Seismic Interevent Time: A Spatial Scaling and Multifractality

Details Seismic Interevent Time: A Spatial Scaling and Multifractality Seismic Interevent Time: A Spatial Scaling and Multifractality

2005-12-29

arxiv.org/abs/physics/0512264v2

Physics

Geophysics

Scientific paper

The optimal scaling problem for the time t(LxL) between two successive events in a seismogenic cell of size L is considered. The quantity t(LxL) is defined for a random cell of a grid covering a seismic region G. We solve that problem in terms of a multifractal characteristic of epicenters in G known as the tau-function or generalized fractal dimensions; the solution depends on the type of cell randomization. Our theoretical deductions are corroborated by California seismicity with magnitude M>2. In other words, the population of waiting time distributions for L = 10-100 km provides positive information on the multifractal nature of seismicity, which impedes the population to be converted into a unified law by scaling. This study is a follow-up of our analysis of power/unified laws for seismicity (see PAGEOPH 162 (2005), 1135 and GJI 162 (2005), 899).

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