We consider a two-phase flow model in a heterogeneous porous column. The medium consists of many homogeneous layers that are perpendicular to the flow direction and have a periodic structure resulting in a one-dimensional flow. Trapping may occur at the interface between a coarse and a fine layer. An effective (upscaled) model is derived by homogenization techniques.
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van Duijn, C.J., Eichel, H., Helmig, R., Pop, I.S. (2008). Effective Two-Phase Flow Models Including Trapping Effects at the Micro Scale. In: Bonilla, L.L., Moscoso, M., Platero, G., Vega, J.M. (eds) Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71992-2_47
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DOI: https://doi.org/10.1007/978-3-540-71992-2_47
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