Abstract
Nonlinear time series analysis of data related to the radioactivity profile of a hot spring area can explore the dynamics of the geothermal activities along with other different nonlinear features of the Earth system. However, not much work in this field has been done so far in India. In this paper nonlinear time series analysis of the radioactive gas Radon-222 ( 222 Rn) (time series) data recorded at Bakreswar hot spring area of West Bengal, India during the period 2005-2010 was carried out to investigate the dynamics of the radioactive gas emanation process and its relation with the Earth’s tide. Power spectral density and the Hurst exponents were obtained for the above said time series signal using the nonlinear techniques of Fast Fourier Transform (FFT) and power law scaling relationship. An attempt was also made to understand the system dynamics using the surrogate and truncated data of the original time series as well. The result shows that the seasonal variations of the 222 Rn emission from the hot spring is highly influenced by the Earth’s tidal effects, and the same has been confirmed by the power spectral density plot. The estimated Hurst exponent from log p-log f plot reflects the anti-persistent Brownian motion nature of the whole five years recorded data set.
Highlights
Radioactivity is present everywhere on the planet Earth, where the genesis of the natural radioactivity is linked to the disintegration of radio-nuclei 238U, 235U, 232Th, and 40K present in the Earth’s crust with sufficient abundances [Chaudhuri et al, 2010; Chaudhuri et al, 2018]
We focus our attention on the measurement of the concentration of 222Rn expelled out the hot spring in India
With a motivation to understand the dynamics of the data set, we have considered the 222Rn concentration recorded during the period August 2005 to December 2010
Summary
Radioactivity is present everywhere on the planet Earth, where the genesis of the natural radioactivity is linked to the disintegration of radio-nuclei 238U, 235U, 232Th, and 40K present in the Earth’s crust with sufficient abundances [Chaudhuri et al, 2010; Chaudhuri et al, 2018]. Radon has another two well-known isotopes, i.e., 220Rn (Thoron) and 219Rn. Radon has another two well-known isotopes, i.e., 220Rn (Thoron) and 219Rn Among all these isotopes, 222Rn is more stable (half-life 3.82 days) [Baskaran, 2016]. The spectral indices and Hurst exponents were estimated by means of the linear regression of the distribution of log (power) vs. log (frequency) plots following the power law scaling relationship and suitable conclusions have been drawn on the dynamics of 222Rn emanations based on the estimated values of spectral indices and Hurst exponents
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