Backscattering from spherical elastic inclusions and accuracy of the Kirchhoff approximation for curved interfaces

Geophysical Journal International

Volumn 166, Issue 3, 2006, Pages 1249-1258

  Eaton, David W ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Elastic wave scattering; Kirchhoff approximation; Spherical inclusions

Indexed keywords

ALGORITHM; BACKSCATTER;

EID: 33747609596     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03047.x     Document Type: Article

References (28)

1. Aki, K. & Richards, P.G., 1980. Quantitative Seismology: Theory and Methods, 1st edn, Vol. 1, W.H. Freeman, New York.
2. Bleistein, N., 1984. Mathematical Methods for Wave Phenomena, Academic Press, Toronto, Canada.
3. Bostock, M.G., 2002. Kirchhoff-approximate inversion of teleseismic wavefields, Geophys. J. Int., 149, 787-795.
4. Clarke, G. & Eaton, D., 2003. Influence of morphology and surface roughness on the seismic response of massive sulfides, based on elastic-wave Kirchhoff modeling, in Hardrock Seismic Exploration, Vol. 10, pp. 45-58, eds Eaton, D., Milkereit, B. & Salisbury, M., Society of Exploration Geophysicists, Developments in Geophysics Series, Tulsa.
5. Duquet, B., Marfurt, K.J. & Dellinger, J.A., 2000. Kirchhoff modeling, inversion for reflectivity, and subsurface illumination, Geophysics, 65, 1195-1209.
6. Eaton, D., 1993. Finite-difference traveltime calculation for anisotropic media, Geophys. J. Int., 114, 273-280.
7. Frazer, L.N. & Sinton, J.B., 1984. A Kirchhoff method for the computation of finite-frequency body-wave synthetic seismograms in laterally inhomogeneous media, Geophys. J. R. astr. Soc., 78, 413-429.
8. Frazer, L.N. & Sen, M.K., 1985. Kirchhoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium - I. Theory, Geophys. J. R. astr. Soc., 80, 121-147.
9. Haddon, R.A.W. & Buchen, P.W., 1981. Use of Kirchhoff's formula for body wave calculations in the Earth, Geophys. J. R. astr. Soc., 67, 587-598.
10. Hilterman, F., 1970. Three-dimensional seismic modelling, Geophysics, 40, 745-762.
11. Hilterman, F., 1975. Amplitude of seismic waves: A quick look, Geophysics, 35, 1020-1037.
12. Jaramillo, H.H. & Bleistein, N., 1999. The link of Kirchhoff migration and demigration to Kirchhoff and Born modeling, Geophysics, 64, 1793-1805.
13. Kampfmann, W. & Muller, G., 1989. PcP amplitude calculations for a core-mantle boundary with topography, Geophys. Res. Lett., 16, 653-656.
14. Korneev, V.A. & Johnson, L.R., 1993, Scattering of elastic waves by a spherical inclusion - I. Theory and numerical results, Geophys. J. Int., 115, 230-250.
15. Liu, Y., Wu, R-S. & Ying, C.F., 2000. Scattering of elastic waves by an elastic or viscoelastic cylinder, Geophys. J. Int., 142, 439-460.
16. Neuberg, J. & Wahr, J., 1991. Detailed investigation of a spot on the core-mantle boundary using digital PcP data, Phys. Earth planet. Int., 68, 132-143.
17. Neuberg, J. & Pointer, T., 1995. Modelling seismic reflections from D″ using the Kirchhoff method, Phys. Earth planet. Int, 90, 273-281.
18. Neuberg, J. & Lisapaly, L., 1997. Kirchhoff synthetics for seismic reflections and diving waves in two dimensions and application to the D″ layer, Geophys. J. Int., 129, 587-596.
19. Pao, Y-H. & Mow, C.C., 1973. The Diffraction of Elastic Waves and Dynamic Stress Concentrations, Crane, Russak, New York.
20. Pao, Y-H. & Vartharajulu, V., 1976. Huygens' principle, radiation conditions, and integral formulas for the scattering of elastic waves, J. acoust. Soc., Am., 59, 1361-1371.
21. Raynaud, B., 1988. Diffraction modelling of 3-D lower-crustal reflectors, Geophys. J., 93, 149-161.
22. Scott, P. & Helmberger, D., 1983. Applications of the Kirchhoff-Helmholtz integral to problems in seismology, Geophys. J. R. astr. Soc., 72, 237-254.
23. Shearer, P.M., 1999. Introduction to seismology. Cambridge University Press, Cambridge, UK.
24. Spencer, C., Miller, D. & Haddon, R.A.W., 1994. A Kirchhoff Method for Calculating Synthetic Seismograms in 3D Models, Schlumberger Cambridge Research, Scientific Report.
25. Taner, M.T., Koehler, F. & Sheriff, R.E., 1979. Complex seismic trace analysis, Geophysics, 44, 1041-1063.
26. van der Lee, S., Paulssen, H. & Nolet, G., 1994. Variability of P660s phases as a consequence of topography of the 660 km discontinuity, Phys. Earth planet. Int., 86, 147-164.
27. Udías Vallina, A., 1999. Principles of seismology, Cambridge University Press, Cambridge.
28. Welford, J.K. & Clowes, R.M., 2006. 3-D seismic reflection investigation of the upper crustal Winagami sill complex of northwestern Alberta, Canada, Geophys. J. Int., 166, 155-169.