Gas dynamics equations are used to simulate the interaction of shock waves with water or rock–dust barriers. The model is enhanced with the presence of dispersed water in the flow and its settling on the walls of the working. An approach to the implementation of the method for solving the problem of the propagation of shock waves in a branched network of mine workings, considering the interaction of shock waves with water barriers has been developed. The approach is based on the use of the numerical method of S.K. Godunov. Examples of solving the problem of the propagation of shock waves from a methane explosion in simulated networks of coal mine workings with water barriers placed in them are given.

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The article presents a physical and mathematical model of the propagation of air shock waves in the network of coal mine workings after an instant explosion of the methane-air mixture in a given area. An approach to the implementation of a method for solving problems on the propagation of air shock waves in a branched network of mine workings is presented, taking into account arbitrary angles of their conjugation. The results of calculating the propagation of air shock waves in the model networks of mine workings are presented.

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