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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 05 Feb 2019

Research article | 05 Feb 2019

Review status
This discussion paper is a preprint. A revision of the manuscript is under review for the journal Nonlinear Processes in Geophysics (NPG).

Mahalanobis distance based recognition of changes in the dynamics of seismic process

Teimuraz Matcharashvili1, Zbigniew Czechowski2, and Natalia Zhukova1 Teimuraz Matcharashvili et al.
  • 1M. Nodia Institute of Geophysics, Tbilisi State University, Tbilisi, Georgia
  • 2Institute of Geophysics, Polish Academy of Sciences, Warsaw, Poland

Abstract. In present work we aimed to analyze regularity of seismic process based on all its spatial, temporal and energetic characteristics. Increments of cumulative times, increments of cumulative distances and increments of cumulative seismic energies, have been calculated from southern California earthquake catalogue, 1975 to 2017.

Used method of analysis represented combination of multivariate Mahalanobis distance calculation with the surrogate data testing. Prior to proceed to the analysis of dynamical features of seismic process we have tested used approach for two different 3 dimensional models in which dynamical features were changed from more regular to the more randomized conditions by adding some extent of noises.

Analysis of variability in the extent of regularity of seismic process have been accomplished for different representative threshold values.

According to results of our analysis about third part of considered 50 data windows, the original seismic process is indistinguishable from random process by its features of temporal, spatial and energetic variability. It was shown that prior to strong earthquake occurrences, in periods of relatively small earthquakes generation, percentage of windows in which seismic process is indistinguishable from random process essentially increases (to 60–80 %). At the same time, in periods of aftershock activity in all considered windows the process of small earthquake generation become regular and thus is strongly different from randomized catalogues.

In some periods of catalogue time span seismic process looks closer to randomness while in other cases it becomes closer to regular behavior. Exactly, in periods of relatively decreased earthquake generation activity (at smaller energy release), seismic process looks random-like while in periods of occurrence of strong events, followed by series of aftershocks, it reveal significant deviation from randomness – the extent of regularity essentially increases. The period, for which such deviation from the random behavior can last, depends on the amount of seismic energy released by the strong earthquake.

Teimuraz Matcharashvili et al.
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Teimuraz Matcharashvili et al.
Teimuraz Matcharashvili et al.
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