English

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

Numerical Analysis 2020-12-30 v1 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2002.07005,
  title  = {Verification benchmarks for single-phase flow in three-dimensional fractured porous media},
  author = {Inga Berre and Wietse M. Boon and Bernd Flemisch and Alessio Fumagalli and Dennis Gläser and Eirik Keilegavlen and Anna Scotti and Ivar Stefansson and Alexandru Tatomir and Konstantin Brenner and Samuel Burbulla and Philippe Devloo and Omar Duran and Marco Favino and Julian Hennicker and I-Hsien Lee and Konstantin Lipnikov and Roland Masson and Klaus Mosthaf and Maria Giuseppina Chiara Nestola and Chuen-Fa Ni and Kirill Nikitin and Philipp Schädle and Daniil Svyatskiy and Ruslan Yanbarisov and Patrick Zulian},
  journal= {arXiv preprint arXiv:2002.07005},
  year   = {2020}
}
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