Scaling dynamics of seismic activity fluctuationsA. S. Balankin1, D. Morales Matamoros2, J. Patiño Ortiz1, M. Patiño Ortiz1, E. Pineda León1 and D. Samayoa Ochoa1
1 Grupo Mecánica Fractal, Instituto Politécnico Nacional - México D.F., Mexico
2 Instituto Mexicano de Petróleo, Eje Lázaro Cárdenas Norte - México D.F., Mexico
received 17 November 2008; accepted in final form 7 January 2009; published February 2009
published online 2 February 2009
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.
91.30.Ab - Theory and modeling, computational seismology.
89.75.Da - Systems obeying scaling laws.
95.75.Wx - Time series analysis, time variability.
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