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Slip‐Correlated Corner Frequency for Stochastic Finite‐Fault Modeling of Ground Motion
Bulletin of the Seismological Society of America ( IF 3 ) Pub Date : 2021-04-01 , DOI: 10.7185/0120200247
Zelin Cao, Xiaxin Tao, Zhengru Tao

In the widely used stochastic finite‐fault method, the scaling of subsource spectra effectively eliminates the dependence of the synthetics on the subsource size but makes the subsource corner frequency lose its function. For this issue, we propose the concept and determination procedure of slip‐correlated corner frequency (SCF) for stochastic finite‐fault modeling of ground motion. The proposed corner frequency is correlated negatively with the local slip and the subsource size and needs no further scaling. First, the problem of subsource scaling in the stochastic method is discussed, and the links between the corner frequency in the stochastic method and the rise time in the deterministic method are analyzed. The way how the rise‐time constraint removes the subsource dependence has reference and enlightenment functions for determining SCF. Then, based on the modeling of rise time in the deterministic method, we use random numbers correlated with the local slip to model the initial corner frequencies and then calibrate the initial values. Subsequently, the 2013 Mw 6.7 Lushan earthquake is used to validate the SCF in three aspects, the dependence on the subsource size, the bias between the observed and synthetic pseudospectral accelerations, and the difference between the synthetics using the dynamic corner frequency (DCF) and SCF. The results show that the SCF can eliminate the subsource dependence and is feasible for high‐frequency simulation. In addition, the SCF performs quite well compared with the DCF, and the negative correlation with slip contributes to removing the overestimation in the very near field. Finally, some discussions on the scaling factor are presented.

中文翻译:

与滑移相关的拐角频率,用于地面运动的随机有限故障建模

在广泛使用的随机有限故障方法中,子源频谱的缩放有效地消除了合成对子源大小的依赖性,但使子源转角频率失去了作用。针对这一问题,我们提出了滑移相关拐角频率(SCF)的概念和确定程序,用于随机随机地震动的有限故障建模。所建议的转折频率与本地滑差和子源大小负相关,并且不需要进一步缩放。首先,讨论了随机方法中子源缩放的问题,并分析了随机方法中的转折频率与确定性方法中的上升时间之间的联系。上升时间约束消除子源依赖性的方式具有确定SCF的参考和启发功能。然后,基于确定性方法中的上升时间建模,我们使用与局部滑移相关的随机数对初始拐角频率进行建模,然后校准初始值。随后,2013年庐山6.7级地震被用于从三个方面验证SCF,这三个方面分别取决于子源大小,观测到的和合成伪谱加速度之间的偏差以及使用动态转折频率(DCF)和SCF。结果表明,SCF可以消除子源依赖性,对于高频仿真是可行的。另外,与DCF相比,SCF的性能相当好,与滑移的负相关有助于消除非常近场中的高估。最后,对比例因子进行了一些讨论。
更新日期:2021-03-24
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