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

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.

About the authors

Guzel T Bulgakova

Ufa State Technical University

(д.ф.-м.н., проф.), профессор, каф. математики; Уфимский государственный технический университет; Ufa State Technical University

Nailya R Kondratyeva

Ufa State Technical University

Email: kondratyevanr@mail.ru
аспирант, каф. математики; Уфимский государственный технический университет; Ufa State Technical University

References

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  4. Гиматудинов Ш. К. Физика нефтяного и газового пласта. М.: Недра, 1971. 312 с.

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