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In this study, new empirical relations are proposed to determine the Fourier amplitude spectrum of acceleration. The FASAs form the white-noise spectrum in the stochastic ground motion simulation methods. So far, various analytical and experimental models have been proposed to determine the FASA. ω −2  is among the most well-known models are used in the computational programs of ground motion simulation such as SMSIM or EXSIM. In this study, the relationship between the FASA, and the important seismological parameters such as moment magnitude, closest distance from rupture plane, site conditions and faulting mechanism is determined, and appropriate relations are presented. There are limited experimental models of FASA, and present models are mainly analytical. Therefore, the results of this research can be beneficial. To present models, the Iran Plateau earthquake catalog is used, including 2228 acceleration records of 749 earthquakes with magnitudes of 4.5–7.6 and rupture distance up to 200 km.

New Empirical Equations for Determination of Fourier Amplitude Spectrum of Acceleration