Finite-difference modeling of Biot's poroelastic equations across all frequencies

Geophysics

Volumn 75, Issue 2, 2010, Pages

  Masson, Y J ^a   Pride, S R ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; FLOW OF FLUIDS;

BIOT'S EQUATION; CONVOLUTION INTEGRALS; DARCY VELOCITY; FINITE DIFFERENCE MODEL; FINITE DIFFERENCE SCHEME; HIGHER FREQUENCIES; PORO-ELASTICITY; VISCOUS BOUNDARY LAYERS;

CONVOLUTION;

ACCURACY ASSESSMENT; BIOT THEORY; CONSTITUTIVE EQUATION; DARCY LAW; FINITE DIFFERENCE METHOD; NUMERICAL MODEL; POROELASTICITY; BOUNDARY LAYER; WAVELET ANALYSIS;

EID: 84864157274     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3332589     Document Type: Article

References (20)

1. Biot, M.A., 1956, Theory of propagation of elastic waves in a fluid-saturated porous solid: 1 - Low-frequency range: Journal of the Acoustical Society of America, 28, 168-178.jas, JASMAN, 0001-4966, 10.1121/1.1908239
2. Biot, M.A. Willis, D.G., 1957, The elastic coefficients of the theory of consolidation: Journal of Applied Mechanics, 24, 594-601.jah, JAMCAV, 0021-8936
3. Carcione, J.M., 1996, Wave propagation in anisotropic, saturated porous media: Plane-wave theory and numerical simulation: Journal of the Acoustical Society of America, 99, 2655-2666.jas, JASMAN, 0001-4966, 10.1121/1.414809
4. Carcione, J.M. Helle, H.H., 1999, Numerical solution of the poroviscoelastic wave equation on a staggered mesh: Journal of Computational Physics, 154, 520-527.jct, JCTPAH, 0021-9991, 10.1006/jcph.1999.6321
5. Carcione, J.M. Quiroga-Goode, G., 1995, Some aspects of the physics and numerical modeling of Biot compressional waves: Journal of Computational Acoustics, 3, 261-272.jcg, JCOAEJ, 0218-396X, 10.1142/S0218396X95000136
6. Hanyga, A. Lu, J.-F., 2005, Wave field simulation for heterogeneous transversely isotropic porous media with the JKD dynamic permeability: Computational Mechanics, 36, 196-208.9lj, CMMEEE, 0178-7675, 10.1007/s00466-004-0652-3
7. Hefner, B.T. Williams, K.L., 2006, Sound speed and attenuation measurements in unconsolidated glass-bead sediments saturated with viscous pore fluids: Journal of the Acoustical Society of America, 120, 2538-2549.jas, JASMAN, 0001-4966, 10.1121/1.2354030
8. Johnson, D.L. Koplik, J. Dashen, R., 1987, Theory of dynamic permeability and tortuosity in fluid-saturated porous media: Journal of Fluid Mechanics, 176, 379-402.jfl, JFLSA7, 0022-1120, 10.1017/S0022112087000727
9. Levander, A.R., 1988, Fourth-order finite-difference P-SV seismograms: Geophysics, 53, 1425-1436.gpy, GPYSA7, 0016-8033, 10.1190/1.1442422
10. Madariaga, R., 1976, Dynamics of an expanding circular fault: Bulletin of the Seismological Society of America, 66, 163-182.bss, BSSAAP, 0037-1106
11. Masson, Y.J. Pride, S.R. Nihei, K.T., 2006, Finite-difference modeling of Biot's poroelastic equations at seismic frequencies: Journal of Geophysical Research, 111, B10305.jgr, JGREA2, 0148-0227, 10.1029/2006JB004366
12. Ozdenvar, T. McMechan, G.A., 1997, Algorithms for staggered-grid computations for poroelastic, elastic, acoustic, and scalar wave equations: Geophysical Prospecting, 45, 403-420.8uc, GPPRAR, 0016-8025, 10.1046/j.1365-2478.1997.390275.x
13. Plyushchenkov, B.D. Turchaninov, V., 2000, Acoustic logging modeling by refined Biot's equations: International Journal of Modern Physics C, 12, 305-396.imc, IJMPEO, 0129-1831
14. Pride, S.R., 1994, Governing equations for the coupled electromagnetics and acoustics of porous media: Physical Review B, 50, 15678-15696.prb, PRBMDO, 0163-1829, 10.1103/PhysRevB.50.15678
15. 2005, Relationships between seismic and hydrological properties, in Y. Rubin and S. S. Hubbard, eds., Hydrogeophysics: Springer, 253-291.
16. Virieux, J., 1986, P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method: Geophysics, 51, 889-901.gpy, GPYSA7, 0016-8033, 10.1190/1.1442147
17. Virieux, J. Madariaga, R., 1982, Dynamic faulting studied by a finite-difference method: Bulletin of the Seismological Society of America, 72, 345-369.bss, BSSAAP, 0037-1106
18. Williams, K.L. Jackson, D.R. Thorsos, E.I. Tang, D. Schock, S.G., 2002, Comparison of sound speed and attenuation measured in a sandy sediment to predictions based on the Biot theory of porous media: IEEE Journal of Oceanic Engineering, 27, 413-428.ijj, IJOEDY, 0364-9059, 10.1109/JOE.2002.1040928
19. Zhang, J., 1999, Quadrangle-grid velocity-stress finite difference method for poroelastic wave equations: Geophysical Journal International, 139, 171-182.gji, GJINEA, 0956-540X, 10.1046/j.1365-246X.1999.00938.x
20. Zhu, X. McMechan, G.A., 1991, Numerical simulation of seismic responses of poroelastic reservoirs using Biot theory: Geophysics, 56, 328-339.gpy, GPYSA7, 0016-8033, 10.1190/1.1443047