Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces

Roland Masson, Jerome Droniou, Francesco Bonaldi

Publication date: 27 June 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

convergence analysis contact mechanics poromechanics Darcy flow gradient discretization method discrete fracture matrix models discontinuous pressure model

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Linear elasticity with initial stresses (74B10) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations
An efficient multi-point flux approximation method for discrete fracture-matrix simulations
Domain decomposition for an asymptotic geological fault modeling
A model for conductive faults with non-matching grids
Discrete fracture model for coupled flow and geomechanics
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
The gradient discretisation method
Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
Numerical analysis of a two-phase flow discrete fracture matrix model
Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media
A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures
A reduced fracture model for two-phase flow with different rock types
A fully coupled numerical model of thermo-hydro-mechanical processes and fracture contact mechanics in porous media
Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions
Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model
Unified approach to discretization of flow in fractured porous media
Gradient schemes for linear and non-linear elasticity equations
Mixed-dimensional poromechanical models of fractured porous media
Mimetic finite difference approximation of flows in fractured porous media
Variationally consistent discretization schemes and numerical algorithms for contact problems
Asymptotic and numerical modelling of flows in fractured porous media
Robust Discretization of Flow in Fractured Porous Media
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
A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix–fracture interfaces
Hybrid finite element methods for the Signorini problem
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
Limits of the Stokes and Navier–Stokes equations in a punctured periodic domain
Mixed Formulation of a Linearized Lubrication Fracture Model in a Poro-elastic Medium
A lubrication fracture model in a poro-elastic medium
Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
Computational Contact Mechanics
Mixed and Nitsche's discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics

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