Short Communication
Mathematical Modelling

Productivity analysis of doubly periodic systems of production wells

P. V. Roters

Samara State University, Samara, Russia

Abstract: The article presents a mathematical model, which allows to analyze the productivity of systems of production wells. System of wells is modeled by a flat infinite doubly periodic lattice of point sinks of equal power. Also an analytic representation for the Dietz's shape factor is presented, which agrees with numerical calculations by the method of imaginary producing wells.

Keywords: filtration, oil production, productivity index.

UDC: 517.958:531.72

MSC: 76S05

Original article submitted 20/V/2011
revision submitted – 30/VI/2011

DOI: 10.14498/vsgtu967

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