Abstract
A mathematical model of the three-dimensional problem of diffusion-advection of radon in piecewise homogeneous layered mediums with inclusions is proposed. The model takes into account anisotropy of diffusion properties of subregions of geological mediums. A combined method of solving the problem with the methods of integral transformations, integral representations, and boundary integral equations is proposed. Results of computer modeling with known models for the case of homogeneous piecewise layered mediums are presented. Results of computational experiments for studying processes of radon transport in anisotropic layered mediums with inclusions are presented. Additionally, the use of OpenMaple technology for developing high-performance software with language C# for studying radon transport processes is discussed.
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