ON ONE PROBLEM FOR NONSTATIONARY EQUATION OF RADON (222 Rn) TRANSPORT IN GROUND-ATMOSPHERE SYSTEM WITH CONSTANT COEFFICIENTS

  1. Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch Russian Academy of Sсiences

In the paper the Cauchy problem for nonstationary equation of radon (Rn) transport from homogeneous
porous soil to the surface layer of the atmosphere is considered with constant coefficients of diffusion and ad-
vection.
An analytical solution of this model was obtained in an explicit form, which was sought in the form of a
traveling wave with velocity V. Wave velocity was calculated from the given initial condition. Curves of Rn
concentration distribution were graphed in the ground-atmosphere system depending on the wave velocity V,
advection and diffusion.
In the result of the analysis we can conclude that in mathematical modeling of Rn transport processes in
the ground-atmosphere system two mechanisms of diffusion and advection must be considered.
This work was financially supported by the grant of Analytical Departmental Specific Program "Development
of Scientific Potential of Higher Education» № 2.1.1/544.