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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu1006 https://www.mathnet.ru/eng/vsgtu/v126/p208
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