Abstract
A classical model of groundwater flow to a system of drainage canals is considered within a framework of a two-dimensional steady-state problem. The solution to this problem is derived based on the Riemann-Schwarts principle of symmetry. This solution yields simple analytical relationships expressed in terms of special or elementary functions. Numerical calculations are used to analyze in detail the effect of all physical characteristics of the model on the flow pattern. In particular, it was established that the presence of water in channels has a significant effect on the flow regime. The limiting cases of the scheme are considered, and simple approximated formulas are derived in these cases for the flow and discharge components.
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