Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 913-919
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A mathematical model describing the three-dimensional evolution of a liquid–liquid interface in a piecewise homogeneous porous medium containing impermeable rock and a basin with a free liquid is constructed using the Leibenzon–Muskat model. As an example, the dispersion of pollutants from a point source is numerically simulated.
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