful to attenuate high-frequency noise levels appearing in the signal after applying AGC functions. For the Time Varying Filter (TVF), two bandwidths must be selected: one for the beginning of the trace, and the other for application at a user-defined time (end of variation parameter). When using the Time Varying Filter, the trace signal is filtered twice using each band-pass filter and the final trace output is simply a linear combination of the two band-pass filtered signals. The band-pass filter is obtained by successively applying a high-pass and a low- pass filter. The TVF function is applied before any AGC functions. Figure 58 – Frequency Filtering Parameters MU-DSAN-AN-001-Ed A – July 2008 42
  • 49. Delph Seismic – Advanced Notes • Gain Control In Delph Seismic Interpretation, five different gain controls are available (see Figure 59). TVG The first, TVG, applies a fixed gain to the signal. All that is needed is to select the gain for the beginning (start gain) and the end of the trace (end gain). The gain values are in the range [0-100]. If for example a “Start Gain” of 2 is selected, and an “End Gain” of 10 this will mean that mean that the value of the first sample is multiplied by 2 and the value of the last sample by 10. In between, the gain value will be varied linearly. The other four gain functions described below are all adaptive gain methods. These principles have been explained in section I. The strength parameters for linear and exponential AGC correspond respectively to the maximum increment or ratio ( Δ g ). The AGC power is the normalization gain. AGC In the case of AGC (decremental, linear and exponential), decreasing the window size increases the resolution, enhancing the finer details. Gain increases with increasing strength. AGC Power Where AGC power is concerned, the window size is the size of the moving average window and the strength is the reference amplitude value expressed as a percentage of the maximum level. Decreasing the window size increases the normalization effect and small detail disappears. Gain value increases with strength. Figure 59 – Selection of AGC parameters MU-DSAN-AN-001-Ed A – July 2008 43
  • 50. Delph Seismic – Advanced Notes • Signature deconvolution Signature deconvolution can be used to improve temporal resolution and signal-to-noise ratio. The bottom return must have been detected previously using the bottom detection function. The signature template is extracted from the signal itself. The process is governed by three parameters (see Figure 60). The signature to seabed parameter value indicates the beginning of the template relative to the sea bottom and the signature length parameter indicates the estimated signature length. The “Noise Level” is the Wiener parameter relative to the maximum of the spectrum. The admissible range is [0-100%]. The Wiener parameter should be increased if the signal is noisy. In the time domain, the seismic trace s(t) can be expressed as a convolution of the reflectivity function r(t) with the signature signal s (t ) = r (t ) ⊗ h(t ) : The filtered reflectivity spectrum is obtained in the Fourier domain using the Wiener filter expressed as follows: S (ν )H * (ν ) R(ν ) = ( H (ν ) 2 ( + α max H (ν ) 2 )) where α is the Wiener parameter. Figure 60 - Definitions of Signature Deconvolution Parameters • Multiple removal The multiple removal function is implemented as a predictive deconvolution filter. As has already been explained in I.3.9, the multiple signal is estimated from the primary reflector and then subtracted from the raw signal. In Delph Seismic Interpretation, only multiples from the primary bottom reflector are filtered. This reflector should have been detected previously using the bottom tracking function. Multiples are assumed to be shifted and to be scaled versions of the direct return. In a first step, the algorithm searches for the time of the first multiple in a window centered at twice the time of the direct. The operator can adjust four parameters to adjust processing. See Figure 61. The Signature to Seabed and Signature Length are the parameters used to extract the direct signal (or signature) from the seismic trace. They have the same meaning as for the signature deconvolution function. The search window length is the length of the correlation window while the filter order is the order of the correlation. MU-DSAN-AN-001-Ed A – July 2008 44
  • 51. Delph Seismic – Advanced Notes Figure 61 - Multiple removal parameters II.3.2.2 Spatial Processing Two types of spatial processing can be applied to a seismic trace: horizontal stacking and vertical shifting (see Figure 63). Horizontal stacking is simply a moving average for successive emissions. This method provides a way to increase the signal-to-noise ratio but it also decreases resolution. Three vertical shift corrections can be used • Heave Correction compensates the trace for measured swell • Topo Correction shifts the trace according to a known sensor depth • The Swell Filter filters the tracked seabed for any residual swell and the trace is shifted accordingly Figure 62 - Spatial processing parameters Stacking The ping average is deduced from the Stack Depth parameter. The Stack Depth parameter in meters is converted into a number N of pings to stack knowing the shooting rate and average speed of the sensor as follows: StackDepth N stack = Speed .ShootingRate Swell Filter The swell filter function is a two-stage process: • First a low-pass filtered bottom track is computed and then the trace signal is shifted according to the difference between the filtered and raw bottom track. • Following this, the profile data are aligned on a smooth bottom MU-DSAN-AN-001-Ed A – July 2008 45
  • 52. Delph Seismic – Advanced Notes The swell filter parameter is a period expressed in meters. It is the high-cutoff spatial wavelength of the filter. This means that any swell period lower than the specified period is attenuated. This period is converted into a number of pings N swell defined as follows: SwellPeriod N swell = Speed .ShootingRate Heave The sign convention for heave value varies from manufacturer to manufacturer. When the Correction Invert Heave Data parameter is set to Yes the sign of the heave sensor value is changed before being applied. II.3.2.3 Detection Processing Detection processing comprises a set of automatic detection and tracking functions for bottom and reflector. There are two possible methods for either bottom or reflector tracking (see Figure 63). Figure 63 - Detection of Processing Methods and Parameters In the first method, called the “Image Method”, the detection and tracking algorithm works on a 2D image extracted around the latest tracking point (see Figure 64). In that image the algorithm estimates the bottom/reflector by fitting a straight line through the strongest echo. The best line is estimated by using an image processing technique known as a Hough Transform. The size of the image can be adjusted by means of the two parameters Vertical Detection Window and Horizontal Detection Window. For a steep reflector the Vertical Detection Window value should be increased. The last parameter, the Threshold Level, is used to segment the image before detection In the second method, the algorithm estimates the bottom/reflector as a local maximum in the signal amplitude (see Figure 65). This local maximum is searched inside a window centered on the latest detected point whose length is defined by the parameter Vertical Detection Window. The search window size should be increased for a steeper reflector. MU-DSAN-AN-001-Ed A – July 2008 46
  • 53. Delph Seismic – Advanced Notes Figure 64 – Definition of Image Method Parameters Figure 65 – Definitions of Amplitude Method Parameters II.3.2.4 Generation of Geosections and Surface Horizons Seismic profile data and reflectors (or horizons) can be further processed to export them to a 3D geographical environment. Surface Reflectors that have been digitized on multiple reflectors can be converted to a 3D surface horizons called a surface horizon (see Figure 66). The surface horizon is created as a geographical generation projected raster image in a GeoTiff format. The geodesy parameters should be specified initially. The resolution parameter is the grid spacing or pixel size of the raster image. A typical value is 1/3rd – 1/5th the interline distance spacing. If the automatic gap detection option is enabled, interior contours on the surface will be detected automatically. Figure 66 - Surface horizons processing parameters MU-DSAN-AN-001-Ed A – July 2008 47
  • 54. Delph Seismic – Advanced Notes Geosection A geosection is a seismic profile represented as a 3D geo-referenced vertical profile. In the vertical direction, the scale is in milliseconds (see Figure 67). As in the case of the surface horizon, the geodesy parameters for the data and chart should be specified at the outset. The horizontal track is approximated by a segmented line using a decimation algorithm. The decimation strength is tuned using “navigation precision”. When setting a higher value, the track is approximated by a longer segment. This parameter should be of the same order as the horizontal resolution which is the horizontal distance between two vertical columns in the geosection image. The last parameter is the vertical resolution in milliseconds which should be of the same order as the sampling interval at which the 1 seismic trace has been digitized ( Δ = where f e is the sampling frequency). fe Figure 67 - Geosection Processing Parameters MU-DSAN-AN-001-Ed A – July 2008 48
  • 55. Delph Seismic – Advanced Notes Customer Support Customer technical support for this product is available: • by e-mail: support@ixsea.com • by phone through IXSEA 24/7 hot-line: +33 (0)1 30 08 98 98 for EMEA +1 888 660 8836 (toll free) for US +65 6747 7027 for Asia Contact IXSEA support for any request on technical matters related to this product. IXSEA Customer Support is committed to providing a rapid response to your query. MU-DSAN-AN-001-Ed A – July 2008 49
  • 56. Delph Seismic – Advanced Notes Contact To obtain information on any IXSEA product, a general mailbox is available with the following address: info@ixsea.com. You can also contact IXSEA headquarters in France, or one of its representatives around the world: Contact Phone Fax IXSEA SAS +33 (0) 1 30 08 98 88 +33 (0) 1 30 08 88 01 FRANCE IXSEA BV +31 (0) 23 750 5110 +31 (0) 23 750 51 11 THE NETHERLANDS IXSEA GmbH +49 69 247 06953 +49 69 707 68615 GERMANY IXSEA Ltd Main Office + 44 (0) 2392 658252 + 44 (0) 2392 658253 Aberdeen Office + 44 (0) 1224 355 160 IXSEA Inc +1 (781) 937 8800 +1 (781) 937 8806 USA Support: +1 888 660 8836 (toll free) IXSEA Pte Ltd +65 6747 4912 +65 6747 4913 SINGAPORE Support: +65 6747 7027 IXSEA Pte Ltd +86 (0) 10 6211 4716 +86 (0) 10 6211 4718 CHINA Support: +65 6747 7027 A detailed description of our products and a list of our representatives are available on our website: www.ixsea.com MU-DSAN-AN-001-Ed A – July 2008 50