Abstract
We use a Spectral-Element Method implemented on the Earth Simulator in Japan to simulate broadband seismic waves generated by various 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. The method has been developed on a large PC cluster and optimized on the Earth Simulator. We perform numerical simulation of seismic wave propagation for a three-dimensional Earth model, which incorporates 3D variations in compressional wave velocity, shear-wave velocity and density, attenuation, anisotropy, ellipticity, topography and bathymetry, and crustal thickness. 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 for several large earthquakes and discuss future applications in seismological studies.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
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, France (1997)
Faccioli, E., Maggio, F., Paolucci, R., Quarteroni, A.: 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, France (2000)
Komatitsch, D., Tromp, J.: Spectral-element simulations of global seismic wave propagation-I. Validation.? Geophys. J. Int. 149, 390–412 (2002a)
Komatitsch, D., Tromp, J.: Spectral-element simulations of global seismic wave propagation-II. 3–D models, oceans, rotation, and self-gravitation. Geophys. J. Int. 150, 303–318 (2002b)
Komatitsch, D., Ritsema, J., Tromp, J.: The spectral-element method, Beowulf computing, and global seismology. Science 298, 1737–1742 (2002)
Ritsema, J., Van Heijst, H.J., Woodhouse, J.H.: Complex shear velocity struc-ture imaged beneath Africa and Iceland. Science 286, 1925–1928 (1999)
Bassin, C., Laske, G., Masters, G.: The current limits of resolution for surface wave tomography in North America. EOS Trans. AGU. Fall Meet. Suppl., Abstract S12A–03 81 (2000)
Dziewonski, A.M., Anderson, D.L.: Preliminary reference Earth model. Phys. Earth Planet. Inter. 25, 297–356 (1981)
Dahlen, F.A., Tromp, J.: Theoretical Global Seismology. Princeton Uni-versity Press, Princeton (1998)
Komatitsch, D., Vilotte, J.P.: 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., Tromp, J.: Introduction to the spectral-element method for 3–D seismic wave propagation. Geophys. J. Int. 139, 806–822 (1999)
Tsuboi, S., Komatitsch, D., Ji, C., Tromp, J.: Broadband modeling of the 2003 Denali fault earthquake on the Earth Simulator. Phys. Earth Planet. Int. 139, 305–312 (2003)
Komatitsch, D., Tsuboi, S., Ji, C., Tromp, J.: A 14.6 billion degrees of freedom, 5 teraflops, 2.5 terabyte earthquake simulation on the Earth Simulator. In: Proceedings of the ACM/IEEE SC2003 confenrence (published on CD-ROM) (2003)
Tono, Y., Kunugi, T., Fukao, Y., Tsuboi, S., Kanjo, K., Kasahara, K.: Mapping the 410- and 660-km discontinuities beneath the Japanese Islands. J. Geophys. Res. 110, B03307 (2005), doi:10.1029/2004JB003266
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tsuboi, S., Komatitsch, D., Ji, C., Tromp, J. (2008). Computations of Global Seismic Wave Propagation in Three Dimensional Earth Model. In: Labarta, J., Joe, K., Sato, T. (eds) High-Performance Computing. ISHPC ALPS 2005 2006. Lecture Notes in Computer Science, vol 4759. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77704-5_41
Download citation
DOI: https://doi.org/10.1007/978-3-540-77704-5_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77703-8
Online ISBN: 978-3-540-77704-5
eBook Packages: Computer ScienceComputer Science (R0)