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

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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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     author = {D. N. Nikol'skii},
     title = {Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
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     number = {6},
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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/