中文摘要：

有效应力在研究流固耦合变形问题有其重要的地位。该文通过对各向同性多重孔隙介质有效应力定律和各向异性双重孔隙介质有效应力定律分析，推导各向异性三重孔隙介质有效应力定律，并对所建各向异性三重孔隙介质有效应力定律简化为已经发表的各向异性双重孔隙介质有效定律，证明模型的存在性、合理性。在各向异性三重孔隙介质有效应力定律的基础上推导各向异性多重孔隙介质有效应力定律。各向异性多重孔隙介质有效应力定律的表达式取决于对多重孔隙介质受力的分解。

英文摘要：

The effective stress analysis is an important issue in the study of poroelastic formulations that couple solid deformations with fluid. Based on the effective stress law for isotropic multi-porosity and anisotropy double porous media law, this paper developed anisotropic triple porous media effective stress law. Then, it was simplified as anisotropic double porous media effective stress law, which was proved to be feasible and rational. Anisotropic multi-porosity media effective stress law is developed on the basis of anisotropic triple porous media effective stress law. The mathematical exoression of anisotronie multi-porosity media effective stress law depends on the decomposition of loadings on multi-porosity media.