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Statistical Tests of Load-Unload Response Ratio Signals by Lattice Solid Model: Implication to Tidal Triggering and Earthquake Prediction

机译:格点实体模型的加卸载响应比信号的统计测试:对潮汐触发和地震预报的影响

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摘要

— Statistical tests of Load-Unload Response Ratio (LURR) signals are carried in order to verify statistical robustness of the previous studies using the Lattice Solid Model (Mora et al., 2002b). In each case 24 groups of samples with the same macroscopic parameters (tidal perturbation amplitude A, period T and tectonic loading rate k) but different particle arrangements are employed. Results of uni-axial compression experiments show that before the normalized time of catastrophic failure, the ensemble average LURR value rises significantly, in agreement with the observations of high LURR prior to the large earthquakes. In shearing tests, two parameters are found to control the correlation between earthquake occurrence and tidal stress. One is, A/(k T) controlling the phase shift between the peak seismicity rate and the peak amplitude of the perturbation stress. With an increase of this parameter, the phase shift is found to decrease. Another parameter, A T/k, controls the height of the probability density function (Pdf) of modeled seismicity. As this parameter increases, the Pdf becomes sharper and narrower, indicating a strong triggering. Statistical studies of LURR signals in shearing tests also suggest that except in strong triggering cases, where LURR cannot be calculated due to poor data in unloading cycles, the larger events are more likely to occur in higher LURR periods than the smaller ones, supporting the LURR hypothesis.
机译:—进行载荷-卸载响应比(LURR)信号的统计测试,以验证使用莱迪思固体模型的先前研究的统计稳健性(Mora等,2002b)。在每种情况下,采用具有相同宏观参数(潮汐扰动幅度A,周期T和构造加载速率k)但具有不同粒子排列的24组样本。单轴压缩实验的结果表明,在灾难性破坏的归一化时间之前,整体平均LURR值显着上升,这与大地震之前高LURR的观测结果一致。在剪切试验中,发现了两个参数来控制地震发生和潮汐应力之间的相关性。一种是,A /(k T)控制峰值地震活动率和摄动应力峰值之间的相移。随着该参数的增加,发现相移减小。另一个参数A T / k控制建模地震活动的概率密度函数(Pdf)的高度。随着此参数的增加,Pdf会变得越来越陡峭和狭窄,表明有很强的触发力。在剪切试验中对LURR信号的统计研究还表明,除了在强触发情况下,由于在卸荷循环中由于数据不佳而无法计算LURR之外,较大的事件更有可能在较小的LURR周期内发生,这支持较小的假设。

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