On some models of the flow of construction ditch

E. N. Bereslavskiy ; E. V. Pesterev

Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 81-96.

Résumé

In the hydrodynamic statement filtration from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the soil layer underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. To study the infiltration to the free surface is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Cochina method. The algorithm for calculating the filtration characteristics is developed for situations where the motion of water from the ditches must take into account the combined influence of important factors such as the infiltration of the free surface, the pressure of the water strongly permeable underlying layer, and the availability on the top of the last impermeable inclusion. Hydrodynamic analysis of the impact of all the physical parameters of the scheme on the filtration characteristics carried out by deriving the exact analytical dependences and numerical calculations. The limit cases of the model are considered. They are associated with the absence of one of the factors that characterize the simulated process (backwater, impenetrable inclusion, infiltration), and degeneration of pits in the left semi-infinite strip of flooding.

Détail

Mots-clés : filtration, infiltration
Keywords: groundwater, tongue of Zhukovsky, integrated flow rate, the Polubarinova-Cochina method, Fuchs differential equations.

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