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Transport modeling of 137Cs in soil after Fukushima Dai-Ichi Nuclear Power Plant accident by point cumulative semi-variogram method

Bilici, Sevim, Bilici, Ahmet, Külahcı, Fatih
Environmental earth sciences 2019 v.78 no.6 pp. 212
accidents, cesium, differential equation, models, nuclear power, power plants, probability distribution, radionuclides, soil
The positions distribution of the regional variables in space have irregular or sometimes random scatter. In such a case, their study can be rather difficult and sometimes impossible by means of differential equations. Although variogram or semi-variogram (SV) methodology in the literature is employed to model the regional variable, in this paper, the use of the point cumulative SV (PCSV) procedure application is suggested for the ¹³⁷Cs data, which is one of the most important radioactive nuclei not only for radioactive contamination of the environment after the Fukushima Dai-Ichi Nuclear Power Plant, but any nuclear accident whatsoever. As a result of the PCSV models, the categorical description of the ¹³⁷Cs concentrations spatial distribution and transport characteristics are determined and interpreted. Prior to the application of the model, log-transformation is performed to fit the ¹³⁷Cs data to the classical normal probability distribution and the normality of data is tested by Kolmogorov–Smirnov test. According to the PCSV models, five different categories describe whole spatial distribution and transport properties of ¹³⁷Cs concentrations and also iso-radioactivity map is obtained for ¹³⁷Cs.