论文标题
达西问题的孔隙率取决于压力
The Darcy problem with porosity depending exponentially on the pressure
论文作者
论文摘要
我们考虑粘性不可压缩的流体通过多孔介质的流动。我们允许培养基的渗透性指数依赖于压力，并为该模型提供分析。我们研究了一种分裂公式，其中使用对流扩散问题来定义渗透性，然后将其用于线性Darcy方程。我们还研究了此问题的离散化，并为其提供了错误分析。
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.
