Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach

Stefan Metzger; Peter Knabner

doi:10.1137/19m1287705

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arXiv · 2002.02531

Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach

Stefan Metzger·Peter Knabner

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Abstract

We extend the two-scale expansion approach of periodic homogenization to include time scales and thus can tackle the full instationary Navier-Stokes-Cahn-Hilliard model at the pore scale as microscale. Time scale separation allows us to keep microscale dynamics, responsible e.g. for hysteresis, and arrive at a numerically tractable micro-macro model including coupled generalized Darcy's laws.

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Stefan Metzger, Peter Knabner. 2020-01-30. Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach. https://doi.org/10.1137/19m1287705

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