On internal coupling in dynamic equations of fluid-saturated porous solid
Dynamic equations of a porous solid-fluid mixture have been studied accounting for the influence of the pore structure. It is shown that when a skeleton pore structure is characterized by two parameters volume porosity and the structural permeability tensor, the mixture can be considered as composed either of two physical components - the porous solid and the fluid, or two kinematic components - the first being the skeleton and the fluid trapped within, the second being the unimpeded fluid. During a deformation process, mass exchange between the kinematic components may appear, thus provoking the inertial coupling between them. The kinematic division of the solid-fluid mixture, contrary to the physical division, enables one to formulate the appropriate motion equations which include this inertial coupling.
influence of pore structure on continuity and motion equations formulation
scientific article; zbMATH DE number 3934556