SUMATRA EARTHQUAKE (Mw~9.0) of DECEMBER 26, 2004
Source Rupture Processes and Slip Distribution Modelling
Preliminary Rupture Model Contributed by

Tuncay Taymaz, Onur Tan and Seda Yolsal 
İstanbul Technical University, the Faculty of Mines
Department of Geophysical Engineering, Seismology Section
Maslak TR-34390-İstanbul-TURKEY
 

 

Seismological Parameters Reported

 

 

 

 

DATA Processing and Inversion

We used the GDSN teleseismic long-period and broadband waveforms downloaded from the IRIS DMC. We analyzed  teleseismic P- and  SH- waveforms selected based upon data quality and azimuthal distribution. Waveforms are first converted to displacement by removing the instrument response and then are used to constrain the slip history. 

We use USGS location. 


 Indonesia/Nicobar/Andaman/Sumatra Earthquake of December 26, 2004
 Mw=9.0 NEIC Epicenter Latitude 3.32 North, Longitude 95.85 East (USGS)
 Sunday, December 26, 2004 at 00:58:53 GMT (7:58:53 AM local time at epicenter )

 HARVARD-CMT

 HARVARD EVENT-FILE NAME M122604A
 DATA USED: GSN MANTLE WAVES: 73S,202C, T=300
 CENTROID LOCATION: ORIGIN TIME 01:01: 9.0 0.3
 LAT 3.09N 0.04;LON 94.26E 0.03
 DEP 28.6 1.3;HALF-DURATION 95.0
 MOMENT TENSOR; SCALE 10**29 D-CM
 MRR= 1.04 0.01; MTT=-0.43 0.01
 MPP=-0.61 0.01; MRT= 2.98 0.16
 MRP=-2.40 0.16; MTP= 0.43 0.00
 PRINCIPAL AXES:
 1.(T) VAL= 4.01;PLG=52;AZM= 36
 2.(N) -0.12; 3; 130
 3.(P) -3.89; 38; 222
 BEST DOUBLE COUPLE:M0=4.0*10**29
 NP1:STRIKE=329;DIP= 8;SLIP= 110
 NP2:STRIKE=129;DIP=83;SLIP= 87

 

Regional Tectonic Setting 

The devastating megathrust earthquake of December 26, 2004, occurred on the interface of the India and Burma plates and was caused by the release of stresses that develop as the India plate subducts beneath the overriding Burma plate. The India plate begins its descent into the mantle at the Sunda trench, which lies to the west of the earthquake's epicenter. The trench is the surface expression of the plate interface between the Australia and India plates, situated to the southwest of the trench, and the Burma and Sunda plates, situated to the northeast.

Further Details are under the following link:

 

Global Digital Elevation Model used are obtained through USGS-GTOPO-30 and resampled every 2 minutes. http://edcdaac.usgs.gov/gtopo30

 

MEASURED AND ESTIMATED SEAFLOOR TOPOGRAPHY obtained and reprocessed after Smith, W. H. F., and D. T. Sandwell, Global seafloor topography from satellite altimetry and ship depth soundings, Science, v. 277, p. 1957-1962, 1997.

 http://topex.ucsd.edu/marine_topo

Teleseismic Long-Period Waveforms

Azimuthal distributions of teleseismic Long-Period P- and SH- Waveforms of the December 26, 2004 Sumatra earthquake (Mw=9.0) recorded by GDSN stations in the distance range of 30–90° are shown. Station code, phase type, type of instrument (d:GDSN long period) epicentral distance (°), azimuth angle (°) and wave amplitude (in microns) are given at the left of the each waveform, respectively.


click to enlarge

 Long-Period P- Waveforms    [ 1 ]  [ 2 ]  [ 3 ]  [ 4 ]         Long-Period SH- Waveforms  [ 1 ]  [ 2 ]  [ 3 ]  [ 4 ] 

Teleseismic Broad-Band Waveforms

Azimuthal distributions of teleseismic Broad-Band
 P- Waveforms
of the December 26, 2004 Sumatra earthquake (Mw=9.0) recorded by GDSN stations in the distance range of 30–90° are shown. Station code, phase type, type of instrument (d:GDSN long period) epicentral distance (°), azimuth angle (°) and wave amplitude (in microns) are given at the left of the each waveform, respectively.

   Broad-Band P- Waveforms  [ 1 ]   [ 2 ]   [ 3 ] 

Long-Period P- and SH- Waveform 
Modelling Parameters

Minimum misfit solution is obtained by using teleseismic long-period P and SH waveforms for the earthquake of 2004 December 26. Body-waveform inversion method of Nábélek (1984: Ph.D Thesis) which minimizes, in a weighted least-squares sense, the misfit between observed and synthetic seismograms, is used to determine the earthquake source parameters. Solid and dashed lines are observed and synthetic waveforms, respectively. Station positions are indicated by letter, and are arranged alphabetically clockwise, starting from north. Seismograms were weighted according to the azimuthal distribution of stations, such that stations clustered together were given smaller weights than those of isolated stations (McCaffrey and Abers, 1988). P and T axes are marked by solid and open circles.

-- Nodal Plane 1--
   Strike  : 320
   Dip      : 15
   Rake   : 95 
   Slip Vector 1: Azimuth = 225 (or 45) Plunge = 15

-- Nodal Plane 2 --
   Strike  : 135
   Dip      : 75
   Rake   : 89
   Slip Vector 2:
Azimuth = 50 (or 320) Plunge = 75

-- Principal Axes --
 
 (P) Plunge = 30; Azimuth = 226
   (T) Plunge =  60; Azimuth = 43
   (N) Plunge =  1; Azimuth = 135
  

-- Focal Depth (h): 37 km --

-- Seismic Moment (Mo) --
      2.25 x 10^22 Newton-Metre

-- Source Time Function (STF) --
    ~160 seconds

-- Velocity Structure Used --

Two-layered velocity structure used with 2.5 km water column and 5 km of thickness of 1st layer overlained above half-space, and the relevant velocities are summarised below:

   Z-top         Vp           Vs          Rho 
    (km)      (km/s)      (km/s)   (gr/cm^3)

   0.00         1.50          0.00      1.03 water
   2.50         4.50          2.60      2.40 c
   7.50         6.80          3.90      2.91

 c- 
   
complete response of multiple reverbrations
    calculated for 3 bounces within water column

 -- References --

Nabelek, J.L., (1984). Determination of earthquake source parameters from inversion of body waves, PhD Thesis, M.I.T., Massachusetts, U.S.A.

McCaffrey, R. and Nabelek, J.L.,(1988). The geometry of back-arc trusting along the eastern Sunda Ark, Indonesia: constrains from earthquake and gravity data Journal of Geophysical Research, 89, 6171-6179.

Taymaz, T. and Jackson, J.A. and McKenzie, D., (1991). Active Tectonics of the North and Central Aegean Sea, Geophysical Journal International, 106, 433-490, 

Source Rupture Processes and
Slip Distribution Modelling Parameters

Teleseismic Broad-Band P-Waveforms are used to constrain source rupture processes and slip distribution modelling developed by Yagi and Kikuchi (2000)

Data sampling           : 0.2 sec
Subfault size             : 25 x 25 km^2
Num. of sub-faults     : 18 x 8 = 144
Num. of triangles of each subfault: 5
Rise time                   : 4 sec
Num. of Stations       : 23

The map view of the co-seismic slip distribution of the Sumatra Earthquake. The rupture began at the focal (white star) and propagated to northwest. The high slip (~9.5 m max) occured on the bend of the Java Trench. Blue lines: Depth contours of the slab every 50 km (from RUM).

Grey Circles: Seismicity of the region (USGS-NEIC 1973-2004, M>5.0) along Java Trench.

Red Circles: Aftershocks of the Sumatra earthquake scaled with respect to their magnitude (USGS-NEIC, 26.12.2004 - 05.01.2005, M>4.0).

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The co-seismic slip distribution of the Northern Sumatra Earthquake. The black arrows show the slip vectors of each sub-fault obtained. 

 

 

 

 

 

The azimuthal station distribution are shown on the focal mechanism solution with white circles. The maximum Slip (displacement)  is ~9.5 m. 

 

 

 

 

 

Observed (black-solid) and synthetic (red-dotted) waveforms, station code and maximum amplitude (microns) above, station azimuth/distance are shown below waveforms.

 

 

 

 

 

 

 

-- References --

Yagi, Y. and Kikuchi, M., (2000). Source rupture process of the Kocaeli, Turkey,  earthquake of August 17, 1999, obtained by joint inversion of near-field data and teleseismic data, Geophysical Research Letters., 27, 1969-1972.

Gundmundsson, O. and M. Sambridge, (1998). A regionalized upper mantle (RUM) seismic model, Journal of Geophysical Research, vol 103, No. B4, 7121-7136, 1998.

 

 Tsunami Propagation Models Generated

for further info http://yalciner.ce.metu.edu.tr/sumatra

The generation, propagation and coastal amplification of tsunami waves are modeled using TUNAMI N2 software. TUNAMI N2 is authored by Fumihiko Imamura in Tohoku University Japan, and developed in Middle East Technical University by Ahmet Cevdet Yalçıner, and in the University of Southern California by Costas Synolakis. It is UNESCO TIME Project Product. The model applications for this event by Ceren Özer, Hülya Karakuş, Gülizar Özyurt and Ilgar Şafak at Middle East Technical University (METU), Ankara-Turkey and Efim Pelinovsky and Andrey Zaitsev from Institute of Applied Physics, Russian Academy of Sciences,
Nizhny Novgorod, Russia

During the estimate stage of the intial wave We have exchanged contributions from Ugur Kuran, Prof. Tuncay Taymaz and Prof. Emile Okal. We acknowledge Prof. Efim Pelinovsky for providing the batymetric data. The simulation had been done by TUNAMI-N2 which was authored by Prof. Fumihiko Imamura in Tohoku University Japan, and developed in Middle East Technical University-Ankara under support of TÜBİTAK and by collaboration with Prof. Costas Synolakis in Univerity of Southern California, USA and licenced by Imamura-Yalciner-Synolakis. 

We cordially share all results and wish to collaborate all further researches. You can also share these results with any interested colleagues. We have made the following simulations:

SIMULATION 1:

Our first estimate of the tsunami source on the date of earthquake and tsunami  was based the fault data Fault Length and Wi dth are 666km and .90 km respectively. Strike Angle 340 Dip angle 13 Slip Angle 55 Displacement 20 m Focal Depth 7 km.

The initial wave has the maxiumum positive amplitude : 7.18 m
The maximum negative amplitude : 3.42 m.

Shown in the figures (links) below:

http://yalciner.ce.metu.edu.tr/sumatra/0001/faultwave.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a000.jpg

The sea state and propagation of the wave at different time steps

in Indian Ocean can be seen in the following figures:

http://yalciner.ce.metu.edu.tr/sumatra/0001/a000.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a060.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a120.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a180.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a240.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a300.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/a360.jpg

The distribution of maximum apmlitude in the Ocean throughout simulation duration http://yalciner.ce.metu.edu.tr/sumatra/0001/azmax-600dpi.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0001/azmax.jpg

The runup distributions along the Coast of Indonesia
http://yalciner.ce.metu.edu.tr/sumatra/0001/indoneziya.jpg

The runup distributions along the Coast of North of Thailand
http://yalciner.ce.metu.edu.tr/sumatra/0001/thailand_N.jpg

The runup distributions along the Coast of South of Thailand
http://yalciner.ce.metu.edu.tr/sumatra/0001/thailand_S.jpg

The runup distributions along the North Coast of Indian Ocean
http://yalciner.ce.metu.edu.tr/sumatra/0001/north.jpg

The coastlines where runup ditributions are computed
http://yalciner.ce.metu.edu.tr/sumatra/0001/runup_area.jpg

SIMULATION 2: BY USING SPHERICAL COORDINATE SYSTEM WITH CORIOLIS FORCE EFFECT

by Andrey Zaitsev and Efim Pelinovsky Institute of Applied Physics,
Russian Academy of Sciences, Nizhny Novgorod, Russia

The same fault data given above has also been used in simulation Initial wave http://yalciner.ce.metu.edu.tr/sumatra/spherical/t0.jpg

After 2 hours
http://yalciner.ce.metu.edu.tr/sumatra/sphericalt2hours.jpg

Runup Distribution http://yalciner.ce.metu.edu.tr/sumatra/spherical/ruup_area_lable.jpg
http://yalciner.ce.metu.edu.tr/sumatra/spherical/ruups_area.jpg

SIMULATION 7 Animation

http://yalciner.ce.metu.edu.tr/sumatra/0007/sim-7-b-60dpi-600min.gif

Fault Length 419 km
  Fault Width 190 km
Strike Angle 329
Dip andgle 8
Slip Angle 110
Displacement 20 m
Focal Depth 25km.
The initial wave has
The maxiumum positive amplitude : 7.18 m
The maximum negative amplitude : -3.36 m
It is based on the fault parameters and initial wave shown in the figure its link below:
http://yalciner.ce.metu.edu.tr/sumatra/0007/0000-data.jpg

In this simulation we have used shorter length of the fault by using the fault plane solutions (by Prof. Tuncay Taymaz) and historical earthquakes (Geophysicist ugur Kuran) of the fault zones at West of Sumatra. We have put the animation of several files in the following link about the results of recent Simulation 7.
http://yalciner.ce.metu.edu.tr/sumatra/0007/sim-7-b-0dpi-600min.gif

The jpg files showing the sea state at different time steps are also shown in the following links. (The file name represents the time in minutes) 

http://yalciner.ce.metu.edu.tr/sumatra/0007/0000.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0007/010.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0007/060.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0007/120.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0007/240.jpg
http://yalciner.ce.metu.edu.tr/sumatra/0007/360.jpg

The distribution of maximum positive amplitudes in Indian Ocean throughout 900 minutes simulation is in the link below
http://yalciner.ce.metu.edu.tr/sumatra/0007/max-0007.jpg

The time histories of water surface fluctuations at some gauge locations near West of Sumatra http://yalciner.ce.metu.edu.tr/sumatra/0007/sumatrawest.jpg

The time histories of water surface fluctuations at some gauge locations near East of Sumatra http://yalciner.ce.metu.edu.tr/sumatra/0007/sumatraeast.jpg

The time histories of water surface fluctuations at some gauge locations near Thailand http://yalciner.ce.metu.edu.tr/sumatra/0007/thailand.jpg

The time histories of water surface fluctuations at some gauge locations near Burna http://yalciner.ce.metu.edu.tr/sumatra/0007/burma.jpg 

The time histories of water surface fluctuations at some gauge locations mear Bangladesh http://yalciner.ce.metu.edu.tr/sumatra/0007/bangladesh.jpg 

The time histories of water surface fluctuations at some gauge locations near the border of Bangladesh and India http://yalciner.ce.metu.edu.tr/sumatra/0007/bangladeshindia.jpg

The time histories of water surface fluctuations at some gauge locations near India http://yalciner.ce.metu.edu.tr/sumatra/0007/india.jpg 

The time histories of water surface fluctuations at some gauge locations near India East Coast http://yalciner.ce.metu.edu.tr/sumatra/0007/indiaeast.jpg

The time histories of water surface fluctuations at some gauge locations near India South Coast http://yalciner.ce.metu.edu.tr/sumatra/0007/indiasouth.jpg 

The time histories of water surface fluctuations at some gauge locations near Sri Lanka http://yalciner.ce.metu.edu.tr/sumatra/0007/srilanka.jpg 

The time histories of water surface fluctuations at some gauge locations near Maldives http://yalciner.ce.metu.edu.tr/sumatra/0007/maldives.jpg 

The time histories of water surface fluctuations at some gauge locations near Maldives-2 http://yalciner.ce.metu.edu.tr/sumatra/0007/maldives2.jpg 

The time histories of water surface fluctuations at some gauge locations near North West Ocean http://yalciner.ce.metu.edu.tr/sumatra/0007/westocean.jpg 

The time histories of water surface fluctuations at some gauge locations near Umman http://yalciner.ce.metu.edu.tr/sumatra/0007/umman.jpg 

The time histories of water surface fluctuations at some gauge locations at Djibouti http://yalciner.ce.metu.edu.tr/sumatra/0007/aden.jpg 

Figure of Tidal Wave measurements for Djibouti http://yalciner.ce.metu.edu.tr/sumatra/0007/mareg-11-aden.jpg 

We thank Kassim Mohamed and Jalludin Mohamed of Observatoire Géophysique d'Arta /CERD BP1888 Djibouti- R. of Djibouti (kassimk2004@yahoo.fr) for providing Tidal Gauge data of Djibouti.

The time histories of water surface fluctuations at some gauge locations near Somali http://yalciner.ce.metu.edu.tr/sumatra/0007/somali.jpg

The time histories of water surface fluctuations at some gauge locations near Kenya http://yalciner.ce.metu.edu.tr/sumatra/0007/kenya.jpg

The time histories of water surface fluctuations at some gauge locations near Tanzanya http://yalciner.ce.metu.edu.tr/sumatra/0007/tanzanya.jpg

The time histories of water surface fluctuations at some gauge locations near Madagascar http://yalciner.ce.metu.edu.tr/sumatra/0007/madagasar.jpg