MATHEMATICAL MODELS OF THE NODE OF TECHNOGENIC INFLUENCE, TAKING INTO ACCOUNT THE MAIN DIRECTIONS OF MATERIAL FLOWS IN THE LOGISTICS OF MINING ENTERPRISES

Abstract

ABSTRACT. The aim of the work is to create a mathematical model of liquid waste storage that accumulates processed products and mine waters simultaneously from many mining and processing plants, taking into account technological constraints on waste volumes and climatic factors depending on the season. The proposed mathematical model of node of technogenic influence is based on the balance of material flows in and out the node. A typical node of technogenic influence is an accumulation node. In the problem considered in this paper, the accumulation node is a waste storage facility where liquid man-made deposits are stored. The model of this node includes a system of equations describing the height of the water mirror and the bottom level depending on the volume of placers and water in and out for the analysed period of operation, taking into account the geometric features of the storage. The main directions of material flows can be formed from two or three nodes of technogenic influence. The first case is typical for underground mining, and the second one is typical for open pit mining. In the second case, the main direction is formed from the node of extraction of primary deposits, the node of processing or separation, and the node of accumulation or the node of storage of man-made deposits. The mathematical model makes it possible to determine the level of the free surface mirror in any month of the year, as well as to calculate the change in the current height of the water mirror in storage for any period of the year, such as spring months or all year round.

Keywords

• node of technogenic influence