This article is cited in 5 papers

Mathematics

Modeling doubly periodic system of producing wells

V. I. Astaf'ev, P. V. Roters

Dept. of Information Systems Security, Samara State University, Samara, 443011, Russia

Abstract: 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.

Keywords: filtration, oil production, elliptic functions.

UDC: 519.999

Received: 22.03.2010
Revised: 22.03.2010