Scaling laws of earthquakes derived by renormalization group method

Yukinori Iwashita and Ichiro Nakanishi

Chaos, Solitons & Fractals, 2005, vol. 24, issue 2, 511-518

Abstract: Size-frequency distribution of earthquakes (Gutenberg–Richter relation) is characterized by the b value, and its average is about 1 in observational works. The high-frequency asymptotes of displacement spectra of seismic waves provide another evidence of scale invariance of seismic faulting. The asymptotes of the observed spectra show ω−θ with θ≃2, which was first suggested by Aki [J Geophys Res 1967;72:1217–31]. Matsuba [Chaos, Solitons & Fractals 2002;13:1281–94] applied the renormalization group method to the three-dimensional Burridge–Knopoff (BK) model and obtained the relation between b and θ. b=0.880 was derived for θ=2. However, his result does not seem to explain the observed values of b.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:2:p:511-518

DOI: 10.1016/j.chaos.2004.08.002

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