2.5-D modeling of seismic wave propagation: Boundary condition, stability criterion, and efficiency

Geophysics

Volumn 63, Issue 6, 1998, Pages 2082-2090

  Cao, Shunhua ^a   Greenhalgh, Stewart ^b  

^a SCHLUMBERGER   (United States)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; WAVE TRANSMISSION; WAVELET TRANSFORMS;

SEISMIC WAVE PROPAGATION; TRAVELING WAVES;

SEISMIC PROSPECTING;

MODELING; PARAMETERIZATION; SEISMIC WAVE; WAVE PROPAGATION;

EID: 0032214948     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444501     Document Type: Article

References (31)

1. Bleistein, N., 1986, Two-and-one-half dimensional in-plane wave propagation: Geophys. Prosp., 34, 686-703.
2. Cao, S., and Greenhalgh, S., 1992, Finite-difference simulation of P-SV-wave propagation: A displacement-potential approach: Geophys. J. Int., 109, 525-535.
3. -1997, 2.5-D acoustic wave modelling in the frequency-wavenumber domain: Expl. Geophys., 28, 11-15.
4. -1998, Attenuating boundary conditions for numerical modeling of acoustic wave propagation: Geophysics, 63, 231-243.
5. Cerjan, C., Kosloff, D., Kosloff, R., and Reshef, M., 1985, A nonreflecting boundary condition for discrete acoustic and elastic wave equations: Geophysics, 50, 705-708.
6. Clayton, R., and Engquist, B., 1977, Absorbing boundary condition for acoustic and elastic wave equations: Bull., Seis. Soc. Am., 67, 1529-1540.
7. Dablain, M. A., 1986, The application of high-order differencing to the scalar wave equation: Geophysics, 51, 54-66.
8. Dey, A., and Morrison, H. F., 1979, Resistivity modeling for arbitrarily two-dimensional structures: Geophys. Prosp., 27, 106-136.
9. Drake, L. A., 1972, Rayleigh waves at continental boundary by the finite element method: Bull., Seis. Soc. Am., 62, 1259-1268.
10. Frankel, A., and Vidale, J., 1992, A three-dimensional simulation of seismic waves in the Santa Clara Valley, California, from a Loma Pricta aftershock: Bull., Seis. Soc. Am., 82, 2045-2074.
11. Furumura, T., and Takenaka, H., 1996, 2.5-D modelling of elastic waves using the pseudospectral method: Geophys. J. Internat., 124, 820-832.
12. Gazdag, J., 1981, Modeling of the acoustic wave equation with transform methods: Geophysics, 46, 854-859.
13. Geller, R. J., and Takeuchi, N., 1995, A new method for computing highly accurate DSM synthetic seismograms: Geophys. J. Internat., 123, 449-470.
14. Higdon, R. L., 1991, Absorbing boundary conditions for elastic waves: Geophysics, 56, 231-241.
15. Holberg, O., 1987, Computational aspects of the choice of operator and sampling interval for numerical differentiation in large-scale simulation of wave phenomena: Geophys. Prosp., 35, 629-655.
16. Israeli, M., and Orszag, S. A., 1981, Approximation of radiation boundary conditions: J. Comput. Phys., 41, 115-135.
17. Keys, R. G., 1985, Absorbing boundary conditions for acoustic media: Geophysics, 50, 892-902.
18. Kosloff, D., and Baysal, E., 1982, Forward modeling by a Fourier method: Geophysics, 47, 1402-1412.
19. Kosloff, R., and Kosloff, D., 1986, Absorbing boundaries for wave propagation problems: J. Comput. Phys., 63, 363-376.
20. Lindman, E. L., 1975, "Free-space" boundary conditions for the time dependent wave equation: J. Comput. Phys., 18, 66-78.
21. Liner, C. L., 1991, Theory of a 2.5 dimensional acoustic wave equation for constant density media: 61st Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1595-1597.
22. Lysmer, J., and Kuhlmeyer, R. L., 1969, Finite dynamic model for infinite media: J. Eng. Mech. Div., 95, 859-877.
23. Marfurt, K. J., 1984, Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations: Geophysics, 49, 533-549.
24. Mitchell, A. R., 1969, Computational methods in partial differential equations: John Wiley & Sons, Inc.
25. Mora, P., 1990, Modeling anisotropic seismic waves in 3-D: 59th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1039-1043.
26. Okamoto, T., 1994, Teleseismic synthetics obtained from 3-D calculations in 2-D media: Geophys. J. Internat., 118, 613-622.
27. Peng, C., and Toksoz, M. N., 1995, An optimal absorbing boundary condition for elastic wave modeling: Geophysics, 60, 296-301.
28. Randall, C. J., 1988, Absorbing boundary condition for the elastic wave equation: Geophysics, 53, 611-624.
29. Reynolds, A. C., 1978, Boundary conditions for the numerical solution of wave propagation problems: Geophysics, 43, 1099-1110.
30. Song, Z.-M., and Williamson, P. R., 1995, Frequency-domain acousticwave modeling and inversion of crosshole data: Part I - 2.5-D modeling method: Geophysics, 60, 784-795.
31. Stockwell, J. W., Jr., 1995, 2.5-D wave equations and high-frequency asymptotics: Geophysics, 60, 556-562.