2017/07/25 by de Freitas, D. B., França, G. S., Scheerer, T. M. +2
#Data Analysis #FOS: Physical sciences #Geophysics (physics.geo-ph) #Statistics and Probability (physics.data-an)
paper · doi:10.48550/arxiv.1707.09018
In the present paper, we analyze the fractal structures in magnitude time series for a set of unprecedented sample extracted from the National Earthquake Information Center (NEIC) catalog corresponding to 12 Circum-Pacific subduction zones from Chile to Kermadec. For this end, we used the classical Rescaled Range (R/S) analysis for estimating the long-term persistence signature derived from scaling parameter so-called Hurst exponent, H. As a result, we measured the referred exponent and obtained all values of H>0.5, indicating that a long-term memory effect exists. The main contribution of our paper, we found a possible fractal relationship between H and the bs(q)-index which emerges from nonextensive Gutenberg-Richter law as a function of the asperity, i.e., we show that the values of H can be associated with the mechanism which controls the abundance of magnitude and, therefore, the level of activity of earthquakes. Finally, we concluded that dynamics associated with fragment-asperity interactions can be emphasized as a self-affine fractal phenomenon.