dorsal/arxiv
View SchemaOn the Spatial Scaling of Seismicity Rate
| Authors | G. Molchan, T. Kronrod |
|---|---|
| Categories | |
| ArXiv ID | physics/0511024 |
| URL | https://arxiv.org/abs/physics/0511024 |
| DOI | 10.1111/j.1365-246X.2005.02693.x |
| Journal | Geophys. J. Int. (2005) 162, 899-909 |
Abstract
Scaling analysis of seismicity in the space-time-magnitude domain very often starts from the relation N(m,L)=a(L)*10**(-bm)*L**c for the rate of seismic events of magnitude M>m in an area of size L. There is some evidence in favor of multifractality being present in seismicity. In this case the optimal choice of the scale exponent c is not unique. It is shown how different c's are related to different types of spatial averaging applied to N(m,L) and what are the c's for which the distributions of a(L) best agree for small L. Theoretical analysis is tested using California data.
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"abstract": "Scaling analysis of seismicity in the space-time-magnitude domain very often\nstarts from the relation N(m,L)=a(L)*10**(-bm)*L**c for the rate of seismic\nevents of magnitude M\u003em in an area of size L. There is some evidence in favor\nof multifractality being present in seismicity. In this case the optimal choice\nof the scale exponent c is not unique. It is shown how different c\u0027s are\nrelated to different types of spatial averaging applied to N(m,L) and what are\nthe c\u0027s for which the distributions of a(L) best agree for small L. Theoretical\nanalysis is tested using California data.",
"arxiv_id": "physics/0511024",
"authors": [
"G. Molchan",
"T. Kronrod"
],
"categories": [
"physics.geo-ph"
],
"doi": "10.1111/j.1365-246X.2005.02693.x",
"journal_ref": "Geophys. J. Int. (2005) 162, 899-909",
"title": "On the Spatial Scaling of Seismicity Rate",
"url": "https://arxiv.org/abs/physics/0511024"
},
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