用小波分析导出的脉冲-周期-矩-幅值关系及其与结构变形估计的相关性
Pulse-Period--Moment-Magnitude Relations Derived with Wavelet Analysis and their Relevance to Estimate Structural Deformations
摘要：
本文从结构峰值位移与类脉冲地震动脉冲周期$T_p$的二次关系出发，重新考察了近源地震地震动与震中距$D\leq$ 20 km的$T_p$ -- $M_\text{W}$关系。用小波分析询问总共1260个地面运动，以识别能量加速度脉冲（不是速度脉冲），并提取它们的最佳周期$T_p$、振幅$a_p$、相位$ϕ$和半周期数$γ$。利用小波分析对加速度记录进行分析，能够提取出具有工程意义的短脉冲，这些短脉冲可以覆盖较长的近源脉冲。小波分析识别出109条正断层的脉冲状记录、188条逆断层的脉冲状记录和125条走滑断层的脉冲状记录，震中距均为$D\leq$ 20 km。对提取的数据进行回归分析得出结论，相同的$T_p$ - $M_\text{W}$关系可以用于脉冲状地震动产生的走滑断层或从正常的故障，而不同的$T_p$ - $M_{\text{W}}$关系，提出了逆断层。研究结果表明，对于相同的矩震级$M_{\text{W}}$，走滑断层产生的地震动脉冲周期平均大于逆断层产生的地震动脉冲周期。最重要的是，我们对加速度记录的小波分析产生的$T_p$- $M_{\text{W}}$关系的斜率比过去的研究者在仅仅拟合速度脉冲后提出的$T_p$- $M_{\text{W}}$关系的斜率低。因此，我们提出的$T_p$ - $M_{\text{W}}$关系产生较低的$T_p$值较大的地震（如$M_{\text{W}}>$ 6），允许可靠的峰值结构位移，规模不变的估计与$a_pT_p^{\text{2}}$。
英文摘要：
Motivated from the quadratic dependence of peak structural displacements to the pulse period, $T_p$, of pulse-like ground motions, this paper revisits the $T_p$--$M_\text{W}$ relations of ground motions generated from near-source earthquakes with epicentral distances, $D\leq$ 20 km. A total of 1260 ground motions are interrogated with wavelet analysis to identify energetic acceleration pulses (not velocity pulses) and extract their optimal period, $T_p$, amplitude, $a_p$, phase, $ϕ$ and number of half-cycles, $γ$. The interrogation of acceleration records with wavelet analysis is capable of extracting shorter-duration distinguishable pulses with engineering significance, which override the longer near-source pulses. Our wavelet analysis identified 109 pulse-like records from normal faults, 188 records from reverse faults and 125 records from strike-slip faults, all with epicentral distances $D\leq$ 20 km. Regression analysis on the extracted data concluded that the same $T_p$--$M_\text{W}$ relation can be used for pulse-like ground motions generated either from strike-slip faults or from normal faults; whereas, a different $T_p$--$M_{\text{W}}$ relation is proposed for reverse faults. The study concludes that for the same moment magnitude, $M_{\text{W}}$, the pulse periods of ground motions generated from strike-slip faults are on average larger than these from reverse faults. Most importantly, our wavelet analysis on acceleration records produces $T_p$--$M_{\text{W}}$ relations with a lower slope than the slopes of the $T_p$--$M_{\text{W}}$ relations presented by past investigators after merely fitting velocity pulses. As a result, our proposed $T_p$--$M_{\text{W}}$ relations yield lower $T_p$ values for larger-magnitude earthquakes (say $M_{\text{W}}>$ 6), allowing for the estimation of dependable peak structural displacements that scale invariably with $a_pT_p^{\text{2}}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
