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High-fidelity experimental model verification for flow in fractured porous media
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Analytical Solution for Darcy Flow in a Bounded Fracture-Matrix Domain
A numerical investigation on coupling of conforming and hybridizable interior penalty discontinuous Galerkin methods for fractured groundwater flow problems
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium
Flow in Porous Media with Fractures of Varying Aperture
Samuel Burbulla, Maximilian Hörl and Christian Rohde SIAM Journal on Scientific Computing 45(4) A1519 (2023) https://doi.org/10.1137/22M1510406
Two-phase geothermal model with fracture network and multi-branch wells
Antoine Armandine Les Landes, Daniel Castanon Quiroz, Laurent Jeannin, Simon Lopez and Roland Masson The SMAI Journal of computational mathematics 9 121 (2023) https://doi.org/10.5802/smai-jcm.97
Mixed-dimensional poromechanical models of fractured porous media
An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
M.F. Benedetto, A. Borio, F. Kyburg, J. Mollica and S. Scialò Computer Methods in Applied Mechanics and Engineering 391 114204 (2022) https://doi.org/10.1016/j.cma.2021.114204
A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements
Murilo Camargo, Pedro R. Cleto, Michael A. Maedo, Eduardo A. Rodrigues, Luís A.G. Bitencourt and Osvaldo L. Manzoli Journal of Petroleum Science and Engineering 208 109700 (2022) https://doi.org/10.1016/j.petrol.2021.109700
A Two-Grid Decoupled Algorithm for a Multi-Dimensional Darcy–Brinkman Fracture Model
Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models
Martin J. Gander, Julian Hennicker and Roland Masson SIAM Journal on Numerical Analysis 59(1) 195 (2021) https://doi.org/10.1137/20M1312125
Polyhedral Methods in Geosciences
Konstantin Brenner, Julian Hennicker and Roland Masson SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 73 (2021) https://doi.org/10.1007/978-3-030-69363-3_3
Fate and transport of bromide and mononuclear aromatic hydrocarbons in aqueous solutions through Berea Sandstone
A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion
Joubine Aghili, Jean-Raynald de Dreuzy, Roland Masson and Laurent Trenty Journal of Computational Physics 441 110452 (2021) https://doi.org/10.1016/j.jcp.2021.110452
Numerical upscaling for heterogeneous materials in fractured domains
Fredrik Hellman, Axel Målqvist and Siyang Wang ESAIM: Mathematical Modelling and Numerical Analysis 55 S761 (2021) https://doi.org/10.1051/m2an/2020061
Polyhedral Methods in Geosciences
Paola F. Antonietti, Chiara Facciolà, Paul Houston, et al. SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 159 (2021) https://doi.org/10.1007/978-3-030-69363-3_5
Modeling and discretization of flow in porous media with thin, full‐tensor permeability inclusions
Michele Starnoni, Inga Berre, Eirik Keilegavlen and Jan Martin Nordbotten International Journal for Numerical Methods in Engineering 122(17) 4730 (2021) https://doi.org/10.1002/nme.6744
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, et al. ESAIM: Mathematical Modelling and Numerical Analysis 55(5) 1741 (2021) https://doi.org/10.1051/m2an/2021036
Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media
Dynamic modelling of overprinted low-permeability fault cores and surrounding damage zones as lower dimensional interfaces for multiphysics simulations
Verification benchmarks for single-phase flow in three-dimensional fractured porous media
Inga Berre, Wietse M. Boon, Bernd Flemisch, Alessio Fumagalli, Dennis Gläser, Eirik Keilegavlen, Anna Scotti, Ivar Stefansson, Alexandru Tatomir, Konstantin Brenner, Samuel Burbulla, Philippe Devloo, Omar Duran, Marco Favino, Julian Hennicker, I-Hsien Lee, Konstantin Lipnikov, Roland Masson, Klaus Mosthaf, Maria Giuseppina Chiara Nestola, Chuen-Fa Ni, Kirill Nikitin, Philipp Schädle, Daniil Svyatskiy, Ruslan Yanbarisov and Patrick Zulian Advances in Water Resources 147 103759 (2021) https://doi.org/10.1016/j.advwatres.2020.103759
Laboratory and numerical investigation of saline intrusion in fractured coastal aquifers
Georgios Etsias, Gerard A. Hamill, Daniel Campbell, Ryan Straney, Eric M. Benner, Jesús F. Águila, Mark C. McDonnell, Ashraf A. Ahmed and Raymond Flynn Advances in Water Resources 149 103866 (2021) https://doi.org/10.1016/j.advwatres.2021.103866
Conservative numerical methods for the reinterpreted discrete fracture model on non-conforming meshes and their applications in contaminant transportation in fractured porous media
Modeling the closure behavior of natural fractures in porous media using high aspect ratio interface elements
Heber A. Fabbri, Pedro R. Cleto, Aldo T. Gaiotto, Eduardo A. Rodrigues, Michael A. Maedo and Osvaldo L. Manzoli Journal of Petroleum Science and Engineering 196 107979 (2021) https://doi.org/10.1016/j.petrol.2020.107979
The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes
Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
Florian List, Kundan Kumar, Iuliu Sorin Pop and Florin Adrian Radu SIAM Journal on Mathematical Analysis 52(1) 239 (2020) https://doi.org/10.1137/18M1203754
Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids
Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media
Andrés Arrarás, Francisco J. Gaspar, Laura Portero and Carmen Rodrigo SIAM Journal on Scientific Computing 41(5) B1082 (2019) https://doi.org/10.1137/18M1224751
A multiscale flux basis for mortar mixed discretizations of reduced Darcy–Forchheimer fracture models
Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
Paola F. Antonietti, Chiara Facciolà, Alessandro Russo and Marco Verani SIAM Journal on Scientific Computing 41(1) A109 (2019) https://doi.org/10.1137/17M1138194
Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions
Joubine Aghili, Konstantin Brenner, Julian Hennicker, Roland Masson and Laurent Trenty GEM - International Journal on Geomathematics 10(1) (2019) https://doi.org/10.1007/s13137-019-0118-6
A Crank–Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes–Darcy problem