Rough surface scattering: Comparison of various approximation theories for 2D SH waves

Bulletin of the Seismological Society of America

Volumn 95, Issue 2, 2005, Pages 646-663

  Fu, Li Yun ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATTENUATION; SCATTERING; SENSITIVITY ANALYSIS; SURFACE ROUGHNESS;

ROUGHNESS COMPONENTS; ROUGHNESS SCALES; SURFACE SCATTERING; TOPOGRAPHIC ROUGHNESS;

SEISMOLOGY;

S-WAVE; SCATTERING; SEISMIC ANISOTROPY; SEISMIC WAVE; TOPOGRAPHY;

EID: 20444388665     PISSN: 00371106     EISSN: None     Source Type: Journal    
DOI: 10.1785/0120040081     Document Type: Article

References (53)

1. Aki, K., and P. G. Richards (1980). Quantitative Seismology. Theory and Methods, W.H. Freeman, San Francisco.
2. Baumgardt, D. R. (1990). Investigation of teleseismic Lg blockage and scattering using regional arrays, Bull. Seism. Soc. Am. 80, 2261-2281.
3. Baumont, D., A. Paul, S. Beck, and G. Zandt (1999). Strong crustal heterogeneity in the Bolivian Altiplano as suggested by attenuation of Lg waves, J. Geophys. Res. 104, 20,287-20,305.
4. Bouchon, M. (1973). Effect of topography on surface motion, Bull. Seism. Soc. Am. 63, 615-632.
5. Bouchon, M. (1982). The complete synthesis of seismic crustal phases at regional distances, J. Geophys. Res. 82, 1735-1741.
6. Bouchon, M., C. A. Schultz, and M. N. Toksöz (1996). Effect of three-dimensional topography on seismic motion, J. Geophys. Res. 101, 5835-5846.
7. Campillo, M. (1987). Lg wave propagation in a laterally varying crust and the distribution of the apparent quality factor in Central France, J. Geophys. Res. 92, 12,604-12,614.
8. Campillo, M. (1990). Propagation and attenuation characteristics of the crustal phase Lg, Pure Appl. Geophys. 132, 1-19.
9. Campillo, M., B. Feignier, M. Bouchon, and N. Bethoux (1993). Attenuation of crustal waves across the Alpine range, J. Geophys. Res. 98, 1987-1996.
10. Chazalon, A., M. Campillo, R. Gibson, and E. Carreno (1993). Crustal wave propagation anomaly across the Pyrenean Range: Comparison between observations and numerical simulations, Geophys. J. Int. 115, 829-838.
11. Chen, X. F. (1990). Seismogram synthesis for multilayered media with irregular interfaces by global generalized reflection/transmission matrices method, part I: Theory of two-dimensional SH case, Bull. Seism. Soc. Am. 80, 1696-1724.
12. Chen, X. F. (1995). Seismogram synthesis for multilayered media with irregular interfaces by global generalized reflection/transmission matrices method, part II: Numerical test and applications to two-dimensional SH case, Bull. Seism. Soc. Am. 85, 1094-1106.
13. Chen, X. F. (1996). Seismogram synthesis for multi-layered media with irregular interfaces by the global generalized reflection/transmission matrices method, part III: Theory of 2-D P-SV case, Bull. Seism. Soc. Am. 86, 389-405.
14. Chernov, L. A. (1960). Wave Propagation in a Random Media, McGraw-Hill, New York.
15. Fan, G., and T. Lay (1998). Statistical analysis of irregular wave-guide influence on regional seismic discriminants in China, Bull. Seism. Soc. Am. 88, 74-88.
16. 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.
17. Fu, L. Y., and R. S. Wu (2001). A hybrid BE-GS method for modeling regional wave propagation, Pure Appl. Geophys. 158, 1251-1277.
18. Fu, L. Y., R. S. Wu, and M. Campillo (2002). Energy partition and attenuation of regional phases by random free surface, Bull. Seism. Soc. Am. 92, 1992-2007.
19. Gilbert, F., and L. Knopoff (1960). Seismic scattering from topographic irregularities, J. Geophys. Res. 65, 3437-3444.
20. Hartse, H., R. Flores, and P. Johnson (1998). Correcting regional seismic discriminants for path effects in western China, Bull. Seism. Soc. Am. 88, 596-608.
21. Hudson, J. A., R. F. Humphryes, I. M. Mason, and V. K. Kembhavi (1973). The scattering of longitudinal elastic waves at a rough free surface, J. Phys. D Appl. Phys. 6, 2174-2186.
22. Hudson, J. A., and J. R. Heritage (1981). The use of the Born approximation in seismic scattering problems, Geophys. J. R. Astr. Soc. 66, 221-240.
23. Ishimaru, A. (1978). Wave Propagation and Scattering in Random Media , Vol. 2, Academic Press, New York.
24. Jih, R. S. (1996). Waveguide effects of large-scale structural variation, anelastic attenuation, and random heterogeneity on SV Lg propagation: a finite-difference modeling study, in Proceedings of the 18th Annual Seismic Research Smposium on Monitoring a Comprehensive Test Ban Treaty, 182-194.
25. Kadinsky-Cade, K., M. Barazangi, J. Oliver, and B. Isacks (1981). Lateral variations of high-frequency seismic wave propagation at regional distances across the Turkish and Iranian Plateau, J. Geophys. Res. 86, 9377-9396.
26. Kaveh, M., M. Soumekh, and R. K. Muller (1981). A comparison of Born and Rytov approximation in acoustic tomography, Acoustic Imaging 11, 325-335.
27. Kennett, B. L. N. (1972). Seismic waves in laterally varying media, Geophys. J. R. Astr. Soc. 27, 310-325.
28. Kennett, B. L. N. (1984). Reflection operator methods for elastic waves. II-Composite regions and source problems, Wave Motion 6, 419-429.
29. Kennett, B. L. N. (1989). On the nature of regional seismic phases-I. Phase representations for Pn, Pg, Sn, Lg, Geophys. J. 98, 447-456.
30. Lee, J. J., and C. A. Langston (1983). Wave propagation in a three-dimensional circular basin, Bull. Seism. Soc. Am. 61, 1637-1653.
31. Levander, A. R. (1990). Seismic scattering near the Earth's surface, Pure Appl. Geophys. 132, 21-47.
32. Lo, T. W., M. N. Toksoz, S. H. Xu, and R. S. Wu (1988). Ultrasonic laboratory tests of geophysical tomographic reconstruction, Geophysics 53, 947-956.
33. McNamara, D. E., T. J. Owens, and W. R. Walter (1996). Propagation characteristics of Lg across the Tibetan plateau, Bull. Seism. Soc. Am. 86, 457-469.
34. Maupin, V. (1989). Numerical modeling of Lg wave propagation across the North Sea central graben, Geophys. J. Int. 99, 273-283.
35. Maupin, V., and B. L. N. Kennett (1987). On the use of truncated modal expansions in laterally varying media, Geophys. J. R. Astr. Soc. 91, 837-851.
36. Morse, P. M., and H. Feshbach (1953). Methods of Theoretical Physics , McGraw-Hill, New York.
37. Ni, J., and M. Barazangi (1983). High-frequency seismic wave propagation beneath the Indian Shield, Himalayan Arc, Tibetan Plateau and surrounding regions: high uppermost mantle velocities and efficient Sn propagation beneath Tibet, Geophys. J. R. Astr. Soc. 72, 665-689.
38. Ogilvy, J. A. (1991). Theory of Wave Scattering from Random Rough Surfaces, Adam Hilger, Bristol.
39. Phillips, W. S., G. E. Randall, and S. R. Taylor (1998). Path correction using interpolated amplitude residuals: an example from central China, Geophys. Res. Lett. 25, 2729-2732.
40. Ruzaikin, A. I., I. L. Nersesov, V. I. Khalturin, and P. Molnar (1977). Propagation of Lg and lateral variations in crustal structure in Asia, J. Geophys. Res. 82, 307-316.
41. Sabina, F. J., and J. R. Willis (1975). Scattering of SH waves by a rough half-space of arbitrary slope, Geophys. J. R. Astr. Soc. 42, 685-703.
42. Sánchez-Sesma, F. J., and M. Campillo (1991). Diffraction of P, SV and Rayleigh waves by topographic features: a boundary integral formulation, Bull. Seism. Soc. Am. 81, 2234-2253.
43. Sánchez-Sesma, F. J., and M. Campillo (1993). Topographic effects for incident P, SV and Rayleigh waves, Tectonophysics 218, 113-125.
44. Sánchez-Sesma, F. J., and J. Esquivel (1979). Ground motion on alluvial valleys under incident plane SH waves, Bull. Seism. Soc. Am. 69, 1107-1120.
45. Sato, H., and M. C. Fehler (2000). Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer, New York.
46. Snieder, R. (1986). The influence of topography on the propagation and scattering of surface waves, Phys. Earth Planet. Interiors 44, 226-241.
47. Waterman, P. C. (1975). Scattering by periodic surfaces, J. Acoust. Soc. Am. 57, 791-802.
48. Wu, R. S. (1982). Attenuation of short period seismic waves due to scattering, Geophys. Res. Lett. 9, 9-12.
49. Wu, R. S. (1989). The perturbation method for elastic wave scattering, Pure Appl. Geophys. 131, 605-637.
50. Wu, R. S., and K. Aki (1985). Elastic wave scattering by a random medium and the small-scale inhomogeneities in the Lithosphere, J. Geophys. Res. 90, 10,261-10,273.
51. Wu, R. S., and M. N. Toksöz (1987). Diffraction tomography and multi-source holography applied to seismic imaging, Geophysics 52, 11-25.
52. Xie, J., and H. Patton (1999). Regional phase excitation and propagation in the Lop Nor Region of central Asia and implications for the P/Lg discriminants, J. Geophys. Res. 104, 941-954.
53. Zhang, T. R., S. Y. Schwartz, and T. Lay (1994). Multivariate analysis of waveguide effects on short-period regional wave propagation in Eurasia and its application in seismic discrimination, J. Geophys. Res. 99, 21,929-21,945.