Advertisement

Pure and Applied Geophysics

, Volume 172, Issue 12, pp 3439–3453 | Cite as

Rapidness and Robustness of Finite-Source Inversion of the 2011 Mw 9.0 Tohoku Earthquake by an Elliptical-Patches Method Using Continuous GPS and Acceleration Data

  • Thomas UlrichEmail author
  • Hideo Aochi
Article

Abstract

The kinematic rupture process of the 2011 Mw 9.0 Tohoku earthquake is inverted with an elliptical-patches method, using a genetic algorithm, for the purpose of rapid and robust estimation of the source parameters of a mega-earthquake. We use the ground-displacement field provided by a continuous GPS network and the ground-velocity field recorded by acceleration networks. In addition to the typical inversion procedure in which a data duration long enough to cover the whole rupture process is used, inversions based on shorter signals, giving an incomplete view over the ground shaking sequence, are also carried out. How fast can a robust estimation of the source parameters be obtained? Using the elliptical approximation, we find that robust solutions of Mw ~ 9.0-earthquakes are rather quickly obtained regardless of the frequency band and the elliptical patch description. It is also confirmed that, because of the absence of off-shore recording stations on the east side of the fault, some uncertainties in the rupture process cannot be completely removed. In fact, at the very low frequencies considered, the western part of the fault (deeper portion) contributes more significantly to the recorded signals than does the other end close to the trench. This problem also prevents refinement of the description of the rupture process, in particular when using more than one ellipse.

Keywords

Kinematic inversion Tohoku Elliptical patch method 

Notes

Acknowledgments

We thank Prof. Takuya Nishimura for providing us GPS data in the framework of the French-Japanese ANR-JST joint program DYNTOHOKU (2011–2013). We used the data from the National Institute for Earth Science and Disaster Prevention, Japan and Geospatial Information Authority of Japan. Discussions with Prof Raul Madariaga and Dr. Sergio Ruiz were very fruitful. This is a contribution to the French national project S4 (Subduction: Slow & Standard Seismology, 2012-2014, ANR-2011-BS56-017) supported by the Agence National de la Recherche. We also benefit from funding from the European Seventh Framework Programme project MARsite for the methodology development. Some calculations were carried out at the French national supercomputing centre GENCI-CINES (Grant c2013-046700). Finally, we thank two anonymous reviewers for their careful comments on an earlier version of this article and John Douglas for proofreading.

References

  1. Aki, K. (1979), Characterization of barriers of an earthquake fault, J. Geophys. Res., 84, 6140–6148.Google Scholar
  2. Aochi, H. and S. Ide (2011), Conceptual multi-scale dynamic rupture model for the 2011 Off-the-Pacific-Coast-of-Tohoku earthquake, Earth Planets Space, 63, 761–765.Google Scholar
  3. Bouchon, M. (1981), A simple method to calculate Green’s functions for elastic layered media, Bull. Seismol. Soc. Am. 71, 959–971.Google Scholar
  4. Colombelli, S., A. Zollo, G. Festa and H. Kanamori (2012), Early magnitude and potential damage zone estimates for the great Mw 9 Tohoku-Oki earthquake, Geophys. Res. Lett., 39, L22306, doi: 10.1029/2012GL053923.
  5. Di Carli, S., C. Francois-Holden, S. Peyrat, and R. Madariaga (2010), Dynamic inversion of the 2000 Tottori earthquake based on elliptical subfault approximations, J. Geophys. Res. 115, B12328, doi:  10.1029/2009JB006358.
  6. Geller, R. J. (2011), Shake-up time for Japanese seismology, Nature, 472, 407–409, doi: 10.1038/nature10105.
  7. Goldberg, D. (1989), Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley Professional, ISBN 978-0201157673.Google Scholar
  8. Hartzell, S. H. and T. H. Heaton (1983), Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California, earthquake, Bull. Seismol. Soc. Am., 73, 1553–1583.Google Scholar
  9. Hashimoto, C., A. Noda, T. Sagiya and M. Matsu’ura (2009) Interplate seismogenic zones along the Kuril–Japan trench from GPS data inversion. Nature Geosci. 2, 141–144.Google Scholar
  10. Hoshiba, M., K. Iwakiri, N. Hayashimoto, T. Shimoyama, K. Hirano, Y. Yamada, Y. Ishigaki and H. Kikuta (2011), Outline of the 2011 off the Pacific coast of Tohoku Earthquake (Mw9.0)—Earthquake Early Warning and observed seismicity intensity, Earth Planets Space, 63, 547–551.Google Scholar
  11. Ide, S. and H. Aochi (2013), Historical seismicity and dynamic rupture process of the 2011 Tohoku-Oki earthquake, Tectonophys., 600, 1–13, doi: 10.1016/j.bbr.2011.03.031.
  12. Ide, S. and H. Aochi (2005), Earthquakes as multiscale dynamic ruptures with heterogeneous fracture surface energy, J. Geophys. Res., 110, B11303, doi: 10.1029/2004JB003591.
  13. Ide, S., A. Baltay and G.C. Beroza (2011), Shallow dynamic overshoot and energetic deep rupture in the 2011 Mw 9.0 Tohoku-Oki earthquake. Science 332, 1426–1429, doi: 10.1126/science.1207020
  14. Irikura, K., and H. Miyake (2010), Recipe for predicting strong ground motion from crustal earthquake scenarios, Pure Appl. Geophys., 168, 85–104, doi: 10.1007/s00024-010-0150-9.
  15. Kamae, K., K. Irikura and A. Pitarka (1998), A technique for simulating strong ground motion using hybrid Green’s function, Bull. Seism. Soc. Am., 88, 357–367.Google Scholar
  16. Kanamori, H. and G.S. Stewart (1978), Seismological aspects of the Guatemala earthquake of February 4, 1976, J. Geophys. Res., 83, 3427–3434.Google Scholar
  17. Kurahashi, S. and K. Irikura (2011), Source model for generating strong ground motions during the 2011 off the Pacific coast of Tohoku earthquake, Earth Planets Space, 63, 571–576.Google Scholar
  18. Koketsu, K., Yokota, Y., Nishimura, N., Yagi, Y., Miyazaki, S., Satake, K., Fujii, Y., Miyake, H., Sakai, S., Yamanaka, Y. and Okada, T. (2011), A unified source model for the 2011 Tohoku earthquake. Earth and Planetary Science Letters 310 (3–4), 480–487, doi: 10.1016/j.epsl.2011.09.009.
  19. Mai, P. M. (2013), Uncertainty quantification in earthquake source inversions: The Source Inversion Validation (SIV) project, Geophys. Res. Abst., 15, EGU2013-3596.Google Scholar
  20. Mai, P.M., and G.C. Beroza (2003), A hybrid method for calculating near-source, broadband seismograms from an extended source, Phys. Earth Planet. Int., 137, 183–199.Google Scholar
  21. Nishimura, T., T. Hirasawa, S. Miyazaki, T. Sagiya, T. Tada, S. Miura and K. Tanaka (2004), Temporal change of interplate coupling in northeastern Japan during 1995–2002 estimated from continuous GPS observations. Geophys. J. Int. 157, 901–916Google Scholar
  22. Ozawa, S., T. Nishimura, H. Suito, T. Kobayashi, M. Tobita, and T. Imakiire (2011), Coseismic and postseismic slip of the 2011 magnitude-9 Tohoku-Oki earthquake, Nature, 475, 373–376, doi: 10.1038/nature10227.
  23. Ruiz, S., Madariaga, R., Astroza, M., Saragoni, G.R., Lancieri, M., Vigny, C., and Campos, J. (2012), Short period rupture process of the 2010 Mw 8.8 Maule earthquake in Chile, Earthquake Spectra 28 Issue S1Google Scholar
  24. Ruiz, S. and R. Madariaga (2011), Determination of the friction law parameters of the Mw 6.7 Michilla earthquake in northern Chile by dynamic inversion, Geophys. Res. Lett., 38, L09317, doi: 10.1029/2011GL047147.
  25. Ruiz, S. and R. Madariaga (2013), Kinematic and dynamic inversion of the 2008 Northern Iwate earthquake. Bull. Seismol. Soc. Am., 103, 694–708.Google Scholar
  26. Sambridge, M. (1999), Geophysical inversion with a Neighbourhood Algorithm, Searching a parameter space, Geophys. J. Int. 138, 479–494.Google Scholar
  27. Simons, M., S. E. Minson, A. Sladen, F. Ortega, J. Jiang, S. E. Owen, L. Meng, J.-P. Ampuero, S. Wei, R. Chu, D. V. Helmberger, H. Kanamori, E. Hetland, A. W. Moore and F. H. Webb (2011), The 2011 Magnitude 9.0 Tohoku-oki earthquake: Mosaicking the megathrust from seconds to centuries, Science, 332, 1421, doi: 10.1126/science.1206731.
  28. Suzuki, W., S. Aoi, H. Sekiguchi, and T. Kunugi (2011), Rupture process of the 2011 Tohoku-Oki mega-thrust earthquake (M9.0) inverted from strong-motion data, Geophysical Research Letters 38, L00G16, doi: 10.1029/2011GL049136.
  29. Vallée, M., and M. Bouchon (2004), Imaging coseismic rupture in far field by slip patches, Geophys. J. Int., 156, 615–630.Google Scholar
  30. Wright, T. J., N. Houlié, M. Hildyard, and T. Iwabuchi (2012), Real-time, reliable magnitudes for large earthquakes from 1 Hz GPS precise point positioning: The 2011 Tohoku-Oki (Japan) earthquake, Geophys. Res. Lett., 39, L12302, doi: 10.1029/2012GL051894.

Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Seismic and Volcanic Risks Unit (RSV), Risks and Prevention Division (DRP)Bureau de Recherches Géologiques et Minières (BRGM)Orléans Cedex 2France

Personalised recommendations