Theoretical concentration contours equation of sewage mixing zone in rivers and its application

Abstract eng:
In this study, we derived the theoretical formulas characterizing the geometry of the pollutant mixing zone (PMZ) formed by a constant discharge, point source in straight-bank, wide open rivers, using the analytical solution of the simplified two-dimensional advectiondiffusion equation of the pollutant. In such flow configuration, only the convection in the longitudinal direction and diffusion in the lateral direction are significant in the pollutant transport. The obtained formulas for the maximum length, maximum width and its corresponding longitudinal location, and area of PMZ, and the concentration contours equation defining the PMZ boundary, show excellent agreement with the onsite observations. These theoretical formulas can also be used in the inverse problems to determine the lateral diffusion coefficient in the river, or to design the sewage discharge load based on the PMZ range limitations in the water environmental quality standard.

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