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Analysis of assimilation capacity for conservation of water quality: controllable discharges of pollutants

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Abstract

Protection of water quality from the hazards of industrial, agricultural, urban, and other sources of pollutants has been a big concern for water resources managers in recent decades. Sources of pollutants are often classified into different large categories, which can be predicted by modeling. In this investigation, a river-reservoir system with the controllable pollution source was chosen and a one-dimensional pollutant transport model was considered to calculate the assimilation capacity (AC) of the river. All of the modeling procedures were processed and accomplished with the analytical solution and also by numerical methods, QUICK (quadratic upwind differencing) approach and SEF (symmetric exponential function) method, by simulating in MATLAB. Results for symmetrical pollution entrance demonstrate that in the domain of Cs (allowable concentration) from 0.13 to 0.71 mg/l, the amount of \( \overline{{\mathrm{c}}_{\mathrm{a}}} \) (mean area of unallowable concentration) is in the range of 0.28–0.68, 0.3–0.63, and 0.63–0.56 mg/l for analytical, SEF, and QUICK methods, respectively. Therefore, the amounts of \( \overline{{\mathrm{c}}_{\mathrm{a}}} \) by SEF acquire more similarity to analytical method than QUICK. A novel general relationship is determined to calculate AC of the river by applying nonlinear regression to the obtained data from SEF method and then verified with the measured values of nitrate concentration for Karun River in Iran. Statistical parameters, R2, RMSE, and MAE, for the proposed relationship were equal to 0.955, 0.186, and 0.065 in the modeling calibration and also were 0.912, 0.251, and 0.093 compared with the laboratory data, respectively.

A novel general mathematical relationship is presented between assimilation capacity of river and other water quality parameters.

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Correspondence to Seyed Arman Hashemi Monfared.

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Dehghani Darmian, M., Khodabandeh, F., Azizyan, G. et al. Analysis of assimilation capacity for conservation of water quality: controllable discharges of pollutants. Arab J Geosci 13, 888 (2020). https://doi.org/10.1007/s12517-020-05907-5

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