Generalized one-dimensional model for mass transfer of radon ${}^222$Rn in ground and exhalation it in the surface layer of the atmosphere

The paper presents a generalized one-dimensional model for mass transfer of radon ${}^222$Rn-emanation in alluvium deposits and the surface layer of the atmosphere. Analytical solutions for this model were found which meet the boundary conditions of an experiment. Curve distributions of concentration of radon-emanation in the top part in alluvium deposits and the surface layer of the atmosphere were constructed depending on coefficients of effective diffusion and convection speeds transfer.