The effect of stochastic rough interfaces on coupled-mode elastic waves

Geophysical Journal International

Volumn 136, Issue 1, 1999, Pages 123-143

  Park, Minkyu ^a   Odom, Robert I ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC WAVE; INTERFACE; SEISMIC WAVE; WAVE SCATTERING;

EID: 0032901546     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00719.x     Document Type: Article

References (50)

1. Aki, K., 1969. Analysis of seismic coda of local earthquakes as scattered waves, J. geophys. Res., 74, 615-631.
2. Aki, K. & Chouet, B., 1975. Origin of coda waves: source, attenuation and scattering effects, J. geophys. Res., 80, 3322-3342.
3. Aki, K. & Richards, P.G., 1980. Quantitative Seismology, W. H. Freeman & Co., New York.
4. Backus, G.E. & Gilbert, F., 1970. Uniqueness in the inversion of inaccurate gross earth data, Phil. Trans. R. Soc. Lond., A266, 123-192.
5. Bahar, E., 1978. Full wave and physical optics solutions for scattered radiation fields by rough surfaces-energy and reciprocity relationships, IEEE Trans. Ant. Prop., AP-26, 603-614.
6. Bahar, E., 1980. Full wave solutions for scattered radiation fields from rough surfaces with arbitrary slope and frequency, IEEE Trans. Ant. Prop., AP-28, 11-21.
7. Bahar, E., 1990. Full wave solutions for the scattering of acoustic waves excited by arbitrary source distributions in irregular layered media, Wave Motion, 12, 301-314.
8. Bass, F.G. & Fuks, I.M., 1979. Wave Scattering from Statistically Rough Surfaces, Pergamon Press, Oxford.
9. Beckmann, P. & Spizzichino, A., 1963. The Scattering of Electromagnetic Waves from Rough Surfaces. Macmillan, New York.
10. Berge, P.A., Mallick, S., Fryer, G.J., Barstow, N., Carter, J.A., Sutton, G.H. & Ewing, J.I., 1991. In situ measurement of transverse isotropy in shallow-water marine sediments, Geophys. J. Int., 104, 241-254.
11. Burridge, R. & Knopoff, L., 1964. Body-force equivalents for seismic dislocations. Bull. seism. Soc. Am., 54, 1875-1888.
12. Chernov, L.A., 1960. Wave Propagation in a Random Medium. McGraw-Hill, New York.
13. Cohen-Tannoudji, C., Diu, B. & Laloë, F., 1977. Quantum Mechanics. Vol. I, Hermann and John Wiley & Sons, Paris.
14. DeSanto, J.A. & Brown, G.S., 1986. Analytical techniques for multiple scattering from rough surfaces, in Progress in Optics. Vol. XXIII, pp. 1-62. ed. Wolf, E., North-Holland, Amsterdam.
15. Frisch, V., 1968. Wave propagation in random media, in Probabilistic Methods in Applied Mathematics, Vol. 1. pp. 76-198. ed. Barucha-Reid, A.T., Academic Press, New York.
16. Gao. L.S., Lee, L.C., Biswas, N.N. & Aki, K., 1983a. Comparison of the effect between single and multiple scattering on coda waves for local earthquakes, Bull. seism. Soc. Am., 73, 377-390.
17. Gao, L.S., Biswas, N.N., Lee, L.C. & Aki, K., 1983b. Effects of multiple scattering on coda waves in a three-dimensional medium, Pure appl. Geophys., 121, 3-15.
18. Gilbert, F. & Backus, G., 1966. Propagator matrices in elastic wave and vibration problems, Geophysics, 31, 326-332.
19. Hoshiba, M., 1991. Simulation of multiple-scattered coda wave excitation based on the energy conservation law, Phys. Earth planet. Inter., 67, 46-54.
20. Ishimaru, A., 1978. Wave Propagation and Scattering in Random Media. Vol. 2. Academic, San Diego.
21. Kennett, B.L.N., 1983. Seismic Wave Propagation in Stratified Media. Cambridge University Press, Cambridge.
22. Kennett, B.L.N., 1984. Guided-wave propagation in laterally varying media I. Theoretical development, Geophys. J. R. astr. Soc., 79, 235-255.
23. Kopnichev, Y.F., 1977. The role of multiple scattering in the formation of a seismogram's tail, Izv. Acad. Sci. USSR Phys. Solid Earth, 13, 394-398.
24. Kuperman. W.A., 1975. Coherent component of specular reflection and transmission at a randomly rough two-fluid interface, J. acoust. Soc. Am., 86, 1511-1522.
25. Kuperman, W.A. & Schmidt, H., 1989. Self-consistent perturbation approach to rough surface scattering in stratified elastic media, J. acoust. Soc. Am., 86, 1511-1522.
26. Liu, J.-Y. Schmidt, H. & Kuperman, W.A., 1993. Effect of a rough seabed on the spectral composition of deep ocean infrasonic ambient noise. J. acoust. Soc. Am., 93, 753-769.
27. McDaniel, S.T. & McCammon, D.F., 1986. Effect of subbottom inhomogeneities on shallow water spatial coherence, in Ocean Seismo-Acoustics: Low-Frequency Underwater Acoustics. pp. 397-405. eds. Akal, T. & Berkson, J.M., Plenum Press, New York.
28. Marquering, H. & Snieder, R., 1995. Surface-wave mode coupling for efficient forward modelling and inversion of body-wave phases, Geophys. J. Int., 120, 186-208.
29. Maupin, V., 1988. Surface waves across 2-D structures: a method based on coupled local modes. Geophys. J., 93, 173-185.
30. Maupin, V. & Kennett, B.L.N., 1987. On the use of truncated modal expansion in laterally varying media, Geophys. J. R. astr. Soc., 91, 837-851.
31. Morse, P.M. & Feshbach, H., 1953. Methods of Theoretical Physics. Vol. I. McGraw-Hill, New York.
32. Nolet, G., 1987. Waveform tomography, in Seismic Tomography. pp. 301-322, ed. Nolet. G.D., Reidel, Hingham, MA.
33. Nolet, G., 1990. Partitioned waveform inversion and two dimensional structure under the network of autonomously recording seismographs. J. geophys. Res., 95, 8499-8512.
34. Odom, R.I., 1986. A coupled mode examination of irregular wave-guides including the continuum spectrum, Geophys. J. R. astr. Soc., 86, 425-453.
35. Ogilvy, J.A., 1991. Theory of Wave Scattering from Random Rough Surfaces, IOP, Bristol.
36. Park, M., 1997. Effects of anisotropy and lateral heterogeneities on elastic waves and mode coupling in shallow water. PhD thesis. University of Washington.
37. Park, M. & Odom, R.I., 1997. Effects of elastic heterogeneities and anisotropy on mode coupling and signals in shallow water. J. acoust. Soc. Am., 104, 747-757.
38. Rytov, S.M., Kravtsov, Yu.A. & Tatarskii, V.I., 1987. Principles of Statistical Radiophysics Vol. 1: Elements of Random Process Theory, Springer-Verlag, Berlin.
39. Rytov, S.M., Kravtsov, Yu.A. & Tatarskii, V.I., 1989. Principles of Statistical Radiophysics Vol. 4: Wave Propagation through Random Media, Springer-Verlag, New York.
40. Sato, H., 1977. Energy propagation including scattering effects: single isotropic scattering approximation, J. Phys. Earth., 25, 27-41.
41. Sato, H., 1984. Attenuation and envelope formation of three-component seismograms of local earthquakes in randomly inhomogeneous lithosphere, J. geophys. Res., 89, 1221-1241.
42. Scherbaum, F. & Sato, H., 1991. Inversion of full seismogram envelopes based on the parabolic approximation: estimation of randomness and attenuation in southeast Honshu, Japan, J. geophys. Res., 96, 2223-2232.
43. Schreiner, A.E. & Dorman, L.M., 1990. Coherence lengths of seafloor noise: effect of ocean bottom structure, J. acoust. Soc. Am., 88, 1503-1514.
44. Schultz, C.A. & Toksöz, M.N. 1993. Enhanced backscattering of seismic waves from a highly irregular, random interface: SH case, Geophys. J. Int., 114, 91-102.
45. Schultz, C.A. & Toksöz, M.N. 1994. Enhanced backscattering of seismic waves from a highly irregular, random interface: P SV case, Geophys. J. Int., 117, 783-810.
46. Shilov, G.E., 1977. Linear Algebra, Dover, New York.
47. Sobczyk, K., 1984. Stochastic Wave Propagation, Elsevier, New York.
48. Wang, C-Y. & Hermann, R.B., 1988. Synthesis of coda waves in layered medium, Pageoph. 128, 7-42.
49. Woodhouse, J.H., 1974. Surface waves in a laterally varying layered structure, Geophys. J. R. astr. Soc., 37, 461-490.
50. Wu, R.-S., 1985. Multiple scattering and energy transfer of seismic waves separation of scattering effect from intrinsic attenuation I. Theoretical modelling. Geophys. J. R. astr. Soc., 82, 57-80.