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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 1(26), Pages 208–213
DOI: https://doi.org/10.14498/vsgtu1006
(Mi vsgtu1006)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces

G. T. Bulgakova, N. R. Kondratyeva

Ufa State Technical University, Ufa, Russia
Full-text PDF (533 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: A mathematical model of water displacement in vertical porous media is presented. The mathematical formulation takes the form of a nonlinear convection-diffusion equation. Its contribution comes from consideration of the three chief forces: viscous, capillary and gravity in oil recovery processes. A numerical model was based on the simulator Schlumberger ECLIPSE ver. 2004a_1. Finally, analytical and numerical results are compared.
Keywords: hydrodynamic modeling, mathematical modeling, gravity forces, capillary forces.
Original article submitted 16/X/2011
revision submitted – 20/XII/2011
Bibliographic databases:
Document Type: Article
UDC: 517.958:532.5.013
MSC: 76S05
Language: Russian
Citation: G. T. Bulgakova, N. R. Kondratyeva, “Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 208–213
Citation in format AMSBIB
\Bibitem{BulKon12}
\by G.~T.~Bulgakova, N.~R.~Kondratyeva
\paper Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 208--213
\mathnet{http://mi.mathnet.ru/vsgtu1006}
\crossref{https://doi.org/10.14498/vsgtu1006}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1006
  • https://www.mathnet.ru/eng/vsgtu/v126/p208
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:572
    Full-text PDF :297
    References:85
    First page:1
     
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