Convergence of iterative coupling for coupled flow and geomechanics
Convergence of iterative coupling for coupled flow and geomechanics
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DOI：
10.1007/s10596-012-9318-y
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发表时间：
2013-06
影响因子：
2.5
通讯作者：
A. Mikelić;M. Wheeler
中科院分区：
文献类型：
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作者：
A. Mikelić;M. Wheeler
在本文中，我们考虑在多孔介质中，包括流体和结构的相互作用的复杂过程建模的算法。许多现场应用将受益于更好地理解和集成的多孔流动和固体变形。在环境和石油工程中的重要应用包括碳封存、地表沉降、孔隙塌陷、空腔生成、水力压裂、热压裂、井筒塌陷、出砂、断层活化和废物处理，而类似的问题也出现在生物科学和化学科学中。在这里，我们考虑迭代求解流动和力学的耦合。我们采用混合有限元方法的流动和连续伽辽金方法的弹性。对于单相流，我们证明了两个广泛使用的计划，不排水分裂和固定应力分裂的收敛性和收敛速度。我们讨论了扩展的固定应力迭代耦合方案的状态方程组分流模型耦合弹性和单相孔隙弹性模型一般六面体网格。计算结果。
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.