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Multiscale modeling of flow and geomechanics. (English) Zbl 1302.76174

Bastian, Peter (ed.) et al., Simulation of flow in porous media. Applications in energy and environment. Based on the invited talks of the workshop “Simulation of flow and transport in porous media and applications in waste management and CO\(_2\) sequestration”, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 3–7, 2011. Berlin: de Gruyter (ISBN 978-3-11-028221-4/hbk; 978-3-11-028224-5/ebook). Radon Series on Computational and Applied Mathematics 12, 166-204 (2013).
Summary: Numerical methods for subsurface modeling are currently being extended to account for geomechanical effects. These include locally mass conservative discretizations such as mixed and multipoint flux finite elements, discontinuous Galerkin finite elements, and multiscale mortar finite elements. Advanced techniques are also being applied such as a posteriori error estimation, physics-based preconditioners, and stochastic modeling. This paper describes the authors’ work centered around the research simulator integrated parallel accurate reservoir simulator, including key points of previous work and current developments.
For the entire collection see [Zbl 1270.76004].

MSC:

76S05 Flows in porous media; filtration; seepage
76M10 Finite element methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
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