The Darcy problem with porosity depending exponentially on the pressure
Analysis of PDEs
2020-11-06 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2011.02667,
title = {The Darcy problem with porosity depending exponentially on the pressure},
author = {Zerihun Kinfe Birhanu and Tadele Mengesha and Abner J. Salgado},
journal= {arXiv preprint arXiv:2011.02667},
year = {2020}
}