Constitutive Modeling of Charged Porous Media

摘要

As osmotic, chemical and hydrational swelling in shales are essential mechanisms in many borehole stability related problems, an electro-chemo-mechanical formulation of quasi-static finite deformation of swelling of charged porous media has been derived from the theory of mixtures. Four phases following different kinematic paths are defined: solid, fluid, anions and cations. The model includes compressibility of both the solid and the fluid component. In the limiting case without ionic effects, the resulting model from the theory of mixtures is consistent with Biot's theory.