The Linear Theory of Anisotropic Poroelastic Solids
This chapter offers a comprehensive derivation of the constitutive equations of linear poroelasticity. A main purpose of this survey is to assist with the formulation of experimental strategies for the measurement of poroelastic constants. The complete set of linearized constitutive relations is phrased alternatively in terms of undrained bulk parameters or drained skeleton parameters. Displayed in the form of a mnemonic diagram, this can provide a rapid overview of the theory. The principal relationships between alternative sets of material parameters are tabulated, among them the well-known Gassmann or Brown-Korringa fluid substitution relations that are rederived here without any pore-scale considerations. The possibility of an isotropic unjacketed response is pointed out, which — if verified experimentally — will make for an interesting and practically useful special case of anisotropic poroelasticity.
KeywordsPore Pressure Bulk Modulus Linear Theory Solid Skeleton Pore Volume Fraction
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