Geodesic
Mathematical modeling of radon transfer process in anisotropic media
Matematičeskie zametki SVFU, Tome 27 (2020) no. 1, pp. 88-100 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : radon, diffusion, advection
Keywords: piecewise and anisotropic medium, mathematical modeling. 
@article{SVFU_2020_27_1_a5,
     author = {V. N. Krizsky and A. R. Nafikova and I. A. Kozlova and A. K. Yurkov},
     title = {Mathematical modeling of radon transfer process in anisotropic media},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {88--100},
     year = {2020},
     volume = {27},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2020_27_1_a5/}
}
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V. N. Krizsky; A. R. Nafikova; I. A. Kozlova; A. K. Yurkov. Mathematical modeling of radon transfer process in anisotropic media. Matematičeskie zametki SVFU, Tome 27 (2020) no. 1, pp. 88-100. http://geodesic.mathdoc.fr/item/SVFU_2020_27_1_a5/