Fractal analysis of radioactive contamination as a result of accidents at radiation-hazardous facilities

Abstract

We estimate the fractal dimension and the associated Hurst index for radioactive contamination of the territory resulting from the accidents at the Chernobyl and Fukushima-1 nuclear power plants. The fractal dimension (Hurst index) of the considered surfaces of significantly different areas of contamination density is estimated as they change over time. As a result of the study, the opinions of Hurst indicators for the considered surface type are given, and it is established that they remain almost constant in the considered time interval. The results of this work allow us to choose the value of the fractal dimension when modelling the zone of radiation pollution that occurred as a result of accidents at radiation-hazardous facilities, including nuclear power facilities, with a through release of radioactive substances outside the sanitary protection zones, and their distribution in conditions of high classes of atmospheric instability.