Benchmarks for single-phase flow in fractured porous media. (January 2018)

• Record Type: Journal Article
• Authors: Flemisch, Bernd; Berre, Inga; Boon, Wietse; Fumagalli, Alessio; Schwenck, Nicolas; Scotti, Anna; Stefansson, Ivar; Tatomir, Alexandru
• Is Part Of: Advances in water resources. Volume 111(2018)
• Page Start: 239
• Page End: 258
• Publication Date: 2018-01
• Subjects: Fractured porous media -- Discretization methods -- Benchmark; Hydrology -- Periodicals; Hydrodynamics -- Periodicals; Hydraulic engineering -- Periodicals; 551.48
• DOI: 10.1016/j.advwatres.2017.10.036
• Languages: English
• ISSNs: 0309-1708

Abstract

Highlights: Four benchmark cases for single-phase flow in fractured porous media. Comparison of seven state-of-the-art discrete-fracture-matrix methods. Public access to all mesh and solution data. Abstract: 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 two cell-centred finite volume methods, 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 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.