Båth's law derived from the Gutenberg‐Richter law and from aftershock properties
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- Agnès Helmstetter
- Institute of Geophysics and Planetary Physics University of California Los Angeles California USA
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- Didier Sornette
- Institute of Geophysics and Planetary Physics University of California Los Angeles California USA
書誌事項
- 公開日
- 2003-10
- 権利情報
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- http://onlinelibrary.wiley.com/termsAndConditions#vor
- DOI
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- 10.1029/2003gl018186
- 公開者
- American Geophysical Union (AGU)
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説明
<jats:p>The empirical Båth's law states that the average difference in magnitude between a mainshock and its largest aftershock is 1.2, regardless of the mainshock magnitude. Following <jats:ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#grl17402-bib-0013"><jats:italic>Vere‐Jones</jats:italic>' [1969]</jats:ext-link> and <jats:ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#grl17402-bib-0002"><jats:italic>Console et al.</jats:italic> [2003]</jats:ext-link>, we show that the origin of Båth's law is to be found in the selection procedure used to define mainshocks and aftershocks rather than in any difference in the mechanisms controlling the magnitude of the mainshock and of the aftershocks. We use the ETAS model of seismicity, which provides a more realistic model of aftershocks, based on (i) a universal Gutenberg‐Richter (GR) law for all earthquakes, and on (ii) the increase of the number of aftershocks with the mainshock magnitude. Using numerical simulations of the ETAS model, we show that this model is in good agreement with Båth's law in a certain range of the model parameters.</jats:p>
収録刊行物
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- Geophysical Research Letters
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Geophysical Research Letters 30 (20), 2069-, 2003-10
American Geophysical Union (AGU)
