Note for the Paper : A Proposal of the Scaling Relation for the Short-Period Level Associated with the Three-Stage Model of Inland Crustal Earthquakes

Abstract

To solve the problem of evaluating the area S_SMGA of SMGA data, which was a problem in an examination of the strong motion generation area (SMGA) data in the previous paper (Tohdo et al., 2022), the area S_SMGA was evaluated directly from SMGA data in a mean sense. In this evaluation, S_SMGA was scaled with M₀^2/3, M₀^1/2, M₀¹ for seismic moment M_0, associated with the three-stage model in the “Recipe.” The empirical equation for the M₀-S_SMGA relationship was established by applying the least squares method to the SMGA data, and the stress drop calculated using this equation and the pre-set empirical equation for the short-period level was constant regardless of M₀ for each stage of the three-stage, and it was confirmed that they were consistent with the SMGA data.