各向异性粘弹性多孔介质中平面波的传播

A·K·瓦西什; M·D·夏玛

各向异性粘弹性多孔介质中平面波的传播

库鲁克西察大学数学系,136119,印度

详细信息

中图分类号: O357.3；O343.8
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- 被引次数: 0
出版历程
- 收稿日期: 2008-04-16
- 修回日期: 2008-07-02
- 刊出日期: 2008-09-15

Propagation of Plane Waves in Poroviscoelastic Anisotropic Media

Department of Mathematics, Kurukshetra University, India-136 119

摘要

摘要: 讨论了弹性多孔介质中波的传播的（或许是）最一般的模型．考虑的介质是粘弹性的、各向异性的、多孔固体骨架，其各向异性可渗透的孔隙中充满着粘性液体．考虑一般类型的各向异性，并且介质中的衰减波作为非均质波处理．对介质中4种衰减波中的每一种，将复慢矢量分解定义为相速度、均质衰减、非均质衰减和衰减角．用一个无量纲参数来度量非均质波与其均质波的区别．利用北海沙岩的数值模型，分析传播方向、非均质参数、频率范围、各向异性对称性、骨架滞弹性和孔隙流体粘度，对该类介质中波传播特性的影响．
- 非均质波 /
- 各向异性 /
- 多孔粘弹性固体 /
- 相速度 /
- 衰减
Abstract: The wave propagation in, perhaps, the most general model of a poroelastic medium is discussed. The medium is considered as a viscoelastic, anisotropic, porous solid frame such that its pores of anisotropic permeability are filled with a viscous fluid. The anisotropy, considered, is of general type and attenuating waves in the medium were treated as inhomogeneous waves. The complex slowness vector was resolved to define the phase velocity, homogeneous attenuation, inhomogeneous attenuation and angle of attenuation for each of the four attenuating waves in the medium. A non-dimensional parameter measures the deviation of an inhomogeneous wave from its homogeneous version. Numerical model of a North-Sea sandstone was used to analyze the effects of propagation direction, inhomogeneity parameter, frequency regime, anisotropy symmetry, anelasticity of frame and viscosity of pore-fluid on the propagation characteristics of waves in such a medium.
- inhomogeneous wave /
- anisotropy /
- poroviscoelastic solid /
- phase velocity /
- attenuation

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参考文献(16)

[1]	Biot M A.The theory of propagation of elastic waves in a fluid-saturated porous solid[J].Ⅰ—Low-frequency range,Ⅱ—Higher frequency range[J].J Acoust Soc Am,1956,28(2):168-191. doi: 10.1121/1.1908239
[2]	Biot M A. Mechanics of deformation and acoustic propagation in porous media[J].J Appl Phys,1962,33(4):1482-1498. doi: 10.1063/1.1728759
[3]	Biot M A. Generalized theory of acoustic propagation in porous dissipative media[J].J Acoust Soc Am,A,1962,34(9):1254-1264. doi: 10.1121/1.1918315
[4]	Sharma M D, Gogna M L. Seismic wave propagation in a viscoelastic porous solid saturated by viscous liquid[J].PAGEOPH,1991,135(3):383-400. doi: 10.1007/BF00879471
[5]	Carcione J M, Cavallini F.Attenuation and quality factor surfaces in anisotropic viscoelastic media[J].Mechanics of Materials,1995,19(4):311-327. doi: 10.1016/0167-6636(94)00040-N
[6]	Carcione J M, Helle H B, Zhao T. Effects of attenuation and anisotropy on reflection amplitude versus offset[J].Geophysics,1998,63(5):1652-58. doi: 10.1190/1.1444461
[7]	Pham N H, Carcione J M, Helle H B,et al.Wave velocities and attenuation of shaley sandstones as a function of pore pressure and partial saturation[J]. Geophys Prosp,2002,50(6):615-627. doi: 10.1046/j.1365-2478.2002.00343.x
[8]	Gurevich B. Effect of fluid viscosity on elastic wave attenuation in porous rocks[J].Geophysics,2002,67(1):264-270.
[9]	Sharma M D.Wave propagation in a general anisotropic poroelastic medium with anisotropic permeability: phase velocity and attenuation[J].Internat J Solids Structure,2004,41(16/17):4587-4597. doi: 10.1016/j.ijsolstr.2004.02.066
[10]	Sharma M D. Anisotropic propagation of inhomogeneous waves in dissipative poroelastic solids[J].Geophys J Internat,2005,163(3):981-990. doi: 10.1111/j.1365-246X.2005.02701.x
[11]	Sharma M D. Propagation of inhomogeneous plane waves in anisotropic viscoelastic media[J].Acta Mech,2008, DOI: 10.1007/s 00707-008-0034-6.
[12]	Deresiewicz H, Rice J T. The effect of boundaries on wave propagation in a liquid-filled porous solid —Ⅲ reflection of plane waves at a free plane boundary (general case)[J].Bull Seism Soc Am,1962,52(3):595-625.
[13]	Crampin S. Suggestions for a consistent terminology for seismic anisotropy[J].Geophys Prospect,1989,37(7):753-770. doi: 10.1111/j.1365-2478.1989.tb02232.x
[14]	Shuvalov A L.On the theory of plane inhomogeneous waves in anisotropic elastic media[J].Wave Motion,2001,34(4):401-429. doi: 10.1016/S0165-2125(01)00080-4
[15]	Cerveny V, Psencik I. Plane waves in viscoelastic anisotropic media —Ⅰ Theory[J].Geophys J Internat,2005,161:197-212. doi: 10.1111/j.1365-246X.2005.02589.x
[16]	Rasolofosaon P N J, Zinszner B E. Comparison between permeability anisotropy and elasticity anisotropy of reservoir rocks[J].Geophysics,2002,67(1):230-240.