Order parameter fluctuations in natural time and b-value variation before large earthquakes

Abstract

Self-similarity may stem from two origins: the process' increments infinite variance and/or process' memory. The $b$-value of the Gutenberg-Richter law comes from the first origin. In the frame of natural time analysis of earthquake data, a fall of the b-value observed before large earthquakes reflects an increase of the order parameter fluctuations upon approaching the critical point (mainshock). The increase of these fluctuations, however, is also influenced from the second origin of self-similarity, i.e., temporal correlations between earthquake magnitudes. This is supported by observations and simulations of an earthquake model.

12 pages including 4 figures, originally submitted for publication on January 23, 2012

References in corpus (5)

• Investigation of the seismicity after the initiation of a Seismic Electric Signal activity until the main shock
• On the influence of time and space correlations on the next earthquake magnitude
• Detrended fluctuation analysis of the magnetic and electric field variations that precede rupture
• Space-Time Clustering and Correlations of Major Earthquakes
• The role of static stress diffusion in the spatio-temporal organization of aftershocks