Scaling dynamics of seismic activity fluctuations

Abstract

We study the dynamics of the seismic activity in Mexico within a framework of dynamic scaling approach to time series fluctuations, recently suggested by Balankin (Phys. Rev. E, 76 (2007) 056120). We found that the relative seismic activity and the long-sampled fluctuations of seismic activity both display a self-affine invariance within a wide range of consecutive seismic evens. Furthermore, we found that the long-sampled fluctuations of seismic activity obey the dynamic scaling ansatz analogous to the Family-Vicsek dynamic scaling ansatz in the theory of kinetic roughening of moving interfaces. These findings imply that the records of recurrent seismic events possess hidden, long-term correlations associated with the scaling dynamics of seismic activity fluctuations.

Temporal and spatial variations of seismicity scaling behavior in Southern México

“…Balankin et al (2009) performed the computation of the minimum magnitude from which the catalogue could be considered complete (M GR ). It was found that the seismic catalogue obeys the Gutenberg-Richter law log 10 N(M w > m) = a − bm (b = 0.97) for seismic events with magnitude M w > M GR = 3.6 (see Fig.…”

“…The underlying idea behind scaling studies is that the seismic activity at some large scale can be determined from those occurring at a lower scale. Scaling laws for the temporal and spatial variability of earthquakes have been obtained for various seismic regions with different tectonic properties (Bak et al, 2002;Corral, 2004;Balankin et al, 2009) and the results have indicated that the interevent periods do not follow an exponential distribution as in Poissonian process, but a rather power-law distribution. In turn, this suggests that records of seismic events are not independent, but contain long-term serial correlations.…”

Analysis of the spatial distribution between successive earthquakes occurred in various regions in the world

“…Correlations in earthquake occurrence are prominent features of seismic dynamics investigated in many works , Corral 2003, 2004a2005a, b, c;2006a, b, c;Corral and Christensen 2006, Livina et al 2004, Helmstetter 2003, Helmstetter and Sornette 2004, Saichev and Sornette 2006, Kanamori and Brodsky 2004, Mega et al 2004, Peixoto and Prado 2004, Baiesi and Paczuski 2004, Davidsen and Paczuski 2005, Davidsen et al 2006, Lindman et al 2005, 2006, Shcherbakov et al 2005aHolliday et al 2005, 2006, De Arcangelis et al 2006, Bottiglieri and Godano 2007, Balankin et al 2009, Deluca and Corral 2013. Much research work has been devoted to studying the spatio-temporal correlations of seismic events in the world.…”

Seismic Activity Seen Through Evolution of the Hurst Exponent Model in 3d

“…This gives the possibility of using the scaling approach for self-similar fractals and self-affine. [16][17][18] The self-similar fractals remain invariant when the scale is changed uniformly in all directions. The invariance can be literal, and performing a zoom of a part is seen exactly the same structure, or may be a factor scale: it looks exactly the same, but the result of the zoom is indistinguishable from the original set.…”