Abstract

The paper deals with improving the superposition principle of substance concentration for watercourses. The substance superposition principle in watercourses arises from the linearity of turbulent diffusion equation and its boundary conditions. When using the superposition principle of substance concentration in water courses, usually only point sources of substance are taken into account, neglecting diffuse (distributed along the watercourse) sources and substance-containing effluents. Diffuse sources of substance are formed by the surface and ground waters getting to the watercourse as well as atmospheric precipitation on the water surface. Diffuse effluents are connected with the processes of water filtration through the watercourse bottom. The paper justifies the use of the superposition principle of substance concentration for watercourse with regard to the diffuse sources and substance-containing effluents. The formulas were obtained which reflect the superposition principle of non-conservative substance concentration in watercourse and simplify the calculation of two-dimensional field of substance concentration in view of point and diffuse sources and substance-containing effluents. The formulas allow improving the accuracy of calculations of water quality in watercourses.

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