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This article is cited in 9 scientific papers (total in 9 papers)
Numerical modeling of a fluid flow in anisotropic fractured porous media
P. N. Vabishchevich, A. V. Grigoriev Ammosov North-Eastern Federal University, 58 Belinskii str., Yakutsk, Resp. Sakha (Yakutiya), 677000, Russia
Abstract:
A model of double porosity in the case of an anisotropic fractured porous medium is considered (Dmitriev, Maksimov; 2007). The function of the exchange flow between fractures and porous blocks, which depends on the direction of a flow, is investigated. The flow function is based on the difference between pressure gradients. This feature enables one to take into account anisotropic filtering properties in a more general form. The results of the numerical solution of the model two-dimensional problem are presented. The computational algorithm is based on the finite element spatial approximation and the explicit-implicit temporal approximation.
Key words:
double porosity model, anisotropic filtration, fractured porous media, gradient flow function.
Received: 24.11.2014 Revised: 25.05.2015
Citation:
P. N. Vabishchevich, A. V. Grigoriev, “Numerical modeling of a fluid flow in anisotropic fractured porous media”, Sib. Zh. Vychisl. Mat., 19:1 (2016), 61–74; Num. Anal. Appl., 9:1 (2016), 45–56
Linking options:
https://www.mathnet.ru/eng/sjvm602 https://www.mathnet.ru/eng/sjvm/v19/i1/p61
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Abstract page: | 426 | Full-text PDF : | 122 | References: | 73 | First page: | 54 |
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