Geodesic
Modeling of the dynamics of spreading of spilled hydrocarbons taking into account the gravity-capillary interaction
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 462-470

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It is covered a two-dimensional model of filtering, taking into account the movement of air and hydrocarbon pollutants into the porous soil. The model includes a system of partial differential equations with additional conditions. Among the differential equations are mass balance equation element in a porous medium-inseparability equation, and the differential equations of motion. For circuit system entered the equation of state before pollutant and the environment. Initial and boundary conditions correspond to the filtration process, beginning with the ground surface and initial stage of oil products ladling. A comparative analysis of the results of mathematical modeling with experiments.
Keywords: two-dimenstonal model of filtering, mathematical modeling, porous medium
Mots-clés : geofiltration, hydrocarbon pollutants. 
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     title = {Modeling of the dynamics of spreading of spilled hydrocarbons taking into account the gravity-capillary interaction},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     number = {4},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a2/}
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Natalia V. Molokova; Margarita A. Konnykh. Modeling of the dynamics of spreading of spilled hydrocarbons taking into account the gravity-capillary interaction. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 462-470. http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a2/