Institute of Computational Mathematics and Mathematical Geophysics

Abstracts

Mathematical modeling of environmental protection problems

The topicality of the identification problem is obvious as its solution makes it possible to determine the contribution of individual sources into the air pollution at a given point. There are different approaches to the solution of the problem: calculation of back trajectories, experimental studies of wind flows, etc. The first method can not be used for a city due to chaotic meteorological movements in the boundary layer, the second one is technically complicated and calls for considerable expenses. The third method supposes an experimental analysis of precipitation and reveals contribution of individual sources by analyzing the component spectra of pollution.

The paper suggests minimization of discrepancy between the data of chemical analysis of snow layer and calculated precipitation by a number of ingredients. In doing so the balance relationships that are expressed in the form of constrains of an equality type account for all the pollution sources and long-distant transfer. At the initial stage such a model can be classified as a quadratic programming problem reduced to a system of linear equations. The model is verified on the example of the town of Slyudyanka.

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