A Mixture Theory of Porous Media and Some Problems of Poroelasticity

Abstract

Based on the theory of an elastic solid-fluid mixture and the concept of volume fraction, a theory of porous media can be formulated consistent with basic characteristics in soil mechanics, such as Darcy’s law, uplift force, and the effective stress principle. Boundary value problem for different models of poroelasticity can be considered depending on the assumptions of incompressibility of solid or fluid constituents. From the consideration of acceleration waves, there are two longitudinal waves in general, except for the model with both incompressible solid and fluid constituents, which admit only one longitudinal wave as known in the literature.