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A hybrid upwind scheme for two-phase flow in fractured porous media
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Discrete fracture‐matrix model of poroelasticity
Jan Březina and Jan Stebel ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 104(4) (2024) https://doi.org/10.1002/zamm.202200469
A discrete fracture-matrix approach based on Petrov-Galerkin immersed finite element for fractured porous media flow on nonconforming mesh
A numerical investigation on coupling of conforming and hybridizable interior penalty discontinuous Galerkin methods for fractured groundwater flow problems
High-fidelity experimental model verification for flow in fractured porous media
Jakub Wiktor Both, Bergit Brattekås, Eirik Keilegavlen, Martin Fernø and Jan Martin Nordbotten InterPore Journal 1(3) IPJ271124 (2024) https://doi.org/10.69631/ipj.v1i3nr31
Analytical Solution for Darcy Flow in a Bounded Fracture-Matrix Domain
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
Gradient discretization of a 3D-2D-1D mixed-dimensional diffusive model with resolved interface, application to the drying of a fractured porous medium
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
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix–fracture interfaces
Conservative numerical methods for the reinterpreted discrete fracture model on non-conforming meshes and their applications in contaminant transportation in fractured porous media
Dynamic modelling of overprinted low-permeability fault cores and surrounding damage zones as lower dimensional interfaces for multiphysics simulations
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
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
A nonlinear asymptotic model for the inertial flow at a fluid-porous interface
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
A robust VEM-based approach for flow simulations in poro-fractured media
Stefano Berrone, Andrea Borio, Alessandro D’Auria, Stefano Scialò and Fabio Vicini Mathematical Models and Methods in Applied Sciences 31(14) 2855 (2021) https://doi.org/10.1142/S0218202521500639
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
An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces
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
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
Laboratory and numerical investigation of saline intrusion in fractured coastal aquifers
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
A New Numerical Method for an Asymptotic Coupled Model of Fractured Media Aquifer System
The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes
Dual Virtual Element Methods for Discrete Fracture Matrix models
Alessio Fumagalli, Eirik Keilegavlen, A. Anciaux-Sedrakian and Q. H. Tran Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 74 41 (2019) https://doi.org/10.2516/ogst/2019008
A simple finite element method for elliptic bulk problems with embedded surfaces
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
A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media
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 Crank–Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes–Darcy problem