dorsal/arxiv
View SchemaSeismic Interevent Time: A Spatial Scaling and Multifractality
| Authors | G. Molchan, T. Kronrod |
|---|---|
| Categories | |
| ArXiv ID | physics/0512264 |
| URL | https://arxiv.org/abs/physics/0512264 |
Abstract
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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"abstract": "The optimal scaling problem for the time t(LxL) between two successive events\nin a seismogenic cell of size L is considered. The quantity t(LxL) is defined\nfor a random cell of a grid covering a seismic region G. We solve that problem\nin terms of a multifractal characteristic of epicenters in G known as the\ntau-function or generalized fractal dimensions; the solution depends on the\ntype of cell randomization. Our theoretical deductions are corroborated by\nCalifornia seismicity with magnitude M\u003e2. In other words, the population of\nwaiting time distributions for L = 10-100 km provides positive information on\nthe multifractal nature of seismicity, which impedes the population to be\nconverted into a unified law by scaling. This study is a follow-up of our\nanalysis of power/unified laws for seismicity (see PAGEOPH 162 (2005), 1135 and\nGJI 162 (2005), 899).",
"arxiv_id": "physics/0512264",
"authors": [
"G. Molchan",
"T. Kronrod"
],
"categories": [
"physics.geo-ph",
"cond-mat.other",
"cond-mat.stat-mech"
],
"title": "Seismic Interevent Time: A Spatial Scaling and Multifractality",
"url": "https://arxiv.org/abs/physics/0512264"
},
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