Derivation of an analytical solution for evaluation of the pollution transport in the interconnected reservoirs and rockfill bodies of gabion dams

Document Type : Research Article

Authors

1 Civil Engineering Department- Faculty of Engineering- University of Maragheh

2 Civil engineering department, University of Maragheh

Abstract

In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and -10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and Nash-Sutcliff, having the values of 0.21 and 0.7, respectively.

In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and -10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and Nash-Sutcliff, having the values of 0.21 and 0.7, respectively.


In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and -10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and Nash-Sutcliff, having the values of 0.21 and 0.7, respectively.


In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and -10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and Nash-Sutcliff, having the values of 0.21 and 0.7, respectively.

Keywords

References

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History

  • Receive Date: 06 March 2019
  • Revise Date: 26 September 2019
  • Accept Date: 29 September 2019

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