Article ID Journal Published Year Pages File Type
6418631 Journal of Mathematical Analysis and Applications 2013 15 Pages PDF
Abstract

In the present paper, we derive macroscopic mathematical models of the pressure distribution field near the oil well during the hydraulic shock. To get these models we follow the scheme, suggested by J. Keller and R. Burridge. This scheme is based upon a rigorous homogenization of the exact mathematical model, describing on a microscopic level the joint motion of an elastic solid skeleton and a viscous fluid filling the pores.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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