A CONTINUUM THEORY OF COUPLED SEEPAGE AND MOTION PROBLEM IN SATURATED POROUS MEDIA

概要

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A unified theory of the coupled phenomenon of seepage and motion is developed for saturated porous media based on the continuum theory of conservation laws of mass and linear momentum. The phenomenon is typically known as consolidation for static problem.As observed in the Biot's procedure, the usual approach is to add some terms of coupling to differential equations. However this way induces slight difficulties to evaluate physical meanings and coefficients of each term. In order to avoid these ambiguities, the authors begin by constructing conservation laws for saturated porous media, that is, the mass and the linear momentum conservation laws are introduced. The former law is reduced to a coupled seepage equation assuming the averaged velocity concept and the Darcy's law, and the latter to a coupled equation of motion. Under proper constitutive assumptions, the coupled equations may be solved for both static and dynamic problems.
1983-06-15