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arXiv · 2010.05028

Homogenization of immiscible compressible two--phase flow in random porous media

Brahim Amaziane·Leonid Pankratov·Andrey Piatnitski
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Abstract

The paper deals with homogenization of a model problem describing an immiscible compressible two-phase flow in random statistically homogeneous porous media. We derive the effective (macroscopic) problem and prove the convergence of solutions. Our approach relies on stochastic two-scale convergence techniques, the realization-wise notion of stochastic two-scale convergence being used. Also, we exploit various a priori estimates as well as monotonicity and compactness arguments.

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Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski. 2020-10-10. Homogenization of immiscible compressible two--phase flow in random porous media. https://arxiv.org/abs/2010.05028

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