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arXiv · 2011.02667

The Darcy problem with porosity depending exponentially on the pressure

Zerihun Kinfe Birhanu·Tadele Mengesha·Abner J. Salgado
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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.

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Zerihun Kinfe Birhanu, Tadele Mengesha, Abner J. Salgado. 2020-11-05. The Darcy problem with porosity depending exponentially on the pressure. https://arxiv.org/abs/2011.02667

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