A Finite-Volume Moving-Mesh Method for Two-phase Flow in Fracturing Porous Media

Abstract

Flow in fractured porous media is modeled frequently by discrete fracture-matrix approaches where fractures are treated as dimensionally reduced manifolds. Generalizing earlier work we focus on two-phase flow in time-dependent fracture geometries including the fracture's aperture. We present the derivation of a reduced model for immiscible two-phase flow in porous media. For the reduced model we present a fully conforming finite-volume discretization coupled with a moving-mesh method. This method permits arbitrary movement of facets of the triangulation while being fully conservative. In numerical examples we show the performance of the scheme and investigate the modeling error of the reduced model.

29 pages, 15 figures

References in corpus (3)

• Verification benchmarks for single-phase flow in three-dimensional fractured porous media
• A fully coupled numerical model of thermo-hydro-mechanical processes and fracture contact mechanics in porous media
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Cited by in corpus (5)

• Asymptotic expansion for convection-dominated transport in a thin graph-like junction
• Flow in Porous Media with Fractures of Varying Aperture
• Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks
• Rigorous Derivation of Discrete Fracture Models for Darcy Flow in the Limit of Vanishing Aperture
• Muskat-Leverett two-phase flow in thin cylindric porous media: Asymptotic approach