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地球物理学报 2007
Basic equations of transversely isotropic fluid-saturated poroelastic media
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Abstract:
Although the saturated poroelastic media are given more and more interests,the basic equations and calculating parameters about the media are in confusion to a certain extent.In this work using mechanics of continuum and the method of space average,the basic equations of transversely isotropic fluid-saturated poroelastic media are obtained,in terms of stress-strain's relations,kinetics equations,continuity equations and generalized Darcy law.Comparing those equations with Biot's equations,the relations of elastic constants B-i with elastic constants c-(ij) are determined,and the explicit expressions of Biot's parameters m-i and r-i,i.e.,the relations of Biot's parameters with permeability,viscosity and porosity,are obtained.Finally the particular cases are discussed and the simplified basic equations are given.