多相非饱和多重孔隙介质的有效应力定律

GENERALIZED EFFECTIVE STRESS LAW FOR MULTI-POROSITY MEDIA UNSATURATED WITH MULTIPHASE FLUIDS

  • 摘要: 多孔介质的有效应力定律广泛应用于流固耦合变形分析问题。该文考虑孔隙的重数、孔隙流体的相数、各向异性、非饱和、基质吸力等条件,提出了广义多相非饱和多重孔隙介质的有效应力定律。在固体相及各流体相线弹性变形的假设下,首先通过应力状态分解、边界条件叠加方法,得到了不考虑基质吸力的多相等效饱和各向异性多重孔隙介质的有效应力。考虑到非饱和多孔介质中两相界面张力引起的基质吸力,在线弹性变形基础上,叠加了基质吸力引起的变形部分,推导得到非饱和多孔介质的有效应力定律的一般形式。将所得公式根据实际需要进行简化处理,可以得到目前常用的有效应力定律的表达形式,充分说明了该文所得结论的合理性。

     

    Abstract: The effective stress law for porous media is widely employed in the analysis of fluid-solid coupling problems. This paper proposed a generalized effective stress law for multi-porosity media unsaturated with multiphase fluids, considering the porosity multiplicity, phase numbers of porous fluids, anisotropy, saturation degree, and metric suction. Under the hypothesis that the solid and liquid phases both only undergo liner elastic deformations, the effective stress law for the anisotropic multi-porous media unsaturated with multi-phase liquid (without the consideration of matric suction) was proposed by the approaches of stress separation and superposition of boundary conditions. The solid's linear elastic deformation and the deformation induced by the matric suction occurring on phase interfaces in an unsaturated porous media were contemplated to attain a generalized form of the effective stress law for unsaturated porous media. Most of expression formats of the effective stress laws in literatures can be obtained from corresponding reduced forms of the generalized law proposed, which proves its reasonableness.

     

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