Modeling doubly periodic system of producing wells
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 5-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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The present work examines the filtration of viscous fluid in the system of periodically arranged output wells. The system of wells is modeled using flat infinite doubly periodic lattice of point drains of equal power. In the paper a mathematical model to analyze the impact of lattice structure on the behavior of fluid was constructed.
Mots-clés : filtration, oil production
Keywords: elliptic functions.
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V. I. Astaf'ev; P. V. Roters. Modeling doubly periodic system of producing wells. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 5-11. http://geodesic.mathdoc.fr/item/VSGU_2010_4_a0/

[1] Lavrentev M. A., Shabat B. V., Problemy gidrodinamiki i ikh matematicheskie modeli, Nauka, M., 1973, 416 pp. | MR

[2] O'Neil K. A., “O gamiltonovoi dinamike vikhrevykh reshetok”, Fundamentalnye i prikladnye problemy teorii vikhrei, 30(6) (2003), 336–353 | MR

[3] Tkachenko V. K., “O vikhrevykh reshetkakh”, ZhETF, 49:6(12) (1965), 1875–1883

[4] Akhiezer N. I., Elementy teorii ellipticheskikh funktsii, Nauka, M., 1970, 304 pp. | MR | Zbl

[5] Schelkachev V. N., Izbrannye trudy, Nedra, M., 1990, 399 pp.