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Insights from the great 2011
                       Japan earthquake
                                                                                      Thorne Lay and Hiroo Kanamori

                                     The diverse set of waves generated in Earth’s interior, oceans,
                                   and atmosphere during the devastating Tohoku-oki earthquake
                                                           reveal some extraordinary geophysics.




O
                n 11 March 2011, the nation of Japan     measure of radiated seismic energy, see box 1.) The
                and geophysicists around the world       huge event abruptly released elastic strain energy
                received a terrible surprise: A huge     that had accumulated in the rocks on either side of
                earthquake, significantly stronger       the shallow-dipping plate boundary—the mega-
                than people had anticipated or pre-      thrust fault—for more than a millennium since the
pared for in the region, struck off the northeastern     last great earthquake in the central part of the
shore of Honshu. Shear sliding on the fault where        megathrust, which occurred in 869 with Mw ≥ 8.3.
the Pacific Plate thrusts below Japan lasted for         (Another large earthquake occurred in 1611 near the
150 anxiety-filled seconds, shifted the coast of Japan   northern part of the 2011 rupture zone, but its de-
up to 5 m eastward, and lifted the sea floor by as       tails are murky and still debated.)
much as 5 m over 15 000 km2, an area comparable to             The strain release generated seismic, tsunami,
the state of Connecticut.1,2 Displacements as large as   and atmospheric waves that spread through Earth.
60 to 80 m—the largest ever measured for an earth-       Those wave phenomena were captured by thou-
quake—occurred near the subduction trench, and a         sands of geophysical facilities worldwide, including
total strain energy equivalent to a 100-megaton ex-      dense Japanese networks of seismic and GPS sta-
plosion was released during the sliding. This was the    tions deployed after the devastating 1995 Kobe
great 2011 Tohoku-oki earthquake, so-named for the       earthquake, and by the large numbers of tsunami
region it struck, shown in figure 1.                     gauges and deepwater pressure sensors deployed
     The sudden sea-floor displacement generated a       near Japan and across the Pacific Ocean following
massive tsunami that swept onto hundreds of kilo-        the Sumatra–Andaman earthquake and tsunami
meters of coastline along the islands of Honshu and      in December 2004 (see PHYSICS TODAY, June 2005,
Hokkaidō. Tsunami waves 3–15 m high overtopped           page 19). Combined with extensive recordings from
harbor-protecting tsunami walls and coastal mar-         global seismic networks, the data from those sta-
gins and penetrated as far as 10 km inland along the     tions, gauges, and sensors make the 2011 Tohoku-
coastal plain.3 The flood destroyed many small           oki event the best-recorded earthquake and tsunami
towns and villages, killed some 20 000 people, and       in history.1,4
initially displaced nearly half a million; six months
later, tens of thousands were still living in high       Plate-boundary physics
school gymnasiums and other temporary quarters           Great earthquakes are those whose moment magni-
(see PHYSICS TODAY, November 2011, page 20). The         tudes are 8.0 or higher. Their activity varies signifi-
high waves also disrupted the power supply needed        cantly between different subduction zones. Some
to maintain water circulation for cooling the reac-      subduction zones—for example, ones in southern
tors at the Fukushima nuclear power plant, which         Chile, Sumatra, and southwestern Japan—produce
precipitated a catastrophic release of radiation that    repeated, great-earthquake ruptures every century
continues to plague central Japan.                       or two, while others—in the Mariana Islands and
     Located along the Pacific Ring of Fire, Japan has   Tonga, say—produce them rarely, if ever.
experienced a long history of earthquakes, but the
Tohoku-oki quake was a rare giant with no instru-        Thorne Lay and Hiroo Kanamori are seismologists at the University of
mentally recorded precedent. Researchers estimate        California, Santa Cruz, and the California Institute of Technology in Pasadena,
its moment magnitude Mw at 9.0. (To appreciate that      respectively.


www.physicstoday.org                                                                        December 2011         Physics Today       33
Japan earthquake

            a                                                                                      b                                        c
                                                                                               46                                           46        Height of tsunami
                                                                                                                                                      wall at Fukushima plant




                                                                             nch
                   100 km
           41
                                                                                               44                                           44




                                                                          Tre
                                                                                                                                                             Run-up




                                                                                                                                Hokkaidō
                                                                                                              Hokkaidō                                       Inundation




                                                                         an
                                                                        Jap
                                                                                               42                                           42




                                                                                        LATITUDE
           40                     Sanriku
                                  region




                                                                                                                                Sanriku
                                                                                               40                                           40
                                                                                                       Honshu
                                                          1896
           39           Honshu                                   1933                          38                                           38




                                                                                                                                Fukushima
                       Sendai                                                 Pacific
                                                                              Plate            36                                           36
LATITUDE




           38

                    Fukushima                     869                                          34                                           34
                                                                                                       140     142  144      146                 0    10  20   30               40
                                                                                                             LONGITUDE                                 HEIGHT (m)
           37                                                                     Figure 1. (a) The red star marks the epicenter of the
                                                                                  11 March 2011 Tohoku-oki earthquake, which occurred
                                                                                  across the fault where the Pacific Plate subducts under
                                                                                  Japan. (Arrows indicate the plate’s direction of motion.)
           36                                                                     The pink and pale green patches delimit portions of the
                                                                                  fault that ruptured with distinct frictional characteristics
                                                     2011 Modest slip, strong
                                                                                  during the 150-s earthquake, and the red dots delimit the
                                                     short-period radiation
                                                                                  one-day aftershock region. Light blue dots encircle rupture
           35                                        2011 Large slip, weak        zones of historic large earthquakes, and the purple dots
                                                     short-period radiation,      encircle the approximate source of a large tsunami in 869.
                                                     strong tsunami generation    (Adapted from ref. 2.) (b) A map of the Honshu and
                                                                                  Hokkaidō islands and (c) the relative locations and heights
           34                                                                     of the 2011 tsunami inundation (red, the maximum flood
             139      140        141        142    143      144       145     146
                                                                                  level reached) and the tsunami run-up (blue, the maximum
                                            LONGITUDE                             elevation reached). (Adapted from ref. 3.)


                                      That variability is attributable to differences in                the seismic patches alone. An example of such
                                plate-boundary frictional characteristics, illustrated                  behavior has been observed for a great earthquake
                                in figure 2. Dark patches represent seismic portions                    that occurred along the Ecuador–Colombia coast
                                of the fault surface where the slip generates earth-                    in 1906.
                                quakes, and white patches represent areas where                              The Tohoku-oki subduction zone is thought to
                                the slip is primarily aseismic—slowly sliding with-                     comprise a mixture of such seismic and aseismic
                                out earthquakes. At shallow depths, the seismic                         patches and a concomitant mix of frictional charac-
                                patches can rupture as tsunami earthquakes—a                            teristics that can lead to an unusual diversity of rup-
                                name reserved for large, tsunami-generating events                      ture patterns. Subregions slide aseismically around
                                that, because of unusually low rupture-expansion                        localized patches that fail repeatedly in a number of
                                rates, occur without generating strong, short-period                    ways—as frequent small earthquakes; as moderate-
                                seismic waves. Conditionally stable regions nor-                        sized earthquakes accompanied by large amounts
                                mally slip continuously but can also slip seismically                   of slow, postseismic slip of a few centimeters per
                                when loaded abruptly during the failure of neigh-                       day instead of the typical kilometers-per-second
                                boring seismic patches.                                                 rate of an earthquake rupture; or as shallow tsunami
                                      The ratio of the area of seismic patches to the                   earthquakes.1,5
                                total area of the fault is large for subduction zones                        The shallow portion of the megathrust just
                                with frequent great earthquakes and small for zones                     north of the 2011 earthquake zone and illustrated in
                                with infrequent great earthquakes. Depending on                         figures 1a and 2b ruptured during the great 1896
                                how regions of the megathrust with different rup-                       (Mw about 8.2) tsunami earthquake. The Pacific
                                ture characteristics fail, though, diverse earthquake                   Plate in that region also experienced an internal rup-
                                sequences are possible. A failure of one seismic                        ture in 1933 from extension near the Japan trench.
                                patch may produce a single, large earthquake. But                       Similarly large megathrust earthquakes within the
                                when two or more patches fail in a cascade that also                    2011 rupture zone during the past century all oc-
                                prompts conditionally stable regions between them                       curred near the coast, but the region farther offshore
                                to slip seismically, the result is a much larger earth-                 where large slip occurred in the 2011 event was
                                quake than one would otherwise expect from just                         known to have previously ruptured only in the 869

      34        December 2011          Physics Today                                                                                                 www.physicstoday.org
a                                                                          b
                                                                                   Sanriku-oki
                                                                                                                      1933
                                                                                        1896 tsunami
                                                                                        earthquake              ip
                                                                                                            p-d
                        JAPA
                            N                                                                           p U
                                                                                                     di
                                                                                                  n-
                                   ake                                                         ow
                             ami qu                                                          D
                        tsun                                                                                             Pacific Plate
                 Slow

                                                                                                             Normal rupture, short-period
                                                                                                             seismic waves
   Aseismic                                                                                                  Slow rupture, low-frequency
                                                                                                             seismic waves
       Conditionally
                                                   Seismic                     c                             Stable sliding
       stable
                                                                                   Tohoku-oki
                                                                                            2011
  Figure 2. A frictionally complex fault. (a) The megathrust off the
  coast of Japan comprises regions that slip seismically, regions that slip
  aseismically, slow-rupturing regions that experience large slip at shal-
  low depths generating tsunami earthquakes, and conditionally stable                                                    Pacific Plate
  regions that slip aseismically unless adjacent slips drive them to slide
  seismically. (b) Cross-sectional schematic of the Sanriku-oki region shows that
  the great 1896 and 1933 earthquakes ruptured at shallow depths, but the
  deeper part of the megathrust appears to be aseismic. (c) By contrast, the en-
  tire megathrust in the Tohoku-oki region failed—both shallow “up-dip” and
  deeper “down-dip” parts of the cross section. The faster-sliding down-dip rup-
  ture generated high levels of short-period radiation, while the slower-sliding
  up-dip rupture generated low levels of short-period radiation.


earthquake, which produced a large tsunami inun-             for more than a millennium without rupturing, sud-
dation along the coast near Sendai. Even given               denly overcame frictional resistance on 11 March
Japan’s exceptionally long historical record of earth-       2011. Given a few more years of offshore strain
quakes, researchers’ evaluations of the region’s             measurements before the earthquake struck, it is
earthquake potential are complicated by the range            likely that the potential for so great an event would
of sliding behavior along the megathrust and the             have been clearer.
wide spans of time—from a few years to many cen-
turies—for distinct parts of it to repeatedly slip. The      Making waves
rupture of the 2011 earthquake involved many of              Abrupt sliding of the strongly locked region of the
those parts failing in a cascade that had not been an-       megathrust released elastic strain energy from the
ticipated in any of the seismic hazard models for the        rock, which drove the rupture, heated the fault,
region.                                                      and generated both seismic waves and permanent
     Over the 15 years prior to 2011, a network of           deformation in the rock around the fault. As the
GPS stations (now numbering more than 1200)                  fault slipped, elastic compressional and transverse
across Japan detected a gradient of westward dis-            seismic waves—known as P and S waves, respec-
placements decreasing from east to west across the           tively—spread outward in all directions. Rebound
island of Honshu. Several groups had modeled that            of the elastic deformation of the rock, in turn, shifted
compressional crustal strain by assuming that the            the Japan mainland eastward and uplifted the ocean
offshore plate-boundary fault was locked, unable to          floor. The many gigatons of displaced ocean water
slip to varying degrees as the plates converged, as          generated tsunami waves, and the seismic and
suggested in figure 3. Although the offshore region          tsunami-wave energy coupled to the atmosphere to
to the north experienced little of that locking, the         produce yet more waves, all spreading from the
deeper portion of the megathrust where the 2011              source with different velocities. The entire Earth
event subsequently occurred was found to be not              system was perturbed by the energy release, and the
slipping at all. Even so, most studies assumed that          total mass redistribution reduced the length of an
the “up-dip” part of the fault—that is, the shallow          Earth day by about 1.8 microseconds. (For a primer
part of it—was not accumulating strain.6                     on the physics behind the processes, see the essay
     In recent years new technologies have emerged           by David Stevenson in PHYSICS TODAY, June 2005,
for tracking ground positions offshore using ocean-          page 10.)
bottom GPS sensors, and data were beginning to                    Seismic waves shook the ground in Japan with
demonstrate that the up-dip part of the megathrust           a high frequency of about 10 Hz, ground accelera-
was accumulating strain. Indeed, that surprisingly           tions as large as 2.7 g, and peak ground velocities of
strong part of the fault, which had loaded up strain         80 cm/s across Honshu. At the Fukushima nuclear

www.physicstoday.org                                                                             December 2011          Physics Today       35
Japan earthquake

                                                                                warning within three minutes from the start of the
               0°                5°               0°       Figure 3. The        rupture (see box 2). Numerous gauges and tide me-




                        40




                                         45
      35
            13                13               14




                         °




                                          °
        °
                                                           degree to which      ters measured the tsunami as it approached and
                                                         ° the plates were      rushed over the coast. And though some sensors
                                                       5
                                                    14 locked together          were driven off-scale, several complete recordings
                                                           along the            document the wave, exemplified in figure 4a.




                                                       45
                                                           megathrust                A narrow pulse-like waveform is apparent in




                                                       °
                                                           faults around        the wave recorded off the coast of Iwate Prefecture
  Coupling fraction                                      °                      (Sanriku), where run-up was greatest. That peak ar-
                                                    1 50 Japan before the
                                                           2011 earthquake      rived about 20 minutes after the faulting began, con-
   −1    0    1
                                                           is inferred from     sistent with the sea-floor uplift in a narrow zone
 GPS measurements of crustal strain: Dark red areas indicate plates stuck       near the Japan trench. Tsunamis travel slowly in
 together, and dark blue areas indicate regions of the megathrust where         shallow coastal water, and many people were able
 the plates were sliding past each other aseismically. Latitude and longi-      to reach high ground in time to escape the flooding.
 tude are also indicated. (Adapted from ref. 6.)                                     The tsunami spread seaward as well.9 As waves
                                                                                spread through the northern Pacific, their 20-minute
                                                                                period and meter-high amplitudes were recorded
                    power station, the shaking rose 20% higher than the         by numerous Deep-Ocean Assessment and Report-
                    0.45-g level the station was designed to tolerate, but      ing of Tsunamis buoys operated by the US National
                    because of the subsequent explosions at the facility        Oceanic and Atmospheric Administration. NOAA
                    it is unclear how much damage was inflicted from            analyzed those signals quickly enough to accurately
                    the shaking. Despite the strong shaking along the           predict the waves’ arrival times and amplitudes at
                    coast, many structures had only moderate or light           Pacific island coastlines. Greatly expanded since
                    damage, a testament to Japan’s effective building           2004, the buoy system worked superbly, and the
                    codes and construction standards.                           deepwater signals have been incorporated into
                          Several thousand seismometers in Japan’s net-         studies of the rupture process.1,3
                    works of short-period and broadband seismic sta-                 The tsunami struck Hawaii about 7 hours after
                    tions recorded the ground vibrations, and continu-          the earthquake—and the coast of California 3 hours
                    ously recording GPS stations made 1200 additional           later still—with enough force to damage harbors,
                    measurements of the transient and static ground mo-         marinas, and coastal resorts. The Philippines,
                    tions.1,7 The seismic waves propagated through Earth        Indonesia, and New Guinea suffered significantly.
                    and were captured by some 1300 broadband global             And minor damage occurred in Peru and Chile
                    seismometers, many of which transmitted the data in         when the wave struck their coastlines 20 to 22 hours
                    near-real time to collection centers; the immediate         after the event.
                    availability of data facilitated rapid analysis of the           The combined motions in the rocks and ocean
                    signals by seismologists around the world.1,5,8             produced atmospheric waves, which extended the
                          The local recordings in Japan formed the basis        reach of the great earthquake to a planetary scale.
                    for the Japan Meteorological Agency’s tsunami               Those waves became amplified with altitude as
                                                                                atmospheric density decreased and created large
                                                                                perturbations in the ionosphere. The coupling of
                    Box 1. Moment magnitude                                     Earth’s solid, liquid, and gaseous layers is generally
                    There are many measures of earthquake size, but             well understood, and the atmospheric waves were
                    overall faulting significance is best captured by seis-     widely recorded by barometric pressure sensors at
                    mic moment, Mo = μAD, where μ is the shear rigidity of      the surface. GPS stations around Japan sensed the
                    rock around the fault, A is the total rupture area that     ionospheric perturbations due to their effects on
                    slides, and D is average slip—that is, the displacement     the transmission of satellite radio signals.10 The
                    of one side of the fault relative to the other. Expressed   ionospheric disturbance involved fluctuating elec-
                    in Newton meters, the seismic moment directly deter-        tron density up to altitudes of 350 km caused by
                    mines the strength of low-frequency seismic waves           atmospheric waves expanding from the source at
                                                                                720–800 km/hr.
                    generated by an earthquake. The moment magni-
                                                                                     The main shock of the Tohoku-oki earthquake
                    tude, Mw = (log  Mo − 9.1)/1.5, is now a widely used
                                                                                produced extensive aftershock activity in both the
                    magnitude measure based on the seismic moment,
                                                                                upper and lower plates and in regions of the
                    which is accurately measured by modeling low-
                                                                                megathrust laterally adjacent to the main rupture
                    frequency seismic recordings during an event. The
                                                                                zone. Within 24 hours hundreds of aftershocks had
                    seismic moment increases by a factor of about 31.6
                                                                                occurred over an area 500 km long and 300 km wide.
                    for each unit increase in Mw . The largest recorded         Many resulted from extensional faulting in the
                    earthquake in history was the 1960 Chile earthquake         upper plate, indicative of the large strain relaxation
                    with Mw = 9.5. The 2011 Tohoku-oki earthquake was           that occurred when the fault slipped.
                    found to have a seismic moment of 2.9 × 1022 Nm,                 Many minor faults within Japan’s crust were
                    which gives Mw = 9.0, somewhat lower than the 1964          activated by the change in stress from the main
                    Alaska (Mw 9.2) and 2004 Sumatra–Andaman (Mw 9.2)           event.11 Extensive regions of the upper 100 m of
                    earthquakes, ranking it the fourth largest event since      Japan’s crust experienced ephemeral reductions in
                    the era of seismological recordings began in the early      seismic shear velocity, likely as a result of shaking-
                    1900s.                                                      induced cracking and the movement of ground-

36   December 2011        Physics Today                                                                       www.physicstoday.org
water.12 Ongoing research is quantifying the broad        a
reach of the stress perturbations from the great                                           5.0
event.                                                                                                                                      North Iwate
                                                                                           2.5




                                                           SEA-LEVEL VARIATION (meters)
Rupture physics
                                                                                           0.0
Armed with extensive geophysical recordings of
ground, ocean, and atmosphere before, during, and                                         −2.5
after the 2011 earthquake, researchers can study its
rupture physics closely. Although reports of possi-                                       −5.0
ble precursory phenomena exist—for instance, IR
heating of the atmosphere above the source region                                          7.5
several days before the event and anomalous total-                                         5.0                                              South Iwate
electron readings of the ionosphere preceding the                                          2.5
earthquake—no clear deformational precursor has                                            0.0
emerged from analyses of the geodetic and seismic
                                                                                          −2.5
data sets.
      There were earthquakes, now identified as                                           −5.0
foreshocks, for several days before the main shock;                                       −7.5
the largest was an Mw 7.5 on 9 March 2011. Their im-                                             0                1                     2                       3
                                                                                                                       TIME (hours)
portance as harbingers is again unclear, but they         b
were clustered near the point of initiation of the
main shock and plausibly represent accelerating de-
formation in that region. The weak initial onset of
the rupture raises many questions about how it
grew so huge.
      According to analyses of the data, the main
rupture spread on the fault with relatively low ex-
pansion velocity of about 1 km/s, initially expand-
ing for about 50 s “down-dip”—that is, deep within
the fault—toward the coast near Sendai, where nu-
merous large earthquakes have occurred this past
century and earlier, as outlined in light blue in
figure 1a. The rupture then expanded into shallower                                              0.0    0.2        0.4     0.6        0.8                 1.0
depths for the next 40 s, with the largest slip along                                                         TSUNAMI HEIGHT (meters)
the fault occurring more than 150 km offshore, close
to the trench. That part of the rupture, in turn, was                                      Figure 4. Several tsunami gauges just off Japan’s Pacific
followed by additional sliding down-dip that mi-                                           coastline record sea-level variations. (a) Measurements from
grated southward along the coastline at about                                              GPS gauges offshore north and south Iwate in the Sanriku
2.5 km/s.                                                                                  region show the waveform as the tsunami reached each station
      The slip near the trench was enormous; it aver-                                      20–30 minutes after the earthquake struck. The narrow, large-
aged about 40 m over the upper 100 km of the                                               amplitude peak at each station originated near the Japan
megathrust and peaked at 60–80 m close to the                                              trench and produced up to 40-m run-up heights along the
trench.1,5,13 Those are the largest fault displacements                                    coastline. (b) The tsunami also spread out to sea, its peak ampli-
documented for any earthquake in history. Using                                            tude gradually diminishing across the deep Pacific Ocean, as
elastic dislocation theory to predict the sea-floor up-                                    calculated for a faulting model derived from seismic waves.
lift, one can accurately account for the size of the                                       (This issue’s cover shows similar calculated tsunami amplitudes
tsunami from geophysical fault models. But ongo-                                           from modeling buoy data.) The tsunami reached California
ing research is evaluating whether any nonelastic                                          about 10 hours after the earthquake. (Adapted from ref. 9.)
deformations, such as submarine landslides, were
also involved.
      Researchers estimate a stress drop of 15–           Honshu, preferentially emanated from the deeper
30 MPa in that large-slip region, significantly           half of the megathrust, where total slip was much
greater than the few-MPa stress drops typically           smaller than in the upper part of it.1,5 In that respect,
found for large interplate ruptures. Seismic imaging      the shallow rupture in the 2011 earthquake behaved
of rock around the shallow fault zone reveals rela-       much like the shallow tsunami earthquake of 1896.
tively high P-wave velocities and some seaward            But the huge shallow slip, 50–90 s after the earth-
arching of the upper plate toward the trench. Those       quake began, appears to have driven the central,
data suggest the presence of hard, strong, and brittle    deep portion of the fault to rerupture and slip along
rock around the fault, at odds with conventional be-      adjacent regions of conditional stability, which ac-
lief that the shallowest regions of subduction zones      centuated the total size and energy.
are weak and deform mainly anelastically.14                    Thus the 2011 earthquake was essentially a
      The dense seismic observations of the Earth-        composite event, as discussed earlier, with attrib-
Scope Transportable Array in North America reveal         utes of a tsunami earthquake for the shallow portion
that strong coherent bursts of short-period radia-        of the rupture and attributes of a typical megathrust
tion, which likely produced the violent shaking in        earthquake in the deeper portion of it. The great

www.physicstoday.org                                                                                                   December 2011        Physics Today           37
Japan earthquake


                                                                                                              Figure 5. Seismic moment rate functions (MRFs),
                                                                                                              plotted for several great earthquakes. MRF measures
                                                                                                              the time rate of change in seismic moment—the
                                                                                                              product of the surrounding rock’s rigidity, the fault
     SEISMIC MOMENT RATE (×1020 Nm/sec)




                                          10
                                                                                                              area, and the slip—and is roughly proportional to
                                                                      2011 Tohoku-oki (Mw 9.0)                the rate of energy radiation. The large, smooth, and
                                           8                          1964 Alaska (Mw 9.2)                    narrow MRF for the Tohoku-oki earthquake reflects
                                                                      2004 Sumatra–Andaman (Mw 9.2)           the unusually large slip that occurred over a small
                                                                      2010 Chile (Mw 8.8)                     localized region. The Sumatra–Andaman earthquake,
                                                                      2003 Hokkaidō (Mw 8.3)                  by contrast, occurred for a much longer duration,
                                           6
                                                                                                              and its extended MRF reflects the spatially separated
                                                                                                              slip patches along the Sumatra, Nicobar, and
                                           4                                                                  Andaman islands. The MRF of the Alaska earthquake
                                                                                                              has a character between those extremes. The Chile
                                                                                                              earthquake lasted nearly as long as the Tohoku-oki
                                           2                                                                  event, but with much smaller peak MRF and possibly
                                                                                                              shorter-period fluctuations, which suggest different
                                                                                                              frictional characteristics between the regions’ faults.
                                           0                                                                  Finally, the far smaller MRF of the Hokkaidō earth-
                                               0   100      200     300     400       500              600
                                                    TIME FROM START OF RUPTURE (seconds)                      quake illustrates the vast differences in radiated en-
                                                                                                              ergy and tsunami hazard that distinguish Mw 8 and 9
                                                                                                              earthquakes.



                                                    2004 Sumatra rupture was similarly enhanced by            leased a larger peak energy per unit time than any
                                                    extending over multiple subregions. The behavior          earthquake ever recorded.
                                                    points to a weakness of the “characteristic earth-
                                                    quake” model often used for probabilistic seismic         Lessons learned
                                                    hazard assessment.                                        Earth has experienced a high rate of great earth-
                                                         The seismic moment estimated for the main            quakes during the past decade—about 2.5 times the
                                                    shock is Mo = 2.9 × 1022 Nm, and the total radiated       average rate for the past century.15 Fortunately, the
                                                    energy release is 4.2 × 1017 J. But the most robust as-   expansion and improvement of geophysical record-
                                                    pect of the earthquake determined from seismology         ings enable geoscientists to learn from each one. The
                                                    is the moment rate function, which characterizes the      11 March 2011 Tohoku-oki earthquake demon-
                                                    source strength for seismic wave motions generated        strated that shallow portions of megathrust faults
                                                    during the faulting. The comparison in figure 5 of        can support higher stresses and accumulate larger
                                                    the moment rate function from Tohoku-oki with             strains than conventional wisdom had suggested.
                                                    that of other 20th-century great earthquakes reveals      Thus tsunami earthquakes, or composite events like
                                                    the 2011 event’s distinctly high peak and short           the recent one in Japan, may occur more broadly
                                                    duration. Indeed, by that measure, Tohoku-oki re-         than researchers had thought.


Box 2. Tsunami and earthquake warning
In recent years the Japan Meteorological Agency (JMA) has                                           faulting geometry within minutes of its occurrence; unfortu-
made significant improvements to its tsunami warning system.                                        nately, those methods had not yet been implemented in Japan’s
On the basis of its preliminary seismic magnitude estimate, 7.9,                                    operational system.
JMA issued a warning just 2  minutes and 40  seconds after the                                         The JMA also operates an earthquake early warning system.
Tohoku-oki earthquake began. The agency warned that 6-m,                                            Earthquake warning is more challenging than tsunami warning
3-m, and 3-m tsunamis could be expected along the coast                                             as it relies on the initial seismic vibrations to gauge the likely
of Miyagi, Iwate, and Fukushima prefectures, respectively.                                          level of ensuing shaking. But the initial 5–10 seconds of shaking
Undoubtedly, that saved thousands of lives because the largest                                      produced by the Tohoku-oki earthquake was weak, comparable
tsunami did not reach the coast until about 20 minutes after the                                    to a magnitude 4.9 event, and the JMA’s earthquake early warn-
earthquake began.                                                                                   ing system underestimated the expected overall intensity. Nev-
   However, some reports indicate that many people did not                                          ertheless, the information was useful for some. It wasn’t the only
take immediate action out of a belief that the extensive network                                    early warning system available. The Japanese bullet train net-
of tsunami walls would protect them. Given a more accurate                                          work, for instance, had its own warning system. More than 20
early estimate of the true enormity of the event, Mw = 9, the JMA                                   bullet trains were running at high speed in the Tohoku district
would have been able to issue a warning that might have                                             when the earthquake struck. But within a few seconds of detect-
prompted more extensive evacuations. Methods have been                                              ing the primary seismic wave, the warning system shut down the
developed to correctly assess an earthquake’s magnitude and                                         power and stopped all the trains without incident.


38                                  December 2011         Physics Today                                                                       www.physicstoday.org
Moreover, the accumulating examples of
tsunami events—documented in the Aleutian Is-
lands, Peru, Sumatra, Java, the Kuril Islands, and
now Japan—are persuasive evidence that even rel-
atively long seismological records are too limited to
adequately assess the hazard from infrequent but
devastating events. Fortunately, the great progress
in geodesy to map out regions of strain accumula-
tion near subduction zones makes it a major new
tool for evaluating seismic potential. But clearly,
more off-shore geodetic measurements will be par-
ticularly valuable. In any case, the continued inves-
tigation of many regions is perhaps the best strategy
for coping with a limited historical record.
     The complex variations of slip behavior on the
Japan megathrust highlight our ignorance of what
controls fault behavior. How pressure, temperature,
fluids, rock composition, and other factors influence
the variations in slip rates and seismic radiation
over a fault remains to be quantified. Progress re-
quires dense onshore and offshore data collection
and concerted investigation of regions of concern
such as along the Cascadia margin off the coast of
Oregon and Washington where a major research
effort is under way.
     The Tohoku-oki event confirmed the value of
applying modern technologies to earthquake and
tsunami mitigation efforts. Strain-accumulation
measurements, offshore fault-zone observations, and
early earthquake and tsunami warning systems all
played a role in saving lives, as terrible as the event
was. Extreme events can and do happen, and re-
sources may be too limited to fully protect ourselves.
Our best prospect for coping with those events’ ef-
fects, however, is to draw on our technologies, prepa-




                                                                 search
rations, and ability to respond when Earth delivers
the unexpected, as it did on 11 March 2011.

We thank many colleagues who have shared information




                                                                 SMARTER
about the great Tohoku-oki earthquake summarized here and
thank NSF for supporting research on this event with grant
EAR0635570.

References
 1. H. Kanamori, K. Yomogida, eds., Special issue: “First
    Results of the 2011 Off the Pacific Coast of Tohoku
    Earthquake,” Earth Planets Space 63, 511 (2011).
 2. K. D. Koper et al., Earth Planets Space 63, 599 (2011).      Find the supplies and services
 3. Japan Society of Civil Engineers Tohoku Earth-               you need using a network that
    quake Tsunami Information, http://www.coastal.jp/            physicists trust —
    tsunami2011/index.php.
 4. M. Sato et al., Science 332, 1395 (2011).
 5. M. Simons et al., Science 332, 1421 (2011).
 6. J. P. Loveless, B. J. Meade, J. Geophys. Res. 115, B02410
    (2010).
 7. S. Ozawa et al., Nature 475, 373 (2011).
 8. S. Ide, A. Baltay, G. C. Beroza, Science 332, 1426 (2011).
 9. Y. Yamazaki et al., Proceedings of Oceans ’11 MTS/IEEE
                                                                 Start your search today at:
    Kona, IEEE, Piscataway, NJ (in press).                       physicstodaybuyersguide.com
10. A. Saito et al., Earth Planets Space 63, 863 (2011).
11. S. Toda, R. S. Stein, J. Lin, Geophys. Res. Lett. 38,
    L00G03 (2011).
12. N. Nakata, R. Snieder, Geophys. Res. Lett. 38, L17302
    (2011).
13. H. Yue, T. Lay, Geophys. Res. Lett. 38, L00G09 (2011).
14. D. Zhao et al., Geophys. Res. Lett. 38, L17308 (2011).
15. C. J. Ammon, T. Lay, D. W. Simpson, Seismol. Res. Lett.
    81 (1), 965 (2010).                                     ■

               December 2011          Physics Today       39

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Insights from the great 2011 Japan earthquake - December 2011

  • 1. Insights from the great 2011 Japan earthquake Thorne Lay and Hiroo Kanamori The diverse set of waves generated in Earth’s interior, oceans, and atmosphere during the devastating Tohoku-oki earthquake reveal some extraordinary geophysics. O n 11 March 2011, the nation of Japan measure of radiated seismic energy, see box 1.) The and geophysicists around the world huge event abruptly released elastic strain energy received a terrible surprise: A huge that had accumulated in the rocks on either side of earthquake, significantly stronger the shallow-dipping plate boundary—the mega- than people had anticipated or pre- thrust fault—for more than a millennium since the pared for in the region, struck off the northeastern last great earthquake in the central part of the shore of Honshu. Shear sliding on the fault where megathrust, which occurred in 869 with Mw ≥ 8.3. the Pacific Plate thrusts below Japan lasted for (Another large earthquake occurred in 1611 near the 150 anxiety-filled seconds, shifted the coast of Japan northern part of the 2011 rupture zone, but its de- up to 5 m eastward, and lifted the sea floor by as tails are murky and still debated.) much as 5 m over 15 000 km2, an area comparable to The strain release generated seismic, tsunami, the state of Connecticut.1,2 Displacements as large as and atmospheric waves that spread through Earth. 60 to 80 m—the largest ever measured for an earth- Those wave phenomena were captured by thou- quake—occurred near the subduction trench, and a sands of geophysical facilities worldwide, including total strain energy equivalent to a 100-megaton ex- dense Japanese networks of seismic and GPS sta- plosion was released during the sliding. This was the tions deployed after the devastating 1995 Kobe great 2011 Tohoku-oki earthquake, so-named for the earthquake, and by the large numbers of tsunami region it struck, shown in figure 1. gauges and deepwater pressure sensors deployed The sudden sea-floor displacement generated a near Japan and across the Pacific Ocean following massive tsunami that swept onto hundreds of kilo- the Sumatra–Andaman earthquake and tsunami meters of coastline along the islands of Honshu and in December 2004 (see PHYSICS TODAY, June 2005, Hokkaidō. Tsunami waves 3–15 m high overtopped page 19). Combined with extensive recordings from harbor-protecting tsunami walls and coastal mar- global seismic networks, the data from those sta- gins and penetrated as far as 10 km inland along the tions, gauges, and sensors make the 2011 Tohoku- coastal plain.3 The flood destroyed many small oki event the best-recorded earthquake and tsunami towns and villages, killed some 20 000 people, and in history.1,4 initially displaced nearly half a million; six months later, tens of thousands were still living in high Plate-boundary physics school gymnasiums and other temporary quarters Great earthquakes are those whose moment magni- (see PHYSICS TODAY, November 2011, page 20). The tudes are 8.0 or higher. Their activity varies signifi- high waves also disrupted the power supply needed cantly between different subduction zones. Some to maintain water circulation for cooling the reac- subduction zones—for example, ones in southern tors at the Fukushima nuclear power plant, which Chile, Sumatra, and southwestern Japan—produce precipitated a catastrophic release of radiation that repeated, great-earthquake ruptures every century continues to plague central Japan. or two, while others—in the Mariana Islands and Located along the Pacific Ring of Fire, Japan has Tonga, say—produce them rarely, if ever. experienced a long history of earthquakes, but the Tohoku-oki quake was a rare giant with no instru- Thorne Lay and Hiroo Kanamori are seismologists at the University of mentally recorded precedent. Researchers estimate California, Santa Cruz, and the California Institute of Technology in Pasadena, its moment magnitude Mw at 9.0. (To appreciate that respectively. www.physicstoday.org December 2011 Physics Today 33
  • 2. Japan earthquake a b c 46 46 Height of tsunami wall at Fukushima plant nch 100 km 41 44 44 Tre Run-up Hokkaidō Hokkaidō Inundation an Jap 42 42 LATITUDE 40 Sanriku region Sanriku 40 40 Honshu 1896 39 Honshu 1933 38 38 Fukushima Sendai Pacific Plate 36 36 LATITUDE 38 Fukushima 869 34 34 140 142 144 146 0 10 20 30 40 LONGITUDE HEIGHT (m) 37 Figure 1. (a) The red star marks the epicenter of the 11 March 2011 Tohoku-oki earthquake, which occurred across the fault where the Pacific Plate subducts under Japan. (Arrows indicate the plate’s direction of motion.) 36 The pink and pale green patches delimit portions of the fault that ruptured with distinct frictional characteristics 2011 Modest slip, strong during the 150-s earthquake, and the red dots delimit the short-period radiation one-day aftershock region. Light blue dots encircle rupture 35 2011 Large slip, weak zones of historic large earthquakes, and the purple dots short-period radiation, encircle the approximate source of a large tsunami in 869. strong tsunami generation (Adapted from ref. 2.) (b) A map of the Honshu and Hokkaidō islands and (c) the relative locations and heights 34 of the 2011 tsunami inundation (red, the maximum flood 139 140 141 142 143 144 145 146 level reached) and the tsunami run-up (blue, the maximum LONGITUDE elevation reached). (Adapted from ref. 3.) That variability is attributable to differences in the seismic patches alone. An example of such plate-boundary frictional characteristics, illustrated behavior has been observed for a great earthquake in figure 2. Dark patches represent seismic portions that occurred along the Ecuador–Colombia coast of the fault surface where the slip generates earth- in 1906. quakes, and white patches represent areas where The Tohoku-oki subduction zone is thought to the slip is primarily aseismic—slowly sliding with- comprise a mixture of such seismic and aseismic out earthquakes. At shallow depths, the seismic patches and a concomitant mix of frictional charac- patches can rupture as tsunami earthquakes—a teristics that can lead to an unusual diversity of rup- name reserved for large, tsunami-generating events ture patterns. Subregions slide aseismically around that, because of unusually low rupture-expansion localized patches that fail repeatedly in a number of rates, occur without generating strong, short-period ways—as frequent small earthquakes; as moderate- seismic waves. Conditionally stable regions nor- sized earthquakes accompanied by large amounts mally slip continuously but can also slip seismically of slow, postseismic slip of a few centimeters per when loaded abruptly during the failure of neigh- day instead of the typical kilometers-per-second boring seismic patches. rate of an earthquake rupture; or as shallow tsunami The ratio of the area of seismic patches to the earthquakes.1,5 total area of the fault is large for subduction zones The shallow portion of the megathrust just with frequent great earthquakes and small for zones north of the 2011 earthquake zone and illustrated in with infrequent great earthquakes. Depending on figures 1a and 2b ruptured during the great 1896 how regions of the megathrust with different rup- (Mw about 8.2) tsunami earthquake. The Pacific ture characteristics fail, though, diverse earthquake Plate in that region also experienced an internal rup- sequences are possible. A failure of one seismic ture in 1933 from extension near the Japan trench. patch may produce a single, large earthquake. But Similarly large megathrust earthquakes within the when two or more patches fail in a cascade that also 2011 rupture zone during the past century all oc- prompts conditionally stable regions between them curred near the coast, but the region farther offshore to slip seismically, the result is a much larger earth- where large slip occurred in the 2011 event was quake than one would otherwise expect from just known to have previously ruptured only in the 869 34 December 2011 Physics Today www.physicstoday.org
  • 3. a b Sanriku-oki 1933 1896 tsunami earthquake ip p-d JAPA N p U di n- ake ow ami qu D tsun Pacific Plate Slow Normal rupture, short-period seismic waves Aseismic Slow rupture, low-frequency seismic waves Conditionally Seismic c Stable sliding stable Tohoku-oki 2011 Figure 2. A frictionally complex fault. (a) The megathrust off the coast of Japan comprises regions that slip seismically, regions that slip aseismically, slow-rupturing regions that experience large slip at shal- low depths generating tsunami earthquakes, and conditionally stable Pacific Plate regions that slip aseismically unless adjacent slips drive them to slide seismically. (b) Cross-sectional schematic of the Sanriku-oki region shows that the great 1896 and 1933 earthquakes ruptured at shallow depths, but the deeper part of the megathrust appears to be aseismic. (c) By contrast, the en- tire megathrust in the Tohoku-oki region failed—both shallow “up-dip” and deeper “down-dip” parts of the cross section. The faster-sliding down-dip rup- ture generated high levels of short-period radiation, while the slower-sliding up-dip rupture generated low levels of short-period radiation. earthquake, which produced a large tsunami inun- for more than a millennium without rupturing, sud- dation along the coast near Sendai. Even given denly overcame frictional resistance on 11 March Japan’s exceptionally long historical record of earth- 2011. Given a few more years of offshore strain quakes, researchers’ evaluations of the region’s measurements before the earthquake struck, it is earthquake potential are complicated by the range likely that the potential for so great an event would of sliding behavior along the megathrust and the have been clearer. wide spans of time—from a few years to many cen- turies—for distinct parts of it to repeatedly slip. The Making waves rupture of the 2011 earthquake involved many of Abrupt sliding of the strongly locked region of the those parts failing in a cascade that had not been an- megathrust released elastic strain energy from the ticipated in any of the seismic hazard models for the rock, which drove the rupture, heated the fault, region. and generated both seismic waves and permanent Over the 15 years prior to 2011, a network of deformation in the rock around the fault. As the GPS stations (now numbering more than 1200) fault slipped, elastic compressional and transverse across Japan detected a gradient of westward dis- seismic waves—known as P and S waves, respec- placements decreasing from east to west across the tively—spread outward in all directions. Rebound island of Honshu. Several groups had modeled that of the elastic deformation of the rock, in turn, shifted compressional crustal strain by assuming that the the Japan mainland eastward and uplifted the ocean offshore plate-boundary fault was locked, unable to floor. The many gigatons of displaced ocean water slip to varying degrees as the plates converged, as generated tsunami waves, and the seismic and suggested in figure 3. Although the offshore region tsunami-wave energy coupled to the atmosphere to to the north experienced little of that locking, the produce yet more waves, all spreading from the deeper portion of the megathrust where the 2011 source with different velocities. The entire Earth event subsequently occurred was found to be not system was perturbed by the energy release, and the slipping at all. Even so, most studies assumed that total mass redistribution reduced the length of an the “up-dip” part of the fault—that is, the shallow Earth day by about 1.8 microseconds. (For a primer part of it—was not accumulating strain.6 on the physics behind the processes, see the essay In recent years new technologies have emerged by David Stevenson in PHYSICS TODAY, June 2005, for tracking ground positions offshore using ocean- page 10.) bottom GPS sensors, and data were beginning to Seismic waves shook the ground in Japan with demonstrate that the up-dip part of the megathrust a high frequency of about 10 Hz, ground accelera- was accumulating strain. Indeed, that surprisingly tions as large as 2.7 g, and peak ground velocities of strong part of the fault, which had loaded up strain 80 cm/s across Honshu. At the Fukushima nuclear www.physicstoday.org December 2011 Physics Today 35
  • 4. Japan earthquake warning within three minutes from the start of the 0° 5° 0° Figure 3. The rupture (see box 2). Numerous gauges and tide me- 40 45 35 13 13 14 ° ° ° degree to which ters measured the tsunami as it approached and ° the plates were rushed over the coast. And though some sensors 5 14 locked together were driven off-scale, several complete recordings along the document the wave, exemplified in figure 4a. 45 megathrust A narrow pulse-like waveform is apparent in ° faults around the wave recorded off the coast of Iwate Prefecture Coupling fraction ° (Sanriku), where run-up was greatest. That peak ar- 1 50 Japan before the 2011 earthquake rived about 20 minutes after the faulting began, con- −1 0 1 is inferred from sistent with the sea-floor uplift in a narrow zone GPS measurements of crustal strain: Dark red areas indicate plates stuck near the Japan trench. Tsunamis travel slowly in together, and dark blue areas indicate regions of the megathrust where shallow coastal water, and many people were able the plates were sliding past each other aseismically. Latitude and longi- to reach high ground in time to escape the flooding. tude are also indicated. (Adapted from ref. 6.) The tsunami spread seaward as well.9 As waves spread through the northern Pacific, their 20-minute period and meter-high amplitudes were recorded power station, the shaking rose 20% higher than the by numerous Deep-Ocean Assessment and Report- 0.45-g level the station was designed to tolerate, but ing of Tsunamis buoys operated by the US National because of the subsequent explosions at the facility Oceanic and Atmospheric Administration. NOAA it is unclear how much damage was inflicted from analyzed those signals quickly enough to accurately the shaking. Despite the strong shaking along the predict the waves’ arrival times and amplitudes at coast, many structures had only moderate or light Pacific island coastlines. Greatly expanded since damage, a testament to Japan’s effective building 2004, the buoy system worked superbly, and the codes and construction standards. deepwater signals have been incorporated into Several thousand seismometers in Japan’s net- studies of the rupture process.1,3 works of short-period and broadband seismic sta- The tsunami struck Hawaii about 7 hours after tions recorded the ground vibrations, and continu- the earthquake—and the coast of California 3 hours ously recording GPS stations made 1200 additional later still—with enough force to damage harbors, measurements of the transient and static ground mo- marinas, and coastal resorts. The Philippines, tions.1,7 The seismic waves propagated through Earth Indonesia, and New Guinea suffered significantly. and were captured by some 1300 broadband global And minor damage occurred in Peru and Chile seismometers, many of which transmitted the data in when the wave struck their coastlines 20 to 22 hours near-real time to collection centers; the immediate after the event. availability of data facilitated rapid analysis of the The combined motions in the rocks and ocean signals by seismologists around the world.1,5,8 produced atmospheric waves, which extended the The local recordings in Japan formed the basis reach of the great earthquake to a planetary scale. for the Japan Meteorological Agency’s tsunami Those waves became amplified with altitude as atmospheric density decreased and created large perturbations in the ionosphere. The coupling of Box 1. Moment magnitude Earth’s solid, liquid, and gaseous layers is generally There are many measures of earthquake size, but well understood, and the atmospheric waves were overall faulting significance is best captured by seis- widely recorded by barometric pressure sensors at mic moment, Mo = μAD, where μ is the shear rigidity of the surface. GPS stations around Japan sensed the rock around the fault, A is the total rupture area that ionospheric perturbations due to their effects on slides, and D is average slip—that is, the displacement the transmission of satellite radio signals.10 The of one side of the fault relative to the other. Expressed ionospheric disturbance involved fluctuating elec- in Newton meters, the seismic moment directly deter- tron density up to altitudes of 350 km caused by mines the strength of low-frequency seismic waves atmospheric waves expanding from the source at 720–800 km/hr. generated by an earthquake. The moment magni- The main shock of the Tohoku-oki earthquake tude, Mw = (log  Mo − 9.1)/1.5, is now a widely used produced extensive aftershock activity in both the magnitude measure based on the seismic moment, upper and lower plates and in regions of the which is accurately measured by modeling low- megathrust laterally adjacent to the main rupture frequency seismic recordings during an event. The zone. Within 24 hours hundreds of aftershocks had seismic moment increases by a factor of about 31.6 occurred over an area 500 km long and 300 km wide. for each unit increase in Mw . The largest recorded Many resulted from extensional faulting in the earthquake in history was the 1960 Chile earthquake upper plate, indicative of the large strain relaxation with Mw = 9.5. The 2011 Tohoku-oki earthquake was that occurred when the fault slipped. found to have a seismic moment of 2.9 × 1022 Nm, Many minor faults within Japan’s crust were which gives Mw = 9.0, somewhat lower than the 1964 activated by the change in stress from the main Alaska (Mw 9.2) and 2004 Sumatra–Andaman (Mw 9.2) event.11 Extensive regions of the upper 100 m of earthquakes, ranking it the fourth largest event since Japan’s crust experienced ephemeral reductions in the era of seismological recordings began in the early seismic shear velocity, likely as a result of shaking- 1900s. induced cracking and the movement of ground- 36 December 2011 Physics Today www.physicstoday.org
  • 5. water.12 Ongoing research is quantifying the broad a reach of the stress perturbations from the great 5.0 event. North Iwate 2.5 SEA-LEVEL VARIATION (meters) Rupture physics 0.0 Armed with extensive geophysical recordings of ground, ocean, and atmosphere before, during, and −2.5 after the 2011 earthquake, researchers can study its rupture physics closely. Although reports of possi- −5.0 ble precursory phenomena exist—for instance, IR heating of the atmosphere above the source region 7.5 several days before the event and anomalous total- 5.0 South Iwate electron readings of the ionosphere preceding the 2.5 earthquake—no clear deformational precursor has 0.0 emerged from analyses of the geodetic and seismic −2.5 data sets. There were earthquakes, now identified as −5.0 foreshocks, for several days before the main shock; −7.5 the largest was an Mw 7.5 on 9 March 2011. Their im- 0 1 2 3 TIME (hours) portance as harbingers is again unclear, but they b were clustered near the point of initiation of the main shock and plausibly represent accelerating de- formation in that region. The weak initial onset of the rupture raises many questions about how it grew so huge. According to analyses of the data, the main rupture spread on the fault with relatively low ex- pansion velocity of about 1 km/s, initially expand- ing for about 50 s “down-dip”—that is, deep within the fault—toward the coast near Sendai, where nu- merous large earthquakes have occurred this past century and earlier, as outlined in light blue in figure 1a. The rupture then expanded into shallower 0.0 0.2 0.4 0.6 0.8 1.0 depths for the next 40 s, with the largest slip along TSUNAMI HEIGHT (meters) the fault occurring more than 150 km offshore, close to the trench. That part of the rupture, in turn, was Figure 4. Several tsunami gauges just off Japan’s Pacific followed by additional sliding down-dip that mi- coastline record sea-level variations. (a) Measurements from grated southward along the coastline at about GPS gauges offshore north and south Iwate in the Sanriku 2.5 km/s. region show the waveform as the tsunami reached each station The slip near the trench was enormous; it aver- 20–30 minutes after the earthquake struck. The narrow, large- aged about 40 m over the upper 100 km of the amplitude peak at each station originated near the Japan megathrust and peaked at 60–80 m close to the trench and produced up to 40-m run-up heights along the trench.1,5,13 Those are the largest fault displacements coastline. (b) The tsunami also spread out to sea, its peak ampli- documented for any earthquake in history. Using tude gradually diminishing across the deep Pacific Ocean, as elastic dislocation theory to predict the sea-floor up- calculated for a faulting model derived from seismic waves. lift, one can accurately account for the size of the (This issue’s cover shows similar calculated tsunami amplitudes tsunami from geophysical fault models. But ongo- from modeling buoy data.) The tsunami reached California ing research is evaluating whether any nonelastic about 10 hours after the earthquake. (Adapted from ref. 9.) deformations, such as submarine landslides, were also involved. Researchers estimate a stress drop of 15– Honshu, preferentially emanated from the deeper 30 MPa in that large-slip region, significantly half of the megathrust, where total slip was much greater than the few-MPa stress drops typically smaller than in the upper part of it.1,5 In that respect, found for large interplate ruptures. Seismic imaging the shallow rupture in the 2011 earthquake behaved of rock around the shallow fault zone reveals rela- much like the shallow tsunami earthquake of 1896. tively high P-wave velocities and some seaward But the huge shallow slip, 50–90 s after the earth- arching of the upper plate toward the trench. Those quake began, appears to have driven the central, data suggest the presence of hard, strong, and brittle deep portion of the fault to rerupture and slip along rock around the fault, at odds with conventional be- adjacent regions of conditional stability, which ac- lief that the shallowest regions of subduction zones centuated the total size and energy. are weak and deform mainly anelastically.14 Thus the 2011 earthquake was essentially a The dense seismic observations of the Earth- composite event, as discussed earlier, with attrib- Scope Transportable Array in North America reveal utes of a tsunami earthquake for the shallow portion that strong coherent bursts of short-period radia- of the rupture and attributes of a typical megathrust tion, which likely produced the violent shaking in earthquake in the deeper portion of it. The great www.physicstoday.org December 2011 Physics Today 37
  • 6. Japan earthquake Figure 5. Seismic moment rate functions (MRFs), plotted for several great earthquakes. MRF measures the time rate of change in seismic moment—the product of the surrounding rock’s rigidity, the fault SEISMIC MOMENT RATE (×1020 Nm/sec) 10 area, and the slip—and is roughly proportional to 2011 Tohoku-oki (Mw 9.0) the rate of energy radiation. The large, smooth, and 8 1964 Alaska (Mw 9.2) narrow MRF for the Tohoku-oki earthquake reflects 2004 Sumatra–Andaman (Mw 9.2) the unusually large slip that occurred over a small 2010 Chile (Mw 8.8) localized region. The Sumatra–Andaman earthquake, 2003 Hokkaidō (Mw 8.3) by contrast, occurred for a much longer duration, 6 and its extended MRF reflects the spatially separated slip patches along the Sumatra, Nicobar, and 4 Andaman islands. The MRF of the Alaska earthquake has a character between those extremes. The Chile earthquake lasted nearly as long as the Tohoku-oki 2 event, but with much smaller peak MRF and possibly shorter-period fluctuations, which suggest different frictional characteristics between the regions’ faults. 0 Finally, the far smaller MRF of the Hokkaidō earth- 0 100 200 300 400 500 600 TIME FROM START OF RUPTURE (seconds) quake illustrates the vast differences in radiated en- ergy and tsunami hazard that distinguish Mw 8 and 9 earthquakes. 2004 Sumatra rupture was similarly enhanced by leased a larger peak energy per unit time than any extending over multiple subregions. The behavior earthquake ever recorded. points to a weakness of the “characteristic earth- quake” model often used for probabilistic seismic Lessons learned hazard assessment. Earth has experienced a high rate of great earth- The seismic moment estimated for the main quakes during the past decade—about 2.5 times the shock is Mo = 2.9 × 1022 Nm, and the total radiated average rate for the past century.15 Fortunately, the energy release is 4.2 × 1017 J. But the most robust as- expansion and improvement of geophysical record- pect of the earthquake determined from seismology ings enable geoscientists to learn from each one. The is the moment rate function, which characterizes the 11 March 2011 Tohoku-oki earthquake demon- source strength for seismic wave motions generated strated that shallow portions of megathrust faults during the faulting. The comparison in figure 5 of can support higher stresses and accumulate larger the moment rate function from Tohoku-oki with strains than conventional wisdom had suggested. that of other 20th-century great earthquakes reveals Thus tsunami earthquakes, or composite events like the 2011 event’s distinctly high peak and short the recent one in Japan, may occur more broadly duration. Indeed, by that measure, Tohoku-oki re- than researchers had thought. Box 2. Tsunami and earthquake warning In recent years the Japan Meteorological Agency (JMA) has faulting geometry within minutes of its occurrence; unfortu- made significant improvements to its tsunami warning system. nately, those methods had not yet been implemented in Japan’s On the basis of its preliminary seismic magnitude estimate, 7.9, operational system. JMA issued a warning just 2  minutes and 40  seconds after the The JMA also operates an earthquake early warning system. Tohoku-oki earthquake began. The agency warned that 6-m, Earthquake warning is more challenging than tsunami warning 3-m, and 3-m tsunamis could be expected along the coast as it relies on the initial seismic vibrations to gauge the likely of Miyagi, Iwate, and Fukushima prefectures, respectively. level of ensuing shaking. But the initial 5–10 seconds of shaking Undoubtedly, that saved thousands of lives because the largest produced by the Tohoku-oki earthquake was weak, comparable tsunami did not reach the coast until about 20 minutes after the to a magnitude 4.9 event, and the JMA’s earthquake early warn- earthquake began. ing system underestimated the expected overall intensity. Nev- However, some reports indicate that many people did not ertheless, the information was useful for some. It wasn’t the only take immediate action out of a belief that the extensive network early warning system available. The Japanese bullet train net- of tsunami walls would protect them. Given a more accurate work, for instance, had its own warning system. More than 20 early estimate of the true enormity of the event, Mw = 9, the JMA bullet trains were running at high speed in the Tohoku district would have been able to issue a warning that might have when the earthquake struck. But within a few seconds of detect- prompted more extensive evacuations. Methods have been ing the primary seismic wave, the warning system shut down the developed to correctly assess an earthquake’s magnitude and power and stopped all the trains without incident. 38 December 2011 Physics Today www.physicstoday.org
  • 7. Moreover, the accumulating examples of tsunami events—documented in the Aleutian Is- lands, Peru, Sumatra, Java, the Kuril Islands, and now Japan—are persuasive evidence that even rel- atively long seismological records are too limited to adequately assess the hazard from infrequent but devastating events. Fortunately, the great progress in geodesy to map out regions of strain accumula- tion near subduction zones makes it a major new tool for evaluating seismic potential. But clearly, more off-shore geodetic measurements will be par- ticularly valuable. In any case, the continued inves- tigation of many regions is perhaps the best strategy for coping with a limited historical record. The complex variations of slip behavior on the Japan megathrust highlight our ignorance of what controls fault behavior. How pressure, temperature, fluids, rock composition, and other factors influence the variations in slip rates and seismic radiation over a fault remains to be quantified. Progress re- quires dense onshore and offshore data collection and concerted investigation of regions of concern such as along the Cascadia margin off the coast of Oregon and Washington where a major research effort is under way. The Tohoku-oki event confirmed the value of applying modern technologies to earthquake and tsunami mitigation efforts. Strain-accumulation measurements, offshore fault-zone observations, and early earthquake and tsunami warning systems all played a role in saving lives, as terrible as the event was. Extreme events can and do happen, and re- sources may be too limited to fully protect ourselves. Our best prospect for coping with those events’ ef- fects, however, is to draw on our technologies, prepa- search rations, and ability to respond when Earth delivers the unexpected, as it did on 11 March 2011. We thank many colleagues who have shared information SMARTER about the great Tohoku-oki earthquake summarized here and thank NSF for supporting research on this event with grant EAR0635570. References 1. H. Kanamori, K. Yomogida, eds., Special issue: “First Results of the 2011 Off the Pacific Coast of Tohoku Earthquake,” Earth Planets Space 63, 511 (2011). 2. K. D. Koper et al., Earth Planets Space 63, 599 (2011). Find the supplies and services 3. Japan Society of Civil Engineers Tohoku Earth- you need using a network that quake Tsunami Information, http://www.coastal.jp/ physicists trust — tsunami2011/index.php. 4. M. Sato et al., Science 332, 1395 (2011). 5. M. Simons et al., Science 332, 1421 (2011). 6. J. P. Loveless, B. J. Meade, J. Geophys. Res. 115, B02410 (2010). 7. S. Ozawa et al., Nature 475, 373 (2011). 8. S. Ide, A. Baltay, G. C. Beroza, Science 332, 1426 (2011). 9. Y. Yamazaki et al., Proceedings of Oceans ’11 MTS/IEEE Start your search today at: Kona, IEEE, Piscataway, NJ (in press). physicstodaybuyersguide.com 10. A. Saito et al., Earth Planets Space 63, 863 (2011). 11. S. Toda, R. S. Stein, J. Lin, Geophys. Res. Lett. 38, L00G03 (2011). 12. N. Nakata, R. Snieder, Geophys. Res. Lett. 38, L17302 (2011). 13. H. Yue, T. Lay, Geophys. Res. Lett. 38, L00G09 (2011). 14. D. Zhao et al., Geophys. Res. Lett. 38, L17308 (2011). 15. C. J. Ammon, T. Lay, D. W. Simpson, Seismol. Res. Lett. 81 (1), 965 (2010). ■ December 2011 Physics Today 39