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

被引：71

作者：

Berre, Inga ^{[1
]}

Boon, Wietse M. ^{[2
]}

Flemisch, Bernd ^{[3
]}

Fumagalli, Alessio ^{[1
,4
]}

Glaeser, Dennis ^{[3
]}

Keilegavlen, Eirik ^{[1
]}

Scotti, Anna ^{[4
]}

Stefansson, Ivar ^{[1
]}

Tatomir, Alexandru ^{[5
,6
]}

Brenner, Konstantin ^{[7
]}

Burbulla, Samuel ^{[8
]}

Devloo, Philippe ^{[9
]}

Duran, Omar ^{[9
]}

Favino, Marco ^{[10
]}

Hennicker, Julian ^{[11
]}

Lee, I-Hsien ^{[12
,13
]}

Lipnikov, Konstantin ^{[14
]}

Masson, Roland ^{[7
]}

Mosthaf, Klaus ^{[15
]}

Nestola, Maria Giuseppina Chiara ^{[16
]}

Ni, Chuen-Fa ^{[12
,13
]}

Nikitin, Kirill ^{[17
]}

Schadle, Philipp ^{[18
]}

Svyatskiy, Daniil ^{[14
]}

Yanbarisov, Ruslan ^{[17
]}

Zulian, Patrick ^{[16
]}

机构：

[1] Univ Bergen, Dept Math, Allegaten 41, N-5007 Bergen, Norway

[2] KTH Royal Inst Technol, Dept Math, Lindstedtsvagen 25, S-11428 Stockholm, Sweden

[3] Univ Stuttgart, Dept Hydromech & Modelling Hydrosyst, Pfaffenwaldring 61, D-70569 Stuttgart, Germany

[4] Politecn Milan, Lab Modeling & Sci Comp, Pza Leonardo da Vinci 32, I-20133 Milan, Italy

[5] Univ Gottingen, Dept Appl Geol, Geosci Ctr, Goldschmidtstr 3, D-3707 Gottingen, Germany

[6] Uppsala Univ, Dept Earth Sci, Villavagen 16, S-75236 Uppsala, Sweden

[7] Univ Cote dAzar, CNRS, INRIA, LJAD, Nice, France

[8] Univ Stuttgart, Inst Appl Anal & Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

[9] FEC Univ Estadual Campinas, R Josiah Willard Gibbs 85 Cidade Univ, BR-13083839 Campinas, SP, Brazil

[10] Univ Lausanne, Inst Earth Sci, UNIL Mouline, Bldg Geopolis, CH-1015 Lausanne, Switzerland

[11] Univ Genave, Sect Math, 2-4 Rue Liavre,CP 64, CH-1211 Genave, Switzerland

[12] Natl Cent Univ, Grad Inst Appl Geol, Taipei, Taiwan

[13] Natl Cent Univ, Ctr Environm Studies, Taipei, Taiwan

[14] Los Alamos Natl Lab, Los Alamos, NM USA

[15] Tech Univ Denmark, Dept Environm Engn, Bldg 115, DK-2800 Lyngby, Denmark

[16] Univ Svizzera Italiana, Inst Computat Sci, Med & Engn Grp, Numer Simulat Sci, Via G Buffi 13, CH-6900 Lugano Ticino, Switzerland

[17] Russian Acad Sci, Marchuk Inst Numer Math, Moscow, Russia

[18] Swiss Fed Inst Technol, Inst Geophys, Geothermal Energy & Geofluids Grp, CH-8092 Zurich, Switzerland

来源：

ADVANCES IN WATER RESOURCES | 2021年 / 147卷

基金：

巴西圣保罗研究基金会; 瑞士国家科学基金会;

关键词：

2-PHASE FLOW; DISCRETIZATION; MODEL;

D O I：

10.1016/j.advwatres.2020.103759

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

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.

引用

页数：23

共 42 条

[1] A reduced fracture model for two-phase flow with different rock types [J].

Ahmed, Elyes ;

Jaffre, Jerome ;

Roberts, Jean E. .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 137 :49-70

[2] ASYMPTOTIC AND NUMERICAL MODELLING OF FLOWS IN FRACTURED POROUS MEDIA [J].

Angot, Philippe ;

Boyer, Franck ;

Hubert, Florence .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 43 (02) :239-275

[3] MIXED-DIMENSIONAL GEOMETRIC MULTIGRID METHODS FOR SINGLE-PHASE FLOW IN FRACTURED POROUS MEDIA [J].

Arraras, Andres ;

Gaspar, Francisco J. ;

Portero, Laura ;

Rodrigo, Carmen .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 41 (05) :B1082-B1114

[4]

Barlag C., 1998, 3 INT C HYDR ENG COT

[5]

Berre I., 2018, 180906926 ARXIV

[6]

Berre I., 2020, DATA REPOSITORY THIS

[7] Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches [J].

Berre, Inga ;

Doster, Florian ;

Keilegavlen, Eirik .

TRANSPORT IN POROUS MEDIA, 2019, 130 (01) :215-236

[8] ROBUST DISCRETIZATION OF FLOW IN FRACTURED POROUS MEDIA [J].

Boon, Wietse M. ;

Nordbotten, Jan M. ;

Yotov, Ivan .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 56 (04) :2203-2233

[9]

Braack M, 2004, NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, P159

[10] Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix-fracture interfaces [J].

Brenner, K. ;

Hennicker, J. ;

Masson, R. ;

Samier, P. .

IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 37 (03) :1551-1585

← 1 2 3 4 5 →