2004
DOI: 10.1785/0120030159
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Static and Dynamic Scaling Relations for Earthquakes and Their Implications for Rupture Speed and Stress Drop

Abstract: We investigate the relation between a static scaling relation, M 0 (seismic moment) versus f 0 (spectral corner frequency), and a dynamic scaling relation between M 0 and E R (radiated energy). These two scaling relations are not independent. Using the variational calculus, we show that the ratio ẽ ‫ס‬ E R /M 0 has a lower bound, w 10 able data on these scaling relations. We note that the scaling relation, Dr s V 3 ϰ , suggests that even if ẽ is scale independent and M 0 ϰ (i.e., e ‫ס‬ 0),

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Cited by 193 publications
(178 citation statements)
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“…We computed the source parameters of the major events of two seismic sequences, scaling relation of Kanamori and Rivera (2004), as discussed in Franceschina et al (2005).…”
Section: Discussionmentioning
confidence: 99%
“…We computed the source parameters of the major events of two seismic sequences, scaling relation of Kanamori and Rivera (2004), as discussed in Franceschina et al (2005).…”
Section: Discussionmentioning
confidence: 99%
“…) range from 0.1 to 1 of E R /M 0 for large events (M W 7) [Kanamori and Rivera, 2004]. This implies that a lower bound of that for given M 0 and f c may decrease with M 0 and suggest that the scaling relation needs to be modified to M 0 / f c À(3+e) (e 1).…”
Section: à5mentioning
confidence: 99%
“…More importantly, the derived stress drops here have taken directivity into account and do not rely on corner frequency estimates that depend on azimuth and source models (Kaneko & Shearer 2015). The derived source parameters such as fault length, rupture velocity, and stress drop can provide valuable data for studying the physics of earthquakes (Kanamori & Rivera 2004). In comparison, the second moment method is another welldeveloped means of utilizing the second-order expansion of the moment tensor to capture overall characteristics of the spatiotemporal rupture distribution (Backus 1997a,b;McGuire et al 2001McGuire et al , 2002Chen et al 2005).…”
Section: Directivity Moment Tensor Inversion 1073mentioning
confidence: 99%