Convergence of iterative coupling for coupled flow and geomechanics

DOI10.1007/s10596-012-9318-yzbMath1392.35235OpenAlexW2034584048MaRDI QIDQ723264

Andro Mikelić, Mary Fanett Wheeler

Publication date: 30 July 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-012-9318-y

zbMATH Keywords

geomechanicsBiot systemDarcy flow equationiterative splitting

Mathematics Subject Classification ID

Related Items (only showing first 100 items - show all)

Global existence of weak solutions to unsaturated poroelasticity ⋮ Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics ⋮ An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure ⋮ Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport ⋮ A loosely-coupled scheme for the interaction between a fluid, elastic structure and poroelastic material ⋮ Iterative Coupling of Variational Space-Time Methods for Biot’s System of Poroelasticity ⋮ Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media ⋮ Analysis of partitioned methods for the <scp>B</scp>iot System ⋮ Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems ⋮ A two-grid simulation framework for fast monitoring of fault stability and ground deformation in multiphase geomechanics ⋮ Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium ⋮ Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches ⋮ Reactive flows in deformable, complex media. Abstracts from the workshop held September 21--27, 2014. ⋮ Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema ⋮ A Decoupling and Linearizing Discretization for Weakly Coupled Poroelasticity with Nonlinear Permeability ⋮ Splitting schemes with respect to physical processes for double-porosity poroelasticity problems ⋮ Scalable algorithms for three-field mixed finite element coupled poromechanics ⋮ An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters ⋮ Splitting scheme for poroelasticity and thermoelasticity problems ⋮ A two-stage preconditioner for multiphase poromechanics in reservoir simulation ⋮ A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs ⋮ Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media ⋮ Block-partitioned solvers for coupled poromechanics: a unified framework ⋮ Dynamic local coupling for multiphase flow: a compromise between efficiency and stability ⋮ IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media ⋮ Multiscale two-stage solver for Biot's poroelasticity equations in subsurface media ⋮ Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model ⋮ A posteriori error estimates for Biot system using a mixed discretization for flow ⋮ An enhanced sequential fully implicit scheme for reservoir geomechanics ⋮ Accuracy of fully coupled and sequential approaches for modeling hydro- and geomechanical processes ⋮ Homogenized modeling for vascularized poroelastic materials ⋮ Robust Block Preconditioners for Biot’s Model ⋮ Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems ⋮ A sequential discontinuous Galerkin method for the coupling of flow and geomechanics ⋮ Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium ⋮ A partially parallel-in-time fixed-stress splitting method for Biot's consolidation model ⋮ Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media ⋮ A robust solution strategy for the Cahn-Larché equations ⋮ Optimal design of hydraulic fracturing in porous media using the phase field fracture model coupled with genetic algorithm ⋮ Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport ⋮ Convergence analysis of fixed stress split iterative scheme for anisotropic poroelasticity with tensor Biot parameter ⋮ A finite difference method for earthquake sequences in poroelastic solids ⋮ Sequential-implicit Newton method for multiphysics simulation ⋮ A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics ⋮ Three-way coupling of multiphase flow and poromechanics in porous media ⋮ A splitting-based finite element method for the Biot poroelasticity system ⋮ A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach ⋮ Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations ⋮ Evaluating linear and nonlinear solvers for density driven flow ⋮ Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach ⋮ Network-inspired versus Kozeny-Carman based permeability-porosity relations applied to Biot's poroelasticity model ⋮ A posteriori error estimates for Biot system using enriched Galerkin for flow ⋮ A fixed-stress split strategy for two-phase flow in heterogeneous poroelastic media overlain by viscoelastic rock salt layers ⋮ Using poro-elasticity to model the large deformation of tissue during subcutaneous injection ⋮ On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media ⋮ Numerical Simulation of a Phase-Field Model for Reactive Transport in Porous Media ⋮ Iterative Coupling for Fully Dynamic Poroelasticity ⋮ Coupled Flow and Mechanics in a 3D Porous Media with Line Sources ⋮ A new numerically stable sequential algorithm for coupled finite-strain elastoplastic geomechanics and flow ⋮ Unconditionally stable sequential schemes for all-way coupled thermoporomechanics: undrained-adiabatic and extended fixed-stress splits ⋮ Enriched Galerkin finite elements for coupled poromechanics with local mass conservation ⋮ New stabilized discretizations for poroelasticity and the Stokes' equations ⋮ Convergence analysis of two-grid fixed stress split iterative scheme for coupled flow and deformation in heterogeneous poroelastic media ⋮ An updated Lagrangian LBM-DEM-FEM coupling model for dual-permeability fissured porous media with embedded discontinuities ⋮ A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media ⋮ A variational phase-field model for hydraulic fracturing in porous media ⋮ Robust fixed stress splitting for Biot's equations in heterogeneous media ⋮ Preconditioning Markov chain Monte Carlo method for geomechanical subsidence using multiscale method and machine learning technique ⋮ Comparison of fully-coupled and sequential solution methodologies for enhanced geothermal systems ⋮ Virtual element methods for the three-field formulation of time-dependent linear poroelasticity ⋮ Approximate inverse-based block preconditioners in poroelasticity ⋮ Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media ⋮ Efficient solvers for hybridized three-field mixed finite element coupled poromechanics ⋮ A new two-scale computational model for hydromechanical coupling in jointed rocks ⋮ Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem ⋮ Modeling geomechanical impact of fluid storage in poroelastic media using precomputed response functions ⋮ Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics ⋮ Discrete fracture model for coupled flow and geomechanics ⋮ Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems ⋮ Modeling fluid flow and compaction in sedimentary basins using mixed finite elements ⋮ Unified thermo-compositional-mechanical framework for reservoir simulation ⋮ Phase-Field Modeling of Two Phase Fluid Filled Fractures in a Poroelastic Medium ⋮ Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media ⋮ A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media ⋮ Numerical solvers for a poromechanic problem with a moving boundary ⋮ Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models ⋮ Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation ⋮ Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics ⋮ Phase-field modeling of proppant-filled fractures in a poroelastic medium ⋮ Iterative splitting schemes for a soft material poromechanics model ⋮ Iterative methods for solving a poroelastic shell model of Naghdi's type ⋮ On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics ⋮ Cracking and damage from crystallization in pores: coupled chemo-hydro-mechanics and phase-field modeling ⋮ A new sequential method for three-phase immiscible flow in poroelastic media ⋮ Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity ⋮ Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium ⋮ Flow and transport in fractured poroelastic media ⋮ Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model ⋮ A mixed virtual element method for Biot's consolidation model ⋮ Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity

This page was built for publication: Convergence of iterative coupling for coupled flow and geomechanics