1 Eshelby J D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc Roy Soc of London, 1957, 241: 376-396 ？？
[2]
2 Walsh J B. The effect of cracks on the compressibility of rock. J Geophys Res, 1965, 70, 2: 381-389
[3]
3 O’Connell R J, Budiansky B. Seismic velocities in dry and saturated cracked solids. J Geophys Res, 1974, 79: 4626-4627
[4]
4 Budiansky B, O’Connell R J. Elastic moduli of a cracked solid. Int J Solids Structures, 1976, 12: 81-97 ？？
[5]
5 O’Connell R J, Budiansky B. Viscoelastic properties of fluid saturated cracked solids. J Geophys Res, 1977, 82: 5719-5736 ？？
[6]
6 Budiansky B, O’Connell R J. Bulk dissipation in heterogeneous media. Solid Earth Geophys Geotech, 1980, 42: l-10
[7]
7 O’Connell R J. A viscoelastic model of anelasticity of fluid saturated porous rocks. Physics and Chemistry of Porous Media, AIP Conf. Proceedings, 1984. 166-175
[8]
8 Biot M A. Theory of propagation of elastic waves in a fluid saturated porous solid: A. Low-frequency range. J Acoust Soc Am, 1956, 28: 168-179？？
[9]
9 Biot M A. Theory of propagation of elastic waves in a fluid saturated porous solid. B. Higher frequency range. J Acoust Soc Am, 1956, 28: 170-191
[10]
10 Biot M A. Generalized theory of acoustic propagation in porous dissipative media. J Acoust Soc Am, 1962, 34: 1254-1264？？
12 Dvorkin J, Nur A. Dynamic poroelasticity: A unified model with the squirt and the Biot mechanisms. Geophysics, 1993, 58, 4: 524-533
[13]
13 White J E. Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, 1975, 40: 224-232？？
[14]
14 Johnson D L. Theory of frequency dependent acoustics in patchy-saturated porous media. J Acoust Soc Am, 2001, 110: 682-694？？
[15]
15 Carcione J M, Helle H B, Pham N H. White’s model for wave propagation in partially saturated rocks: Comparison with poroelastic numerical experiments. Geophysics, 2003, 68: 1389-1398？？
[16]
16 Hudson J A. Wave speeds and attenuation of elastic waves in material containing cracks. Geophys J R Astr Soc, 1981, 64: 133-150
[17]
17 Hudson J A. A higher order approximation to the wave propagation constants for a cracked solid. Geophys J R Astr Soc, 1986, 87: 265-274
[18]
18 Hudson J A. Overall elastic properties of isotropic materials with arbitrary distribution of circular cracks. Geophys J Int, 1990, 102: 465-469？？
[19]
19 Kuster G T, Toks？z M N. Velocity and attenuation of seismic waves in two-phase media: I. Theoretical formulation. Geophysics, 1974, 39: 587-606？？
[20]
20 Mavko G, Nur A. Wave attenuation in partially saturated rocks. Geophysics, 1979, 44: 161-178？？
[21]
21 Pride S R, Berryman J G. Linear dynamics of double-porosity dual-permeability materials. I. Governing equations and acoustic attenuation. Phys Rev E, 2003, 68: 036603？？
[22]
22 Pride S R, Berryman J G. Linear dynamics of double-porosity dual-permeability materials. II. Fluid transport equations. Phys Rev E, 2003, 68: 036604？？
[23]
23 Berryman J G, Wang H F. The elastic coefficients of double-porosity models for fluid transport in jointed rock. J Geophys Res, 1995, 100(B12): 24611-24627
[24]
24 Berryman J G. Effective medium theories for multicomponent poroelastic composites. J Eng Mech, 2006, 132: 519-531？？
27 Thomsen L. Biot-consistent elastic moduli of porous rocks: Low-frequency limit. Geophysics, 1985, 50, 12: 2797-2807
[28]
28 Mavko G, Jizba D. Estimating grain-scale fluid effects on velocity dispersion in rocks. Geophysics, 1991, 56, 12: 1940-1949
[29]
29 Johnson D L, Koplik J, Dashen R. Theory of dynamic permeability and tortuosity in fluid saturated porous media. J Fluid Mech, 1987, 176: 379-402？？
[30]
30 Brie A, Pampuri F, Marsala A F, et al. Shear sonic interpretation in gas-bearing sands. Proceedings of SPE Annual Technical Conference & Exhibition, 1995, SPE 30595: 701-710
34 Garland G D. 地球物理学引论. 陈顒, 唐晓明, 赵晓敏, 译. 北京: 地震出版社, 1987. 117-120
[35]
35 Schubnel A, Benson P M, Thompson B D, et al. Quantifying damage, saturation and anisotropy in cracked rocks by inverting elastic wave velocities. Pure Appl Geophys, 2006, 163: 947-973？？
[36]
36 Cheng C H, Toksoz M N. Inversion of seismic velocities for the pore aspect ratio spectrum of a rock. J Geophys Res, 1979, 84(B13): 7533-7543
