Verification benchmarks for single-phase flow in three-dimensional fractured porous media

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, four benchmark cases for single-phase flow in three-dimensional fractured porous media are presented. 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.

Automated summary

Flow in fractured porous media has significant impacts on the underground, biological tissues, and man-made materials. Recently, there has been a development of models and numerical methods to explicitly consider the influence of fractures on flow processes. Four benchmark cases were presented to test the capabilities of numerical methods in handling the complexities common to the geometrical structures of fracture networks, with results obtained from 17 numerical methods collected and analyzed.