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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 1, Pages 61–74
DOI: https://doi.org/10.15372/SJNM20160105 (Mi sjvm602) 		 
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
Full-text PDF (1201 kB) Citations (9)
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DOI: https://doi.org/10.15372/SJNM20160105
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.
Funding agency Grant number
Russian Science Foundation 15-11-10024
Received: 24.11.2014
Revised: 25.05.2015
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 1, Pages 45–56
DOI: https://doi.org/10.1134/S1995423916010055
Bibliographic databases:
Document Type: Article
UDC: 519.63+517.958
Language: Russian
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
Citation in format AMSBIB
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