Geodesic
Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 208-213

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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. 
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     title = {Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces},
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G. T. Bulgakova; N. R. Kondratyeva. Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 208-213. http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a21/