Numerical convergence study of iterative coupling for coupled flow and geomechanics

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• 作者：Andro Mikeli? ; Bin Wang ; Mary F. Wheeler
• 关键词：Poroelasticity ; Iterative coupling ; Contraction mapping ; Compositional flow ; Multipoint flux mixed finite element method
• 刊名：Computational Geosciences
• 出版年：2014
• 出版时间：August 2014
• 年：2014
• 卷：18
• 期：3-4
• 页码：325-341
• 全文大小：4,203 KB
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• 作者单位：Andro Mikeli? (1) (2)
  Bin Wang (3)
  Mary F. Wheeler (3)
  
  1. Université de Lyon, Lyon, 69003, France
  2. Institut Camille Jordan, Université Lyon 1, UMR 5208, 43, Bd du 11 novembre 1918, 69622, Villeurbanne Cedex, France
  3. Center for Subsurface Modeling, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th Street, Austin, TX, 78712, USA
  
• ISSN：1573-1499

文摘

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.