Analytical study on the topographic effect on ground motion of Feitsui canyon
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摘要: 地表不规则地形的存在往往会引起地震波的散射，进而产生局部地震动放大或衰减的现象。虽然地形效应最早在异常地震记录中被发现，然而利用地形影响台阵记录到的地震动数据却少之又少。基于1992年在我国台湾翡翠河谷上观测到的六条地形影响台阵记录，利用线源SH波入射下非对称V形河谷地震波传播解析理论，模拟得到了河谷台阵各点的地震动，揭示了翡翠河谷地形效应对地震动影响的规律。与实测记录的对比结果表明利用笔者提出的地震波传播解析理论能够较好地反映河谷地形对地震动的影响。Abstract: The local amplification or attenuation of ground motion is often caused by the surface irregular topography, which is due to the scattering phenomenon when the seismic wave propagates to the local topography. Although the topographic effect was first discovered in the anomalous seismic records, the ground motion data recorded by the topographic influence array are very few. There are five earthquakes recorded by six strong-motion accelerometers deployed along the Feitsui canyon recorded from the Hualien earthquake in 1992. Using our analytical theory of seismic wave propagation around a non-symmetrical V-shaped canyon excited by a line source of SH waves, the strong motion accelerations of the site were simulated. The influences of topographic effect on the ground motion of the Feitsui canyon are revealed. The comparison between the simulated results and those ground motion accelerations recorded indicates that the proposed analytical theory of seismic wave propagation around V-shaped canyon is suitable for simulating the topographic effects on ground motions.
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Keywords:
- Feitsui canyon /
- topographic effect /
- analytical solution /
- V-shaped canyon
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图 1 翡翠河谷地震动观测台阵剖面及台站分布示意图（Huang，Chiu，1995）
Figure 1. Definition sketch for the cross section of Feitsui canyon and the location of six stations （Huang，Chiu，1995）
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图 3 翡翠河谷上SC1—SC6台站所在位置的地震动放大因子随频率f的变化
Figure 3. Variation of ground motion amplification factors as a function of frequency at the stations SC1−SC6 in Feitsui canyon
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图 4 输入参考点SC3台站的地震动时程（a）和相应的傅里叶谱（b）
Figure 4. Ground motion history （a） and corresponding Fourier spectrum （b） at the input reference point SC3
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图 5 翡翠河谷上SC1—SC6台站的模拟加速度时程
Figure 5. Response acceleration time histories at the stations SC1−SC6 in Feitsui canyon
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图 6 模拟得到的翡翠河谷上SC1—SC6各点加速度傅里叶谱幅值
Figure 6. Response Fourier amplitudes of acceleration at the stations SC1−SC6 in Feitsui canyon
表 1 1992年9月花莲地震中SC1—SC6台站记录到的地震动PGA （Huang，Chiu，1995）
Table 1 PGA values at stations SC1−SC6 during Hualien earthquake in September 1992 （Huang，Chiu，1995）
台站名 PGA/（cm·s−2） 台站名 PGA/（cm·s−2） 台站名 PGA/（cm·s−2） SC1 9.7 SC2 6.5 SC3 5.2 SC4 3.6 SC5 4.5 SC6 6.0 
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表 2 SC1−SC6台站的模拟地震动PGA与监测结果对比
Table 2 Comparisons of PGA values at the stations SC1−SC6 between the records and simulation
台站名 监测PGA
/（cm·s−2）模拟PGA
/（cm·s−2）台站名 监测PGA
/（cm·s−2）模拟PGA
/（cm·s−2）台站名 监测PGA
/（cm·s−2）模拟PGA
/（cm·s−2）SC1 9.7 7.8 SC3 5.2 5.2 SC5 4.5 3.6 SC2 6.5 6.3 SC4 3.6 3.1 SC6 6.0 3.9
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