Macro-Spatial and Inter-Period Correlation of Spectral Acceleration Found In Simulated Ground Motion

Site-Corrected Magnitude- and Region-Dependent Correlations of Horizontal Peak Spectral Amplitudes

“…In this distance range, the within-event residual correlations between short period PSAs (T 1 ¼ 0.02 s) and the moderate-long period PSAs (T 2 > 0.5 s) are significantly weaker than the event-and-site corrected correlations. In a similar exercise using K-NET and KiK-net strong motion data, Itoi and Takada (2012) observed the contrary, that is, the within-event correlations are stronger than the event-and-site corrected correlations. Itoi and Takada (2012) used strong motion data from 19 aftershocks (M J > 5) following the 2004 Niigata-ken Chuetsu earthquake, with peak horizontal acceleration less than 0.2 g and hypocentral distances less than 100km.…”

“…In a similar exercise using K-NET and KiK-net strong motion data, Itoi and Takada (2012) observed the contrary, that is, the within-event correlations are stronger than the event-and-site corrected correlations. Itoi and Takada (2012) used strong motion data from 19 aftershocks (M J > 5) following the 2004 Niigata-ken Chuetsu earthquake, with peak horizontal acceleration less than 0.2 g and hypocentral distances less than 100km. The stations selected by Itoi and Takada (2012) are located such that the source-site azimuth (path) is very similar for the 19 aftershocks.…”

“…Itoi and Takada (2012) used strong motion data from 19 aftershocks (M J > 5) following the 2004 Niigata-ken Chuetsu earthquake, with peak horizontal acceleration less than 0.2 g and hypocentral distances less than 100km. The stations selected by Itoi and Takada (2012) are located such that the source-site azimuth (path) is very similar for the 19 aftershocks. In such data sets, the observed within-event record-to-record variability is small due to similarity of propagation path and site response (from considering only recordings with PSA < 0.2 g).…”

“…These empirical correlation models are widely used in engineering applications, for example, simulation of scenario response spectra (Baker and Cornell 2006), vector-valued probabilistic seismic hazard assessment (VPSHA; Bazzurro and Cornell 2002), and conditional spectra (CS) for an effective selection of time histories matching a design scenario (Baker 2011). For this purpose, several correlation models were developed using strong motion data sets from a) GFZ German Research Centre for Geosciences, Telegrafenberg, 14473 Potsdam, Germany b) University of Potsdam, Institute of Earth-and Environmental Sciences Europe-Middle East (e.g., Cimellaro 2013, Akkar et al 2014a, regional data sets (e.g., Jayaram et al 2011, Itoi andTakada 2012), and global data sets (e.g., Baker and Cornell 2006, Baker and Jayaram 2008, Azarbakht et al 2014, Abrahamson et al 2014, Baker and Bradley 2017. Based on the findings of Baker and Cornell (2005), the subsequent totalresidual correlation models reported no significant magnitude and distance dependence.…”

Statistical Equations of Response Spectra of Crustal Earthquake for Assessment of Multiple Facilities Seismic Risk

“…そのため、まず、地震動観測記録に基づく統計式(距離減衰式)を提案する。距離減衰式は、一般に、 震源特性の説明変数をモーメントマグニチュード、伝播経路特性の説明変数を断層最短距離、地盤増幅 特性の説明変数を地盤種別や30m平均S波速度とする 5) 。近年では、応力降下量などのより詳細な震源特 性の影響 6), 7) や、深部地下構造による地盤増幅特性の影響 8)-11) を考慮する距離減衰式も提案されている。 一方、応答スペクトルの多地点同時予測を確率論的に行うためには、観測記録の距離減衰式からの残 差(予測誤差)の周期間相関 12), 13) および空間相関特性 4) を同時にモデル化する必要がある 14)-16) 。既往の研 究では、応答スペクトルについて周期間相関 12), 17), 18) 、最大速度や最大加速度などの単一の地震動指標に ついて空間相関 2), 4) のモデル化を行うものが多い。 応答スペクトル距離減衰式の残差の周期間相関や空間 相関の要因については文献19), 20…”