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A theoretical model of elastic wave propagation in a cracked porous medium is developed in this paper. When elastic wave propagates through the cracked porous medium, the different physical properties and geometries in different pores structures lead to the fluid pressure gradient in cracks and between cracks and pores. The squirt-flow will take place in two mutually-perpendicular directions, thus, it has anisotropic characteristic. The wave respond contains the crack and background medium permeability information simultaneously. Owing to the fluid dynamic flow process, the effective elastic modulus is complex and frequency-dependent. When the wave frequencies are in high and low limit, the porous medium is elastic. The wave attenuation is obvious and the attenuation is frequency-dependent in the middle frequency region. The anisotropic permeability corresponding to anisotropic characteristic times in the cracked porous medium causes the wave propagation to be affected by the crack connectivity. There appears a second attenuation peak for larger thickness value of crack, meanwhile, and the peak of attenuation is influenced by the thickness value and radius of crack.
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Keywords:
- porous media /
- poroelasticity /
- wave propagation /
- anisotropy
[1] Quintal B 2012 J. Appl. Geophys. 82 119
[2] Gurevich B, Osypov K, Ciz R, Makarynska D 2008 Geophysics 73 E115
[3] Biot M 1956 J. Acoust. Soc. Am. 28 168
[4] Biot M 1956 J. Acoust. Soc. Am. 28 179
[5] Biot M 1962 J. Appl. Phys. 33 1482
[6] Zhao H B, Wang X M, Chen H 2006 Chin. Phys. 15 2819
[7] Mller T M, Gurevich B, Lebedev M 2010 Geophysics 75 A147
[8] Picotti S, Carcione J M, Rubino J M, Santos J E 2007 Geophysics 72 N11
[9] Gurevich B 2002 Geophysics 67 264
[10] White J E 1975 Geophysics 40 224
[11] Crampin S 1984 Geophys. J. Roy. Astr. Soc. 76 135
[12] Dvorkin J, Nur A 1993 Geophysics 58 524
[13] Gassmann F 1951 Viertel. Naturforsch. Ges. Zrich. 96 1
[14] Chapman M 2001 Ph. D. Dissertation (Edinburgh: University of Edinburgh)
[15] Song Y J, Hu H S 2013 Acta Mech. Sin. 45 395 (in Chinese) [宋永佳, 胡恒山 2013 力学学报 45 395]
[16] Cui Z W, Wang K X, Cao Z L, Hu H S 2004 Acta Phys. Sin. 53 3083 (in Chinese) [崔志文, 王克协, 曹正良, 胡恒山 2004 物理学报 53 3083]
[17] Tang X M 2011 Sci. China D: Earth Sci. 41 784 (in Chinese) [唐晓明 2011 中国科学D辑: 地球科学 41 784]
[18] Chapman M 2003 Geophys. Prospect. 51 369
[19] Hudson J A, Liu E R, Crampin S 1996 Geophys. J. Internat. 124 105
[20] Pride S R, Berryman J G 2003 Phys. Rev. E 68 036603
[21] Pride S R, Berryman J G 2003 Phys. Rev. E 68 036604
[22] Gurevich B, Brajanovski M, MllerT M, Galvin R J, Stewart T J 2009 Geophys. Prospect. 57 225
[23] Lambert G, Gurevich B, Brajanovski M 2006 Geophysics 71 N41
[24] Norris A N 1993 J. Acoust. Soc. Am. 94 359
[25] Johnson D L, Koplik J, Dashen R 1987 J. Fluid. Mech. 176 379
[26] Snow D T 1969 Water. Resour. Res. 5 1273
[27] MllerT M, Rothert E 2006 Geophys. Res. Lett. 33 L16305
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[1] Quintal B 2012 J. Appl. Geophys. 82 119
[2] Gurevich B, Osypov K, Ciz R, Makarynska D 2008 Geophysics 73 E115
[3] Biot M 1956 J. Acoust. Soc. Am. 28 168
[4] Biot M 1956 J. Acoust. Soc. Am. 28 179
[5] Biot M 1962 J. Appl. Phys. 33 1482
[6] Zhao H B, Wang X M, Chen H 2006 Chin. Phys. 15 2819
[7] Mller T M, Gurevich B, Lebedev M 2010 Geophysics 75 A147
[8] Picotti S, Carcione J M, Rubino J M, Santos J E 2007 Geophysics 72 N11
[9] Gurevich B 2002 Geophysics 67 264
[10] White J E 1975 Geophysics 40 224
[11] Crampin S 1984 Geophys. J. Roy. Astr. Soc. 76 135
[12] Dvorkin J, Nur A 1993 Geophysics 58 524
[13] Gassmann F 1951 Viertel. Naturforsch. Ges. Zrich. 96 1
[14] Chapman M 2001 Ph. D. Dissertation (Edinburgh: University of Edinburgh)
[15] Song Y J, Hu H S 2013 Acta Mech. Sin. 45 395 (in Chinese) [宋永佳, 胡恒山 2013 力学学报 45 395]
[16] Cui Z W, Wang K X, Cao Z L, Hu H S 2004 Acta Phys. Sin. 53 3083 (in Chinese) [崔志文, 王克协, 曹正良, 胡恒山 2004 物理学报 53 3083]
[17] Tang X M 2011 Sci. China D: Earth Sci. 41 784 (in Chinese) [唐晓明 2011 中国科学D辑: 地球科学 41 784]
[18] Chapman M 2003 Geophys. Prospect. 51 369
[19] Hudson J A, Liu E R, Crampin S 1996 Geophys. J. Internat. 124 105
[20] Pride S R, Berryman J G 2003 Phys. Rev. E 68 036603
[21] Pride S R, Berryman J G 2003 Phys. Rev. E 68 036604
[22] Gurevich B, Brajanovski M, MllerT M, Galvin R J, Stewart T J 2009 Geophys. Prospect. 57 225
[23] Lambert G, Gurevich B, Brajanovski M 2006 Geophysics 71 N41
[24] Norris A N 1993 J. Acoust. Soc. Am. 94 359
[25] Johnson D L, Koplik J, Dashen R 1987 J. Fluid. Mech. 176 379
[26] Snow D T 1969 Water. Resour. Res. 5 1273
[27] MllerT M, Rothert E 2006 Geophys. Res. Lett. 33 L16305
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