In the hydrodynamic formulation, we solve the problem of plane steady filtration under a Zhukovskii sheet pile through an irrigated ground mass underlain by a highly permeable pressure stratum the left semi-infinite part of whose roof is modeled by an impermeable inclusion. Using the P. Ya. Polubarinova-Kochina method, we give a constructive solution of the problem and accurate analytical representations for characteristic dimensions of the flow pattern. Results of the numerical calculations and an analysis of the effects of all physical parameters of the model on filtration characteristics are presented. Consideration is given to limiting cases of flow associated with the absence of an impermeable inclusion as well as of backwater in the underlying well-permeable layer.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 84, No. 3, pp. 476–484, May–June, 2011.
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Bereslavskii, É.N. On flow over a zhukovskii sheet pile in an irrigated ground mass. J Eng Phys Thermophy 84, 515–525 (2011). https://doi.org/10.1007/s10891-011-0499-3
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DOI: https://doi.org/10.1007/s10891-011-0499-3