Mathematical modeling of radon transfer process in anisotropic media

  • Krizsky Vladimir N., v.n.krizsky@strbsu.ru Sterlitamak Branch of the Bashkir State University, 49 Lenin Avenue, Sterlitamak 453103, Russia
  • Nafikova Albina R., a.r.nafikova@strbsu.ru Sterlitamak Branch of the Bashkir State University, 49 Lenin Avenue, Sterlitamak 453103, Russia
  • Kozlova Irina A., ikozlova75@mail.ru Bulashevich Institute of Geophysics, 100 Amundsen Street, Yekaterinburg 620016, Russia
  • Yurkov Anatoliy K., akyurkov@mail.ru Bulashevich Institute of Geophysics, 100 Amundsen Street, Yekaterinburg 620016, Russia
Keywords: radon, piecewise and anisotropic medium, diffusion, advection, mathematical modeling

Abstract

The study of radon migration in geological environments is relevant for the search and contouring of oil and gas fields, search for uranium and thorium ores, environmental mapping in selection of the construction sites for industrial and residential structures, and forecasting events in seismic activity zones. In this paper, we consider a mathematical model of the three-dimensional problem of diffusion-advection of radon in piecewise constant layered media with inclusions, taking into account the anisotropy of the diffusion properties of subsurface geological environment. A combined method for solving the problem is described, based on a combination of the Laplace integral transform methods, integral representations with construction of the Green function of the enclosing layered medium, and Fredholm integral equations of the second kind arising at the boundaries of local inclusions. We present the results of comparing the data from computational and field experiments on the study of radon transfer processes.

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How to Cite
Krizsky, V., Nafikova, A., Kozlova, I. and Yurkov, A. (2020) “Mathematical modeling of radon transfer process in anisotropic media”, Mathematical notes of NEFU, 27(1), pp. 88-100. doi: https://doi.org/10.25587/SVFU.2020.62.17.006.
Section
Mathematical Modeling