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Effect of elastic inhomogeneity on the surface displacements in the northeastern Japan: Based on three-dimensional numerical modeling

Abstract

In geodetic inversions such as estimation of coseismic slip and/or afterslip distribution on faults, the displacements on the surface calculated under an assumption of homogeneous elastic half space have been mostly used as the Green’s functions (GF’s). However, this seems not adequate for better estimations of such slip distribution, because the subsurface structures are more or less inhomogeneous, especially those in and around Japan where the structure must be much complicated. In this study, to examine how much the inhomogeneous subsurface structure affects on the surface displacements, we conduct some 3-D finite element calculations with a grid for the region of 1400 km (EW) × 1200 km (NS) × 200 km (depth) including the Tohoku and Hokkaido, northeastern Japan. Assuming homogeneous and inhomogeneous elastic models with various values for the Young’s modulus and Poisson’s ratio, we calculated the surface displacements due to a dip-slip type dislocation of 1 m on many cell-like subfaults assumed on the interface between the Pacific and land side plates. Comparing the results, we find a large discrepancy in the surface displacements between the homogeneous and inhomogeneous elastic models and less dependency of the surface displacements on the Poisson’s ratio. The discrepancy is found to be more than 20% and can be as large as ~40% in some cases. Such a large discrepancy indicates that the surface displacements calculated for inhomogeneous elastic medium with realistic subsurface structure, unlike as in usual cases, should be used as the GF’s for better geodetic inversions.

References

  • Baba, T., K. Hirata, T. Hori, and H. Sakaguchi, Offshore geodetic data conductive to the estimation of the afterslip distribution following the 2003 Tokachi-oki earthquake, Earth Planet. Sci. Lett., 241, 281–292, 2006.

    Article  Google Scholar 

  • Dambara, T. and Y. Tomoda, Geodesy and Geophysics, 286pp, Kyoritsu-shuppan, Tokyo, 1969 (in Japanese).

    Google Scholar 

  • Hagiwara, Y., Effects of the Pacific and Philippine-Sea plates on the gravity field in central Japan, J. Geod. Soc. Japan, 32, 12–22, 1986 (in Japanese with English abstract).

    Google Scholar 

  • Hashimoto, M., Finite element modeling of deformations of the lithosphere at an arc-arc junction: The Hokkaido corner, Japan, J. Phys. Earth, 32, 373–398, 1984.

    Article  Google Scholar 

  • Hashimoto, M., Finite element modeling of the three-dimensional tectonic flow and stress field beneath the Kyushu island, Japan, J. Phys. Earth, 33, 191–226, 1985.

    Article  Google Scholar 

  • Heki, K., S. Miyazaki, and H. Tsuji, Silent fault slip following an interplate thrust earthquake at the Japan Trench, Nature, 386, 595–598, 1997.

    Article  Google Scholar 

  • Hirata, K., M. Aoyagi, H. Mikada, K. Kawaguchi, Y. Kaiho, R. Iwase, S. Morita, I. Fujisawa, H. Sugioka, K. Mitsuzawa, K. Suyehiro, H. Kinoshita, and N. Fujiwara, Real-time geophysical measurements on the deep seafloor using submarine cable in the southern Kurile subduction zone, IEEE J. Oceanic Eng., 27, 170–181, 2002.

    Article  Google Scholar 

  • Hyodo, M. and K. Hirahara, GeoFEM kinematic earthquake cycle simulation in southwest Japan, Pure Appl. Geophys., 161, 2069–2090, 2004.

    Article  Google Scholar 

  • Iizuka, M., D. Sekita, H. Suito, M. Hyodo, K. Hirahara, D. Place, P. Mora, O. Hazama, and H. Okuda, Parallel simulation system for earthquake generation: fault analysis modules and parallel coupling analysis, Concurrency Computat.: Pract. Exper., 14, 499–519, 2002.

    Article  Google Scholar 

  • Kanai, T., A. Makinouchi, and A. Nakagawa, Tectonic CAD system and the construction of 3D solid models of tectonic structures, 1999 Japan Earth and Planet. Sci. Joint Meeting, Dg-021, 1999 (in Japanese).

    Google Scholar 

  • Kanai, T., A. Makinouchi, and Y. Oishi, Development of tectonic CAD/database systems, Int. Workshop on Solid Earth Simulation and ACES WG Meeting, 2000.

    Google Scholar 

  • Kanai, T., Y. Oishi, A. Makinouchi, T. Homma, and T. Miyamura, CHIKAKU modeling system—Tectonic database/CAD software for predictions of earthquake generation and wave propagation—, Seismol. Soc. Japan 2005 Fall Meeting, P099, 2001 (in Japanese).

    Google Scholar 

  • Katsumata, K., N. Wada, and M. Kasahara, Newly imaged shape of the deep seismic zone within the subducting Pacific plate beneath the Hokkaido corner, Japan-Kurile arc-arc junction, J. Geophys. Res., 108, 2565, doi:10.1029/2002JB002175, 2003.

    Article  Google Scholar 

  • Kawachi, T. and K. Miyashita, 3-dimensional finite element modeling of the subduction and collision of the northernmost part of the Philippine Sea plate, Zisin (J. Seismol. Soc. Japan), 50, 229–240, 1997 (in Japanese with English abstract).

    Google Scholar 

  • Liu, H.-P., The structure of the Kurile trench-Hokkaido rise system computed by an elastic time-dependent plastic plate model incorporating rock deformation data, J. Geophys. Res., 85, 901–912, 1980.

    Article  Google Scholar 

  • Masterlark, T., Finite element model predictions of static deformation from dislocation sources in a subduction zone: Sensitivities to homogeneous, isotropic, Poisson-solid, and half-space assumptions, J. Geophys. Res., 108(B11), 2540, doi:10.1029/2002JB002296, 2003.

    Article  Google Scholar 

  • Masterlark, T., C. DeMets, and H. F. Wang, Homogeneous vs heterogeneous subduction zone models: Coseismic and postseismic deformation, Geophys. Res. Lett., 28, 4047–4050, 2001.

    Article  Google Scholar 

  • Miura, S., Y. Suwa, A. Hasegawa, and T. Nishimura, The 2003 M8.0 Tokachi-Oki earthquake—How much has the great event paid back slip debts?, Geophys. Res. Lett., 31, doi:10.1029/2003GL019021, 2004.

  • Miyamura, T., T. Kanai, Y. Oishi, K. Hirahara, T. Hori, M. Hyodo, A. Higashida, T. Hirayama, N. Kato, and A. Makinouchi, Mesh generation of crust structures of southwest Japan by using CHIKAKU system, Proc. Computat. Eng. Conf. of Japan Soc. Computat. Eng. Sci., 9, 521–524, 2004 (in Japanese with English abstract).

    Google Scholar 

  • Miyazaki, S., T. Sato, M. Sasaki, Y. Hatanaka, and Y. Iimura, Expansion of GSI’s GPS array, Bull. Geogr. Surv. Inst., 43, 23–36, 1997.

    Google Scholar 

  • Miyazaki, S., K. M. Larson, K. Choi, K. Hikima, K. Koketsu, P. Bodin, J. Haase, G. Emore, and A. Yamagiwa, Modeling the rupture process of the 2003 September 25 Tokachi-Oki (Hokkaido) earthquake using 1-Hz GPS data, Geophys. Res. Lett., 31, doi:10.1029/2004GL021457, 2004a.

  • Miyazaki, S., P. Segall, J. Fukuda, and T. Kato, Space time distribution of afterslip following the 2003 Tokachi-oki earthquake: Implications for variations in fault zone frictional properties, Geophys. Res. Lett., 31, doi:10.1029/2003GL019410, 2004b.

  • Nakajima, J., T. Matsuzawa, A. Hasegawa, and D. Zhao, Seismic imaging of arc magma and fluids under the central part of northeast Japan, Tectonophysics, 341, 1–17, 2001.

    Article  Google Scholar 

  • Oishi, Y., T. Miyamura, T. Kanai, K. Hirahara, T. Hori, and M. Hyodo, Hexahedral mesh generation of crust structure of south west Japan, 2004 Japan Earth and Planet. Sci. Joint Meeting, S044–P008, 2004 (in Japanese).

    Google Scholar 

  • Ozawa, S., M. Kaidzu, M. Murakami, T. Imakiire, and Y. Hatanaka, Co-seismic and postseismic crustal deformation after the Mw 8 Tokachi-oki earthquake in Japan, Earth Planets Space, 56, 675–680, 2004.

    Article  Google Scholar 

  • Sato, K., Stress and displacement fields in the northeastern Japan island arc as evaluated with three-dimensional finite element method and their tectonic interpretations, Sci. Rep. Tohoku Univ., Ser. 5, 31, 57–99, 1988.

    Google Scholar 

  • Sato, K., Numerical experiments on strain migration, J. Geod. Soc. Japan, 35, 27–36, 1989 (in Japanese with English abstract).

    Google Scholar 

  • Sato, K., H. Ishii, and A. Takagi, Characteristics of crustal stress and crustal movements in the northeastern Japan arc I: Based on the computation considering the crustal structure, Zisin (J. Seismol. Soc. Japan), 34, 551–563, 1981 (in Japanese with English abstract).

    Google Scholar 

  • Sato, K., S. C. Bhatia, and H. K. Guputa, Three-dimensional numerical modeling of deformation and stress in the Himalaya and Tibetan plateau with a simple geometry, J. Phys. Earth, 44, 227–254, 1996.

    Article  Google Scholar 

  • Suito, H. and K. Hirahara, Simulation of post-seismic deformations caused by the 1896 Riku-u earthquake, northeast Japan: Re-evaluation of the viscosity in the upper mantle, Geophys. Res. Lett., 26, 2561–2564, 1999.

    Article  Google Scholar 

  • Wald, D. J. and R. W. Graves, Resolution analysis of finite fault source inversion using one- and three-dimensional Green’s functions 2. Combining seismic and geodetic data, J. Geophys. Res., 106, 8767–8788, 2001.

    Article  Google Scholar 

  • Wessel, P. and W. H. F. Smith, New, improved version of generic mapping tools released, EOS Trans., 79, 579, 1998.

    Article  Google Scholar 

  • Yoshioka, S. and M. Hashimoto, The stress field induced from the occurrence of the 1944 Tonankai and the 1946 Nankaido earthquakes, and their relation to impending earthquakes, Phys. Earth Planet. Inter., 56, 349–370, 1989a.

    Article  Google Scholar 

  • Yoshioka, S. and M. Hashimoto, A quantitative interpretation on possible correlations between intraplate seismic activity and interplate great earthquakes along the Nankai trough, Phys. Earth Planet. Inter., 58, 173–191, 1989b.

    Article  Google Scholar 

  • Yoshioka, S. and H. Suzuki, Effects of three-dimensional inhomogeneous viscoelastic structures on quasi-static strain and stress fields associated with dislocation on a rectangular fault, Zisin (J. Seismol. Soc. Japan), 50, 277–289, 1997 (in Japanese with English abstract).

    Google Scholar 

  • Yoshioka, S., M. Hashimoto, and K. Hirahara, Displacement fields due to the 1946 Nankaido earthquake in a laterally inhomogeneous structure with the subducting Philippine sea plate—a three-dimensional finite element approach, Tectonophysics, 159, 121–136, 1989.

    Article  Google Scholar 

  • Zhao, D., S. Horiuchi, and A. Hasegawa, Seismic velocity structure of the crust beneath the Japan islands, Tectonophysics, 212, 289–301, 1992.

    Article  Google Scholar 

  • Zhao, D., A. Hasegawa, and H. Kanamori, Deep structure of Japan subduction zone as derived from local, regional and teleseismic events, J. Geophys. Res., 99, 22313–22329, 1994.

    Article  Google Scholar 

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Correspondence to Kachishige Sato.

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Sato, K., Minagawa, N., Hyodo, M. et al. Effect of elastic inhomogeneity on the surface displacements in the northeastern Japan: Based on three-dimensional numerical modeling. Earth Planet Sp 59, 1083–1093 (2007). https://doi.org/10.1186/BF03352051

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