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1
EARTH
Chapter 6-1
2
GRAVITY SURVEYING
Gravity surveying, subsurface geology is
investigated on the basis of variations in the
Earth’s gravitational field arising from
differences of density between subsurface rocks.
An underlying concept is the idea of a causative
body, which is a rock unit of different density
from its surroundings. A causative body
represents a subsurface zone of anomalous
mass & causes a localized perturbation in the
gravitational field known as a gravity anomaly.
A wide range of geological situations give rise to
zones of anomalous mass that produce
significant gravity anomalies. On a small scale,
buried relief on a bedrock surface, such as a
3
6.2 Basic theory
The basis of the gravity survey method is
Newton’s Law of Gravitation, which states that
the force of attraction F between two masses m1
and m2, whose dimensions are small with
respect to the distance r between them, is given
by F = Gm1 m2 / r2
where G is the Gravitational
Constant (6.67 X 10-11
m3
kg-1
s-2
).
Consider the gravitational attraction of a
spherical, nonrotating, homogeneous Earth of
mass M and radius R on a small mass m on its
surface. It is relatively simple to show that the
mass of a sphere acts as though it were
concentrated at the centre of the sphere and by
4
Fig. 6.1
Principle
of
stable
gravimet
er
operatio
n.
5
6.3 Units of gravity
The mean value of gravity at the Earth’s
surface is about 9.8 ms-2
. Variations in gravity
caused by density variations in the subsurface
are of the order of 100 μms-2
. This unit of the
micrometre per second per second is referred
to as the gravity unit (gu). In gravity surveys on
land an accuracy of ±0.1 gu is readily attainable,
corresponding to about one hundred millionth
of the normal gravitational field. At sea the
accuracy obtainable is considerably less, about
±10 gu. The c.g.s. unit of gravity is the milligal
(1 mgal = 10-3
gal = 10-3
cms-2
), equivalent to 10 gu.
6
6.4 Measurement of gravity
Since gravity is an acceleration, its
measurement should simply involve
determinations of length and time. However,
such apparently simple measurements are not
easily achievable at the precision and accuracy
required in gravity surveying. The
measurement of an absolute value of gravity is
difficult and requires complex apparatus and a
lengthy period of observation. Such
measurement is classically made using large
pendulums or falling body techniques, which
can be made with a precision of 0.01gu.
Instruments for measuring absolute gravity in
the field were originally bulky, expensive and
7
Fig. 6.2
Principle
of the
LaCoste
and
Romberg
gravimet
er.
8
Fig. 6.3 Cross-coupling in a shipborne
gravimeter.
9
Fig. 6.4 Principle of the accelerometer unit
of the Bell marine gravimeter.(After Bell &
10
6.5 Gravity anomalies
Gravimeters effectively respond only to
the vertical component of the
gravitational attraction of an anomalous
mass. Consider the gravitational effect of
an anomalous mass δg, with horizontal
and vertical components δgx and δgz,
respectively, on the local gravity field g
and its representation on a vector
diagram (Fig.6.5).
11
Fig. 6.5
Relationshi
p between
the
gravitation
al field and
the
component
s of the
gravity
anomaly of
a small
12
Fig. 6.6 Gravity anomaly of a point mass or
sphere.
13
Fig. 6.7
Coordinate
s
describing
an infinite
horizontal
line mass.
14
Fig. 6.8
The gravity
anomaly of
an element
of a mass of
irregular
shape.
15
6.7 Gravity surveying
The station spacing in gravity survey may
vary from a few meters in the case of
detailed mineral or geotechnical surveys to
several kilometers in regional
reconnaissance surveys. The station
density should be greatest where the
gravity field is changing most rapidly, as
accurate measurement of gravity gradients
is critical to subsequent interpretation. If
absolute gravity values are required in
order to interface the results with other
gravity surveys, at least one easily
accessible base station must be available
16
If the location of the nearest IGSN
(International Gravity Standardization Net) station
is inconvenient, a gravimeter can be used to
establish a local base by measuring the
difference in gravity between the IGSN station
and the local base. Because of instrumental
drift this cannot be accomplished directly and
a procedure known as looping is adopted. A
series of alternate readings at recorded times
is made at the two stations and drift curves
constructed for each (Fig. 6.9). The differences
in ordinate measurements (Δg1–4) for the two
stations then may be averaged to give a
6.7 Gravity surveying
17
Fig. 6.9 The principle of looping. Crosses and
circles represent alternate gravimeter readings
taken at two base stations. The vertical
separations between the drift curves for the two
stations (Dg1–4) provide an estimate of the
gravity difference between them.
18
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A Gravity survey is an indirect (surface) means of calculating the density property of subsurface materials. The higher the gravity values, the denser the rock beneath.

  • 2. 2 GRAVITY SURVEYING Gravity surveying, subsurface geology is investigated on the basis of variations in the Earth’s gravitational field arising from differences of density between subsurface rocks. An underlying concept is the idea of a causative body, which is a rock unit of different density from its surroundings. A causative body represents a subsurface zone of anomalous mass & causes a localized perturbation in the gravitational field known as a gravity anomaly. A wide range of geological situations give rise to zones of anomalous mass that produce significant gravity anomalies. On a small scale, buried relief on a bedrock surface, such as a
  • 3. 3 6.2 Basic theory The basis of the gravity survey method is Newton’s Law of Gravitation, which states that the force of attraction F between two masses m1 and m2, whose dimensions are small with respect to the distance r between them, is given by F = Gm1 m2 / r2 where G is the Gravitational Constant (6.67 X 10-11 m3 kg-1 s-2 ). Consider the gravitational attraction of a spherical, nonrotating, homogeneous Earth of mass M and radius R on a small mass m on its surface. It is relatively simple to show that the mass of a sphere acts as though it were concentrated at the centre of the sphere and by
  • 5. 5 6.3 Units of gravity The mean value of gravity at the Earth’s surface is about 9.8 ms-2 . Variations in gravity caused by density variations in the subsurface are of the order of 100 μms-2 . This unit of the micrometre per second per second is referred to as the gravity unit (gu). In gravity surveys on land an accuracy of ±0.1 gu is readily attainable, corresponding to about one hundred millionth of the normal gravitational field. At sea the accuracy obtainable is considerably less, about ±10 gu. The c.g.s. unit of gravity is the milligal (1 mgal = 10-3 gal = 10-3 cms-2 ), equivalent to 10 gu.
  • 6. 6 6.4 Measurement of gravity Since gravity is an acceleration, its measurement should simply involve determinations of length and time. However, such apparently simple measurements are not easily achievable at the precision and accuracy required in gravity surveying. The measurement of an absolute value of gravity is difficult and requires complex apparatus and a lengthy period of observation. Such measurement is classically made using large pendulums or falling body techniques, which can be made with a precision of 0.01gu. Instruments for measuring absolute gravity in the field were originally bulky, expensive and
  • 8. 8 Fig. 6.3 Cross-coupling in a shipborne gravimeter.
  • 9. 9 Fig. 6.4 Principle of the accelerometer unit of the Bell marine gravimeter.(After Bell &
  • 10. 10 6.5 Gravity anomalies Gravimeters effectively respond only to the vertical component of the gravitational attraction of an anomalous mass. Consider the gravitational effect of an anomalous mass δg, with horizontal and vertical components δgx and δgz, respectively, on the local gravity field g and its representation on a vector diagram (Fig.6.5).
  • 11. 11 Fig. 6.5 Relationshi p between the gravitation al field and the component s of the gravity anomaly of a small
  • 12. 12 Fig. 6.6 Gravity anomaly of a point mass or sphere.
  • 14. 14 Fig. 6.8 The gravity anomaly of an element of a mass of irregular shape.
  • 15. 15 6.7 Gravity surveying The station spacing in gravity survey may vary from a few meters in the case of detailed mineral or geotechnical surveys to several kilometers in regional reconnaissance surveys. The station density should be greatest where the gravity field is changing most rapidly, as accurate measurement of gravity gradients is critical to subsequent interpretation. If absolute gravity values are required in order to interface the results with other gravity surveys, at least one easily accessible base station must be available
  • 16. 16 If the location of the nearest IGSN (International Gravity Standardization Net) station is inconvenient, a gravimeter can be used to establish a local base by measuring the difference in gravity between the IGSN station and the local base. Because of instrumental drift this cannot be accomplished directly and a procedure known as looping is adopted. A series of alternate readings at recorded times is made at the two stations and drift curves constructed for each (Fig. 6.9). The differences in ordinate measurements (Δg1–4) for the two stations then may be averaged to give a 6.7 Gravity surveying
  • 17. 17 Fig. 6.9 The principle of looping. Crosses and circles represent alternate gravimeter readings taken at two base stations. The vertical separations between the drift curves for the two stations (Dg1–4) provide an estimate of the gravity difference between them.