Kinematic earthquake source inversion and tsunami runup prediction with regional geophysical data

Rapid near‐source earthquake source modeling relying only on strong motion data is limited by instrumental offsets and magnitude saturation, adversely affecting subsequent tsunami prediction. Seismogeodetic displacement and velocity waveforms estimated from an optimal combination of high‐rate GPS and strong motion data overcome these limitations. Supplementing land‐based data with offshore wave measurements by seafloor pressure sensors and GPS‐equipped buoys can further improve the image of the earthquake source and prediction of tsunami extent, inundation, and runup. We present a kinematic source model obtained from a retrospective real‐time analysis of a heterogeneous data set for the 2011 Mw9.0 Tohoku‐Oki, Japan, earthquake. Our model is consistent with conceptual models of subduction zones, exhibiting depth dependent behavior that is quantified through frequency domain analysis of slip rate functions. The stress drop distribution is found to be significantly more correlated with aftershock locations and mechanism types when off‐shore data are included. The kinematic model parameters are then used as initial conditions in a fully nonlinear tsunami propagation analysis. Notably, we include the horizontal advection of steeply sloping bathymetric features. Comparison with post‐event on‐land survey measurements demonstrates that the tsunami's inundation and runup are predicted with considerable accuracy, only limited in scale by the resolution of available topography and bathymetry. We conclude that it is possible to produce credible and rapid, kinematic source models and tsunami predictions within minutes of earthquake onset time for near‐source coastal regions most susceptible to loss of life and damage to critical infrastructure, regardless of earthquake magnitude.

[1]  Julian J. Bommer,et al.  Processing of strong-motion accelerograms: needs, options and consequences , 2005 .

[2]  Y. Yagi,et al.  Smooth and rapid slip near the Japan Trench during the 2011 Tohoku-oki earthquake revealed by a hybrid back-projection method , 2012 .

[3]  Richard M. Allen,et al.  Development of the ElarmS methodology for earthquake early warning: Realtime application in California and offline testing in Japan , 2011 .

[4]  T. Ozaki Outline of the 2011 off the Pacific coast of Tohoku Earthquake (Mw 9.0) , 2011 .

[5]  Hidee Tatehata,et al.  The New Tsunami Warning System of the Japan Meteorological Agency , 1997 .

[6]  Clifford H. Thurber,et al.  Parameter estimation and inverse problems , 2005 .

[7]  Harold O. Mofjeld,et al.  The NTHMP Tsunameter Network , 2005 .

[8]  Richard M. Allen,et al.  Application of real‐time GPS to earthquake early warning in subduction and strike‐slip environments , 2013 .

[9]  Vasily V. Titov,et al.  Real-Time Tsunami Forecasting: Challenges and Solutions , 2003 .

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

[11]  J. Mori,et al.  Rupture process of the 2011 off the Pacific coast of Tohoku Earthquake (Mw 9.0) as imaged with back-projection of teleseismic P-waves , 2011 .

[12]  Guy Simpson,et al.  Coupled model of surface water flow, sediment transport and morphological evolution , 2006, Comput. Geosci..

[13]  Haruko Sekiguchi,et al.  Rupture process of the 2011 Tohoku‐Oki mega‐thrust earthquake (M9.0) inverted from strong‐motion data , 2011 .

[14]  Randall J. LeVeque,et al.  Tsunami modelling with adaptively refined finite volume methods* , 2011, Acta Numerica.

[15]  N. A. Haskell Total energy and energy spectral density of elastic wave radiation from propagating faults , 1964 .

[16]  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 .

[17]  Yuji Yagi,et al.  Waveform inversion for seismic source processes using ABIC with two sorts of prior constraints: Comparison between proper and improper formulations , 2003 .

[18]  Yehuda Bock,et al.  Near‐field tsunami models with rapid earthquake source inversions from land‐ and ocean‐based observations: The potential for forecast and warning , 2013 .

[19]  Nobuhito Mori,et al.  Nationwide Post Event Survey and Analysis of the 2011 Tohoku Earthquake Tsunami , 2012 .

[20]  Yehuda Bock,et al.  Rapid modeling of the 2011 Mw 9.0 Tohoku‐oki earthquake with seismogeodesy , 2013 .

[21]  Mihailo D. Trifunac,et al.  A note on the useable dynamic range of accelerographs recording translation 1 We dedicate this paper , 2001 .

[22]  David J. Wald,et al.  Slab1.0: A three‐dimensional model of global subduction zone geometries , 2012 .

[23]  Mihailo D. Trifunac,et al.  A three dimensional dislocation model for the San Fernando, California, earthquake of February 9, 1971 10F, 3T, 42R Bull. Seism. Soc. Am. V64, N1, Feb. 1974, P149–172 , 1974 .

[24]  Yuichiro Tanioka,et al.  Fault parameters of the 1896 Sanriku Tsunami Earthquake estimated from Tsunami Numerical Modeling , 1996 .

[25]  Kristine M. Larson,et al.  Recovering Seismic Displacements through Combined Use of 1-Hz GPS and Strong-Motion Accelerometers , 2007 .

[26]  H. Naruse,et al.  Tsunami-generated turbidity current of the 2011 Tohoku-Oki earthquake , 2013 .

[27]  Shuo Ma,et al.  Dynamic wedge failure reveals anomalous energy radiation of shallow subduction earthquakes , 2013 .

[28]  Gregory C. Beroza,et al.  Linearized inversion for fault rupture behavior: Application to the 1984 Morgan Hill, California, earthquake , 1988 .

[29]  Richard M. Allen,et al.  The deterministic nature of earthquake rupture , 2005, Nature.

[30]  Xu Yan Back-projection of Teleseismic P-waves Applied to the Source Rupture Process of the Lijiang M7.0 Earthquake in 1996 , 2012 .

[31]  Yuichiro Tanioka,et al.  Source Time Functions , 1997 .

[32]  David J. Wald,et al.  DEVELOPMENT OF A SEMI-EMPIRICAL LOSS MODEL WITHIN THE USGS PROMPT ASSESSMENT OF GLOBAL EARTHQUAKES F , 2010 .

[33]  Hiroo Kanamori,et al.  Depth‐varying rupture properties of subduction zone megathrust faults , 2011 .

[34]  Kenji Satake,et al.  Tsunami Source of the 2004 Sumatra–Andaman Earthquake Inferred from Tide Gauge and Satellite Data , 2007 .

[35]  Jeremy E. Kozdon,et al.  Constraining shallow slip and tsunami excitation in megathrust ruptures using seismic and ocean acoustic waves recorded on ocean-bottom sensor networks , 2014 .

[36]  tFISH/RAPiD: Rapid improvement of near‐field tsunami forecasting based on offshore tsunami data by incorporating onshore GNSS data , 2014 .

[37]  Jian Lin,et al.  Stress triggering in thrust and subduction earthquakes and stress interaction between the southern San Andreas and nearby thrust and strike-slip faults , 2004 .

[38]  David M. Boore,et al.  Comments on Baseline Correction of Digital Strong-Motion Data: Examples from the 1999 Hector Mine, California, Earthquake , 2002 .

[39]  Y. Ogawa,et al.  Large submarine landslides in the Japan Trench: A new scenario for additional tsunami generation , 2012 .

[40]  Stephan T. Grilli,et al.  Numerical Simulation of the 2011 Tohoku Tsunami Based on a New Transient FEM Co-seismic Source: Comparison to Far- and Near-Field Observations , 2013, Pure and Applied Geophysics.

[41]  Yehuda Bock,et al.  On robust and reliable automated baseline corrections for strong motion seismology , 2013 .

[42]  K. Satake,et al.  Slip Distribution and Seismic Moment of the 2010 and 1960 Chilean Earthquakes Inferred from Tsunami Waveforms and Coastal Geodetic Data , 2013, Pure and Applied Geophysics.

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

[44]  Satoshi Ide,et al.  Source process of the 1995 Kobe earthquake: Determination of spatio-temporal slip distribution by Bayesian modeling , 1996 .

[45]  F. Chester,et al.  Low Coseismic Friction on the Tohoku-Oki Fault Determined from Temperature Measurements , 2013, Science.

[46]  D. M. Moctezuma Seismogeodesy and Rapid Earthquake and Tsunami Source Assessment , 2014 .

[47]  David J. Wald,et al.  88 Hours: The U.S. Geological Survey National Earthquake Information Center Response to the 11 March 2011 Mw 9.0 Tohoku Earthquake , 2011 .

[48]  Yehuda Bock,et al.  Real-Time Strong-Motion Broadband Displacements from Collocated GPS and Accelerometers , 2011 .

[49]  Mizuho Ishida,et al.  Automated Seismic Moment Tensor Determination by Using On-line Broadband Seismic Waveforms , 1998 .

[50]  E. Okal,et al.  Field Survey of the Samoa Tsunami of 29 September 2009 , 2010 .

[51]  Narumi Takahashi,et al.  The 2011 Tohoku-Oki Earthquake: Displacement Reaching the Trench Axis , 2011, Science.

[52]  Patrick J. Lynett,et al.  Nearshore Wave Modeling with High-Order Boussinesq-Type Equations , 2006 .

[53]  Mitsuyuki Hoshiba,et al.  Outline of the 2011 off the Pacific coast of Tohoku Earthquake (Mw 9.0) —Earthquake Early Warning and observed seismic intensity— , 2011 .

[54]  Stephan T. Grilli,et al.  Did a submarine landslide contribute to the 2011 Tohoku tsunami , 2014 .

[55]  C. Ji,et al.  Slip history and dynamic implications of the 1999 Chi‐Chi, Taiwan, earthquake , 2003 .

[56]  Anthony Sladen,et al.  A detailed source model for the Mw9.0 Tohoku‐Oki earthquake reconciling geodesy, seismology, and tsunami records , 2014 .

[57]  P. Earle,et al.  Earthquake Casualty Models Within the USGS Prompt Assessment of Global Earthquakes for Response (PAGER) System , 2011 .

[58]  J. Borrero,et al.  Assessment of the tsunami‐induced current hazard , 2014 .

[59]  M. Kinoshita,et al.  Extension of continental crust by anelastic deformation during the 2011 Tohoku-oki earthquake: The role of extensional faulting in the generation of a great tsunami , 2013 .

[60]  D. Melgar,et al.  Real‐time inversion of GPS data for finite fault modeling and rapid hazard assessment , 2012 .

[61]  Chen Ji,et al.  Source Description of the 1999 Hector Mine, California, Earthquake, Part I: Wavelet Domain Inversion Theory and Resolution Analysis , 2002 .

[62]  Richard M. Allen,et al.  The Status of Earthquake Early Warning around the World: An Introductory Overview , 2009 .

[63]  Randall J. LeVeque,et al.  The GeoClaw software for depth-averaged flows with adaptive refinement , 2010, 1008.0455.

[64]  Randall J. LeVeque,et al.  Comparison of Earthquake Source Models for the 2011 Tohoku Event Using Tsunami Simulations and Near‐Field Observations , 2013 .

[65]  David L. George,et al.  Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation , 2008, J. Comput. Phys..

[66]  Hiroo Kanamori,et al.  The physics of earthquakes , 2001 .

[67]  Y. Okada Internal deformation due to shear and tensile faults in a half-space , 1992, Bulletin of the Seismological Society of America.

[68]  R. LeVeque,et al.  FINITE VOLUME METHODS AND ADAPTIVE REFINEMENT FOR GLOBAL TSUNAMI PROPAGATION AND LOCAL INUNDATION. , 2006 .

[69]  Jessica R. Murray,et al.  Real‐time inversions for finite fault slip models and rupture geometry based on high‐rate GPS data , 2014 .

[70]  Taku Urabe,et al.  GRiD MT (grid-based real-time determination of moment tensors) monitoring the long-period seismic wavefield , 2009 .

[71]  J. Brune Tectonic stress and the spectra of seismic shear waves from earthquakes , 1970 .

[72]  Thorne Lay,et al.  Inversion of high‐rate (1 sps) GPS data for rupture process of the 11 March 2011 Tohoku earthquake (Mw 9.1) , 2011 .

[73]  Thomas A. Hennig,et al.  The Shuttle Radar Topography Mission , 2001, Digital Earth Moving.

[74]  Gregory C. Beroza,et al.  Shallow Dynamic Overshoot and Energetic Deep Rupture in the 2011 Mw 9.0 Tohoku-Oki Earthquake , 2011, Science.

[75]  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 .

[76]  Akira Asada,et al.  Displacement Above the Hypocenter of the 2011 Tohoku-Oki Earthquake , 2011, Science.

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

[78]  Aditya Riadi Gusman,et al.  A methodology for near‐field tsunami inundation forecasting: Application to the 2011 Tohoku tsunami , 2014 .

[79]  Walter H. F. Smith,et al.  Global marine gravity from retracked Geosat and ERS‐1 altimetry: Ridge segmentation versus spreading rate , 2009 .

[80]  C. Faccenna,et al.  Physical characteristics of subduction interface type seismogenic zones revisited , 2011 .

[81]  Thomas H. Heaton,et al.  TriNet “ShakeMaps”: Rapid Generation of Peak Ground Motion and Intensity Maps for Earthquakes in Southern California , 1999 .

[82]  R. Archuleta,et al.  Site-Response Estimation for the 2003 Miyagi-Oki Earthquake Sequence Considering Nonlinear Site Response , 2006 .

[83]  R. LeVeque Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[84]  Richard Bouchard,et al.  DART® Tsunameter Retrospective and Real-Time Data: A Reflection on 10 Years of Processing in Support of Tsunami Research and Operations , 2013, Pure and Applied Geophysics.

[85]  Gerassimos A. Papadopoulos,et al.  OPERATIONAL EARTHQUAKE FORECASTING. State of Knowledge and Guidelines for Utilization , 2011 .

[86]  Jianghui Geng,et al.  Earthquake magnitude scaling using seismogeodetic data , 2013 .

[87]  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 .

[88]  N. D’Agostino,et al.  Clues from joint inversion of tsunami and geodetic data of the 2011 Tohoku-oki earthquake , 2012, Scientific Reports.

[89]  M. Ishii,et al.  The March 11, 2011 Tohoku‐oki earthquake and cascading failure of the plate interface , 2012 .

[90]  Yehuda Bock,et al.  Real-time centroid moment tensor determination for large earthquakes from local and regional displacement records , 2012 .

[91]  Chen Ji,et al.  Focal mechanism and slip history of the 2011 Mw 9.1 off the Pacific coast of Tohoku Earthquake, constrained with teleseismic body and surface waves , 2011 .

[92]  Yehuda Bock,et al.  Instantaneous geodetic positioning with 10–50 Hz GPS measurements: Noise characteristics and implications for monitoring networks , 2006 .

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

[94]  A. Smyth,et al.  Multi-rate Kalman filtering for the data fusion of displacement and acceleration response measurement in dynamic system monitoring , 2007 .

[95]  Emanuele Casarotti,et al.  The Establishment of an Operational Earthquake Forecasting System in Italy , 2014 .

[96]  Tatsuo Ohmachi,et al.  Simulation of Tsunami Induced by Dynamic Displacement of Seabed due to Seismic Faulting , 2001 .

[97]  N. Lapusta,et al.  Stable creeping fault segments can become destructive as a result of dynamic weakening , 2013, Nature.

[98]  Richard M. Allen,et al.  Operational real‐time GPS‐enhanced earthquake early warning , 2014 .

[99]  P. Rydelek,et al.  Earth science: Is earthquake rupture deterministic? , 2006, Nature.

[100]  Hirotugu Akaike,et al.  Likelihood and the Bayes procedure , 1980 .