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Multiphase flow modeling in multiscale porous media: An open-source micro-continuum approach

Author(s): Carrillo, Francisco J.; Bourg, Ian C.; Soulaine, Cyprien

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Abstract: A multiphase Darcy-Brinkman approach is proposed to simulate two-phase flow in hybrid systems containing both solid-free regions and porous matrices. This micro-continuum model is rooted in elementary physics and volume averaging principles, where a unique set of partial differential equations is used to represent flow in both regions and scales. The crux of the proposed model is that it tends asymptotically towards the Navier-Stokes volume-of-fluid approach in solid-free regions and towards the multiphase Darcy equations in porous regions. Unlike existing multiscale multiphase solvers, it can match analytical predictions of capillary, relative permeability, and gravitational effects at both the pore and Darcy scales. Through its open-source implementation, hybridPorousInterFoam, the proposed approach marks the extension of computational fluid dynamics (CFD) simulation packages into porous multiscale, multiphase systems. The versatility of the solver is illustrated using applications to two-phase flow in a fractured porous matrix and wave interaction with a porous coastal barrier.
Publication Date: 10-Sep-2020
DOI: doi:10.1016/j.jcpx.2020.100073
ISSN: 2590-0552
Keywords: Porous media, Multi-scale, Multiphase, Micro-continuum, Fracture, Coastal barrier
Language: en
Type of Material: Journal Article
Journal/Proceeding Title: Journal of Computational Physics: X
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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