A Poroelasticity Model Using a Network-Inspired Porosity-Permeability Relation

Rahrah, Menel; Vermolen, F.J.; Lopez-Peña, Luis A.; Meulenbroek, Bernard

doi:10.1007/978-3-030-27550-1_11

Cited by 1 publication

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“…Adaptive computations were considered, for example, in the work of Ern and Meunier [52]. A Monte Carlo approach was proposed in the work of Rahrah and Vermolen [100]. For a discussion on the stability of different spatial discretizations, we refer to the recent papers [59,105].…”

Section: Continuous Galerkin Cg(p)mentioning

confidence: 99%

Robust fixed stress splitting for Biot’s equations in heterogeneous media

Both

Borregales

Nordbotten

et al. 2017

Applied Mathematics Letters

109

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This thesis concerns iterative solvers for poromechanics problems. The problems in the studies have involved linear poromechanics, non-linear poromechanics, and poromechanics under large deformation. We included high order discretizations, applied linearization techniques and splitting methods to develop new solvers. We studied the robustness and convergence of these solvers. By studying the fixed stress method as an iterative solver for poromechanics, we developed an optimized version of it. Furthermore, by extending the convergence analysis in the time domain, we developed a new version of the fixed stress method that is partially parallelized. This splitting method was combined with linearization techniques to develop solvers for non-linear poromechanics. By studying the convergence of the linearisation schemes, we developed new solvers and extended the applicability to more complex phenomena, for instance poromechanics with large deformation.

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Section: Continuous Galerkin Cg(p)mentioning

confidence: 99%