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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2011 Volume 14, Number 3, Pages 79–86 (Mi sjim685)

This article is cited in 1 paper

Some models of hydraulic shock in an oil-bearing layer

I. V. Nekrasova

Belgorod State University, Belgorod, RUSSIA

Abstract: We propose two mathematical models for determining pressure field distribution in a layer near a well during a hydraulic shock. The derivation of the models rests on a strict averaging of the exact equations describing the joint motion of solid ground and a viscous fluid filling the pores on a microscopic level.

Keywords: hydraulic fracturing, Stokes and Lamé equations, two-scale convergence.

UDC: 517.958+531.72+539.3/4

Received: 11.10.2010



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