Modelling of seismic wave propagation in heterogeneous poroelastic media using a high-order staggered finite-difference method

Acta Geophysica Sinica

Volumn 46, Issue 6, 2003, Pages 842-849

  Wang, Xiuming ^a   Zhang, Hailan ^b   Wang, Dong ^b  

^a CSIRO   (Australia)

^b INSTITUTE OF ACOUSTICS   (China)

Author keywords

Finite difference; Heterogeneous media; Modelling; Poroelastic; Seismic wave propagation; Staggered

Indexed keywords

ALGORITHM; FINITE DIFFERENCE METHOD; HYDROCARBON RESERVOIR; NUMERICAL MODEL; POROELASTICITY; SEISMIC WAVE; WAVE PROPAGATION;

EID: 2342426421     PISSN: 00015733     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. Parra J O. Poroelastic model to relate seismic wave attenuation and dispension to permeability anisotrophy. Geophysics, 2000, 65(1): 202-210
2. Schmitt D P. Acoustic multipole logging in transversely isotropic poroelastic formations. J. Acoust. Soc. A. 1989,. 86: 2397-2421
3. Carcione J M, Quiroga-Goode G. Full firequency-range transient solution for P- waves in a fluid-saturated viscoacoustic porous medium. Geophysical Prospecting, 1996,44: 99-129
4. Collins M D, Lingvetch J F, Siegmann W. Wave propagation in poroacoustic media. Wave motion, 1997,25(3) : 262-272
5. Diallo M S, Appel E. Acoustic wave propagation in saturated porous media: reformulation of the Biot/ Squirt flow theory. J. of Applied Geophysics, 2000,44(4) : 313-325
6. Zhu X, McMechan G A. Numenral simulation of seismic responses of poroelastic reservoirs using Biot theory. Geophysics, 1990, 56(3): 328-339
7. Dai N, Vafidis A, Kanasewich E R. Wave propagation in heterogeneous, porous media: A velocity-stress, finite-difference method. Geophyics, 1995, 60(2): 327-340
8. Atalla N, Panneton R, Debergue P. A mixed Displacement-pressure formulation for Biot's poroelastic equation. J. Acoust. Soc. Am., 1996, 104: 1444-1452
9. Panneton R, Atalla N. An efficient finite element scheme for solving the three dimensional poroelasticity problem in acoustics. J. Acoust. Soc. Am., 1997, 101:328-329
10. SHAO Xiumin, LAN Zhiling. Finite element methods for the equations of waves in fluid-saturated porous media. Chinese J. Geophys., 2000, 43(2): 264-277
11. Komatisch D, Vilotte J P. The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bull. Seism. Soc. Am., 1998, 88: 368-392
12. Pauchez N, Sahraoui S. Convergence of poroelastic finite elements based on Biot displacement formulation. J. Acoust. Soc. Am., 2001, 109: 33-40
13. Ozdenvar T, MacMehan A. Causes and reduction of numerical artefacts in pseudo-spectral wavefield extrapolation. Geophys. J. Int., 1996,126: 819-828
14. Ozdenvar T, MacMehan A. Algorithms for staggered-grid computations for poroelastic, elastic, acoustic and scalar wave equations. Geophysical Prospecting, 1997, 45(4): 403-420
15. Tal-Ezer H. Spectral methods in time for hyperbolic problem. SIAM J. Numer. Anal., 1986, 23: 12-26
16. Moeza P, Kristek M J, Kristekova M. 3D displacement finite difference and a combined memory optimisation. Bull. Seism. Soc. Am., 1999, 89:69-79
17. Biot M A. Theory of elasticity and consolidation for a porous anisotropic solid. J. Apply. Phys., 1955, 26(2):182-185
18. Biot M A. Theory of deformation of a porous viscoelastic anisotropic solid. J. Appl. Phys., 1956, 27(5): 459-467
19. Biot M A. Mechanics of deformation and acoustic propagation in porous media. J. Apply. Phys., 1962, 3(4): 1482-1498
20. Biot M A. Generalized theory of acoustic propagation in porous dissipative media. J. Acoust. Soc. Am., 1962, 34: 1254-1264
21. Levander A R. Fourth-order finite-difference P-SV seismograms. Geophysics, 1988, 53(11): 1425-1436
22. th SEGJ International Symposium: Imaging Technology, Tokyo, Japan, 2001, 113-120