Application of Fractal-Geometry Approaches to Simulating Migration Processes in Soil

摘要

The migration processes occurring in soil are considered to be diffusion processes. At present, there is no sufficient information on the parameters of radionuclide migration processes in soils. This makes it difficult to solve issues of preventing the consequences of radioactive contamination. In existing models based on Gaussian (normal) distributions, a large number of important factors capable of affecting radionuclide migration in the soil is not taken into account. In turn, radionuclide migration processes occurring in the soil behave unusually. Hence, classical estimates can lead to significant differences from experimental data. Due to the application of nonstandard approaches to this issue, soil can be regarded to be an aggregate of fractal clusters with a characteristic property of self-similarity. The observed spatial and temporal correlations can lead to the appearance of memory effects and self-organization. The fractal and chaotic dynamics of radionuclide migration in soil must be understood as a unified holistic process of the formation of a fractal model. As a result, it is possible to eliminate the discrepancy between experimental data and theoretical models constructed according to classical laws.