Intersecting fractures in porous media: mathematical and numerical analysis

DOI10.1080/00036811.2021.1981878zbMath1512.65247OpenAlexW3203169680MaRDI QIDQ6099948

Jean Elizabeth Roberts, Zoubida Mghazli, Michel Kern, Laila Amir

Publication date: 21 June 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1981878

zbMATH Keywords

domain decompositionporous mediamixed finite elementfractured media

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Fast and accuracy-preserving domain decomposition methods for reduced fracture models with nonconforming time grids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimization approach for large scale simulations of discrete fracture network flows
• An efficient multi-point flux approximation method for discrete fracture-matrix simulations
• Domain decomposition for an asymptotic geological fault modeling
• A quasi steady state method for solving transient Darcy flow in complex 3D fractured networks accounting for matrix to fracture flow
• Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model
• Domain decomposition methods for the numerical solution of partial differential equations
• Modeling fractures as interfaces: A model for Forchheimer fractures
• Dimensionally reduced flow models in fractured porous media: crossings and boundaries
• Model reduction and discretization using hybrid finite volumes for flow in porous media containing faults
• Flow simulations in porous media with immersed intersecting fractures
• Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
• A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models
• Guaranteed \textit{a posteriori} error estimates for a fractured porous medium
• Implementation of mixed-dimensional models for flow in fractured porous media
• Formal upscaling and numerical validation of unsaturated flow models in fractured porous media
• A reduced fracture model for two-phase flow with different rock types
• Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
• A residual \textit{a posteriori} error estimators for a model for flow in porous media with fractures
• A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media
• Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model
• A review of the XFEM-based approximation of flow in fractured porous media
• The virtual element method for underground flow simulations in fractured media
• Unified approach to discretization of flow in fractured porous media
• A Simple Introduction to the Mixed Finite Element Method
• A reduced model for Darcy’s problem in networks of fractures
• A Generalized Mixed Hybrid Mortar Method for Solving Flow in Stochastic Discrete Fracture Networks
• A Mortar BDD Method for Solving Flow in Stochastic Discrete Fracture Networks
• Numerical modelling of multiphase subsurface flow in the presence of fractures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Flow Simulation in Three-Dimensional Discrete Fracture Networks
• Asymptotic and numerical modelling of flows in fractured porous media
• Mixed and Hybrid Finite Element Methods
• An analysis of the convergence of mixed finite element methods
• Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
• Robust Discretization of Flow in Fractured Porous Media
• Balancing Domain Decomposition for Mixed Finite Elements
• Mixed Finite Element Methods and Applications
• Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
• Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
• Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media
• Balancing domain decomposition for mortar mixed finite element methods
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM

This page was built for publication: Intersecting fractures in porous media: mathematical and numerical analysis