3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space (Ⅱ): Numerical results and analysis
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摘要: 以基岩上单一土层场地为例， 计算分析了在斜入射平面SH波作用下弹性层状半空间中无限长洞室附近的地表位移. 研究表明， 层状半空间中地下洞室对波的散射与均匀半空间情况存在显著差别. 层状场地由于考虑了场地自身的动力特性， 使得洞室附近地表位移幅值的空间变化更为复杂， 基岩与土层刚度比、 土层厚度对散射效应均有着重要影响. 随着基岩与土层刚度比的增大， 地表位移幅值整体上逐渐增大； 随着土层厚度的增大， 土层对地表位移幅值的影响逐渐减小. 在频域解答的基础上， 给出了层状半空间中洞室对斜入射SH波散射的时域解答， 并以Ricker波为例进行了数值计算.Abstract: Surface displacements around a cylindrical cavity in layered elastic half-space under obliquely incident plane SH waves is studied by using the simplest model of single layer over bedrock. The result shows that there are distinct differences between the scattered waves by a cavity in layered half-space and those in homogeneous half-space. The layered half-space makes the surface displacement amplitudes around a cylindrical cavity much more complicated due to its resonant characteristics, both the bedrock-to-soil layer stiffness ratio and the thickness of the soil layer having important effect on the scattering. On the whole, surface displacement amplitudes increase with the increasing of bedrock-to-soil layer stiffness ratio, and the effects of soil layer on surface displacement amplitude decrease with the thickening of soil layer. The paper also presents a time-domain scattering solution on the basis of frequency-domain solutions, taking the Ricker waves as an example.
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Keywords:
- layered elastic half-space /
- cylindrical cavity /
- plane SH waves /
- 3D scattering /
- Ricker wave /
- obliquely incident
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图 1 基岩与土层刚度比变化对洞室附近地表位移幅值的影响. (a) η=0.125； (b) η=0.25
Figure 1. Effect of bedrock to soil layer stiffness ratio on surface displacement amplitude near cavity. (a) η=0.125； (b) η=0.25
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图 1 基岩与土层刚度比变化对洞室附近地表位移幅值的影响. (a) η=0.375； (b) η=0.5
Figure 1. Effect of bedrock to soil layer stiffness ratio on surface displacement amplitude near cavity. (a) η=0.375； (b) η=0.5
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图 1 基岩与土层刚度比变化对洞室附近地表位移幅值的影响. (a) η=1.0； (b) η=2.0
Figure 1. Effect of bedrock to soil layer stiffness ratio on surface displacement amplitude near cavity. (a) η=1.0； (b) η=2.0
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图 2 土层厚度变化对洞室附近地表位移幅值的影响. (a) η=0.125； (b) η=0.25
Figure 2. Effect of soil layer thickness on surface displacement amplitude near cavity. (a) η=0.125； (b) η=0.25
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图 2 土层厚度变化对洞室附近地表位移幅值的影响. (c) η=0.375； (d) η=0.5
Figure 2. Effect of soil layer thickness on surface displacement amplitude near cavity. (c) η=0.375； (d) η=0.5
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图 3 时域内洞室附近地表位移 (a) 均匀半空间； (b) 基岩上单一土层(crs/cls=2.0，H/a=4.0)；(c) 基岩上单一土层(crs/cls=5.0，H/a=4.0)；(d) 基岩上单一土层(crs/cls=5.0，H/a=8.0)
Figure 3. Time-domain surface displacementnear cavity (a) Homogeneous half-space； (b) Single layer over bedrock (crs/cls=2.0，H/a=4.0)； (c) Single layer over bedrock (crs/cls=5.0，H/a=4.0)；(d) Single layer over bedrock (crs/cls=5.0，H/a=8.0)
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梁建文, 陈健琦, 巴振宁. 2012. 弹性层状半空间中无限长洞室对斜入射平面SH波的三维散射(Ⅰ): 方法及验证[J]. 地震学报, 34(6): 785-792. De Barros F C P, Luco J E. 1993. Diffraction of obliquely incident waves by a cylindrical cavity embedded in a layered viscoelastic half-space[J]. Soil Dyn Earthq Eng, 12(3): 159-171.
Kobayashi S, Nishimura N. 1983. Analysis of dynamic soil-structure interactions by boundary integral equation method[M]//Lascaux P ed. Numerical Methods in Engineering. Paris: Pluraris: 353-362.
Lee V W, Trifunac M D. 1979. Response of tunnels to incident SH-waves[J]. J Eng Mech-ASCE, 105(4): 643-659.
Luco J E, De Barros F C P. 1994. Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half-space[J]. Earthq Eng Struct Dyn, 23(3): 321-340.
Manolis G D, Beskos D E. 1988. Boundary Element Methods in Elastodynamics[M]. London: Unwin Hyman: 98-110.
Stamos A A, Beskos D E. 1996. 3-D seismic response analysis of long lined tunnels in half-space [J]. Soil Dyn Earthq Eng, 15(2): 111-118.
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