Nonextensive triplet in geological faults system

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 $2\le m<8$, 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.