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Rupture process by waveform inversion using simulated annealing and simulation of broadband ground motions
Earth, Planets and Space volume 57, pages 571–590 (2005)
Abstract
A source inversion method using very fast simulated annealing is proposed to estimate the earthquake rupture process, and associated radiation of broadband strong ground motions. We invert the displacement and velocity motions separately to estimate the spatio-temporal distributions of effective stress and moment. The developed method is applied to the near-source strong motions in the frequency range up to 5 Hz from the 1997 Izu-Hanto Toho-Oki earthquake (Mjma 5.9). Results of the displacement inversion indicate that for this earthquake the seismic moment is mainly released from the shallower region and the northern area from the hypocenter. Similar results are obtained from the velocity inversion, and the variation of the effective stress also exhibits a similar behavior to the moment distribution. Based on the inversion results, we propose a characterized source model that consists of the finite number of asperities and a background area with uniform effective stresses. The broadband ground motion simulation demonstrates that the characterized source model successfully reproduces the observed ground motions in spite of the simplification of actual (inverted) source process. This suggests our proposed inversion method and source characterization process are suitable for the strong-motion prediction that reflects the high-frequency radiation from an actual earthquake.
References
Aki, K., Scaling law of seismic spectrum, J. Geophys. Res., 72, 1217–1231, 1967.
Boatwright, J., The seismic radiation from composite models of faulting, Bull. Seism. Soc. Am., 78, 489–508, 1988.
Boore, D. M., Stochastic simulation of high frequency ground motion based on seismological models of radiated spectra, Bull. Seism. Soc. Am., 73, 1865–1894, 1983.
Brune, J., Tectonic stress and the spectra of seismic shear waves from earthquakes, J. Geophys. Res., 75, 4997–5009, 1970.
Brune, J., Correction, J. Geophys. Res., 76, 5002, 1971.
Claerbout, J. F. and F. Muir, Robust modeling with erratic data, Geophysics, 38, 826–844, 1973.
Das, S. and B. V. Kostrov, Inversion for seismic slip rate history and distribution with stabilizing constraints: Application to the 1986 Andreanof Islands earthquake, J. Geophys. Res., 95, 6899–6913, 1
Day, S. M., Three-dimensional finite difference simulation of fault dynamics; rectangular faults with fixed rupture velocity, Bull. Seism. Soc. Am., 72, 705–727, 1982.
Delous, B., P. Lundgren, J. Salichon, and D. Giardini, Joint inversion of InSAR and teleseismic data for the slip history of the 1999 Izmit (Turkey) earthquake, Geophys. Res. Lett., 27, 3389–3392, 2000.
Delous, B., D. Giardini, P. Lundgren, and J. Salichon, Jointinversion of InSAR, GPS, teleseismic, and strong-motion data for the spatial and temporal distribution of earthquake slip: Application to the 1999 Izmit Mainshock, Bull. Seism. Soc. Am., 92, 278–299, 2002.
Duijndam, A. J. W., Baysian estimation in seismic inversion. Part I: Principles, Geophysical Prospecting, 36, 878–898, 1988.
Eshelby, J. D., The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. Lond., A, 241, 376–396, 1957.
Fukuyama, E., Inversion for the rupture details of the 1987 east Chiba earthquake, Japan, using a fault model based on the distribution if relocated aftershocks, J. Geophys. Res., 96, 8205–8217, 1991.
Fukuyama, E. and K. Irikura, Heterogeneity of the 1980 Izu-Hanto-toho-Oki earthquake rupture process, Geophys. J. Int., 99, 711–722, 1989.
Fukuyama, E., M. Ishida, D. S. Dreger, and H. Kawai, Automated seismic moment tensor determination by using on-line broadband waveforms, Zisin 2 (J. Seism. Soc. Japan), 51, 149–156, 1998 (in Japanese with English abstract).
Geman, S. and D. Geman, Stochastic relaxation, Gibbs distribution, and the Bayesian restoration of images, IEEE Trans. Patt. Anal. Mach. Int., 6, 721–741, 1
Gibert, D. and J. Virieux, Electromagnetic imaging and simulated annealing, J. Geophys. Res., 96, 8057–8067, 1991.
Hartzell, S. H., Earthquake aftershocks as Green’s functions, Geophys. Res. Lett., 5, 1–4, 1978.
Hartzell, S. H. and T. H. Heaton, Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California earthquake, Bull. Seism. Soc. Am., 73, 1553–1583, 1983.
Hellweg, M. and J. Boatwright, Mapping the rupture process of moderate earthquakes by inverting accelerograms, J. Geophys. Res., 104, 7319–7328, 1999.
Holland, J. H., Adaptation in Natural and Artificial Systems, MIT Press, Cambridge, Massachusetts, 1975.
Horikawa, H., Earthquake doublet in Kagoshima, Japan: Rupture of asperities in a stress shadow, Bull. Seism. Soc. Am., 91, 112–127, 2001.
Ide, S., Source process of the 1997 Yamaguchi, Japan, earthquake analyzed in different frequency bands, Geophys. Res. Lett., 26, 1973–1976, 1999.
Ide, S., Complex source process and the interaction of moderate earthquakes during the earthquake swarm in the Hida-Mountains, Japan, 1998, Tectonophysics, 334, 35–54, 2001.
Ide, S. and M. Takeo, Determination of constitutive relations of fault slip based on seismic wave analysis, J. Geophys. Res., 102, 27379–27391, 1997.
Ihmlé, P. F., Monte Carlo slip inversion in the frequency domain: Application to the 1992 Nicaragua slow earthquake, Geophys. Res. Lett., 9, 913–916, 1996.
Ihmlé, P. F., and J. C. Ruegg, Source tomography by simulated annealing using broad-band surface waves and geodetic data: Application to the Mw=8.1 Chile 1995 event, Geophys. J. Int., 131, 146–158, 1997.
Ingber, L., Very fast simulated re-annealing, Mathl. Comput. Modelling, 12, 967–973, 1989.
Irikura, K., Semi-empirical estimation of strong ground motions during large earthquakes, Bull. Disas. Prev. Res. Inst., Kyoto Univ., 33, 63–104, 1983.
Irikura, K., Prediction of strong acceleration motions using empirical Green’s function, Proc. 7th Japan Conf. Earthq. Eng., 151–156, 1986.
Irikura, K., Recipe for predicting strong ground motion from future large earthquake, Annuals of Disas. Prev. Res. Inst., Kyoto Univ., 47, A, 2004 (in Japanese with English abstract).
Iwata, T. and K. Irikura, Source parameters of the 1983 Japan Sea earthquake sequence, J. Phys. Earth, 36, 155–184, 1988.
Japan Meteorological Agency, Seismic activity in and around the Izu Peninsula (Novenber, 1996–April, 1997), Rep. Coord. Comm. Earthq. Pred., 58, 229–238, 1997 (in Japanese).
Ji, C. D., J. Wald, and D. V. Helmberger, Source description of the 1999 Hector Mine, California, earthquake, Part I: Wavelet domain inversion theory and resolution analysis, Bull. Seism. Soc. Am., 92, 1192–1207, 2002a.
Ji, C. D., J. Wald, and D. V. Helmberger, Source description of the 1999 Hector Mine, California, earthquake, Part II: Complexity of slip history, Bull. Seism. Soc. Am., 92, 1208–1226, 2002b.
Kakehi, Y. and K. Irikura, Estimation of high-frequency wave radiation areas on the fault plane by the envelope inversion of acceleration seismograms, Geophys. J. Int., 125, 892–900, 1996.
Kamae, K. and K. Irikura, Source model of the 1995 Hyogo-ken Nanbu earthquake and simulation of near-source ground motion, Bull. Seism. Soc. Am., 88, 400–412, 1998.
Kanamori, H. and D. L. Anderson, Theoretical basis of some empirical relations in seismology, Bull. Seism. Soc. Am., 65, 1073–1095, 1975.
Kinoshita, S., Frequency-dependent attenuation of shear waves in the crust of southern Kanto area, Japan, Bull. Seismol. Soc. Am., 84, 1387–1396, 1994.
Kirkpatrick, S., C. D. Gelatt, and M. P. Vecchi, Optimization by simulated annealing, Science, 220, 671–680, 1983.
Liu, H. L. and D. V. Helmberger, The 23:29 aftershock of the 15 October 1979 Imperial Valley earthquake: More evidence for an asperity, Bull. Seism. Soc. Am., 75, 689–708, 1985.
Mai, P. M. and G. C. Beroza, Source scaling properties from finite-fault rupture models, Bull. Seism. Soc. Am., 90, 604–615, 2000.
Metropolis, N., A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of state calculations by fast computing machines, J. Chem. Phys., 21, 1087–1092, 1953.
Miyake, H., T. Iwata, and K. Irikura, Strong ground motion simulation and source modeling of the Kagoshima-ken Hokuseibu earthquakes of March 26 (Mjma 6.5) and May 13 (Mjma 6.3), 1997, using empirical Green’s function method, Zisin 2 (J. Seism. Soc. Japan), 51, 431–442, 1999 (in Japanese with English abstract).
Miyake, H., T. Iwata, and K. Irikura, Source characterization for broadband ground-motion simulation: Kinematic heterogeneous source model and strong motion generation area, Bull. Seism. Soc. Am., 93, 2531–2545, 2003.
Miyakoshi, K., T. Kagawa, H. Sekiguchi, T. Iwata, and K. Irikura, Source characterization of inland earthquakes in Japan using source inversion results, Proc. 12th World Conf. Earthq. Eng., 1850, 2000.
Mori, J. and S. Hartzell, Source inversion of the 1988 Upland, California, earthquake: Determination of a fault plane for a small event, Bull. Seism. Soc. Am., 80, 507–518, 1990.
Mosegaard, K. and A. Tarantola, Monte Carlo sampling of solutions to inverse problems, J. Geophys. Res., 100, 12431–12447, 1995.
Mosegaard, K. and P. D. Vestergaard, A simulated annealing approach to seismic model optimization with sparse prior information, Geophys. Prospect., 39, 599–611, 1991.
Nakahara, H., T. Nishimura, H. Sato, M. Ohtake, S. Kinoshita, and H. Hamaguchi, Broadband source rupture process of the 1998 Iwate Prefecture, Japan, earthquake as revealed from inversion analysis of seismic waveforms and envelopes, Bull. Seism. Soc. Am., 92, 1708–1720, 2002.
Okada, T., N. Umino, T. Matsuzawa, A. Hasegawa, and M. Kamiyama, Source processes of 15 September 1998 M5.0 Sendai, NE Japan, earthquake and its M3.8 foreshock by waveform inversion, Bull. Seism. Soc. Am., 91, 1607–1618, 2001.
Olson, A. H. and R. J. Aspel, Finite Faults and inverse theory with application to the 1979 Imperial Valley earthquake, Bull. Seism. Soc. Am., 72, 1969–2001, 1982.
Reeves, C. R., Modern Heuristic Techniques for Combinatorial Problems, McGraw-Hill, 1993.
Sekiguchi, H., K. Irikura, T. Iwata, Y. Kakehi, and M. Hoshiba, Minute locating of fault planes and source process of the 1995 Hyogo-ken Nanbu, Japan, earthquake from the waveform inversion of strong ground motion, J. Phys. Earth, 44, 473–487, 1996.
Somerville, P. G., K. Irikura, R. Graves, S. Sawada, D. Wald, N. Abrahamson, Y. Iwasaki, T. Kagawa, N. Smith, and A. Kowada, Characterizing crustal earthquake slip models for the prediction of strong ground motion, Seism. Res. Lett., 70, 59–80, 1999.
Takeo, M., Rupture process of the 1980 Izu-Hanto-Toho-Oki earthquake deduced from strong motion seismograms, Bull. Seism. Soc. Am., 78, 1074–1091, 1988.
Trifunac, M. D., A three dimensional dislocation model for the San Fernando, California earthquake of February 9, 1971, Bull. Seism. Soc. Am., 64, 149–172, 1974.
Wessel, P. and W. H. F. Smith, New version of the Generic Mapping Tools released, Eos Trans. Am. Geophys. Union, 76, 329, 1995.
Yamanaka, H., Application of simulated annealing to inversion of surface wave phase velocity—Comparison of performances between SA and GA inversions, Butsuri-Tansa a(Geophys. Explor.), 54, 197–206, 2001 (in Japanese with English abstract).
Yoshida, S. and K. Koketsu, Simultaneous inversion of waveform and geodetic data for rupture process of the 1984 Naganoken-Seibu, Japan, earthquake, Geophys. J. Int., 103, 355–362, 1990.
Zeng, Y., K. Aki, and T. Teng, Mapping of the high-frequency source radiation for the Loma Prieta earthquake, California, J. Geophys. Res., 98, 11981–11993, 1993.
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Shiba, Y., Irikura, K. Rupture process by waveform inversion using simulated annealing and simulation of broadband ground motions. Earth Planet Sp 57, 571–590 (2005). https://doi.org/10.1186/BF03351837
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DOI: https://doi.org/10.1186/BF03351837
Key words
- Waveform inversion
- simulated annealing
- empirical Green’s function
- effective stress
- characterized source model