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The solution formed in the process of uranium in-situ leaching propagates after the mining closure with the regional groundwater flow. Forecasting the migration of solution requires account of chemical reactions in the system of the acid solution and subsurface medium. The process of propagation of solution, and methods for this process modeling are considered in the paper. The Eulerian approach to calculation of reactions leads in the present case to significant numeral dispersion. In order to avoid this numerical effect, we have solved two independent passive mass transport problems. The final solution is a geometrical intersection of passive solutions.