Influence of lining tunnel on sub-ground motion for incident plane SH wave excitation
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摘要: 以地下隧道对附近场地动力特性的影响为研究目标，基于弹性波动理论，利用波函数展开法和镜像法，分析了弹性半空间中圆形衬砌隧道对平面SH波入射产生的散射问题，得到了地下圆形衬砌隧道附近场地位移的级数解答。通过数值算例分析了地下圆形衬砌隧道对场地动力响应的影响，重点考察了SH波入射角度、入射频率和隧道埋深、衬砌刚度对隧道周围土体动力响应随深度变化的影响规律。结果表明，地下隧道对沿线场地的地下地震动影响显著。Abstract: Taking the influence of underground tunnel on the dynamic characteristics of the nearby site as the researched objective, this paper analyzed the scattering of incident plane SH wave resulted from circular lining tunnel in elastic half space by using the wave function expansion method and the image theory based on the elastic wave theory, and then obtained the series solution of the site displacement near the underground circular lining tunnel. Numerical examples are used to analyze the influence of the underground circular tunnel on the dynamic response of the site, i.e., the influence of SH wave incidence angle, incident frequency, tunnel depth and lining stiffness on the dynamic response of soil around the tunnel with depth. The results show that underground tunnel has a significant impact on sub-ground motion along the site.
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Keywords:
- plane SH wave /
- circular lining tunnel /
- image method /
- sub-ground motions
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图 4 隧道两侧SH波从不同角度入射时的地下位移幅值变化曲线
Figure 4.
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图 5 不同隧道埋深时隧道两侧的SH波地下位移幅值变化
Figure 5. Variation of underground displacement amplitude with D/a for SH waves on both sides of the tunnel
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图 6 不同入射频率时隧道两侧的SH波地下位移幅值变化曲线
Figure 6. Variation of underground displacement amplitude with η for SH waves on both sides of the tunnel
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图 7 不同隧道衬砌刚度隧道两侧的SH波地下位移幅值变化
Figure 7. Variations of underground displacement amplitude with lining stiffness for SH waves on both sides of the tunnel
表 1 距地表6a深度范围内隧道左右两侧最大地下位移幅值
Table 1 The maximum amplitude of underground displacement on both sides of tunnel within a depth of 6a from surface
入射角/° 地下位移幅值 x/a=−3.0 x/a=−1.5 x/a=1.5 x/a=3.0 0 2.66 2.79 2.79 2.66 30 2.90 2.83 2.31 2.45 60 3.30 2.37 2.64 2.61 90 3.31 3.94 3.37 3.01 
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