Three-dimensional mathematical model for predicting the pollution of a water body with biogenic elements

Abstract

The article presents the results of the development of three-dimensional modeling and the results of forecasting the pollution of a water body with biogenic elements on the example of the Pekhorka River in the Balashikhinsky district of the Moscow region. To solve the problem of improving the environmental safety of the river basin, a mathematical three-dimensional model for predicting pollution by biogenic elements has been developed. As an assessment of the pollution of the Pekhorka River, the method of assessing the impact on the indicator of chemical pollution was chosen. The development of a mathematical model of pollutant transport was carried out using the Python Version 3.8 programming environment. The mathematical models considered two scenarios of river pollution: actual river pollution with biogenic pollutants and forecast pollution. As a result of modeling, the nature of mixing and longitudinal dispersion along the river flow was determined. It was found that vertical mixing occurs quite quickly at a distance of several depths of the river, lateral mixing occurs much slower, but usually ends within a few kilometers downstream. Three-dimensional mathematical models for predicting water body pollution are designed to quantify the dynamic processes of mass transfer in space and time and allow solving problems of environmental safety of catchment areas and water bodies.