Geodesic
The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics
Matematičeskoe modelirovanie, Tome 29 (2017) no. 8, pp. 17-28

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Two schemes of fluid flow under the rabbet of Zhukovsky are considered. Filtering is flat and steady, and the fluid flow satisfy Darcy’s law. The movement occurs through an array of ground underlain by a waterproof base or well-permeable pressure aquifer. For study evaporation and infiltration to the free surface of groundwater is formulated a mixed boundary value problem of the theory of analytic functions, which is solved by the Polubarinova-Cochina's method. In the zone of saturation algorithms for calculating the basis of these models are designed in cases where the motion of water must take into account the joint effect on the flow pattern of such important factors as backwater from the impermeable base or underlying well-permeable aquifer, evaporation or infiltration on the free surface groundwater and the capillary of ground.
Mots-clés : filtration, infiltration
Keywords: evaporation, groundwater, free surface, tongue of Zhukovsky, Polubarinova-Cochina's method, complex velocity, conformal mappings, Fuchsian equation. 
@article{MM_2017_29_8_a1,
     author = {E. N. Bereslavskii},
     title = {The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--28},
     publisher = {mathdoc},
     volume = {29},
     number = {8},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_8_a1/}
}
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E. N. Bereslavskii. The research of the effect of evaporation or infiltration on the free surface groundwater and in some problems of underground hydromechanics. Matematičeskoe modelirovanie, Tome 29 (2017) no. 8, pp. 17-28. http://geodesic.mathdoc.fr/item/MM_2017_29_8_a1/