Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium
From MaRDI portal
Publication:341519
DOI10.1007/s10596-016-9573-4zbMath1391.76650OpenAlexW2470472984MaRDI QIDQ341519
Vivette Girault, Kundan Kumar, Mary Fanett Wheeler
Publication date: 16 November 2016
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10596-016-9573-4
Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media ⋮ Simulation of flow in deformable fractures using a quasi-Newton based partitioned coupling approach ⋮ Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces ⋮ Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media ⋮ Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions ⋮ Scalable algorithms for three-field mixed finite element coupled poromechanics ⋮ Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media ⋮ Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model ⋮ Some optimally convergent algorithms for decoupling the computation of Biot's model ⋮ A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix-fracture interfaces ⋮ Analysis of dynamic ruptures generating seismic waves in a self-gravitating planet: An iterative coupling scheme and well-posedness ⋮ Splitting schemes for the thermoporoelasticity problem in fractured media ⋮ Multiscale model reduction for shale gas transport in poroelastic fractured media ⋮ Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems ⋮ Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium ⋮ Optimal design of hydraulic fracturing in porous media using the phase field fracture model coupled with genetic algorithm ⋮ Bayesian inversion for steady flow in fractured porous media with contact on fractures and hydro-mechanical coupling ⋮ Three-way coupling of multiphase flow and poromechanics in 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 ⋮ On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media ⋮ Dimensional reduction of a fractured medium for a polymer EOR model ⋮ Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces ⋮ Iterative solvers for Biot model under small and large deformations ⋮ Approximate inverse-based block preconditioners in poroelasticity ⋮ Efficient solvers for hybridized three-field mixed finite element coupled poromechanics ⋮ Modeling geomechanical impact of fluid storage in poroelastic media using precomputed response functions ⋮ Robust iterative schemes for non-linear poromechanics ⋮ Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media ⋮ Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media ⋮ Splitting method for elliptic equations with line sources ⋮ Mixed Formulation of a Linearized Lubrication Fracture Model in a Poro-elastic Medium ⋮ Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications ⋮ Constrained energy minimization based upscaling for coupled flow and mechanics ⋮ Multidomain mixed variational analysis of transport flow through elastoviscoplastic porous media ⋮ Accuracy of a coupled mixed and Galerkin finite element approximation for poroelasticity ⋮ A Relaxed Physical Factorization Preconditioner for Mixed Finite Element Coupled Poromechanics ⋮ Numerical aspects of hydro-mechanical coupling of fluid-filled fractures using hybrid-dimensional element formulations and non-conformal meshes ⋮ Enhanced relaxed physical factorization preconditioner for coupled poromechanics ⋮ Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media ⋮ Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model ⋮ Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits
- Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
- Convergence of iterative coupling for coupled flow and geomechanics
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- Elasto-plastic consolidation of soil
- Diffusion in poro-elastic media
- Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
- Mixed finite elements for the Richards' equation: linearization procedure
- A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS
- Finite Element Methods for Navier-Stokes Equations
- A lubrication fracture model in a poro-elastic medium
- A quasi-static phase-field approach to pressurized fractures
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- The Mathematical Theory of Finite Element Methods
