Geodesic
Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1041-1048 
D. N. Nikol'skii. Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1041-1048. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a15/
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     title = {Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A mathematical model describing two incompressible liquids displacing one another in piecewise inhomogeneous porous ground layers is constructed. The ground layers are assumed to contain impermeable and semipermeable inclusions and free-liquid cavities. The square root of the conductivity of a layer is modeled by a metaharmonic (harmonic) function of coordinates.

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