Abstract

The principal methodical grounds of the mathematical modeling of common migration for liquid aqueous solutions and light oil products such as kerosene, petrol, etc. into undersaturated-saturated soils at the subsurface layer are presented. More accurately the system of differential equations taking into account un-steady prevalent convective one- and two-dimensional movement (advection) for two immiscible liquids obeyed non-linear change law of volumetric moisture contents and mater transfer coefficients with the variation of intra-soil mass exchange sources are recommended. The effective iterative prediction formulae providing the stable solution of the initial system of the migration equations with the required accuracy are proposed.

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