Modern methods for research on dynamics of radionuclides migration in the soil

«Radiation and Risk», 2017, vol. 26, No. 3, pp.116-124

DOI: 10.21870/0131-3878-2017-26-3-116-124


Sharapova T.V. – Postgraduate of Dep. of Reactor Materials and Radiation Safety, Head of Lab. Dimitrovgrad Engineering and Technological Institute of the National Research Nuclear University MEPhI, Dimitrovgrad. Contacts: 294 Kuibyshev str., Dimitrovgrad, Russia, 433511. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. .
Makin R.S. – D.Sc., Phys.-Math., Prof. Dimitrovgrad Engineering and Technological Institute of the National Research Nuclear University MEPhI, Dimitrovgrad.


Dynamics of radionuclides migration and distribution in the soil can be described with the use of additional experimental data and modern mathematical models. Migration in the soil is considered as diffusion process. Radionuclides migration velocity depends on soil type and its texture. The velocity may be higher (superdiffusion processes) or lower (subdiffusion processes) than the velocity fitted with Gaussian distribution. To analyze the problem fractal geometric approaches are applicable. The study is important for building modern models allowing investigation of radionuclides behavior in geological structures in order to ensure radiation safety of living organisms.

Key words
Migration of radionuclides, diffusion coefficient, coefficient of quasi-diffusion, fractal dimension, connectedness index, Hausdorff dimension, subdiffusion process, superdiffusion processes, the Hurst exponent.


1. Sharapova T.V., Makin R.S. Investigation of migration of radionuclides and parameters of migration processes in soil using modern dynamics methods. Vestnik of DITI – Bulletin of DETI, 2016, no. 3 (11), pp. 77-82. (In Russian).

2. Ivakhnenko A.G., Yurachkovsky Yu.P. Simulation of complex systems from experimental data. Moscow, Radio and Communication, 1987. 120 p. (In Russian).

3. Prokhorov V.M. The migration of radioactive contaminants in the soil. Moscow, Energoizdat, 1981. 99 p. (In Russian).

4. Bedanokova S.Yu. Mathematical modeling of the salt regime of soils with a fractal structure. Vestnik Samarskogo gosudarstvennogo tehnicheskogo universiteta – Bulletin of the Samara State Technical University, 2007, no. 2 (15), pp. 102-109. (In Russian).

5. Zeleny L.M., Milovaniv A.V. Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics. Uspehi fizicheskih nauk – Advances in Physical Sciences, 2004, vol. 174, no. 8, pp. 809-852. (In Russian).

6. Pavlotskaya F.I., Tyuryukanova E.B., Baranov V.I. The global distribution of radioactive strontium at the surface. Moscow, Nauka, 1970. 160 p. (In Russian).

7. Nahushev A.M. Fractional calculus and its application. Moscow, Fizmatlit, 1998. 272 p. (In Russian).

8. Kuznetsov S.P. Dynamic chaos (lectures). A manual for schools. Moscow, Physmathlit., 2006. 355 p. (In Russian).

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