层状饱和半空间中无限长洞室群对斜入射P1波的三维散射
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摘要
给出层状饱和半空间中无限长洞室群对斜入射P1波的三维散射问题的一个间接边界元方法,通过与文献的比较验证方法的计算精度。通过数值算例分析了洞室之间距离、入射波频率、边界渗透条件等因素对散射的影响。研究表明,洞室之间存在相互作用,当洞室之间距离较小时,相互作用明显,地表位移峰值显著增大。饱和情况与干土情况地表位移存在明显差别。由于洞室之间相互作用,影响范围显著增大,可以达到40倍的洞室半径。
3-D diffraction of obliquely incident plane P1 waves by cylindrical group cavities in layered poroelastic halfspace is studied using indirect boundary element method in this paper. The validity of the approach is verified by the comparison with literature. The effects of cavity interval,incident frequency and boundary drainage condition on the diffraction are studied through numerical examples. It is shown that the interaction between cavities is significant and surface displacement peaks become large when cavities are close each other. Surface displacements in the case of poroelasticity and elasticity are evidently different. The influence range can be as large as 40 times of cavity diameter due to the interaction between cavities.
3-D diffraction of obliquely incident plane P1 waves by cylindrical group cavities in layered poroelastic halfspace is studied using indirect boundary element method in this paper. The validity of the approach is verified by the comparison with literature. The effects of cavity interval,incident frequency and boundary drainage condition on the diffraction are studied through numerical examples. It is shown that the interaction between cavities is significant and surface displacement peaks become large when cavities are close each other. Surface displacements in the case of poroelasticity and elasticity are evidently different. The influence range can be as large as 40 times of cavity diameter due to the interaction between cavities.
引文
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[8]梁建文,巴振宁.三维层状场地的精确动力刚度矩阵及格林函数[J].地震工程与工程振动,2007,27(5):7-17(Liang Jianwen,Ba Zhenning.Exact dynamic stiffness matrices of 3-D layered site and its Green’s functions[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(5):7-17(in Chinese))
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[2]Manolis G D,Beskos D E.Boundary element methods in elastodynamics[M].London:Unwin Hyman,1988:98-110
[3]Luco J E,Barros F C P.Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half-space[J].Earthquake Engineering and Structural Dynamics,1994,23:321-340
[4]梁建文,巴振宁.层状半空间中洞室对平面SH波的放大作用[J].地震工程与工程振动,2012,32(2):14-24(Liang Jianwen,Ba Zhenning.Amplification of plane SH waves by a cavity in layered half-space[J].Journal of Earthquake Engineering and Engineering Vibration,2012,32(2):14-24(in Chinese))
[5]Barros F C P,Luco J E.Diffraction of obliquely incident waves by a cylindrical cavity embedded in a layered viscoelastic half-space[J].Soil Dynamics and Earthquake Engineering,1993,12:159-171
[6]Stamos A A,Beskos D E.3-D seismic response analysis of long lined tunnels in half-space[J].Soil Dynamics and Earthquake Engineering,1996,15:111-118
[7]梁建文,魏新磊,Lee V W.圆弧形沉积谷地对平面SV波三维散射解析解[J].岩土工程学报,2009,31(9):1345-1353(Liang Jianwen,Wei Xinlei,Lee V W.3D scattering of plane SV waves by a circular-arc alluvial valley[J].Chinese Journal of Geotechnical Engineering,2009,31(9):1345-1353(in Chinese))
[8]梁建文,巴振宁.三维层状场地的精确动力刚度矩阵及格林函数[J].地震工程与工程振动,2007,27(5):7-17(Liang Jianwen,Ba Zhenning.Exact dynamic stiffness matrices of 3-D layered site and its Green’s functions[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(5):7-17(in Chinese))
[9]梁建文,巴振宁.三维层状半空间中斜面均布荷载动力格林函数[J].地震工程与工程振动,2007,27(5):18-26(Liang Jianwen,Ba Zhenning.Dynamic Green’s functions for uniformly distributed loads acting on an inclined plane in 3-D layered site[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(5):18-26(in Chinese))
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