Liang Jianwen, Chen Jianqi, Ba Zhenning. 2013: 3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space (Ⅱ): Numerical results and analysis. Acta Seismologica Sinica, 35(2): 173-183. DOI: 10.3969/j.issn.0253-3782.2013.02.004
Citation: Liang Jianwen, Chen Jianqi, Ba Zhenning. 2013: 3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space (Ⅱ): Numerical results and analysis. Acta Seismologica Sinica, 35(2): 173-183. DOI: 10.3969/j.issn.0253-3782.2013.02.004

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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  • Received Date: December 05, 2011
  • Revised Date: April 22, 2012
  • Published Date: February 28, 2013
  • 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.
  • 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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