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MATHEMATICAL MODELING OF UNSTEADY FILTRATION OF ELASTIC LIQUID IN AN INHOMOGENEOUS RESERVOIR

https://doi.org/10.21822/2073-6185-2013-31-4-50-54

Abstract

The article considers the possibility of numerical solution of two-dimensional problem of unsteady filtration in an inhomogeneous elastic liquid reservoir. The problem of finding the distribution of the pressure p(x,y,t) in the process of exploitation of deposits is reduced to the solution of a differential equation of parabolic type with variable coefficients. The problem is solved approximately by using the method of finite differences.

About the Authors

A. G. Balamirzoev
Дагестанский государственный технический университет
Russian Federation


A. M. Zerbaliev
Дагестанский государственный технический университет
Russian Federation


V. V. Ivanov
Дагестанский государственный технический университет
Russian Federation


References

1. Максимов М. М„ Рыбицкая Л. П. Математическое моделирование процессов разработки нефтяных месторождений.-М.: Недра, 1976. 264 с.

2. Басниев К. С, Кочина И. Н., Максимов В. М. Подземная гидромеханика: Учебник для вузов.-М.: Недра, 1993. 416 с.


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For citations:


Balamirzoev A.G., Zerbaliev A.M., Ivanov V.V. MATHEMATICAL MODELING OF UNSTEADY FILTRATION OF ELASTIC LIQUID IN AN INHOMOGENEOUS RESERVOIR. Herald of Dagestan State Technical University. Technical Sciences. 2013;31(4):50-54. (In Russ.) https://doi.org/10.21822/2073-6185-2013-31-4-50-54

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ISSN 2073-6185 (Print)
ISSN 2542-095X (Online)