The Darcy problem with porosity depending exponentially on the pressure

[摘要] We consider the flow of a viscous incompressible fluid through a porous medium. We allow the permeability of the medium to depend exponentially on the pressure and provide an analysis for this model. We study a splitting formulation where a convection diffusion problem is used to define the permeability, which is then used in a linear Darcy equation. We also study a discretization of this problem, and provide an error analysis for it. (C) 2021 Elsevier B.V. All rights reserved.

[发布日期] 2021-12-15

[关键词] Porous media flow;Darcy equations;Finite elements