Research of radon transport processes in anisotropic media

Abstract

The study of radon migration in geological environments is relevant for the search and contouring of oil and gas deposits, the search for uranium and thorium ores, environmental mapping when choosing sites for the construction of industrial and residential structures, and for predicting events in seismic activity zones. The paper considers a mathematical model of the three-dimensional problem of radon diffusion-advection in piecewise constant layered media with inclusions, taking into account the anisotropy of the diffusion properties of subregions of the geological environment. A combined method for solving the problem is described, based on a combination of the methods of Laplace integral transformations, integral representations with the construction of the Green function of the host layered medium, and Fredholm integral equations of the second kind arising at the boundaries of local inclusions. The results of a comparison of the data of computational and natural experiments for some special cases are presented. A mathematical model of the inverse geometric problem of search for the boundary of a local inclusion is presented.