Scaling Law of Seismic Spectrum
Scaling Law of Seismic Spectrum : The law governing the frequency-dependent growth of the seismic spectrum with the increase of earthquake magnitude. The saturation of a magnitude scale is one of its consequences. It is also important for (roughly) estimating strong ground motion for a large earthquake based on the observed data for smaller ones. However, depending on the actual stress drop, the corner frequencies may vary for equal seismic moment by about one order. This explains the sometimes large differences between seismic moment magnitude Mw and energy magnitude Me. See Aki and Richards (2002 or 2009, p. 513-516), Chapter 3 in this Manual, Madariaga and Olsen (2002, p. 185-186), and Eq. (6.1) in BenZion (2003), as well as Fig. 1 in Bormann et al. (2009), and Fig. 2 in Bormann and Di Giacomo (2011)
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