Triangle-quadrangle grid method for poroelastic, elastic, and acoustic wave equations

Journal of Computational Acoustics

Volumn 9, Issue 2, 2001, Pages 681-702

  Jianfeng, Zhang ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040488713     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X0100070X     Document Type: Article

References (26)

1. P. L. Baehmann, S. L. Wittchen, M. S. Shephard, K. R. Grice, and M. A. Yerry, "Robust geometrically based, automatic two-dimensional mesh generation," Int. J. num. Methods Eng. 24, 1043 (1987).
2. A. Bayliss, K. E. Jordan, B. J. LeMesurier, and E. Turkel, "A fourth-order accurate finite-difference scheme for the computation of elastic waves," Bull. Seism. Soc. Am. 76, 1115 (1986).
3. M. A. Biot, "Theory of propagation of elastic waves in a saturated porous solid, I. Low-frequency range," J. Acoust Soc. Am. 28, 168 (1956).
4. M. A. Biot, "Theory of propagation of elastic waves in a saturated porous solid, II. High-frequency range," J. Acoust. Soc. Am. 28, 179 (1956).
5. M. A. Biot, "Mechanics of deformation and acoustic propagation in porous media," J. Appl. Phys. 33, 1482 (1962).
6. C. Boutin, G. Bonnet, and P. Y. Bard, "Green functions and associated sources in infinite and stratified poroelastic media," Geophys. J. Roy. Astr. Soc. 90, 521 (1987).
7. J. M. Carcione, "Wave propagation in anisotropic, saturated porous media: Plane wave theory and numerical simulation," J. Acoust. Soc. Am. 99, 2655 (1996).
8. J. M. Carcione and G. Quiroga-Goode, "Full frequency-range transient solution for compressional waves in a fluid-saturated viscoacoustic porous medium," Geophysical Prospecting 44, 99 (1996).
9. J. M. Carcione and G. Quiroga-Goode, "Some aspects of the physics and numerical modeling of Biot compressional waves," J. Comput. Acoust. 3, 261 (1995).
10. N. Dai, A. Vafidis, and E. R. Kanasewich, "Wave propagation in heterogeneous, porous media: A velocity-stress, finite-difference method," Geophysics 60, 327 (1995).
11. H. Deresiewicz and R. Skalak, "On uniqueness in dynamic poroelasticity," Bull. Seism. Soc. Am. 53, 783 (1963).
12. S. Feng and D. L. Johnson," High-frequency acoustic properties of a fluid/porous solid interface: I. New surface modes," J. Acoust. Soc. Am. 74, 906 (1983).
13. S. Hassanzadeh, "Acoustic modeling in fluid saturated porous media," Geophysics 56, 424 (1991).
14. B. Joe and R. B. Simpson, "Triangular meshes for regions of complicated shape," Int. J. num. Methods Eng. 23, 751 (1986).
15. R. D. Kreig and S. W. Key, "Transient shock response by numerical time integration," Int. J. Num. Meth. Eng. 7, 273 (1973).
16. D. Kosloff and E. Basal, "Forward modeling by a Fourier method," Geophysics 47, 1402 (1982).
17. W. Menke, "On extending Biot's theory of multiple scattering at low frequencies from acoustic to elastic media," Geophys. J. 69, 819 (1982).
18. F. Muir, J. Dellinger, J. Etgen, and D. Nichols, "Modeling elastic fields across irregular boundaries," Geophysics 57, 1189 (1992).
19. A. N. Norris, "Radiation from a point source and scattering theory in a fluid-saturated porous solid," J. Acoust. Soc. Am. 77, 2012 (1985).
20. T. Ozdenvar and G. A. McMechan, "Algorithms for staggered-grid computations for poroelastic, elastic, acoustic, and scalar wave equations," Geophysical Prospecting 45, 403 (1997).
21. J. Virieux, "P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method," Geophysics 51, 889 (1986).
22. K. Wu, Q. Xue, and L. Adler, "Reflection and transmission of elastic waves from a fluid-saturated porous solid boundary," J. Acoust. Soc. Am. 87, 2349 (1990).
23. J. Zhang, "Quadrangle-grid velocity-stress finite-difference method for elastic-wave-propagation simulation," Geophys. J. Int. 131, 127 (1997).
24. J. Zhang and T. Liu, "P-SV-wave propagation in heterogeneous media: Grid method," Geophys. J. Int. 136, 431 (1999).
25. J. Zhang, "Quadrangle-grid velocity-stress finite difference method for poroelastic wave equations," Geophys. J. Int. 139, 171 (1999).
26. X. Zhu and G. A. McMechan, "Numerical simulation of seismic responses of poroelastic reservoirs using Biot theory," Geophysics 56, 328 (1991).