Abstract

Purpose: simulation of the filtration process from an irrigation canal made in an earthen channel. Materials and methods. One of the most common methods in the waterworks construction and operation is the filtration process modeling. In practice, the use of mathematical modeling based on the use of mathematical analogies of various physical processes, which are described by the same differential equations, is widespread. The electric analogy method (EGDA) is based on the analogy between the groundwater velocity and the electrical current flow and allows solving various filtration problems on models of electrically conductive materials. The purpose of modeling the groundwater velocity using the EGDA method is to develop a model similar to a full-scale object, for studying the ongoing filtration processes with its help. Results. A flow net and a filtration velocity profile which were used to study free filtration from a canal in an earthen channel were constructed. As a result of the study, the specific filtration flow rate, filtration rate were determined and a comparison with the values obtained by calculation was made. Comparison of the results obtained from the flow net with the calculation formula showed that their values coincide with an error of 1.26 %. The specific flow rate determined by the calculation method coincides with the flow net value for the selected belt of equal pressure with an error of 2.8 %. Conclusions: the EGDA method allows determine effectively the seepage water losses from the canal, however, when quantifying the seepage flow, it gives more significant errors due to the complexity of complete recording when modeling the real conditions of the object under consideration.

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