MATHEMATICAL MODELLING AND FORECASTING SPREAD OF CONTAMINANTS IN SOIL
Abstract
Mathematical models of contaminant migration in soils taken into account two ways for particle transport with different diffusion coefficients, namely, in water porous solution and adsorbed water layers on ground skeleton, as well as the processes of sorption-desorption under action of contamination on soil surface are proposed. The initial-boundary value problem of heterodiffusion by two ways is formulated in two-dimensional statement in cylindric coordinates. Practically important partial variant of the model are considered on the basis of physical assumptions in regard to the model coefficients and instantaneous redistribution of admixture particles between states. Solutions of the model problems are constructed by integral transformations. It is designed software and comparative analysis is carried out. It is shown that different ways of admixture particle migration have to be taken into consideration as well as mass exchange between states, i.e. the processes of sorpsion-desorption.Key words: mathematical modelling, surface contamination, soil, heterodiffusion, software.
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