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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
References:
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
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    2. V. A. Trofimov, “The influence of formation water on mass transfer in tine coal seam”, Nexo Rev. Cient., 34:1 (2021), 390–403  crossref  isi
    3. E. S. Batyrshin, O. A. Solnyshkina, Yu. A. Pityuk, “Study of the features of double porosity media impregnation”, Tech. Phys., 66:4 (2021), 543–547  mathnet  mathnet  crossref  crossref  scopus
    4. A. Grigorev, S. Stepanov, Dj. Nikiforov, “Neural networks for multicontinuum models”, J. Phys.: Conf. Ser., 1392:1 (2019), 012068  crossref
    5. V. I. Vasilev, M. V. Vasileva, A. V. Grigorev, G. A. Prokopev, “Matematicheskoe modelirovanie zadachi dvukhfaznoi filtratsii v neodnorodnykh treschinovato-poristykh sredakh s ispolzovaniem modeli dvoinoi poristosti i metoda konechnykh elementov”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2018, 165–182  mathnet
    6. Yu. M. Laevsky, A. V. Grigor'ev, P. G. Yakovlev, “On a double porosity model of fractured-porous reservoirs based on a hybrid flow function”, Numer. Anal. Appl., 11:2 (2018), 121–133  mathnet  crossref  mathscinet  isi  scopus
    7. M. V. Vasileva, V. I. Vasilev, A. A. Krasnikov, D. Ya. Nikiforov, “Chislennoe modelirovanie techeniya odnofaznoi zhidkosti v treschinovatykh poristykh sredakh”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 159, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2017, 100–115  mathnet  elib
    8. E. A. Mikishanina, A. G. Terentev, “Ob opredelenii napryazhennogo sostoyaniya uprugo-poristoi sredy”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 159, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2017, 204–215  mathnet  elib
    9. V. N. Alekseev, M. V. Vasileva, G. A. Prokopev, A. A. Tyrylgin, “Modeli termouprugosti dlya poristykh materialov s uchetom nalichiya treschin”, Matematicheskie zametki SVFU, 24:3 (2017), 19–37  mathnet  crossref  elib
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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