A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media

نویسندگان

چکیده

Multiphase flow in fractured porous media can be described by discrete fracture matrix models that represent the fractures as dimensionally reduced manifolds embedded bulk medium. Generalizing earlier work on this approach we focus immiscible two-phase time-dependent geometries, i.e., itself and aperture of might evolve time. For dynamic geometries kind, neglecting capillary forces, deduce transversal averaging a full dimensional description model governs geometric evolution dynamics. The core computational contribution is mixed-dimensional finite-volume discretization based conforming moving-mesh ansatz. This (FVMM) algorithm tracking fractures' motions family unions facets mesh. Notably, method permits arbitrary movement triangulation while keeping mass conservation constraint. In series numerical examples investigate modeling error it compares to original model. Moreover, show performance for complex wave pattern induced interaction saturation fronts evolving fractures.

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2022

ISSN: ['1090-2716', '0021-9991']

DOI: https://doi.org/10.1016/j.jcp.2022.111031