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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 2, Pages 155–169
DOI: https://doi.org/10.15372/SJNM20180203 (Mi sjvm675) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the double porosity model of fractured-porous reservoirs based on the hybrid overflow function

A. V. Grigorevab, Yu. M. Laevskyac, P. G. Yakovleva

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
b North-Eastern Federal University named after M. K. Ammosov, 58 Belinskogo str., Yakutsk, 677000, Russia
c Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.15372/SJNM20180203
Abstract: The paper considers a model of double porosity for a fractured porous medium using a combination of classical and gradient mass transfer functions among cracks and porous blocks in the case of a flow of a weakly compressible single-phase fluid. As compared to well-known models, such a mass transfer function allows one to take into account the anisotropic properties of filtration in a more general form. The results of numerical tests for two-dimensional and three-dimensional model problems are presented. The computational algorithm is based on the use of finite element approximation with respect to space and completely implicit approximations with respect to time.
Key words: filtration, weakly compressible liquid, fractured-porous media, model of double porosity, overflow function, а priori, estimation, finite element method, implicit scheme.
Funding agency Grant number
Russian Science Foundation 15-11-10024
Received: 29.09.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 2, Pages 121–133
DOI: https://doi.org/10.1134/S1995423918020039
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: A. V. Grigorev, Yu. M. Laevsky, P. G. Yakovlev, “On the double porosity model of fractured-porous reservoirs based on the hybrid overflow function”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 155–169; Num. Anal. Appl., 11:2 (2018), 121–133
Citation in format AMSBIB
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