The problem of dust lifting behind a shock wave is solved within the framework of the equilibrium model of mechanics of heterogeneous media. Verification of the model proposed is performed. It is shown that different flow patterns are formed in layers with different shapes of the edge and constant-or variable-amplitude shock waves. Allowance for turbulence of the mixture leads to origination of a high-velocity nearwall trickle at the edge of the layer, and the particles are lifted to a greater height.

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Within the nonstationary, equilibrium velocity approach of the nonuniform environment mechanics, the coal and gas outburst problem is solved. Desorption of fixed gas at the surface of coal particles is described using the Freundlich and Langmuir isotherms. The constitute equation of the coal and gas mixture includes desorption of the fixed gas. The numerical analysis of the mixture flow patterns under the coal and gas outburst provided relationships of the depression and shock wave velocities and the initial concentration of particles in the coal and gas mixtures.