A mathematical model for calculating the expiration time of detonation products using the developed face

This article provides information on the theoretical assessment of the impact of slaughtering on the effectiveness of rock destruction by explosive charges. A mathematical model has been developed, at the same time, the theory of a strong point explosion has been used, taking into account the excess pressure in cylindrical cavities during an explosive explosion, a method for calculating the change in the diameter of the retainer from the width of the face wedge has been performed. as well as the expiration time of detonation products during the explosion of explosive charges in the boreholes, mining factors, the necessary strength of the artificial massif being built, were determined. Calculations were performed and the results of the relationship between the expiration of detonation products from the sliding friction coefficients of the polymer face were obtained, taking into account the following parameters t1 – the time of withdrawal of the face from immobility, t2 – the time of movement of the face from the hole and t3 – the time of free expiration of detonation products.