Effect of Desorption Nonequilibrium on Structure of Shock and Rarefaction Waves in Coal Bed
A. V. FEDOROV, A. V. SHUL’GIN
Khristianovich Institute of Theoretical and Applied Mechanics Siberian Branch, Russian Academy of Sciences, ul. Institutskaya 4/1, Novosibirsk, 630090 Russia
Keywords: nonequilibrium methane desorption kinetics, shock waves, rarefaction waves
Abstract
The authors propose a physico–mathematical model to describe nonequilibrium filtration and diffusion of free and absorbed gas in coal in the framework of heterogeneous medium mechanics considering physical desorption. The model consists of a set of nonhomogeneous parabolic equations with a rigid source member. In terms of problems on propagation of compression and rarefaction waves, effect of the nonequilibrium desorption on the width of these waves is revealed. The problem on initiation and steady–state of a shock wave in coal is solved.
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