On an integrated approach to modeling an emergency under a gas explosion in a coal mine

The paper proposes the sequential use of two mathematical models for calculating the situation under a gas explosion in a coal mine and immediately after. One model is used to calculate the propagation of air shock waves; the other, for the calculation of the air distribution in the mine workings. Both models are based on a system of gas-dynamic equations in the non-stationary setting. For the interplay, we considered the variant of the initial adaptation of the models in view of the same set of mine air components — explosion products and methane. The proposed approach enables to a more precise forecast of the situation in the mine under the explosion and immediately after it, it affords to identify the areas affected by shock waves and the distributed explosion products. It also permits one to take account the temporary nature of the processes and the possible destruction of ventilation facilities. The practical use of this approach requires the development of a specialized software and its applying in the emergency response plans during the liquidation and accident investigation periods.