Tsunami waveform inversion for sea surface displacement following the 2011 Tohoku earthquake: Importance of dispersion and source kinematics

This paper considers the importance of model parameterization, including dispersion, source kinematics, and source discretization, in tsunami source inversion. We implement single and multiple time window methods for dispersive and nondispersive wave propagation to estimate source models for the tsunami generated by the 2011 Tohoku-Oki earthquake. Our source model is described by sea surface displacement instead of fault slip, since sea surface displacement accounts for various tsunami generation mechanisms in addition to fault slip. The results show that tsunami source models can strongly depend on such model choices, particularly when high-quality, open-ocean tsunami waveform data are available. We carry out several synthetic inversion tests to validate the method and assess the impact of parameterization including dispersion and variable rupture velocity in data predictions on the inversion results. Although each of these effects has been considered separately in previous studies, we show that it is important to consider them together in order to obtain more meaningful inversion results. Our results suggest that the discretization of the source, the use of dispersive waves, and accounting for source kinematics are all important factors in tsunami source inversion of large events such as the Tohoku-Oki earthquake, particularly when an extensive set of high-quality tsunami waveform recordings are available. For the Tohoku event, a dispersive model with variable rupture velocity results in a profound improvement in waveform fits that justify the higher source complexity and provide a more realistic source model.

[1]  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 .

[2]  T. Furumura,et al.  Significant tsunami observed at ocean-bottom pressure gauges during the 2011 off the Pacific coast of Tohoku Earthquake , 2011 .

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

[4]  Hongqiang Zhou,et al.  Dispersive modeling of the 2009 Samoa tsunami , 2012 .

[5]  Nobuo Shuto,et al.  Numerical simulation of tsunamis — Its present and near future , 1991 .

[6]  Tatsuhiko Saito,et al.  Dispersion and nonlinear effects in the 2011 Tohoku‐Oki earthquake tsunami , 2014 .

[7]  R. Kayen,et al.  Varieties of submarine failure morphologies of seismically-induced landslides in Alaskan fjords , 2006 .

[8]  H. Kanamori,et al.  The 2011 Mw 9.0 off the Pacific coast of Tohoku Earthquake: Comparison of deep-water tsunami signals with finite-fault rupture model predictions , 2011 .

[9]  Kazuhiro Kimura,et al.  Near-field tsunami forecasting using offshore tsunami data from the 2011 off the Pacific coast of Tohoku Earthquake , 2011 .

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

[11]  G. Pedersen,et al.  Propagation of the Dec. 26, 2004, Indian Ocean Tsunami: Effects of Dispersion and Source Characteristics , 2006 .

[12]  Kenji Satake,et al.  Tsunami generation by horizontal displacement of ocean bottom , 1996 .

[13]  Stephan T. Grilli,et al.  Modeling the 26 December 2004 Indian ocean tsunami : Case study of impact in Thailand - art. no. C07024 , 2007 .

[14]  Gavin P. Hayes,et al.  Tsunami Forecast by Joint Inversion of Real-Time Tsunami Waveforms and Seismic or GPS Data: Application to the Tohoku 2011 Tsunami , 2014, Pure and Applied Geophysics.

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

[16]  Yoshinori Shigihara,et al.  Wave Dispersion Study in the Indian Ocean-Tsunami of December 26, 2004 , 2006 .

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

[18]  Kenji Satake,et al.  Inversion of tsunami waveforms for the estimation of a fault heterogeneity: Method and numerical experiments. , 1987 .

[19]  Sylfest Glimsdal,et al.  Dispersion of tsunamis: does it really matter? , 2013 .

[20]  Per Christian Hansen,et al.  Analysis of Discrete Ill-Posed Problems by Means of the L-Curve , 1992, SIAM Rev..

[21]  Fred F. Pollitz,et al.  Geodetic slip model of the 2011 M9.0 Tohoku earthquake , 2011 .

[22]  R. Sato,et al.  GENERATION OF TSUNAMI BY A FAULT MODEL , 1974 .

[23]  Stefano Lorito,et al.  Rupture Process of the 2004 Sumatra-Andaman Earthquake from Tsunami Waveform Inversion , 2007 .

[24]  James L. Beck,et al.  Bayesian inversion for finite fault earthquake source models – II: the 2011 great Tohoku-oki, Japan earthquake , 2014 .

[25]  Narumi Takahashi,et al.  Tsunami Inundation Modeling of the 2011 Tohoku Earthquake Using Three-Dimensional Building Data for Sendai, Miyagi Prefecture, Japan , 2014 .

[26]  Stephen H. Hartzell,et al.  Comparison of seismic waveform inversion results for the rupture history of a finite fault: Application to the 1986 North Palm Springs, California, earthquake , 1989 .

[27]  Takashi Furumura,et al.  Three-dimensional tsunami generation simulation due to sea-bottom deformation and its interpretation based on the linear theory , 2009 .

[28]  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 .

[29]  Kenji Satake,et al.  Tsunami source of the 2011 off the Pacific coast of Tohoku Earthquake , 2011 .

[30]  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.

[31]  Christian Bignami,et al.  Coseismic slip distribution for the Mw 9 2011 Tohoku‐Oki earthquake derived from 3‐D FE modeling , 2013 .

[32]  E. Kulikov,et al.  Dispersion of the Sumatra Tsunami waves in the Indian Ocean detected by satellite altimetry , 2006 .

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

[34]  Sarah E. Minson,et al.  The 2011 Magnitude 9.0 Tohoku-Oki Earthquake: Mosaicking the Megathrust from Seconds to Centuries , 2011, Science.

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

[36]  T. Kanazawa,et al.  Joint inversion of strong motion, teleseismic, geodetic, and tsunami datasets for the rupture process of the 2011 Tohoku earthquake , 2011 .

[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]  S. Stein,et al.  Ultralong Period Seismic Study of the December 2004 Indian Ocean Earthquake and Implications for Regional Tectonics and the Subduction Process , 2007 .

[39]  Hiroo Kanamori,et al.  A rupture model of the 2011 off the Pacific coast of Tohoku Earthquake , 2011 .

[40]  T. Sagiya,et al.  Slip distribution of the 2011 off the Pacific coast of Tohoku Earthquake inferred from geodetic data , 2011 .

[41]  T. Furumura,et al.  Tsunami waveform inversion including dispersive waves: the 2004 earthquake off Kii Peninsula, Japan , 2010 .

[42]  M. Kido,et al.  Was the 2011 Tohoku-Oki earthquake preceded by aseismic preslip? Examination of seafloor vertical deformation data near the epicenter , 2014, Marine Geophysical Research.

[43]  Tatsuhiko Saito,et al.  Two subevents across the Japan Trench during the 7 December 2012 off Tohoku earthquake (Mw 7.3) inferred from offshore tsunami records , 2014 .

[44]  Yuji Yagi,et al.  A unified source model for the 2011 Tohoku earthquake , 2011 .

[45]  Stephan T. Grilli,et al.  Dispersive tsunami waves in the ocean: Model equations and sensitivity to dispersion and Coriolis effects , 2013 .

[46]  Stephan T. Grilli,et al.  Source Constraints and Model Simulation of the December 26 , 2007 .

[47]  Yuji Yagi,et al.  Rupture process of the 2011 Tohoku‐oki earthquake and absolute elastic strain release , 2011 .

[48]  H. Kanamori,et al.  The Great Sumatra-Andaman Earthquake of 26 December 2004 , 2005, Science.

[49]  T. Lay,et al.  Source Rupture Models for the Mw 9.0 2011 Tohoku Earthquake from Joint Inversions of High‐Rate Geodetic and Seismic Data , 2013 .

[50]  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 .

[51]  T. Baba,et al.  Compound fault rupture during the 2004 off the Kii Peninsula earthquake (M 7.4) inferred from highly resolved coseismic sea-surface deformation , 2005 .

[52]  H. Thio,et al.  Validation and Joint Inversion of Teleseismic Waveforms for Earthquake Source Models Using Deep Ocean Bottom Pressure Records: A Case Study of the 2006 Kuril Megathrust Earthquake , 2009 .

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

[54]  Hitoshi Mikada,et al.  Real-time geophysical measurements on the deep seafloor using submarine cable in the southern Kurile subduction zone , 2002 .

[55]  Philip Watts,et al.  The Sissano, Papua New Guinea tsunami of July 1998 — offshore evidence on the source mechanism , 2001 .

[56]  Y. Ito,et al.  Tsunami source of the 2011 Tohoku‐Oki earthquake, Japan: Inversion analysis based on dispersive tsunami simulations , 2011 .

[57]  Motoyuki Kido,et al.  Coseismic slip distribution of the 2011 off the Pacific Coast of Tohoku Earthquake (M9.0) refined by means of seafloor geodetic data , 2012 .

[58]  Aditya Riadi Gusman,et al.  Source model of the great 2011 Tohoku earthquake estimated from tsunami waveforms and crustal deformation data , 2012 .

[59]  S. Kathiroli,et al.  Rupture process of the 2004 great Sumatra-Andaman earthquake estimated from tsunami waveforms , 2005 .