Characteristics of the seismic process within the statistical diffusion model of plastic flows

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   Statistical model of plastic flows on the example of the subduction zone
   of the Kuril-Kamchatka arch was developed according to the data of Global
   CMT catalog for the period 1976-2005 (magnitude values 4-7,
   50^o-60^oN, 156^o-166^oE, 221 events),
   and the basic characteristics of the flows were determined on the basis of
   the probabilistic approach to the seismic process.

   Uncertainty conditions, that always exist in nature, determine the
   probabilistic character of seismic processes. Spatial scale of the region,
   in which seismogeodynamic process develops, in the case of seismic
   non-catastrophic events, considerably exceeds the size of the earthquake
   source and the radius of the influence area where the stress is dropping.
   Criterion of small increments is performed that's why seismic events can
   be considered as weak fluctuations and that allows us to apply diffusion
   approximation.

   Presence of temporal and spatial relation between seismic events defines,
   in general case, the seismic process as a non-local and non-Markov
   stochastic process. These dependences are mathematically expressed in the
   correlation of seismic events on temporal and spatial scales, the choice
   of which is determined by environment characteristics and the seismic
   process itself. The direction and the value of a shift for each event
   determine the direction of plastic flow. In the development of plastic
   flow model within diffusion approach in the first approximation, scheme of
   stochastic wandering on states was applied, that is a special case of
   Markov chains. For each chain, that is a plastic flow, average velocity,
   principal eigenvector of the flow and the parameters, characterizing the
   deviation from the principal values, were defined.