Universal mean moment rate profiles of earthquake ruptures

Details Universal mean moment rate profiles of earthquake ruptures Universal mean moment rate profiles of earthquake ruptures

2005-09-09

arxiv.org/abs/cond-mat/0509226v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 5 figures

Scientific paper

10.1103/PhysRevE.73.056104

Earthquake phenomenology exhibits a number of power law distributions including the Gutenberg-Richter frequency-size statistics and the Omori law for aftershock decay rates. In search for a basic model that renders correct predictions on long spatio-temporal scales, we discuss results associated with a heterogeneous fault with long range stress-transfer interactions. To better understand earthquake dynamics we focus on faults with Gutenberg-Richter like earthquake statistics and develop two universal scaling functions as a stronger test of the theory against observations than mere scaling exponents that have large error bars. Universal shape profiles contain crucial information on the underlying dynamics in a variety of systems. As in magnetic systems, we find that our analysis for earthquakes provides a good overall agreement between theory and observations, but with a potential discrepancy in one particular universal scaling function for moment-rates. The results reveal interesting connections between the physics of vastly different systems with avalanche noise.

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