Abstract
Earthquakes are very large scale ruptures inside the Earth and generate elastic waves, known as seismic waves, which propagate inside the Earth. We use a Spectral-Element Method implemented on the Earth Simulator in Japan to calculate seismic waves generated by recent large earthquakes. The spectral-element method is based on a weak formulation of the equations of motion and has both the flexibility of a finite-element method and the accuracy of a pseudospectral method. We perform numerical simulation of seismic wave propagation for a fully three-dimensional Earth model, which incorporates realistic 3D variations of Earth’s internal properties. The simulations are performed on 4056 processors, which require 507 out of 640 nodes of the Earth Simulator. We use a mesh with 206 million spectral-elements, for a total of 13.8 billion global integration grid points (i.e., almost 37 billion degrees of freedom). We show examples of simulations and demonstrate that the synthetic seismic waves computed by this numerical technique match with the observed seismic waves accurately.
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References
Komatitsch, D.: Spectral and spectral-element methods for the 2D and 3D elasto-dynamics equations in heterogeneous media, PhD thesis, Institut de Physique du Globe, Paris (1997)
Faccioli, E., F. Maggio, R. Paolucci, A. Quarteroni,: 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method. J. Seismol., 1, 237–251 (1997)
Seriani, G.: 3-D large-scale wave propagation modeling by a spectral element method on a Cray T3E multiprocessor. Comput. Methods Appl. Mech. Engrg., 164, 235–247 (1998)
Chaljub, E.: Numerical modelling of the propagation of seismic waves in spherical geometry: applications to global seismology. PhD thesis, Universit Paris VII Denis Diderot, Paris (2000)
Komatitsch, D., J. Tromp: Spectral-element simulations of global seismic wave propagation-I. Validation. Geophys. J. Int. 149, 390–412 (2002)
Komatitsch, D, J. Tromp: Spectral-element simulations of global seismic wave propagation-II. 3-D models, oceans, rotation, and self-gravitation. Geophys. J. Int. 150, 303–318 (2002)
Komatitsch, D., J. Ritsema, J. Tromp: The spectral-element method, Beowulf computing, and global seismology. Science, 298, 1737–1742 (2002)
Ritsema, J., H. J. Van Heijst, J. H. Woodhouse: Complex shear velocity struc-ture imaged beneath Africa and Iceland. Science 286, 1925–1928 (1999)
Bassin, C., G. Laske, G. Masters: The current limits of resolution for surface wave tomography in North America. EOS Trans. AGU. 81: Fall Meet. Suppl., Abstract S12A–03 (2000)
Dziewonski, A. M., D. L. Anderson: Preliminary reference Earth model. Phys. Earth Planet. Inter. 25, 297–356 (1981)
Dahlen, F. A., J. Tromp: Theoretical Global Seismology. Princeton University Press, Princeton (1998)
Komatitsch, D., J. P. Vilotte: The spectral-element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bull. Seismol. Soc. Am. 88, 368–392 (1998)
Komatitsch, D., J. Tromp: Introduction to the spectral-element method for 3-D seismic wave propagation. Geophys. J. Int. 139, 806–822 (1999)
Tsuboi, S., D. Komatitsch, C. Ji, J. Tromp: Broadband modeling of the 2003 Denali fault earthquake on the Earth Simulator, Phys. Earth Planet. Int., 139, 305–312 (2003)
Komatitsch, D., S. Tsuboi, C. Ji, J. Tromp: A 14.6 billion degrees of freedom, 5 teraflops, 2.5 terabyte earthquake simulation on the Earth Simulator, Proceedings of the ACM/IEEE SC2003 confenrence, published on CD-ROM, (2003)
Tono, Y., T. Kunugi, Y. Fukao, S. Tsuboi, K. Kanjo, K. Kasahara: Mapping the 410-and 660-km discontinuities beneath the Japanese Islands. J. Geophys. Res., 110, B03307, doi:10.1029/2004JB003266 (2005)
Zhang, J., X. Song, Y. Li, P. G. Richards, X. Sun, F. Waldhauser: Inner core differential motion confirmed by earthquake waveform doublets. Science, 309, 1357–1360 (2005)
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Tsuboi, S. (2008). Sustained Performance of 10+ Teraflop/s in Simulation on Seismic Waves Using 507 Nodes of the Earth Simulator. In: Resch, M., Roller, S., Lammers, P., Furui, T., Galle, M., Bez, W. (eds) High Performance Computing on Vector Systems 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74384-2_1
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DOI: https://doi.org/10.1007/978-3-540-74384-2_1
Publisher Name: Springer, Berlin, Heidelberg
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