Abstract
An analysis of the possible relationship between fractal dimensions of the active fault network, spatial distribution of earthquake epicenters, and parameter b in the Gutenberg-Richter law is presented. The quantitative characteristics of self-similarity of the seismic process and the active fault network of seismically active areas of Eurasia are obtained. This self-similarity manifests itself over a range of at least two orders of spatial scales and magnitudes. The obtained estimations of the fractal dimensions of the fault network Df and epicenter field De are close for all the areas analyzed. It is established that the average value connecting values D and b for all the investigated areas is slightly higher than the theoretical value (2.0) and varies within the range of 1.7–2.4.
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