The Earthquake‐Source Inversion Validation (SIV) Project

Finite-fault earthquake source inversions infer the (time-dependent) displacement on the rupture surface from geophysical data. The resulting earthquake source models document the complexity of the rupture process. However, multiple source models for the same earthquake, obtained by different research teams, often exhibit remarkable dissimilarities. To address the uncertainties in earthquake-source inversion methods and to understand strengths and weaknesses of the various approaches used, the Source Inversion Validation (SIV) project conducts a set of forward-modeling exercises and inversion benchmarks. In this article, we describe the SIV strategy, the initial benchmarks, and current SIV results. Furthermore, we apply statistical tools for quantitative waveform comparison and for investigating source-model (dis)similarities that enable us to rank the solutions, and to identify particularly promising source inversion approaches. All SIV exercises (with related data and descriptions) and statistical comparison tools are available via an online collaboration platform, and we encourage source modelers to use the SIV benchmarks for developing and testing new methods. We envision that the SIV efforts will lead to new developments for tackling the earthquake-source imaging problem.

[1]  P. Mai,et al.  Sensitivity of broad-band ground-motion simulations to earthquake source and Earth structure variations: an application to the Messina Straits (Italy) , 2012 .

[2]  P. M. Mai,et al.  Bayesian imaging of the 2000 Western Tottori (Japan) earthquake through fitting of strong motion and GPS data , 2009 .

[3]  Wolfgang Friederich,et al.  COMPLETE SYNTHETIC SEISMOGRAMS FOR A SPHERICALLY SYMMETRIC EARTH BY A NUMERICAL COMPUTATION OF THE GREEN'S FUNCTION IN THE FREQUENCY DOMAIN , 1995 .

[4]  Hiroo Kanamori,et al.  Uncertainty estimations for seismic source inversions , 2011 .

[5]  Peter Moczo,et al.  Time-frequency misfit and goodness-of-fit criteria for quantitative comparison of time signals , 2009 .

[6]  J. Stock,et al.  Earthquake in a Maze: Compressional Rupture Branching During the 2012 Mw 8.6 Sumatra Earthquake , 2012, Science.

[7]  Matthias Ohrnberger,et al.  Tracking the rupture of the Mw = 9.3 Sumatra earthquake over 1,150 km at teleseismic distance , 2005, Nature.

[8]  Jan Dettmer,et al.  Trans-dimensional finite-fault inversion , 2014 .

[9]  Peter M. Shearer,et al.  Detailed rupture imaging of the 25 April 2015 Nepal earthquake using teleseismic P waves , 2015 .

[10]  A. Pitarka,et al.  The SCEC/USGS Dynamic Earthquake Rupture Code Verification Exercise , 2012 .

[11]  T. Iwata,et al.  Rupture Process of the 1999 Kocaeli, Turkey, Earthquake Estimated from Strong-Motion Waveforms , 2002 .

[12]  Stefano Parolai,et al.  Automatic imaging of earthquake rupture processes by iterative deconvolution and stacking of high‐rate GPS and strong motion seismograms , 2014 .

[13]  Jean-Paul Ampuero,et al.  A New Strategy to Compare Inverted Rupture Models Exploiting the Eigenstructure of the Inverse Problem , 2015 .

[14]  P. Mai,et al.  Uncertainty in Earthquake Source Imaging Due to Variations in Source Time Function and Earth Structure , 2014 .

[15]  Shingo Yoshida,et al.  Joint Inversion of Near- and Far-field Waveforms and Geodetic Data for the Rupture Process of the 1995 Kobe Earthquake , 1996 .

[16]  Simon C. Stähler,et al.  Instaseis: instant global seismograms based on a broadband waveform database , 2015 .

[17]  Hiroo Kanamori,et al.  Frequency-dependent rupture process of the 2011 Mw 9.0 Tohoku Earthquake: Comparison of short-period P wave backprojection images and broadband seismic rupture models , 2011 .

[18]  François Renard,et al.  Faulting characteristics of supershear earthquakes , 2010 .

[19]  Masayuki Kikuchi,et al.  Inversion of complex body waves , 1982 .

[20]  M. Bouchon.  A simple method to calculate Green's functions for elastic layered media , 1981 .

[21]  Philip J. Maechling,et al.  The Collaboratory for the Study of Earthquake Predictability perspective on computational earthquake science , 2010 .

[22]  Daniel Lavallée,et al.  Stochastic model of heterogeneity in earthquake slip spatial distributions , 2006 .

[23]  William Hollingworth,et al.  Model Transparency and Validation , 2012, Medical decision making : an international journal of the Society for Medical Decision Making.

[24]  Jonathan M. Lees.  Open and Free: Software and Scientific Reproducibility , 2012 .

[25]  P. Mai,et al.  Hypocenter locations in finite-source rupture models , 2005 .

[26]  M. Ishii,et al.  Combining seismic arrays to image the high‐frequency characteristics of large earthquakes , 2012 .

[27]  Marc G. Genton,et al.  Analysing earthquake slip models with the spatial prediction comparison test , 2015 .

[28]  James L. Beck,et al.  Bayesian inversion for finite fault earthquake source models I—theory and algorithm , 2013 .

[29]  David J. Wald,et al.  Dynamic stress changes during earthquake rupture , 1998, Bulletin of the Seismological Society of America.

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

[31]  R. Archuleta,et al.  A new nonlinear finite fault inversion with three-dimensional Green's functions: Application to the 1989 Loma Prieta, California, earthquake , 2004 .

[32]  P. Spudich,et al.  Earthquake fracture energy inferred from kinematic rupture models on extended faults , 2005 .

[33]  G. A. Frazier,et al.  The discrete wavenumber/finite element method for synthetic seismograms , 1984 .

[34]  G. Hayes.  Rapid source characterization of the 2011 Mw 9.0 off the Pacific coast of Tohoku Earthquake , 2011 .

[35]  K. S. Thingbaijam,et al.  Quantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake , 2015 .

[36]  K. Irikura,et al.  Estimation of Source Rupture Process and Strong Ground Motion Simulation of the 2002 Denali, Alaska, Earthquake , 2005 .

[37]  Kenji Satake,et al.  Time and Space Distribution of Coseismic Slip of the 2011 Tohoku Earthquake as Inferred from Tsunami Waveform Data , 2013 .

[38]  Douglas S. Dreger,et al.  Empirical Green's function study of the January 17, 1994 Northridge, California earthquake , 1994 .

[39]  A. Gusev.  Statistics of the values of a normalized slip in the points of an earthquake fault , 2011 .

[40]  G. Festa.  Earthquake Source Inversion Blindtest: Initial Results and Further Developments , 2007 .

[41]  Peter Gerstoft,et al.  Kinematic earthquake rupture inversion in the frequency domain , 2014 .

[42]  Masataka Ando,et al.  Evidence of large scale repeating slip during the 2011 Tohoku‐Oki earthquake , 2011 .

[43]  Andreas Fichtner,et al.  Reducing nonuniqueness in finite source inversion using rotational ground motions , 2014 .

[44]  P. M. Mai,et al.  Bayesian inference of kinematic earthquake rupture parameters through fitting of strong motion data , 2008 .

[45]  Julian J. Bommer,et al.  Scaling of the Source Dimensions of Interface and Intraslab Subduction-zone Earthquakes with Moment Magnitude , 2010 .

[46]  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 .

[47]  James H. Dieterich,et al.  Progressive failure on the North Anatolian fault since 1939 by earthquake stress triggering , 1997 .

[48]  Peter M. Shearer,et al.  Extent, duration and speed of the 2004 Sumatra–Andaman earthquake imaged by the Hi-Net array , 2005, Nature.

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

[50]  S. Hartzell,et al.  Stability and Uncertainty of Finite-Fault Slip Inversions: Application to the 2004 Parkfield, California, Earthquake , 2007 .

[51]  P. Mai,et al.  Variability of dynamic source parameters inferred from kinematic models of past earthquakes , 2014 .

[52]  P. M. Mai,et al.  Evidence for self-similar, triangular slip distributions on earthquakes: Implications for earthquake and fault mechanics. , 2005 .

[53]  Jean-Paul Ampuero,et al.  Standards for Documenting Finite‐Fault Earthquake Rupture Models , 2016 .

[54]  J. Avouac,et al.  Kinematic inversion of physically plausible earthquake source models obtained from dynamic rupture simulations , 2008 .

[55]  Michael Barall,et al.  Metrics for Comparing Dynamic Earthquake Rupture Simulations , 2015 .

[56]  Susana Custódio,et al.  The 2004 Mw6.0 Parkfield, California, earthquake: Inversion of near‐source ground motion using multiple data sets , 2005 .

[57]  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 .

[58]  Michael Dumbser,et al.  Accurate Calculation of Fault-Rupture Models Using the High-Order Discontinuous Galerkin Method on Tetrahedral Meshes , 2007 .

[59]  Geoffrey Palarz Ely,et al.  A support-operator method for viscoelastic wave modelling in 3-D heterogeneous media , 2008 .

[60]  Igor A. Beresnev,et al.  Uncertainties in Finite-Fault Slip Inversions: To What Extent to Believe? (A Critical Review) , 2003 .

[61]  D. Schorlemmer,et al.  Testing earthquake source inversion methodologies , 2011 .

[62]  Jill P Mesirov,et al.  Accessible Reproducible Research , 2010, Science.

[63]  Frank Scherbaum,et al.  Scaling Relations of Earthquake Source Parameter Estimates with Special Focus on Subduction Environment , 2010 .

[64]  Gregory C. Beroza,et al.  Source Scaling Properties from Finite-Fault-Rupture Models , 2000 .

[65]  Amanda S. Hering,et al.  Comparing Spatial Predictions , 2011, Technometrics.

[66]  Monica D. Kohler,et al.  Mantle Heterogeneities and the SCEC Reference Three-Dimensional Seismic Velocity Model Version 3 , 2003 .

[67]  Luis Rivera,et al.  A note on the dynamic and static displacements from a point source in multilayered media , 2002 .

[68]  Constraining the roughness degree of slip heterogeneity , 2010 .

[69]  Pengcheng Liu,et al.  The 1994 Northridge, California, earthquake: Investigation of rupture velocity, risetime, and high‐frequency radiation , 1996 .

[70]  G. Beroza,et al.  A spatial random field model to characterize complexity in earthquake slip , 2002 .

[71]  Robert W. Graves,et al.  Resolution analysis of finite fault source inversion using one- and three-dimensional Green's functions. 1. Strong motions , 2001 .

[72]  N. Abrahamson,et al.  Characterizing Crustal Earthquake Slip Models for the Prediction of Strong Ground Motion , 1999 .

[73]  Jean-Paul Ampuero,et al.  A window into the complexity of the dynamic rupture of the 2011 Mw 9 Tohoku‐Oki earthquake , 2011 .

[74]  Keith D. Koper,et al.  En échelon and orthogonal fault ruptures of the 11 April 2012 great intraplate earthquakes , 2012, Nature.

[75]  J. Carlson,et al.  Distinguishing barriers and asperities in near-source ground motion , 2005 .

[76]  Thomas H. Heaton,et al.  Rupture model of the 1989 Loma Prieta earthquake from the inversion of strong-motion and broadband teleseismic data , 1991, Bulletin of the Seismological Society of America.

[77]  Ralph J. Archuleta,et al.  Evidence for a Supershear Transient during the 2002 Denali Fault Earthquake , 2004 .

[78]  T. Heaton.  Evidence for and implications of self-healing pulses of slip in earthquake rupture , 1990 .

[79]  Y. Yagi,et al.  Source rupture process of the Kocaeli, Turkey, earthquake of August 17, 1999, obtained by joint inversion of near‐field data and teleseismic data , 2000 .

[80]  Mustafa Aktar,et al.  Space and Time Evolution of Rupture and Faulting during the 1999 İzmit (Turkey) Earthquake , 2002 .

[81]  G. King,et al.  STATIC STRESS CHANGES AND THE TRIGGERING OF EARTHQUAKES , 1994 .

[82]  Michel Bouchon,et al.  The state of stress on some faults of the San Andreas system as inferred from near-field strong motion data , 1997 .

[83]  M. Dumbser,et al.  An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms , 2006 .

[84]  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 .

[86]  P. Liu,et al.  Kinematic Inversion of the 2004 M 6.0 Parkfield Earthquake Including an Approximation to Site Effects , 2006 .

[87]  Simon C. Stähler,et al.  AxiSEM: broadband 3-D seismic wavefields in axisymmetric media , 2014 .

[88]  Robert W. Graves,et al.  Resolution analysis of finite fault source inversion using one- and three-dimensional Green's functions: 2. Combining seismic and geodetic data , 2001 .

[89]  P. Mai,et al.  The transition of dynamic rupture styles in elastic media under velocity-weakening friction , 2012 .

[90]  G. Beroza,et al.  Imaging Earthquake Source Complexity , 2013 .