Investigating the signatures of long-range persistence in seismic sequences along Circum-Pacific subduction zones

Abstract

In the present paper, we analyze the signatures of long-range persistence in seismic sequences along Circum-Pacific subduction zones, from Chile to Kermadec, extracted from the National Earthquake Information Center (NEIC) catalog. This region, known as the Pacific Ring of Fire, is the world's most active fault line, containing about 90% of the world's earthquakes. We used the classical rescaled range (R/S) analysis to estimate the long-term persistence signals derived from a scaling parameter called the Hurst exponent, H. We measured the referred exponent and obtained values of H > 0.5, indicating that a long-term memory effect exists. We found a possible fractal relationship between H and the b s (q)-index, which emerges from the non-extensive Gutenberg-Richter law as a function of the asperity. Therefore, H can be associated with a mechanism that controls the level of seismic activity. Finally, we concluded 1 arXiv:1912.02092v1 [physics.geo-ph] 3 Dec 2019Running title • November 2012 • Vol. XXI, No. 1 that the dynamics associated with fragment-asperity interactions can be classified as a self-affine fractal phenomenon.

Analysing the intrinsic multifractal nature of seismic sequences distributed along the Pacific Ring of Fire

“…It is worth noting the universal character of the R/S method in the analysis of the behavior of fluctuations. A large number of studies in different areas of knowledge has shown that the so-called Hurst exponent extracted from within the MFDMA analysis provides a robust and powerful statistical method to characterize nonstationary fluctuations at different timescales [1,28].…”

“…Working sample and data analysis. -Recently de Freitas et al [1] published a study about the fractal properties of a set of Circum-Pacific subduction zones distributed along the so-called Ring of Fire. As mentioned in the referred paper, these data were extracted from the National Earthquake Information Center (NEIC) catalog and they were selected from 12 regions of Flinn-Engdhal for applying our analysis as shown in table 1 [41].…”

“…As mentioned in the referred paper, these data were extracted from the National Earthquake Information Center (NEIC) catalog and they were selected from 12 regions of Flinn-Engdhal for applying our analysis as shown in table 1 [41]. As reported by Scherrer et al [9] and [1], the NEIC catalog offers magnitude time series in different magnitudes types (M w , M b , M s , M l , M d ) for the same event and, therefore, we consider that the NEIC defines the most appropriate magnitude that represents the energy released for the earthquake.…”

“…The multifractal background. -Since 2016, de Freitas et al [1,42,43] have used multifractal analysis in astrophysical data that were observed by the Kepler mission, as well as the Sun in its active phase. de Freitas et al [42,43] showed that the Multifractal Detrended Moving Average (MFDMA) algorithm, which was developed by Gu and Zhou [17] 1 and Tang et al [18], is a powerful technique that provides invaluable information on the dynamic structure of a time series.…”