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The Chézy Roughness Coefficient Computing Using an Artificial Neural Network to Support the Mathematical Modelling of River Flows

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Information and Communication Technologies and Sustainable Development (ICT&SD 2022)

Abstract

The Chézy roughness coefficient provides an empirical link between the impelling force and the unaccelerated velocity of the flowing water. This coefficient is hydraulic resistance’s universal integral empirical characteristic because it depends on the Reynolds number and channel roughness. Chézy’s coefficient enables to control of a majority of factors and parameters determining the hydraulic resistance to open flows in river channels. A challenge is that the Chézy coefficient may not be determined directly using field measurements or experimentally. To compute the Chézy roughness coefficient, a large number of empirical and semi-empirical formulas have been developed by various authors. However, as practice shows, there is no ideal way or method to determine the Chézy roughness coefficient. Often, the appropriate formula choosing can become a challenge for researchers. Supporting the comprehensive and holistic approach to hydraulic resistance research, this article presents preliminary results of solving the problem using an artificial neural network. The problem is solved with the example of a neural network of direct propagation with one hidden layer and a sigmoid logistic activation function. The Python object-oriented programming environment was applied to build and train the neural network. The neural network training was carried out according to the actual data of hydro-morphological observations in rivers. The network testing was performed with a comparison of the observed (gauged) and computed (predicted) water discharges. The Nash-Sutcliffe model efficiency coefficient was used to assess the predictive skill of the network.

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Correspondence to Vasyl Korbutiak .

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Khodnevych, Y., Stefanyshyn, D., Korbutiak, V. (2023). The Chézy Roughness Coefficient Computing Using an Artificial Neural Network to Support the Mathematical Modelling of River Flows. In: Dovgyi, S., Trofymchuk, O., Ustimenko, V., Globa, L. (eds) Information and Communication Technologies and Sustainable Development. ICT&SD 2022. Lecture Notes in Networks and Systems, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-031-46880-3_26

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