Wave field simulation for heterogeneous transversely isotropic porous media with the JKD dynamic permeability

Computational Mechanics

Volumn 36, Issue 3, 2005, Pages 196-208

  Hanyga, A ^a   Lu, Jian Fei ^b  

^a UNIVERSITY OF BERGEN   (Norway)

^b JIANGSU UNIVERSITY   (China)

Author keywords

Drag force; Fourier pseudospectral method; Fractional derivative; JKD model; Porous medium; Singular memory; Transversely isotropic

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FLOW OF FLUIDS; FOURIER TRANSFORMS; MAGNETIC PERMEABILITY; MATHEMATICAL MODELS; WAVE PROPAGATION;

DRAG FORCE; FOURIER PSEUDOSPECTRAL METHOD; FRACTIONAL DERIVATIVES; JKD MODEL; SINGULAR MEMORY; TRANSVERSELY ISOTROPIC;

POROUS MATERIALS;

EID: 21544481190     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-004-0652-3     Document Type: Article

References (37)

1. Backus GE (1962) Long-wave elastic anisotropy produced by horizontal layering: J Geophys Res 67:4427-4440
2. Badiey M, Yamamoto T (1985) Propagation of acoustic normal modes in a homogeneous ocean overlying layered anisotropic porous beds. J Acoust Soc Am 77:954-981
3. Badiey M, Jaya I, Cheng AHD (1994) Propagator matrix for plane wave reflection from inhomogeneous anisotropic poroelastic seafloor. J Comput Acoust 2:11-27
4. Batzle M, Hofmann R, Han DH, Castagna J (2001) Fluids and frequency dependent seismic velocity of rocks. The Leading Edge 20:168-171
5. Ben Menahem A, Gibson RL (1993) Directional attenuation of SH waves in anisotropic poroelastic media. J Acoust Soc Am 93:3057-3065
6. Bernabe Y (1997) The frequency dependence of harmonic fluid flow through networks of cracks and pores. Pure and Applied Geophysics 149:489-506
7. Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155-164
8. Biot MA (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid,I,low frenquency range. J Acoust Soc Am 28:168-178
9. Biot MA (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid, II: Higher frequency range. J Acoust Soc Am 28:179-191
10. Biot MA (1962) Mechanics of deformation and acoustic propagation in porous medium. J Appl Phys 33:1482-1498
11. Carcione JM (1996) Wave propagation in anisotropic, saturated porous media: Plane-wave theory and numerical simulation. J Acoust Soc Am 99:2655-2666
12. Carcione JM (2001) Wave Fields in Real Media : Wave Propagation in Anisotropic, Anelastic, and Porous Media. Amsterdam, Pergamon
13. Chang SK, Liu HL, Johnson DL (1988) Low-frequency tube waves in permeable rocks. Geophysics 53:519-527
14. Charlaix E, Kushnick AP, Stokes JP (1988) Experimental tudy of dynamic permeability in porous-media. Phys Rev Letters 61:1595-1598
15. Crampin S, Chesnokov EM, Hipkin RG (1984) Seismic anisotropy-The state of the art II. Geophys J Roy Astr Soc 76:-6
16. Davis PJ, Rabinowitz P (1984) Methods of Numerical Integration. Academic Press, Inc., Prlando, Florida
17. Gelinsky S, Shapiro SA, Muller T, Gurevich B (1998) Dynamic poroelasticity of thinly layered structures. Int J Solids Structures 35:4739-4751
18. Gurevich B, Lopatnikov SL (1995) Velocity and attenuation of elastic-waves in finely layered porous rocks. Geophys J Int 121:933-947
19. Hanyga A and Seredynska MG (1999) Asymptotic ray theory in poro- and viscoelastic media. Wave Motion 30:175-195
20. Hanyga A (2001) Wave propagation in media with singular memory. Math Computer Modelling 34:1399-1421
21. Johnson DL, Koplik J, Dashen R (1987) Theory of dynamic permeability and tortuosity in fluid-saturated porous-media. Journal of Fluid Mechanics 176:379-402
22. Kosloff R, Kosloff D (1986) Absorbing boundaries for wave propagation problems. J Comput Phys 63:363-376
23. Lu JF, Hanyga A (2004) Numerical modeling method for wave propagation in a linear viscoelastic medium with singular memory. Geophysical J Int 159:688-702
24. Oppenheim AV, Schafer RW (1999) Discrete-time signal processing. Prentice-Hall, Inc., Englewood Cliffs, NJ
25. Podlubny I (1998) Fractional differential equations, Academic Press, San Diego
26. Pride SR, Morgan FD, Gangi AF (1993) Drag forces of porous-medium acoustics. Physical Review B 47:4964-4978
27. Pride SR (1994) Governing equations for the coupled electromagnetics and acoustics of porous-media. Physical Review B 50:15678-15696
28. Pride SR, Haartsen MW (1996) Electroseismic wave properties. J Acoust Soc Am 100:1301-1315
29. Ricker NH (1977) Transient Waves in Visco-elastic Media, Elsevier, Amsterdam
30. Senjuntichai T, Rajapakse RKND (1994) Dynamic Green's functions of homogeneous poroelastic half-plane. J Engineering Mechanics-ASCE 120:2381-2464
31. Shapiro SA, Muller TM (1999) Seismic signatures of permeability in heterogeneous porous media. Geophysics 64:99-103
32. Sharma MD, Gogna ML (1991) Wave propagation in anisotropic liquid saturated porous solids. J Acoust Soc Am 90:1068-1073
33. Thompson M, Willis JR (1991) A reformulation of the equation of anisotropic poroelasticity. J Appl Mech ASME 58:612-616
34. Virieux J (1986) P-SV wave propagation in heterogeneous medium: Velocity-stress finite difference method. Geophysics 51:889-901
35. Wang YS, Zhang ZM (1998) Propagation of Love waves in a transversely isotropic fluid-saturated porous layered half-space. J Acoust Soc Am 103:695-701
36. Yuan L, Agrawal OP (2002) A numerical scheme for dynamic systems containing fractional derivatives. J Vibration Acoustics 124:321-324
37. Zhou MY, Sheng P (1989) 1st-principles calculations of dynamic permeability in porous-media. Physical Review B 39:12027-12039