MATHEMATICAL MODELING OF AIR POLLUTION AT MINING AND INDUSTRIAL COMPLEX FACILITIES

The report considers numerical models that were built to predict contamination of working areas at various facilities of the mining complex. Mathematical models were developed for various areas and industrial sites for the extraction and processing of iron ore in the Kryvyi Rih district. The issues of mathematical modeling of the spread of dust and gas clouds during explosions in quarries, dust removal from tailings dumps and during overloading of rock mass at industrial sites are considered. For mathematical modeling of the spread of impurities in the air of working areas, the convective-diffusion equation of impurity transport is used. This equation takes into account the transfer of impurities due to the movement of the air flow, atmospheric diffusion, and gravitational deposition of impurities. To determine the air flow velocity field, two aerodynamic models are used - the potential motion model and the Euler equation. Finite-difference schemes and the splitting method are used to numerically solve the modeling equations. Based on the developed numerical models, a set of computer programs has been developed.