A priori error estimates for the numerical solution of a coupled geomechanics and reservoir flow model with stress-dependent permeability

DOI10.1007/s10596-010-9186-2zbMath1381.76333OpenAlexW2101566317WikidataQ60368635 ScholiaQ60368635MaRDI QIDQ601251

Sílvia Barbeiro, Mary Fanett Wheeler

Publication date: 3 November 2010

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

Full work available at URL: http://hdl.handle.net/10316/11171

zbMATH Keywords

mixed finite elementsa priori error estimatesporo-elasticitystress-sensitive reservoir problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

Related Items (8)

Quasilinear poroelasticity: Analysis and hybrid finite element approximation ⋮ Numerical investigations of degenerate equations for fluid flow and reactive transport in clogging porous media ⋮ A mixed element analysis of the Biot's model with <scp>Darcy–Forchheimer</scp> flow ⋮ Steady flow in a deformable porous medium ⋮ Convergence analysis of \(H(\operatorname{div})\)-conforming finite element methods for a nonlinear poroelasticity problem ⋮ Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes ⋮ Modeling fluid flow and compaction in sedimentary basins using mixed finite elements ⋮ Accuracy of a coupled mixed and Galerkin finite element approximation for poroelasticity

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• A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Mixed and Hybrid Finite Element Methods
• Computational Methods for Multiphase Flows in Porous Media

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