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A reformation of the equations of anisotropic poroelasticity. (English) Zbl 0754.73017

This paper treats anisotropic poroelasticity in terms of material tensors with interpretations similar to those of the constants employed by J. R. Rice and M. P. Cleary [Rev. Geophys. Space Phys. 14, 227-241 (1976)]. An effective stress principle is derived for such anisotropic material. The material tensors are defined, rigorously, from the stress field and pore fluid content changes produced by boundary displacements compatible with a uniform mean strain and uniform pore pressure increments. The end product of the analysis is a set of constitutive equations in which the parameters are all measurable directly from well- accepted testing procedures. Relationships exist between measurable quantities that can be used to verify that the constitutive equations described here are valid for the rock under consideration. The case of transverse isotropy is discussed explicitly for illustration.

MSC:

74A20 Theory of constitutive functions in solid mechanics
74E10 Anisotropy in solid mechanics
74L10 Soil and rock mechanics
74E05 Inhomogeneity in solid mechanics
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