层状半空间中多层沉积谷地时域地震响应分析

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (18) : 78-88.

论文

巴振宁1,2，王莹1，梁建文1,2

作者信息 +

Seismic response analysis of a multi-layered sedimentary valley in a layered half-space in time domain

BA Zhenning1,2，WANG Ying1，LIANG Jianwen1,2

Author information +

文章历史 +

摘要

基于作者此前提出的多域间接边界元方法，对多层沉积谷地的二维时域地震响应问题进行了研究。方法首先在频域内求解，然后经由快速傅里叶逆变换叠加频域结果求得时域解答。采用全空间荷载格林函数和半空间格林函数分别构造沉积层闭合域内和开口半无限空间域内散射波场，使得两种格林函数的优势充分发挥。文中验证了提出方法的正确性，进而以El Centro波作为输入地震动，进行了典型成层谷地的计算分析，重点讨论沉积层序对谷地附近地震动峰值和反应频谱的影响。研究表明，不同沉积层序情况对应的地表地震动时程及其地震反应谱有着显著差异，具体表现为沉积正常排列时，沉积内部水平加速度时程峰值最大，而对应的反应谱峰值周期最小；沉积层逆序排列时，沉积内部水平加速度时程峰值最小，而对应的反应谱峰值周期最大。另外，逆序沉积削弱了一部分中、高频波段的能量，相比正常沉积层序，起到了一定的“隔震”效果。

Abstract

The two-dimensional seismic response in time domain of the multi-layered sedimentary valley is investigated by using a multi-domain indirect boundary element method. In this approach, the seismic response is calculated in frequency domain firstly, and then the frequency-domain calculations are superposed and transformed back into the time-domain by the fast Fourier transform method. Multi-domain IBEM uses the full-space Green’s functions and the layered half-space Green’s functions to construct the scattered wave fields in the sediment enclosed domains and in the open semi-infinite space domain, respectively. This method can inherit the advantages of both Green’s functions. On the basis of verifying the validity of this method, numerical results of the typical layered valleys under incident El Centro wave are given. This paper focuses on the effect of the variation of sedimentary sequence on the peaks and response spectrum of the seismic ground motion nearby valley. The results show that the variation of sedimentary leads to observable differences in the seismic accelerations and the seismic response spectra. Specifically, when sedimentary layers are in normal sequence, the seismic acceleration peak is the largest, while the corresponding response spectrum peak period is the smallest; When sedimentary layers are in inverted sequence, the seismic acceleration peak is the smallest, while the corresponding response spectrum peak period is the largest. In addition, inverted-sequence sediment weakens the energy of the intermediate- and high-frequency waveband. Comparing with normal-sequence sediment, inverted-sequence sediment appears to be a good shock insulation.

导出引用

巴振宁1,2，王莹1，梁建文1,2. 层状半空间中多层沉积谷地时域地震响应分析[J]. 振动与冲击, 2020, 39(18): 78-88

BA Zhenning1,2，WANG Ying1，LIANG Jianwen1,2. Seismic response analysis of a multi-layered sedimentary valley in a layered half-space in time domain[J]. Journal of Vibration and Shock, 2020, 39(18): 78-88

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