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Three Models for Two Phase Flow in Porous Media

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Abstract

We compare three different models of two phase flow in a porous medium; the standard Darcy/Buckley–Leverett model, the Brinkman model and the Helmholtz model. These three models are all singular perturbations of the inviscid Darcy model, and thus have the same formal limits. The existence of such limits have not been proved mathematically, and in this paper we investigate numerically whether limits exist, and whether they are similar.

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Acknowledgments

The author has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 642768.

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  1. Department of mathematics, University of Oslo, P.O. Box 1053, Blindern, N–0316, Oslo, Norway

    Nils Henrik Risebro

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  1. Nils Henrik Risebro
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Correspondence to Nils Henrik Risebro.

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Risebro, N.H. Three Models for Two Phase Flow in Porous Media. Vietnam J. Math. 47, 835–849 (2019). https://doi.org/10.1007/s10013-019-00367-1

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