EXPERIMENTAL MATHEMATICAL MODELING IN SOLVING SCIENTIFIC AND PRACTICAL PROBLEMS OF MINING PRODUCTION

Abstract

The paper gives a description of the systematic methodological approach to conducting experimental mathematical modeling of technological, geomechanical and environmental processes of mining production. It considers the principles of
formation, scientific use and practical application of simulation, digital, regression and functional factor models. As a result, we have formed the necessary structure of experimental mathematical modeling, in which the relationship and dependence of the selected model type on the objected research goal, the composition of the conducted experiments and the corresponding principles of model formation. The study shows that functional type models reflect the influence of stable factors on the dependent magnitude of the studied technogenic phenomenon and are designed to solve the scientific problem of finding patterns of its change, according to which forecasting and appropriate design of mining operations are carried out. Based
on the results of more detailed digital modeling, which additionally captures the effect of random factors, private situational production decisions are made. The quality of mathematical models is assessed by their imprecision rate, the levels of new
knowledge extracted and the practical application. We concluded that the proposed systematic approach to experimental mathematical modeling of technogenic phenomena gives a holistic view of the choice of its methods and type of models that provide new knowledge and previously unknown additional information about the features of the state and development of technogenic phenomena necessary to solve the scientific and practical problem of mining.