Verification benchmarks for single-phase flow in three-dimensional fractured porous media
arXiv:2002.07005 · doi:10.1016/j.advwatres.2020.103759
Abstract
Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, we present a portfolio of four benchmark cases for single-phase flow in three-dimensional fractured porous media. The cases are specifically designed to test the methods' capabilities in handling various complexities common to the geometrical structures of fracture networks. Based on an open call for participation, results obtained with 17 numerical methods were collected. This paper presents the underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases.
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- Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces
- A Finite-Volume Moving-Mesh Method for Two-phase Flow in Fracturing Porous Media
- A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media
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- Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems
- Estimation of uncertainties in the density driven flow in fractured porous media using MLMC
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