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

DOI10.1142/S0218202518500549zbMath1411.76064OpenAlexW2888661949WikidataQ129338150 ScholiaQ129338150MaRDI QIDQ4630543

Katja K. Hanowski, Oliver Sander

Publication date: 27 March 2019

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202518500549

zbMATH Keywords

fractureporoelasticityexistence resultXFEMdiscretization errors

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Brittle fracture (74R10) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Multiscale model reduction for shale gas transport in poroelastic fractured media ⋮ Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces ⋮ Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media

Uses Software

• DUNE

Cites Work

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