A partially saturated flow model for a composite poroelastic medium
Ralph E. Showalter, N. Su · 2020
The model formulation and existence theory is described for diffusion of a barotropic fluid through a partially saturated poroelastic composite medium consisting of two components. This includes the Barenblatt-Biot double-diffusion model of elastic deformation and laminar flow in a fissured medium, such as consolidation processes in a system of fissures distributed throughout a matrix of highly porous cells. Nonlinear effects of density, saturation, porosity and permeability variations with pressure are included, and the seepage surfaces are determined by variational inequalities on the boundary.