Steady flow in a deformable porous medium
Steady flow in a deformable porous medium
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DOI：
10.1002/mma.2862
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发表时间：
2014-05
影响因子：
2.9
通讯作者：
Yanzhao Cao;Song Chen;A. Meir
中科院分区：
文献类型：
--
作者：
Yanzhao Cao;Song Chen;A. Meir
考虑可变形多孔介质中稳定流动的非线性模型。流动由多孔弹性系统控制，该系统由多孔介质位移的弹性方程和流体压力的达西方程组成。当达西方程中的渗透率被假定取决于多孔介质的膨胀时，该多孔弹性系统是非线性的。该孔隙弹性系统弱解的存在性和唯一性是在对数据规律性的相当弱的假设下建立的。通过数值实验证明和验证了有限元近似的收敛性。版权所有 © 2013 约翰·威利父子有限公司
A nonlinear model for a steady flow in a deformable porous medium is considered. The flow is governed by the poroelasticity system consisting of an elasticity equation for the displacement of the porous medium and Darcy's equation for the pressure in the fluid. This poroelasticity system is nonlinear when the permeability in Darcy's equation is assumed to depend on the dilatation of the porous medium. Existence and uniqueness of a weak solution of this poroelasticity system is established under rather weak assumptions on the regularity of the data. Convergence of a finite element approximation is proved and verified through numerical experiments. Copyright © 2013 John Wiley & Sons, Ltd.