A reduced model for Darcy’s problem in networks of fractures
ESAIM: M2AN, 48 4 (2014) 1089-1116
Published online: 2014-07-02
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Partitioning Dynamics of Gravity‐Driven Unsaturated Flow Through Simple T‐Shaped Fracture Intersections
Zhibing Yang, Song Xue, Xiaokang Zheng and Yi‐Feng ChenWater Resources Research 55 (8) 7130 (2019)
https://doi.org/10.1029/2018WR024349
Upscaling of the single-phase flow and heat transport in fractured geothermal reservoirs using nonlocal multicontinuum method
Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Valentin AlekseevComputational Geosciences 23 (4) 745 (2019)
https://doi.org/10.1007/s10596-019-9817-1
Unified approach to discretization of flow in fractured porous media
J. M. Nordbotten, W. M. Boon, A. Fumagalli and E. KeilegavlenComputational Geosciences 23 (2) 225 (2019)
https://doi.org/10.1007/s10596-018-9778-9
Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications
Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Denis SpiridonovApplied Mathematical Modelling 67 159 (2019)
https://doi.org/10.1016/j.apm.2018.10.025
Uncertainty Quantification in Discrete Fracture Network Models: Stochastic Geometry
Stefano Berrone, Claudio Canuto, Sandra Pieraccini and Stefano ScialòWater Resources Research 54 (2) 1338 (2018)
https://doi.org/10.1002/2017WR021163
Benchmarks for single-phase flow in fractured porous media
Bernd Flemisch, Inga Berre, Wietse Boon, et al.Advances in Water Resources 111 239 (2018)
https://doi.org/10.1016/j.advwatres.2017.10.036
On the numerical simulation of crack interaction in hydraulic fracturing
E. W. Remij, J. J. C. Remmers, J. M. Huyghe and D. M. J. SmeuldersComputational Geosciences 22 (1) 423 (2018)
https://doi.org/10.1007/s10596-017-9702-8
Robust Discretization of Flow in Fractured Porous Media
Wietse M. Boon, Jan M. Nordbotten and Ivan YotovSIAM Journal on Numerical Analysis 56 (4) 2203 (2018)
https://doi.org/10.1137/17M1139102
Domain Decomposition Methods in Science and Engineering XXIV
J. M. Nordbotten and W. M. BoonLecture 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
Dual Virtual Element Method for Discrete Fractures Networks
Alessio Fumagalli and Eirik KeilegavlenSIAM Journal on Scientific Computing 40 (1) B228 (2018)
https://doi.org/10.1137/16M1098231
Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
Konstantin Brenner, Julian Hennicker, Roland Masson and Pierre SamierJournal of Computational Physics 357 100 (2018)
https://doi.org/10.1016/j.jcp.2017.12.003
Computational Methods for Fracture in Porous Media
René de BorstComputational Methods for Fracture in Porous Media 13 (2018)
https://doi.org/10.1016/B978-0-08-100917-8.00002-2
A Double-Layer Reduced Model for Fault Flow on Slipping Domains with an Hybrid Finite Volume Scheme
Alessio Fumagalli and Isabelle FailleJournal of Scientific Computing 77 (2) 885 (2018)
https://doi.org/10.1007/s10915-018-0740-8
Multiscale model reduction for shale gas transport in poroelastic fractured media
I. Yucel Akkutlu, Yalchin Efendiev, Maria Vasilyeva and Yuhe WangJournal of Computational Physics 353 356 (2018)
https://doi.org/10.1016/j.jcp.2017.10.023
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
Katja K. Hanowski and Oliver SanderMathematical Models and Methods in Applied Sciences 28 (13) 2511 (2018)
https://doi.org/10.1142/S0218202518500549
Analysis of a mimetic finite difference approximation of flows in fractured porous media
Luca Formaggia, Anna Scotti and Federica SottocasaESAIM: Mathematical Modelling and Numerical Analysis 52 (2) 595 (2018)
https://doi.org/10.1051/m2an/2017028
Dual virtual element method in presence of an inclusion
Alessio FumagalliApplied Mathematics Letters 86 22 (2018)
https://doi.org/10.1016/j.aml.2018.06.004
Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions
Tobias Köppl, Ettore Vidotto, Barbara Wohlmuth and Paolo ZuninoMathematical Models and Methods in Applied Sciences 28 (05) 953 (2018)
https://doi.org/10.1142/S0218202518500252
A reduced fracture model for two-phase flow with different rock types
Elyes Ahmed, Jérôme Jaffré and Jean E. RobertsMathematics and Computers in Simulation 137 49 (2017)
https://doi.org/10.1016/j.matcom.2016.10.005
Impact of eliminating fracture intersection nodes in multiphase compositional flow simulation
Kenneth M. Walton, Andre J. A. Unger, Marios A. Ioannidis and Beth L. ParkerWater Resources Research 53 (4) 2917 (2017)
https://doi.org/10.1002/2016WR020088
Advances in computation of local problems for a flow-based upscaling in fractured reservoirs
Alessio Fumagalli, Stefano Zonca and Luca FormaggiaMathematics and Computers in Simulation 137 299 (2017)
https://doi.org/10.1016/j.matcom.2017.01.007
Non-stationary transport phenomena in networks of fractures: Effective simulations and stochastic analysis
Stefano Berrone, Sandra Pieraccini and Stefano ScialòComputer Methods in Applied Mechanics and Engineering 315 1098 (2017)
https://doi.org/10.1016/j.cma.2016.12.006
Mixed Virtual Elements for discrete fracture network simulations
Matías Fernando Benedetto, Andrea Borio and Stefano ScialòFinite Elements in Analysis and Design 134 55 (2017)
https://doi.org/10.1016/j.finel.2017.05.011
A residual-based a posteriori error estimator for single-phase Darcy flow in fractured porous media
Huangxin Chen and Shuyu SunNumerische Mathematik 136 (3) 805 (2017)
https://doi.org/10.1007/s00211-016-0851-9
Parallel vertex approximate gradient discretization of hybrid dimensional Darcy flow and transport in discrete fracture networks
Feng Xing, Roland Masson and Simon LopezComputational Geosciences 21 (4) 595 (2017)
https://doi.org/10.1007/s10596-016-9606-z
Geometrically Unfitted Finite Element Methods and Applications
André MassingLecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 259 (2017)
https://doi.org/10.1007/978-3-319-71431-8_8
Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM
Marco Del Pra, Alessio Fumagalli and Anna ScottiSIAM Journal on Numerical Analysis 55 (2) 785 (2017)
https://doi.org/10.1137/15M1022574
Fully Coupled Nonlinear Fluid Flow and Poroelasticity in Arbitrarily Fractured Porous Media: A Hybrid‐Dimensional Computational Model
L. Jin and M. D. ZobackJournal of Geophysical Research: Solid Earth 122 (10) 7626 (2017)
https://doi.org/10.1002/2017JB014892
Model reduction and discretization using hybrid finite volumes for flow in porous media containing faults
Isabelle Faille, Alessio Fumagalli, Jérôme Jaffré and Jean E. RobertsComputational Geosciences 20 (2) 317 (2016)
https://doi.org/10.1007/s10596-016-9558-3
Numerical analysis of Darcy problem on surfaces
Alberto Ferroni, Luca Formaggia and Alessio FumagalliESAIM: Mathematical Modelling and Numerical Analysis 50 (6) 1615 (2016)
https://doi.org/10.1051/m2an/2015095
Isogeometric analysis of fluid‐saturated porous media including flow in the cracks
J. Vignollet, S. May and R. de BorstInternational Journal for Numerical Methods in Engineering 108 (9) 990 (2016)
https://doi.org/10.1002/nme.5242
An evolutionary system for exploitation of fractured geothermal reservoirs
Mauro Castelli and Alessio FumagalliComputational Geosciences 20 (2) 385 (2016)
https://doi.org/10.1007/s10596-015-9552-1
Adaptive mixed finite element methods for Darcy flow in fractured porous media
Huangxin Chen, Amgad Salama and Shuyu SunWater Resources Research 52 (10) 7851 (2016)
https://doi.org/10.1002/2015WR018450
A Two-Scale Reduced Model for Darcy Flow in Fractured Porous Media
Huangxin Chen and Shuyu SunProcedia Computer Science 80 1324 (2016)
https://doi.org/10.1016/j.procs.2016.05.417
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
Konstantin Brenner, Mayya Groza, Cindy Guichard, Gilles Lebeau and Roland MassonNumerische Mathematik 134 (3) 569 (2016)
https://doi.org/10.1007/s00211-015-0782-x
Advances in Discretization Methods
Bernd Flemisch, Alessio Fumagalli and Anna ScottiSEMA SIMAI Springer Series, Advances in Discretization Methods 12 47 (2016)
https://doi.org/10.1007/978-3-319-41246-7_3
Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix–fracture interfaces
K. Brenner, J. Hennicker, R. Masson and P. SamierIMA Journal of Numerical Analysis drw044 (2016)
https://doi.org/10.1093/imanum/drw044
Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
K. Brenner, M. Groza, C. Guichard and R. MassonESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 303 (2015)
https://doi.org/10.1051/m2an/2014034
A Parallel Solver for Large Scale DFN Flow Simulations
Stefano Berrone, Sandra Pieraccini, Stefano Scialò and Fabio ViciniSIAM Journal on Scientific Computing 37 (3) C285 (2015)
https://doi.org/10.1137/140984014
Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side
T. Köppl and B. WohlmuthSIAM Journal on Numerical Analysis 52 (4) 1753 (2014)
https://doi.org/10.1137/130927619
An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media
Alessio Fumagalli and Anna ScottiOil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69 (4) 555 (2014)
https://doi.org/10.2516/ogst/2013192