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Robust Discretization of Flow in Fractured Porous Media
Wietse M. Boon, Jan M. Nordbotten and Ivan Yotov SIAM Journal on Numerical Analysis 56(4) 2203 (2018) https://doi.org/10.1137/17M1139102
The hydromechanical equilibrium state of poroelastic media with a static fracture: A dimension-reduced model with existence results in weighted Sobolev spaces and simulations with an XFEM discretization
Domain Decomposition Methods in Science and Engineering XXIV
J. M. Nordbotten and W. M. Boon Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 87 (2018) https://doi.org/10.1007/978-3-319-93873-8_7
A Double-Layer Reduced Model for Fault Flow on Slipping Domains with an Hybrid Finite Volume Scheme
CVD-MPFA full pressure support, coupled unstructured discrete fracture–matrix Darcy-flux approximations
Raheel Ahmed, Michael G. Edwards, Sadok Lamine, Bastiaan A.H. Huisman and Mayur Pal Journal of Computational Physics 349 265 (2017) https://doi.org/10.1016/j.jcp.2017.07.041
Mixed Virtual Elements for discrete fracture network simulations
Andrea Villa, Luca Barbieri, Marco Gondola, Andres R. Leon-Garzon and Roberto Malgesini Journal of Computational Physics 345 687 (2017) https://doi.org/10.1016/j.jcp.2017.05.045
Flow simulations in porous media with immersed intersecting fractures
Numerical modeling of two-phase fluid flow in deformable fractured porous media using the extended finite element method and an equivalent continuum model
Mimetic finite difference approximation of flows in fractured porous media
Paola F. Antonietti, Luca Formaggia, Anna Scotti, Marco Verani and Nicola Verzott ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 809 (2016) https://doi.org/10.1051/m2an/2015087
An evolutionary system for exploitation of fractured geothermal reservoirs
Isogeometric analysis of fluid‐saturated porous media including flow in the cracks
J. Vignollet, S. May and R. de Borst International Journal for Numerical Methods in Engineering 108(9) 990 (2016) https://doi.org/10.1002/nme.5242
Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model
Raheel Ahmed, Michael G. Edwards, Sadok Lamine, Bastiaan A.H. Huisman and Mayur Pal Journal of Computational Physics 303 470 (2015) https://doi.org/10.1016/j.jcp.2015.10.001
Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model
A reduced model for Darcy’s problem in networks of fractures
Luca Formaggia, Alessio Fumagalli, Anna Scotti and Paolo Ruffo ESAIM: Mathematical Modelling and Numerical Analysis 48(4) 1089 (2014) https://doi.org/10.1051/m2an/2013132
An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media
Alessio Fumagalli and Anna Scotti Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69(4) 555 (2014) https://doi.org/10.2516/ogst/2013192
A numerical method for two-phase flow in fractured porous media with non-matching grids
Forchheimer’s correction in modelling flow and transport in fractured porous media
Alfio Grillo, Dmitriy Logashenko, Sabine Stichel and Gabriel Wittum Computing and Visualization in Science 15(4) 169 (2012) https://doi.org/10.1007/s00791-013-0208-1
Modeling flow in porous media with fractures; Discrete fracture models with matrix-fracture exchange