Numerical Modelling of Steady-State Flow in 2D Cracked Anisotropic Porous Media by Singular Integral Equations Method
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- 作者：Ahmad Pouya (1) ahmad.pouya@enpc.fr
Minh-Ngoc Vu (123) vum@cermes.enpc.fr - 关键词：Porous media – ; Cracks – ; Steady ; state flow – ; Singular integral equations – ; Effective permeability
- 刊名：Transport in Porous Media
- 出版年：2012
- 出版时间：July 2012
- 年：2012
- 卷：93
- 期：3
- 页码：475-493
- 全文大小：773.6 KB
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- 刊物类别：Earth and Environmental Science
- 刊物主题：Earth sciences
Geotechnical Engineering
Industrial Chemistry and Chemical Engineering
Civil Engineering
Hydrogeology
Mechanics, Fluids and Thermodynamics - 出版者：Springer Netherlands
- ISSN：1573-1634
文摘
The equations governing plane steady-state flow in heterogeneous porous media containing curved-line intersecting cracks (Pouya and Ghabezloo in Transp Porous Media 84:511–532, 2010) and the potential solution obtained for these equations are considered here. The theoretical results are first completed for the mass balance at crack intersections points. Then, a numerical procedure based on a singular integral equations method is described concretely to derive this solution for cracked materials. Closed-form expressions of elementary integrals for special choice of collocation points lead to a very quick and easy numerical method. It is shown that this method can be applied efficiently to the study of the steady-state flow in cracked materials with anisotropic matrix permeability and a dense distribution of curved-line intersecting cracks. Some applications of this method to the permeability of cracked materials are given.