The source motion of 2003 Bam (Iran) earthquake constrained by satellite and ground‐based geodetic data

SUMMARY The interpretation of coseismic surface deformation measurements through inversion techniques is of major importance to understand the mechanical behaviour of a seismic fault. Dense geodetic data sets in the vicinity of the ruptured fault provide unique constraints on detailed fault geometry and slip distribution at depth, making them complementary to seismological data. Bam earthquake (Mw 6.6, 2003 December 26) induced surface deformation has been precisely mapped by Envisat ASAR interferometry and by subpixel correlation techniques applied to Spot-5 and ASAR amplitude images. These oblique and horizontal estimations of deformation have been completed with one levelling profile along the main road crossing the rupture from west to east. We process these data (separately and jointly) in a two-step inversion technique, within the elastic half-space theory framework. Our objective is to determine the dislocation model at depth that satisfies simultaneously all the geodetic constraints. Also, we estimate the relative contribution of each geodetic data set to this inversion process. We first use a stochastic direct approach called neighbourhood algorithm in order to estimate the average characteristics of the rupture, and their relative uncertainty. Constraining in this way the geometry of the ruptured fault, we then linearize the inverse problem and compute the slip distribution on the fault using a standard weighted least-square technique, assuming the solution is smooth to some degree. At each step, we discuss the optimal models, their stability as well as the relative influence of each data set on the derived models parameters. Our preferred model reveals a shallow dislocation on a quasi-vertical fault, slightly dipping towards east. The slip vector has a strike-slip component as high as 2 m, while the dip-slip component seems negligible. However, the estimation of the resolution matrices emphasizes the fact that the details of deep fault slip distribution remain out of the scope of this ill-conditioned inverse problem. Yet, our preferred model suggests a main dislocation limited at depth between 1 and 6 km. By contrast, the aftershocks observed in the months following the earthquake are located just beneath the estimated main shock.

[1]  James Jackson,et al.  The relationship between plate motions and seismic moment tensors, and the rates of active deformation in the Mediterranean and Middle East , 1988 .

[2]  J. Avouac,et al.  Deformation due to the 17 August 1999 Izmit, Turkey, earthquake measured from SPOT images , 2002 .

[3]  T. Wright,et al.  Surface displacements and source parameters of the 2003 Bam (Iran) earthquake from Envisat ASAR imagery , 2004 .

[4]  Steven N. Ward,et al.  An inversion for slip distribution and fault shape from geodetic observations of the 1983, Borah Peak, Idaho, Earthquake , 1986 .

[5]  M. Tatar,et al.  The 2003 December 26 Bam earthquake (Iran), Mw 6.6, aftershock sequence , 2005 .

[6]  Ian Parsons,et al.  Surface deformation due to shear and tensile faults in a half-space , 1986 .

[7]  James Jackson,et al.  Offset and evolution of the Gowk fault, S.E. Iran: a major intra-continental strike-slip system , 2002 .

[8]  Rongjiang Wang,et al.  Erratum to: "Computation of deformation induced by earthquakes in a multi-layered elastic crust - FORTRAN programs EDGRN/EDCMP": [Computers & Geosciences, 29(2) (2003) 195-207] , 2006, Comput. Geosci..

[9]  J. C. Savage Displacement field for an edge dislocation in a layered half‐space , 1998 .

[10]  Huajian Gao,et al.  Dislocations in inhomogeneous media via a moduli perturbation approach: General formulation and two‐dimensional solutions , 1994 .

[11]  Jean Taboury,et al.  Measuring near field coseismic displacements from SAR images: Application to the Landers Earthquake , 1999 .

[12]  M. Sambridge Geophysical inversion with a neighbourhood algorithm—I. Searching a parameter space , 1999 .

[13]  D. Jackson The use of a priori data to resolve non‐uniqueness in linear inversion , 1979 .

[14]  W. D. Stuart,et al.  Material heterogeneity simplifies the picture: Loma prieta , 1992, Bulletin of the Seismological Society of America.

[15]  T. Wallace,et al.  The 1990 Rudbar-Tarom Iranian earthquake sequence: Evidence for slip partitioning , 1995 .

[16]  Peter J. Clarke,et al.  Source parameters of the 1 October 1995 Dinar (Turkey) earthquake from SAR interferometry and seismic bodywave modelling , 1999 .

[17]  Semih Ergintav,et al.  Bulletin of the Seismological Society of America , 2002 .

[18]  Louis A. Romero,et al.  Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods , 1994 .

[19]  R. Bürgmann,et al.  The Effect of Elastic Layering on Inversions of GPS Data for Coseismic Slip and Resulting Stress Changes: Strike-Slip Earthquakes , 2005 .

[20]  P. Segall,et al.  Resolving the discrepancy between geodetic and seismic fault models for the 1989 Loma Prieta, California, earthquake , 1992, Bulletin of The Seismological Society of America (BSSA).

[21]  P. Segall,et al.  A fault model for the 1989 Kilauea South Flank Earthquake from leveling and seismic data , 1991 .

[22]  Ralph J. Archuleta,et al.  A faulting model for the 1979 Imperial Valley earthquake , 1984 .

[23]  S. Usai,et al.  A joint analysis of GPS motions and InSAR to infer the coseismic surface deformation of the Izmit, Turkey earthquake , 2004 .

[24]  M. Pirri,et al.  Coseismic fault rupture detection and slip measurement by ASAR precise correlation using coherence maximization: application to a north-south blind fault in the vicinity of Bam (Iran) , 2006, IEEE Geoscience and Remote Sensing Letters.

[25]  M. Berberian,et al.  Patterns of historical earthquake rupture in the Iranian Plateau , 1999, Bulletin of the Seismological Society of America.

[26]  Michel Campillo,et al.  Stress field associated with the rupture of the 1992 Landers, California, earthquake and its implications concerning the fault strength at the onset of the earthquake , 1998 .

[27]  Fred F. Pollitz,et al.  Coseismic Deformation From Earthquake Faulting On A Layered Spherical Earth , 1996 .

[28]  Mahdi Motagh,et al.  Combination of Precise Leveling and InSAR Data to Constrain Source Parameters of the Mw = 6.5, 26 December 2003 Bam Earthquake , 2006 .

[29]  L. Rivera,et al.  Coseismic Deformation from the 1999 Mw 7.1 Hector Mine, California, Earthquake as Inferred from InSAR and GPS Observations , 2002 .

[30]  Rowena B. Lohman,et al.  Location and mechanism of the Little Skull Mountain earthquake as constrained by satellite radar interferometry and seismic waveform modeling , 2002 .

[31]  H. Zebker,et al.  Fault Slip Distribution of the 1999 Mw 7.1 Hector Mine, California, Earthquake, Estimated from Satellite Radar and GPS Measurements , 2002 .

[32]  Y. Bock,et al.  Co-seismic displacements of the 1992 landers earthquake sequence , 1994, Bulletin of the Seismological Society of America.

[33]  Y. Okada Surface deformation due to shear and tensile faults in a half-space , 1985 .

[34]  C. Scholz The Mechanics of Earthquakes and Faulting , 1990 .

[35]  WangRongjiang,et al.  Computation of deformation induced by earthquakes in a multi-layered elastic crust , 2003 .

[36]  Paul A. Rosen,et al.  Surface Ruptures and Building Damage of the 2003 Bam, Iran, Earthquake Mapped by Satellite Synthetic Aperture Radar Interferometric Correlation , 2005 .

[37]  K. Hessami,et al.  Surface Expression of the Bam Fault Zone in Southeastern Iran: Causative Fault of the 26 December 2003 Bam Earthquake , 2004 .

[38]  R. Müller,et al.  3-D finite-element modelling of deformation and stress associated with faulting: effect of inhomogeneous crustal structures , 2004 .

[39]  Paul Segall,et al.  Estimating source parameters from deformation data, with an application to the March 1997 earthquake swarm off the Izu Peninsula, Japan , 2001 .

[40]  J. C. Savage Effect of crustal layering upon dislocation modeling , 1987 .

[41]  M. Berberian,et al.  Field and teleseismic observations of the 1981 Golbaf–Sirch earthquakes in SE Iran , 1984 .

[42]  Eric J. Fielding,et al.  Deformation during the 12 November 1999 Duzce, Turkey, earthquake, from GPS and InSar Data , 2002 .

[43]  M. Vallée,et al.  Imaging coseismic rupture in far field by slip patches , 2004 .

[44]  M. Sambridge Geophysical inversion with a neighbourhood algorithm—II. Appraising the ensemble , 1999 .

[45]  Allen H. Olson,et al.  Finite faults and inverse theory with applications to the 1979 Imperial Valley earthquake , 1982 .

[46]  Paul Lundgren,et al.  Joint Inversion of InSAR, GPS, Teleseismic, and Strong-Motion Data for the Spatial and Temporal Distribution of Earthquake Slip: Application to the 1999 İzmit Mainshock , 2002 .

[47]  Thomas H. Heaton,et al.  Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California, earthquake , 1983 .

[48]  Y. Fialko Probing the mechanical properties of seismically active crust with space geodesy: Study of the coseismic deformation due to the 1992 Mw7.3 Landers (southern California) earthquake , 2004 .

[49]  P. Segall,et al.  The 1989 Loma Prieta earthquake imaged from inversion of geodetic data , 1994 .

[50]  S. Das,et al.  Spatial relation between main earthquake slip and its aftershock distribution , 2003 .

[51]  P. Segall,et al.  Comparison of various inversion techniques as applied to the determination of a geophysical deformation model for the 1983 Borah Peak earthquake , 1992, Bulletin of the Seismological Society of America.

[52]  Paul Lundgren,et al.  Joint inversion of InSAR and teleseismic data for the slip history of the 1999 Izmit (Turkey) Earthquake , 2000 .

[53]  Ralph J. Archuleta,et al.  Analysis of near-source static and dynamic measurements from the 1979 Imperial Valley earthquake , 1982 .

[54]  K. Rybicki The elastic residual field of a very long strike-slip fault in the presence of a discontinuity , 1971, Bulletin of the Seismological Society of America.

[55]  P. Rosen,et al.  Joint inversion of broadband teleseismic and interferometric synthetic aperture radar (InSAR) data for the slip history of the Mw = 7.7, Nazca ridge (Peru) earthquake of 12 November 1996 , 2003 .

[56]  T. Wright,et al.  The 1998 March 14 Fandoqa earthquake (Mw 6.6) in Kerman province, southeast Iran: re‐rupture of the 1981 Sirch earthquake fault, triggering of slip on adjacent thrusts and the active tectonics of the Gowk fault zone , 2001 .

[57]  N. Ambraseys,et al.  A history of Persian earthquakes , 1982 .

[58]  Frederic Masson,et al.  Present‐day crustal deformation and plate kinematics in the Middle East constrained by GPS measurements in Iran and northern Oman , 2004 .

[59]  James Jackson,et al.  Surface displacements and source parameters of the 2003 Bam (Iran) earthquake from Envisat advanced synthetic aperture radar imagery , 2005 .

[60]  Peter J. Clarke,et al.  Geodetic investigation of the 13 May 1995 Kozani‐Grevena (Greece) Earthquake , 1997 .

[61]  Wim Spakman,et al.  The resolving power of coseismic surface displacement data for fault slip distribution at depth , 2003 .

[62]  D. Sandwell,et al.  Three-dimensional deformation caused by the Bam, Iran, earthquake and the origin of shallow slip deficit , 2005, Nature.

[63]  Freysteinn Sigmundsson,et al.  Fault slip distribution of two June 2000 M W 6.5 earthquakes in South Iceland estimated from joint inversion of InSAR and GPS measurements , 2003 .

[64]  Sayyed Keivan Hosseini,et al.  Source fault structure of the 2003 Bam earthquake, southeastern Iran, inferred from the aftershock distribution and its relation to the heavily damaged area: Existence of the Arg‐e‐Bam fault proposed , 2005 .

[65]  Xavier Le Pichon,et al.  Coseismic slip resolution and post-seismic relaxation time of the 1999 Chi-Chi, Taiwan, earthquake as constrained by geological observations, geodetic measurements and seismicity , 2004 .

[66]  R. Binet,et al.  Horizontal coseismic deformation of the 2003 Bam (Iran) earthquake measured from SPOT‐5 THR satellite imagery , 2005 .

[67]  Michel Campillo,et al.  Contribution of radar interferometry to a two-step inversion of the kinematic process of the 1992 Landers earthquake , 1999 .