A damping method for the computation of the 2.5-D Green's function for arbitrary acoustic media

Geophysical Journal International

Volumn 133, Issue 1, 1998, Pages 111-120

  Bing, Zhou ^a   Greenhalgh, Stewart ^a  

^a FLINDERS UNIVERSITY   (Australia)

Author keywords

2.5 D green's function; Damping method; Frequency domain; Full waveform inversion

Indexed keywords

ACOUSTIC WAVEFORM; GREEN'S FUNCTION;

EID: 0031844187     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1998.1331474.x     Document Type: Article

References (40)

1. Aki, K. & Richards, P.G., 1980. Quantitative Seismology, Theory and Methods, W.H. Freeman, San Francisco.
2. Bleisten, N., Jack, K. & Hagin, F.G., 1987. Two- and one-half dimensional Born inversion with an arbitrary reference. Geophysics, 52, 26-36.
3. Bracewell, R., 1978. The Fourier Transform, McGraw Hill, Tokyo.
4. Bracewell, R., 1986. The Hartley Transform. Oxford University Press, Oxford.
5. Cao, S. & Greenhalgh, S., 1997. 2.5-D acoustic wave modeling in the wavenumber-frequency domain, Expl. Geophys., 28, 11-15.
6. Cao, S. & Greenhalgh, S., 1998. Attenuating boundary conditions for numerical modeling of acoustic wave propagation, Geophysics, 63, 231-243.
7. Clayton, R.L. & Engquist, B., 1977. Absorbing boundary conditions for acoustic and elastic wave equations, Bull. seism. Soc. Am., 67, 1529-1540.
8. Deregowski, S.M. & Brown, S.M., 1983. A theory of acoustic diffractions applied to 2-D models, Geophys. Prospect., 31, 293-333.
9. Devaney, A.J., 1984. Geophysical diffraction tomography, Trans. IEEE, GE-22, 3-13.
10. Dey, A. & Morrison, H.F., 1979. Resistivity modeling for arbitrarily shaped two-dimensional structure, Geophys. Prospect., 35, 98-109.
11. Ewing, W.M., Jardetzky, W.S. & Press, F., 1957. Elastic Waves in Layered Media, McGraw-Hill, New York, NY.
12. Furumura, T. & Takenaka, H., 1996. A 2.5-D modeling of elastic waves using the pseudospectral method, Geophys. J. Int., 124, 820-832.
13. Gan, H., Ludwig, R. & Levin, P.L., 1994. Non-linear diffraction inverse scattering for multiple scatterers in inhomogeneous acoustic background media, J. acoust. Soc. Am., 97, 764-776.
14. Higdon, R.L., 1991. Absorbing boundary conditions for elastic waves, Geophysics, 56, 231-241.
15. Hughes, T.J.R., 1987. The Finite Element Method, Prentice-Hall, Englewood Cliffs, N.J.
16. Liner, C.L., 1991. Theory of a 2.5D acoustic wave equation for constant density media, Geophysics, 56, 2114-2117.
17. Luco, J.E., Wong, H.L. & De Barros, F.C.P., 1990. Three-dimensional response of a cylindrical canyon in a layered half-space, Earthq. Eng. Struct. Dyn., 19, 799-817.
18. Marfurt, K.J., 1984. Accuracy of finite difference and finite element modelling of scalar and elastic wave equations, Geophysics, 49, 533-549.
19. Mikhlim, 1964. Variational Methods in Mathematical Physics, Macmillan, Oxford.
20. Okamoto, T., 1994. Teleseismic synthetics obtained from 3-D calculations in 2-D media, Geophys J. Int., 118, 613-622.
21. Pedersen, H.A., Sánchez-Sesma, F.J. & Campillo, M., 1994. Three-dimensional scattering by two-dimensional topographies, Bull. seism. Soc. Am., 84, 1169-1183.
22. Pedersen, H.A., Maupin, V. & Campillo, M., 1996. Wave diffraction in multilayered media with the indirect boundary element method: application to 3-D diffraction of long-period surface waves by 2-D lithospheric structures, Geophys. J. Int., 125, 545-558.
23. Pratt, R.G. & Worthington, M.H., 1988. The application of diffraction tomography to crosshole seismic data, Geophysics, 53, 1284-1294.
24. Pratt, R.G. & Worthington, M.H., 1990. Acoustic wave equation inverse theory applied to multi-source cross-hole tomography, Part I, acoustic wave-equation method, Geophys. Prospect., 38, 287-310.
25. Press, W.H., Tenkolsky, S.A., Vetterling, W.T. & Flannery, B.P., 1986. Numerical Recipes in Fortran, the Art of Scientific Computation, Cambridge University Press, Cambridge.
26. Randall, C.J., 1991. Multipole acoustic waveforms in nonsymmetric boreholes and formations, J. acoustic. Soc. Am., 90, 1620-1631.
27. Reynolds, A.C., 1978. Boundary conditions for the numerical solution of wave propagation problems, Geophysics, 43, 1099-1110.
28. Sambridge, M.S., Tarantola, A. & Kennett, B.L.N., 1991. An alternative strategy for non-linear inversion of seismic waveform, Geophys. Prospect., 39, 723-736.
29. Serón, F.J., Badal, J. & Sabadell, F.J., 1996. A numerical laboratory for simulation and visualization of seismic wavefields, Geophys. Prospect., 44, 603-642.
30. Sochacki, J.R., Kubicheck, R., George, J., Fletcher, W.R. & Smitheson, S., 1987. Absorbing boundary conditions and surface wave, Geophysics, 52, 60-71.
31. Song, Z.M. & Williamson, P.R., 1995a. Frequency-domain acoustic wave modeling and inversion of crosshole data: Part 1 - 2.5D modeling, Geophysics, 60, 784-795.
32. Song, Z.M. & Williamson, P.R., 1995b. Frequency-domain acoustic wave modeling and inversion of crosshole data: Part 2 - inversion, Geophysics, 60, 784-795.
33. Takenaka, H. & Kennett, B.L.N., 1996a, A 2.5-D time-domain elastodynamic equation for plane-wave incidence, Geophys. J. Int., 125, F5-F9.
34. Takenaka, H. & Kennett, B.L.N., 1996b. A 2.5-D time-domain elastodynamic equation for a general anisotropic medium, Geophys. J. Int., 127, F1-F4.
35. Takenaka, H., Kennett, B.L.N. & Fujiwara, H., 1996. Effect of 2-D topography on the 3-D seismic wavefield using a 2.5-D discrete wavenumber-boundary integral equation method, Geophys. J. Int., 124, 741-755.
36. Tarantola, A., 1984. Inversion of seismic reflection data in the acoustic approximation, Geophysics, 49, 1259-1266.
37. Wu, R. & Toksöz, N., 1987. Diffraction tomography and multisource holography applied to seismic imaging, Geophysics, 52, 11-25.
38. Zhou, B. & Greenhalgh, S.A., 1998. Composite boundary-valued solution of 2.5-D Green's function for arbitrary acoustic media, Geophysics, in press.
39. Zhou, B., Greenhalgh, S.A. & Sinadinovski, C., 1992. Iterative algorithm for the damped minimum norm, least squares and constrained problem in seismic tomography, Expl. Geophys., 23, 497-505.
40. Zienkiewicz, 1971. The Finite Element Method in Engineering Science, McGraw-Hill, London.