Numerical Verification Criteria for Coseismic and Postseismic Crustal Deformation Analysis with Large-scale High-fidelity Model

Abstract Numerical verification of postseismic crustal deformation analysis, computed using a large-scale finite element simulation, was carried out, by proposing new criteria that consider the characteristics of the target phenomenon. Specifically, pointwise displacement was used in the verification. In addition, the accuracy of the numerical solution was explicitly shown by considering the observation error of the data used for validation. The computational resource required for each analysis implies that high- performance computing techniques are necessary to obtain a verified numerical solution of crustal de- formation analysis for the Japanese Islands. Such verification in crustal deformation simulations should take on greater importance in the future, since continuous improvement in the quality and quantity of crustal deformation data is expected.

[1]  F. D. Martin,et al.  Verification of a Spectral-Element Method Code for the Southern California Earthquake Center LOH.3 Viscoelastic Case , 2011 .

[2]  Michihiro Ohori,et al.  Dense Ocean Floor Network for Earthquakes and Tsunamis; DONET/ DONET2, Part2 -Development and data application for the mega thrust earthquakes around the Nankai trough- , 2009 .

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

[4]  Arthur Raefsky,et al.  A simple and efficient method for introducing faults into finite element computations , 1981 .

[5]  Motoyuki Kido,et al.  Prevalence of viscoelastic relaxation after the 2011 Tohoku-oki earthquake , 2014, Nature.

[6]  Masaya Matsuura,et al.  Geodetic data inversion using a Bayesian information criterion for spatial distribution of fault slip , 1992 .

[7]  Matthew G. Knepley,et al.  A domain decomposition approach to implementing fault slip in finite‐element models of quasi‐static and dynamic crustal deformation , 2013, ArXiv.

[8]  John G. Anderson,et al.  QUANTITATIVE MEASURE OF THE GOODNESS-OFFIT OF SYNTHETIC SEISMOGRAMS , 2002 .

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

[10]  Mallory Young,et al.  High‐frequency ambient noise tomography of southeast Australia: New constraints on Tasmania's tectonic past , 2011 .

[11]  John Z. Lou,et al.  Geophysical Finite-Element Simulation Tool (GeoFEST): Algorithms and Validation for Quasistatic Regional Faulted Crust Problems , 2008 .

[12]  Yukitoshi Fukahata,et al.  Quasi-static internal deformation due to a dislocation source in a multilayered elastic/viscoelastic half-space and an equivalence theorem , 2006 .

[13]  P. Roache QUANTIFICATION OF UNCERTAINTY IN COMPUTATIONAL FLUID DYNAMICS , 1997 .

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

[15]  T. Hughes,et al.  Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .

[16]  Chihiro Hashimoto,et al.  3-D Modelling of Plate Interfaces and Numerical Simulation of Long-term Crustal Deformation in and around Japan , 2004 .