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

Inga Berre (1) , Wietse M. Boon (2) , Bernd Flemisch (3) , Alessio Fumagalli (1) , Dennis Gläser (3) , Eirik Keilegavlen (1) , Anna Scotti (4) , Ivar Stefansson (1) , Alexandru Tatomir (3) , Konstantin Brenner (5) , Samuel Burbulla (3) , Philippe Remy Bernard Devloo (6) , Omar Duran (7) , Marco Favino (8) , Julian Hennicker (5) , I-Hsien Lee (9) , Konstantin Lipnikov (10) , Roland Masson (5) , Klaus Mosthaf (11) , Maria Giuseppina Chiara Nestola (12) , Chuen-Fa Ni (9) , Kirill Nikitin (13) , Philipp Schädle (14) , Daniil Svyatskiy (10) , Ruslan Yanbarisov (13) , Patrick Zulian (12)

1 UiB - University of Bergen
2 KTH - KTH Royal Institute of Technology [Stockholm]
3 University of Stuttgart
4 Dipartimento di Matematica, "Francesco Brioschi"
5 COFFEE - COmplex Flows For Energy and Environment
6 UNICAMP - Universidade Estadual de Campinas = University of Campinas
7 ENPC - École des Ponts ParisTech
8 UNIL - Université de Lausanne = University of Lausanne
9 NCU - National Central University [Taiwan]
10 LANL - Los Alamos National Laboratory
11 DTU - Danmarks Tekniske Universitet = Technical University of Denmark
12 USI - Università della Svizzera italiana = University of Italian Switzerland
13 ASR - Académie des sciences de Russie [Moscou] / Российская академия наук
14 ETH Zürich - Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich]

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.

Domaines: Analyse numérique [math.NA]

Inga Berre, Wietse M. Boon, Bernd Flemisch, Alessio Fumagalli, Dennis Gläser, et al.. Verification benchmarks for single-phase flow in three-dimensional fractured porous media. Advances in Water Resources, 2020, ⟨10.1016/j.advwatres.2020.103759⟩. ⟨hal-02867256⟩