Abstract
It is noted that filtration and diffusion processes in coal seams, worked-out spaces and workings of carbon dioxide mines are satisfactorily described by parabolic filtration equations for one-dimensional semi-infinite space. Linearization of the equations of filtration gas transport allows obtaining analytical solutions for a wide class of applied problems. A model has been developed for the movement of dead air through underworked rocks from mined-out areas to the earth's surface for the conditions of the Eastern Donbass and Kuzbass. At a stable atmospheric pressure, gas exchange occurs in a diffusion mode. The dependence of the diffusion flow of gases from the worked-out space to the earth's surface is obtained. Dependencies for the forecast of methane release on the earth's surface of allotments of the liquidated mines of Kuz-Bass are obtained.
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