Multifractal nature of seismic sequences distributed along the Pacific Ring of Fire

Abstract

A multifractal methodology was utilized to analyze a set of seismic sequences distributed along the Pacific Ring of Fire, sourced from the National Earthquake Information Center (NEIC) catalog. The analysis employed the Multifractal Detrended Moving Average Analysis (MFDMA) method to characterize the multi-scale behavior using various geometrical parameters of the multifractal spectrum. The findings of this study can be summarized as follows: firstly, our research suggests that seismic sequences along the Ring of Fire exhibit distinct dynamics; and secondly, it indicates that long-range correlations may influence larger magnitude earthquakes, as demonstrated by the correlation with the $b_{\rm GR}$ index. These results contribute to an enhanced understanding of the multifractal characteristics of seismic activity and their implications for earthquake dynamics.