Application of the fractional model of deformation activity to the study of the properties of the heredity and non-stationary of the seismic process in the subduction zone of the KurilKamchatka Island arc in the relaxation phase
Abstract:
The study of the properties of the heredity and non-stationary of the seismic process in the relaxation phase is carried out on the basis of data from the earthquakes catalog of the KB FRC GS RAS (01.01.1962-31.12.2002, the subduction zone of the Kuril-Kamchatka island arc). The algorithm used considers events related only to the main event of a given energy as aftershocks based on spatial and time criteria previously developed by the authors in the statistical model of the deformation process. Due to the small samples volume of aftershocks of a given energy for a single main event, the study uses the method of superimposing «epochs» to construct empirical laws of the distribution of aftershocks waiting time. The empirical laws of aftershocks distribution are approximated by the three-parameter Mittag-Leffler function based on the fractional model of the deformation process developed by the authors. A comparative analysis of the obtained calculations results of the values of the parameters of the Mittag-Leffler function with those previously presented on the basis of an algorithm that takes into account the branching of the process is carried out. It is concluded that there are properties of non-stationary and weak heredity of the seismic process in the subduction zone of the Kuril-Kamchatka island arc in the relaxation phase.
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