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Empirical analysis of path effects on prediction equations of pseudo-velocity response spectra in northern Japan

机译：路径对日本北部拟速度响应谱预测方程影响的实证分析

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We study path effects on prediction equations of pseudo-velocity response spectra (natural period of 0.1-5.0 s) in northern Japan, where heterogeneous attenuation structure exists. The path effects have been examined by comparing the regression analysis results for two different prediction equations. The first equation consists of a single term of anelastic attenuation conventionally. The second equation consists of two terms of anelastic attenuation in consideration of the heterogeneous attenuation structure. In the second equation, we divide a source-to-site distance into two distances at the attenuation boundary beneath the volcanic front. The boundary is considered to separate the relatively high Q fore-arc side mantle wedge (FAMW) from the low Q back-arc side mantle wedge (BAMW). Strong motion records (hypocentral distances less than 300km) from interplate and intraslab events with Mw 5.1-7.3 are used. Regression analysis results show that the standard errors are significantly reduced by the second prediction equation at short periods (0.1-0.5 s), whereas the difference in standard errors from both prediction equations is negligible at intermediate and long periods. The Qs values (quality factor for S-wave) converted from two anelastic attenuation coefficients for the second prediction equation are remarkably similar to the path-averaged Qs values for the FAMW and BAMW by other studies using spectral inversion method. From these findings, we conclude that the path effects on the prediction equation of pseudo-velocity response spectra are satisfactorily accomplished by the second prediction equation.
机译：我们研究了日本北部存在异质衰减结构的伪速度响应谱（自然周期为0.1-5.0 s）的预测方程的路径效应。通过比较两个不同预测方程的回归分析结果，检查了路径效应。第一个方程式通常由一个非弹性衰减项组成。考虑到异构衰减结构，第二个方程由非弹性衰减的两个项组成。在第二个方程中，我们将源到站点的距离在火山锋下方的衰减边界处分为两个距离。该边界被认为是将相对较高的Q弧前地幔楔（FAMW）与较低Q的弧后地幔楔（BAMW）分开。使用Mw 5.1-7.3的板间和板内事件的强运动记录（震中距离小于300 km）。回归分析结果表明，第二个预测方程在短期（0.1-0.5 s）内标准误差显着降低，而在中期和长期，这两个预测方程的标准误差差异可忽略不计。由第二预测方程的两个非弹性衰减系数转换而来的Qs值（S波的品质因数）与通过频谱反演方法进行的其他研究得出的FAMW和BAMW的路径平均Qs值非常相似。从这些发现，我们得出结论，第二速度预测方程可以令人满意地完成路径对伪速度响应谱预测方程的影响。

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