Global regionalized seismicity in view of Non-Extensive Statistical Physics

Complexity of the Yellowstone Park Volcanic Field Seismicity in Terms of Tsallis Entropy

“…At the cumulative distribution function for the inter-event distances, a cut-off appears, leading to q r values of 0.710 for the Yellowstone Lake swarm, and 0.517 for the Madison Plateau swarm. Our results, i.e., q T > 1 and q r < 1, are in agreement with those found in previous works, such as the Aigion aftershock sequence [ 35 ], the spatiotemporal properties of seismicity in California [ 38 , 40 ], and for global seismicity [ 42 ].…”

“…From the analysis of the frequency-magnitude distribution of the two swarms, we can conclude that the fragment asperity model describes the seismic behavior and the energy release of the system very well. The distribution reflects a sub-extensive system, where long-range interactions are important, which is in agreement with previous results extracted from the analysis of several earthquakes catalogues [ 33 , 40 , 42 ] for different geotectonic environments. We note that the subadditivity of the two swarms agrees with the subadditivity of the frequency-magnitude distribution of earthquakes in the Yellowstone volcanic field from 1996 to 2016, where the values of q E = 1.44 ± 0.005 and α E = 27.65 ± 3.8 are found (see Figure 10 ).…”

“…This approach has been applied in several studies that investigate the spatiotemporal properties of seismicity in a variety of tectonic environments and scales, and particularly from the laboratory to the regional and global scale [ 12 , 20 , 22 , 40 , 41 , 42 ]. We proceeded to analyze the temporal and spatial distributions of the 2008–2009 Yellowstone Lake swarm and the 2010 Madison Plateau swarm, using the data provided by the University of Utah Seismological Stations (UUSS).…”

The use of acoustic emissions technique in the monitoring of fracturing in concrete using soundless chemical demolition agent

“…The concept of non-extensive statistical physics (NESP) has been successfully applied to the investigation of complex systems in different length-scales, such as earthquakes and fracturing experiments in brittle materials [24][25][26][27][28][29]. NESP has been introduced by Tsallis in order to describe the non-equilibrium stationary states of a system which exhibits long-range interactions, memory effects and multifractality [30,31].…”

“…The maximization of q-entropy under appropriate constraints generates probability distributions, the so-called q-distributions, such as q-exponential, q-Gaussian, q-Weibull distributions, etc [32][33][34]. The q-exponential distribution has been extensively used to describe the cumulative distribution functions (CDF) of seismic parameters in global and regional scale, and the AE activity in laboratory-scale fracturing experiments of rocks [24][25][26][27][28]. It is defined as follows…”