Omega-Squared Model 1


Omega-Squared Model 1 :

A widely used earthquake source model associated with the farfield body-waves. It is based on the displacement amplitude spectrum and is characterized by having a flat low-frequency part and a power-law decay (with the power of 2) in the high frequency part, separated by the corner frequency. The level of the flat low-frequency part is proportional to the seismic moment and the corner frequency is inversely proportional to the linear dimension of the source. See Hanks (1979) and Aki and Richards (2002 and 2009, Chapters 10 and 11) for its observational and physical bases. The observed seismic spectra tend to be lower than predicted by this model at frequencies higher than a limit called fmax. A practical procedure for computing the time history of strong ground motion, including the fmax effect, was given by Boore (1983) based on this model. See Brune model, seismic moment, corner frequency, fmax, Fig. 1 on p. 1871 in Bormann et al. (2009), and Eq. (6.1) in Ben-Zion (2003)

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