NDLI: Numerical convergence study of iterative coupling for coupled flow and geomechanics

Content Provider	Springer Nature Link
Author	Mikelić, Andro Wang, Bin Wheeler, Mary F.
Copyright Year	2013
Abstract	In this paper, we consider algorithms for modeling complex processes in porous media that include fluid and structure interactions. Numerous field applications would benefit from a better understanding and integration of porous flow and solid deformation. Important applications in environmental and petroleum engineering include carbon sequestration, surface subsidence, pore collapse, cavity generation, hydraulic fracturing, thermal fracturing, wellbore collapse, sand production, fault activation, and waste disposal, while similar issues arise in biosciences and chemical sciences as well. Here, we consider solving iteratively the coupling of flow and mechanics. We employ mixed finite element method for flow and a continuous Galerkin method for elasticity. For single-phase flow, we demonstrate the convergence and convergence rates for two widely used schemes, the undrained split and the fixed stress split. We discuss the extension of the fixed stress iterative coupling scheme to an equation of state compositional flow model coupled with elasticity and a single-phase poroelasticity model on general hexahedral grids. Computational results are presented.
Starting Page	325
Ending Page	341
Page Count	17
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	18
Issue Number	3-4
e-ISSN	15731499
Language	English
Publisher	Springer International Publishing
Publisher Date	2014-01-14
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Poroelasticity Iterative coupling Contraction mapping Compositional flow Multipoint flux mixed finite element method Earth Sciences Geotechnical Engineering & Applied Earth Sciences Hydrogeology Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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