Benchmarks for single-phase flow in fractured porous media
Provides standardized benchmarks for researchers developing numerical methods for fractured porous media flow, enabling fair comparison and validation.
This paper introduces benchmark test cases for single-phase flow in fractured porous media, comparing multiple numerical schemes (e.g., finite volume, discrete fracture models) on problems with varying network complexity and permeability contrasts. Results include error metrics, sparsity, and condition numbers, with all data publicly available.
This paper presents several test cases intended to be benchmarks for numerical schemes for single-phase fluid flow in fractured porous media. A number of solution strategies are compared, including a vertex and a cell-centered finite volume method, a non-conforming embedded discrete fracture model, a primal and a dual extended finite element formulation, and a mortar discrete fracture model. The proposed benchmarks test the schemes by increasing the difficulties in terms of network geometry, e.g. intersecting fractures, and physical parameters, e.g. low and high fracture-matrix permeability ratio as well as heterogeneous fracture permeabilities. For each problem, the results presented by the participants are the number of unknowns, the approximation errors in the porous matrix and in the fractures with respect to a reference solution, and the sparsity and condition number of the discretized linear system. All data and meshes used in this study are publicly available for further comparisons.