Geodesic
Mathematical modeling of sea water intrusion into a~coastal fresh water aquifers
Matematičeskoe modelirovanie, Tome 17 (2005) no. 7, pp. 39-52

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Mathematical models of certain fresh groundwater flows through a rectangular horizontal pressurized aquifer toward a salt-water sea (basin, reservoir, etc.) are examined within the framework of two-dimensional steady-state flow theory. In order to study the models, mixed boundary value problems of the theory of analytic functions are formulated and solved using the Polubarinova-Kochina method. Algorithms for calculating the lows are developed on the basis of these models for situations in which groundwater streams arrive at the sea from one side or from below. Both the structure and the characteristic features of the simulated processes and the effect of all the physical characteristics of the models on the nature of the flow are analyzed in detail using the exact analytic dependences obtained and numerical calcu-lations. The calculation results for the two inflow schemes are compared and features of the flows that depend on the initial position of the fluid contact are discussed. 
@article{MM_2005_17_7_a4,
     author = {\`E. N. Bereslavskii},
     title = {Mathematical modeling of sea water intrusion into a~coastal fresh water aquifers},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {39--52},
     publisher = {mathdoc},
     volume = {17},
     number = {7},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_7_a4/}
}
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È. N. Bereslavskii. Mathematical modeling of sea water intrusion into a~coastal fresh water aquifers. Matematičeskoe modelirovanie, Tome 17 (2005) no. 7, pp. 39-52. http://geodesic.mathdoc.fr/item/MM_2005_17_7_a4/