Mathematical model of oil displacement by water-gas mixture

About the authors:

Vladimir N. Kutrunov, Dr. Sci. (Phys.-Math.), Professor, Department of Algebra and Mathematical Logics, University of Tyumen

Egor A. Padin, Postgraduate of the Department of Algebra and Mathematical Logic Tyumen State University

Abstract:

Due to the increasing volume of tight oil it becomes necessary to use modern methods of stimulation. Along with the traditional fl ooding on the fi elds that are in late-stage development or with high-viscosity oil, there are widespread water-gas methods that allow the use of the favorable properties of the gas and water. This article discusses the process of oil displacement by water-gas mixture with the formation of microbubbles by using the foaming properties of the oil. The formation of micro-bubbles accompanied by the effects of «gas bearing», change oil viscosity. The mathematical description of a one-dimensional process of oil displacement by water-gas mixture with the formation of microbubbles is presented. The comparison of the effectiveness of various technologies injection gas mixture is shown. The optimum ratio of water to gas in the mixture is found, which allows to maximize displacement of oil in comparison to the standard techniques. Several problems, solved numerically by IMPES method, are considered.

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