Wave propagation in irregularly layered elastic models: A boundary element approach with a global reflection/transmission matrix propagator

Bulletin of the Seismological Society of America

Volumn 97, Issue 3, 2007, Pages 1025-1031

  Ge, Zengxi ^a   Chen, Xiaofei ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE REFLECTION; ACOUSTIC WAVE TRANSMISSION; APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; CONJUGATE GRADIENT METHOD; FINITE DIFFERENCE METHOD; GREEN'S FUNCTION; WAVE PROPAGATION;

BLOCK GAUSSIAN ELIMINATION; ELASTIC WAVE PROPAGATION; GLOBAL MATRIX EQUATION;

ELASTIC WAVES;

BOUNDARY ELEMENT METHOD; ELASTIC WAVE; GREEN FUNCTION; SEISMIC REFLECTION; WAVE PROPAGATION;

EID: 34250800281     PISSN: 00371106     EISSN: None     Source Type: Journal    
DOI: 10.1785/0120060216     Document Type: Article

References (36)

1. Boore, D. M. (1972). A note on the effect of simple topography on seismic SH wave, Bull. Seism. Soc. Am. 62, 275-284.
2. Bouchon, M., C. A. Schultz, and M. N. Toksöz (1995). A fast implementation of boundary integral equation methods to calculate the propagation of seismic waves in laterally varying layered media, Bull. Seism. Soc. Am. 85, 1679-1687.
3. Cerverny, V. (1983). Synthetic body wave seismograms for laterally layered structures by the Gaussian beam method, Geophys. J. R. Astr. Soc. 73, 389-426.
4. Cerverny, V., I. A. Molotkov, and I. Psencik (1977). Ray Method in Seismology, Charles University Press, Prague.
5. Chapman, C. H., and R. Drummond (1982). Body wave seismograms in homogeneous media using Maslov asymptotic theory, Bull. Seism. Soc. Am. 72, 5277-5317.
6. Chen, X. F. (1990). Seismogram synthesis for multi-layered media with irregular interfaces by global reflection/transmission matrices method. I. Theory of 2-D SH case, Bull. Seism. Soc. Am. 80, 1696-1724.
7. Chen, X. F. (1995). Seismogram synthesis for multi-layered media with irregular interfaces by global reflection/transmission matrices method. II. Applications for two-dimensional SH case, Bull. Seism. Soc. Am. 85, 1094-1106.
8. Chen, X. F. (1996). Seismogram synthesis for multi-layered media with irregular interfaces by global reflection/transmission matrices method, III. Theory for P-SV case, Bull. Seism. Soc. Am. 86, 389-405.
9. Day, S. M. (1977). Finite element analysis of seismic scattering problems, Ph.D. Thesis, University of California, San Diego.
10. Dominguez, J. (1993). Boundary Elements in Dynamics, Computational Mechanics Publications/Elsevier, Southampton Amsterdam.
11. Frazer, L. N. (1987). Synthetic seismograms using multifold path integral, Part I. Theory, Geophys. J. R. Astr. Soc. 80, 621-646.
12. Frazer, L. N., and M. K. Sen (1985). Kirchoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic dedium, Part I: Theory, Geophys. J. R. Astr. Soc. 78, 413-429.
13. Fu, L. Y. (2002). Seismogram synthesis for piecewise heterogeneous media, Geophys. J. Int. 150, 800-808.
14. Fu, L. Y., and M. Bouchon (2004). Discrete wavenumber solutions to numerical wave propagation in piecewise heterogeneous media. I. Theory of two-dimensional SH case, Geophys. J. Int. 157, 481-498.
15. Fu, L. Y., and R. S. Wu (2004). Infinite boundary element absorbing boundary for wave propagation simulations, Geophysics 65, 625-637.
16. Fuchs, K., and G. Muller (1971). Computation of synthetic seismograms with reflectivity method and comparison with observations, Geophys. J. R. Astr. Soc. 23, 417-433.
17. Furumura, T., B.L.N. Kennett, and M. Furumura (1998). Seismic wavefield calculation for laterally heterogeneous whole earth models using the pseudospectral method, Geophys. J. Int. 135, 845-860.
18. Graves, R. W. (1996). Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences, Bull. Seism. Soc. Am. 86, 1091-1106.
19. Helmberger, D. V., and D. A. Harkrider (1978). Modeling earthquakes with generalized ray theory, in Modern Problems in Elastic Wave Propagation, Wiley, New York.
20. Kawase, H. (1988) Time-domain response of a semicircular canyon for incident SV, P and Rayleigh waves calculated by the discrete wavenumber boundary element method. Bull Seism. Soc. Am. 78, 1415-1437.
21. Kennett, B.L.N. (1983). Seismic Wave Propagation in Stratified Media, Cambridge University Press, New York.
22. Kim, J., and A. S. Papageorgiou (1993). Discrete wavenumber boundary-element method for 3-D scattering problems, J. Eng. Mech. ASCE 119, 603-624.
23. Koketsu, K., H. Fujiwara, and Y. Ikegami (2004). Finite-element simulation of seismic ground motion with a Voxel mesh, Pure Appl. Geophys. 161, 2183-2198.
24. Komititsch, D. (2000). Simulation of anisotropic wave propagation based upon a spectral element method, Geophysics 65, 1251-1260.
25. Komititsch, D., and J. Tromp (2002). Spectral-element simulations of global seismic wave propagation. I. Validation, Geophys. J. Int. 149, 390-412.
26. Komititsch, D., and J. P. Vilotte (1998). The spectral element method. An efficient tool to simulation the seismic response of 2D and 3D geological structure, Bull. Seism. Soc. Am. 88, 368-392.
27. Kosloff, D., and E. Baysal (1982). Forward modeling by a Fourier method, Geophysics 47, 1402-1412.
28. Kosloff, D., M. Reshef, and D. Loewenthal (1984). Elastic wave calculation by the Fourier method, Bull. Seism. Soc. Am. 74, 875-891.
29. Luco, J. E., and R. J. Apsel (1983). On the Green's functions for a layered half-space. Part I, Bull. Seism. Soc. Am. 73, 909-929.
30. Papageorgiou, A. S., and D. Pei (1998). A discrete wavenumber boundary element method for study of the 3-D response of 2-D scatterers, Earthquake Eng. Struct. Dyn. 27, 619-638.
31. Reinoso, E. (1994). Boundary element modelling of scattering from topographical structures with applications to the Mexico City valley, Ph.D. Thesis, Wessex Institute of Technology, University of Portsmouth, England.
32. Reinoso, E., L. C. Wrobel, and H. Power (1994). Preliminary results of the modelling of the Mexico City valley with two-dimensional boundary element method for the scattering of SH waves, Soil Dyn. Earthquake Eng. 12, 457-468.
33. Smith, W. D. (1975). The application of finite element analysis to body wave propagation problem., Geophys. J. R. Astr. Soc. 42, 747-768.
34. Wang, Y. B., H. Takenaka, and T. Furumura (2001). Modeling seismic wave propagation in a two-dimensional cyclindrical whole-earth model using pseudo-spectral method, Geophys. J. Int. 145, 689-708.
35. Yao, Z. X., and D. G. Harkrider (1983). A generalized reflection-transmission coefficient matrix and discrete wavenumber method for synthetic seismograms, Bull. Seism. Soc. Am. 73, 1685-1699.
36. Zhang, W., and X. Chen (2006). Traction image method for irregular free surface boundaries in finite difference seismic wave simulation, Geophys. J. Int. 167, no. 1, 337-353.