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Journal of Mining Sciences

2014 year, number 1

Elastic Wave in a Coal Bed under Nonuniform Desorption

A. V. FEDOROV
Khristianovich Institute of Theoretical and Applied Mechanics Siberian Branch, Russian Academy of Sciences, ul. Institutskaya 4/1, Novosibirsk, 630090 Russia
Keywords: многофазные среды, неравновесная фильтрация, multi-phase media, nonequilibrium filtration

Abstract

The processes of free and absorbed coal gas filtration and diffusion are described using the earlier offered mathematical model in the form of the set of nonhomogenous parabolic equations. Movement of such medium is considered in the form of a progressive (shock) wave, i.e., the self-similar approximation. It is proved that the problem reduces to the plane boundary value problem of the quality theory of the regular differential equations. The effect of the gas sorption relaxation time on the shock wave structure is quantitatively estimated.