Nonextensive triplet in geological faults system

TL;DR

This study analyzes earthquake data from the San Andreas fault using Tsallis's $q$--Triplet framework, revealing long-range correlations and fractal behavior in seismic activity.

Contribution

It applies Tsallis's $q$--Triplet analysis to a large earthquake dataset, uncovering new insights into the statistical and fractal properties of fault system dynamics.

Findings

Long-range temporal correlations in earthquake data

Quasi-monofractal behavior with Hurst exponent 0.87

Identification of $q$--Gaussian behavior in seismic activity

Abstract

The San Andreas fault (SAF) in the USA is one of the most investigated self-organizing systems in nature. In this paper, we studied some geophysical properties of the SAF system in order to analyze the behavior of earthquakes in the context of Tsallis's $q$--Triplet. To that end, we considered 134,573 earthquake events in magnitude interval $2\leq m<8$, taken from the Southern Earthquake Data Center (SCEDC, 1932 - 2012). The values obtained ("$q$--Triplet"$\equiv$$\{$$q$$_{stat}$,$q$$_{sen}$,$q$$_{rel}$$\}$) reveal that the $q_{stat}$--Gaussian behavior of the aforementioned data exhibit long-range temporal correlations. Moreover, $q_{sen}$ exhibits quasi-monofractal behavior with a Hurst exponent of 0.87.