THE IMPACT OF THE DEGREE OF COMPLEX DEVELOPMENT OF DEPOSITS ON THE OPTIMAL ANNUAL PRODUCTIVITY OF A MINING AND METALLURGICAL PLANT
The impact of the degree of complex development of deposits on the optimal annual productivity of a mining and metallurgical plant (MMP) is considered. The optimal annual productivity of a MMP for the complex development of deposits at different degrees of wast utilization of the mining and metallurgical production is substantiated. The following cases are considered: a) the need for recyclable waste is limited; b) the need for recyclable waste is practically unlimited; c) overburden rocks are partially utilized, and tailings and metallurgical slag are completely utilized. Based on the optimality criterion, a general objective function is formulated, which “maximizes the algebraic sum of the effects of the main (mining and processing of mineral resources) and incidental (disposal of mining and metallurgical production waste products - overburden, enrichment tailings and metallurgical slag) production and environmental damage environment (alienation of land for waste storage)”. Formulaе are derived for determining the effects of the main and associated industries, as well as the total price of land for storage of mining and metallurgical waste. Based on the derived formulaе, a new objective function is formulated. Equating the first derivative of the newly obtained objective function with respect to the annual productivity of the MMP A to zero, the optimum annual productivity of the MMP is substantiated, taking into account the integrated development of deposits and environmental aspects. The resulting formula makes it possible to determine the optimal annual production capacity of the MMP, at which the differential rent or excess profit for the entire period of development of the deposits will be maximum, taking into account the integrated development of mineral resources and environmental issues. The graph shows the dependence of the optimal annual productivity of MMP on the degree of utilization of overburden for a conditional example. It is established that: 1) the degree of optimal annual productivity of the MMP is significantly affected by the degree of integrated development of the subsoil and the amount of excess profits from waste disposal of mining and metallurgical production; 2) with incomplete waste disposal with an increase in annual excess profits from the sale of by-products, the optimal annual productivity decreases.