层状饱和半空间中沉积谷地对斜入射平面P1波的三维散射
|
摘要
在作者给出层状饱和场地三维精确动力刚度矩阵和层状饱和半空间中移动荷载动力格林函数基础上,采用间接边界元方法在频域内求解了层状流体饱和场地中沉积谷地对斜入射平面P1波的三维散射问题。该方法的特点在于虚拟移动均布荷载和斜线孔隙水压可以直接施加在沉积与层状饱和半空间交界面而不存在奇异性。该文通过与已有结果的比较验证了方法的正确性,并以均匀饱和半空间和弹性基岩上单一饱和土层中沉积谷地为例进行了数值计算分析。研究表明,沉积谷地对平面P1波的三维散射与二维散射之间存在本质差别,入射角度、孔隙率、饱和土层刚度和饱和土层厚度等参数对沉积谷地附近动力响应有着显著影响。
The indirect boundary element method is used to study the 3D wave scattering problem of obliquely incident plane P1 waves by an alluvial valley embedded in a fluid-saturated,layered half-space in frequency domain,based on the given 3D exact dynamic stiffness matrix and Green's functions of moving distributed loads in a fluid-saturated,layered half-space.The method has the advantage that fictitious moving distributed loads and pore pressure can be acted directly on the interface of the valley and the layered half space without singularity.The rationality of the method is validated by comparing with known results,and the numerical analyses are performed by examples of a valley embedded in a fluid-saturated half space and in a single fluid saturated soil layer over elastic bedrock.It is shown that the 3D scattering is essentially different from the 2D case and the parameters such as incident angle,porosity,layer stiffness and layer thickness,etc.have significant effect on the dynamic responses near the valley.
The indirect boundary element method is used to study the 3D wave scattering problem of obliquely incident plane P1 waves by an alluvial valley embedded in a fluid-saturated,layered half-space in frequency domain,based on the given 3D exact dynamic stiffness matrix and Green's functions of moving distributed loads in a fluid-saturated,layered half-space.The method has the advantage that fictitious moving distributed loads and pore pressure can be acted directly on the interface of the valley and the layered half space without singularity.The rationality of the method is validated by comparing with known results,and the numerical analyses are performed by examples of a valley embedded in a fluid-saturated half space and in a single fluid saturated soil layer over elastic bedrock.It is shown that the 3D scattering is essentially different from the 2D case and the parameters such as incident angle,porosity,layer stiffness and layer thickness,etc.have significant effect on the dynamic responses near the valley.
引文
[1]Boore D M,Larner K L,Aki K.Comparison of two independent methods for the solution of wave scattering problems:Response of a sedimentary basin to incident SH waves[J].J Geophysical Research,1971,76:558―569.
[2]廖振鹏.工程波动理论导论[M].第二版.北京:科学出版社,2002:132―135.Liao Zhenpeng.Introduction to wave motion theories for engineering[M].2nd ed.Beijing:Science Press,2002:132―135.(in Chinese)
[3]Sainchez-Sesma F J,Ramos-Martinez J,Campillo M.An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P,S and Rayleigh Waves[J].Earthquake Eng Struct Dyn,1993,22:279―295.
[4]Dravinski M,Mossessian T K.Scattering of plane harmonic P,SV,and Rayleigh waves by dipping layers of arbitrary shape[J].Bull Seism Soc Am,1987,77:212―235.(参考文献[5]―[19]
[5]Liang Jianwen,Liu Zhongxian.Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space(I):Formulation[J].Earthquake Science,2009,22(3):215―222.(in Chinese)
[6]Liang Jianwen,Liu Zhongxian.Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space(II):Numerical results and discussions[J].Earthquake Science,2009,22(3):223―230.(in Chinese)
[7]Kawase H,Aki K.A study on the response of a soft basin for incident S,P and Rayleigh waves with special reference to the long duration observed in Mexico city[J].Bull Seism Soc Am,1989,79(5):1361―1382.
[8]Semblat J F,Kham M,Parara E,et al.Seismic wave amplification:Basin geometry vs soil layering[J].Soil Dyn Earthq Eng,2005,25:529―538.
[9]梁建文,巴振宁.弹性层状半空间中沉积谷地对入射平面SH波的放大作用[J].地震工程与工程振动,2007,27(3):1―9.Liang Jianwen,Ba Zhenning.Surface motion of an alluvial valley in layered half-space for incident plane SH waves[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3):1―9.(in Chinese)
[10]Ba Zhenning,Liang Jianwen.Surface motion of an alluvial valley in layered half-space for incident plane P-waves[J].Transactions of Tianjin University,2011,17(3):157―165.(in Chinese)
[11]巴振宁,梁建文.平面SV波在层状半空间中沉积谷地周围的散射[J].地震工程与工程振动,2011,31(3):18―26.Ba Zhenning,Liang Jianwen.Diffraction of plane SV waves around an alluvial valley in layered half-space[J].Journal of Earthquake Engineering and Engineering Vibration,2011,31(3):18―26.(in Chinese)
[12]梁建文,魏新磊,Lee V W.圆弧型沉积谷地对平面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)
[13]梁建文,魏新磊,Lee V W.圆弧型沉积谷地对平面P波三维散射解析解[J].岩土力学,2010,31(2):461―470.Liang Jianwen,Wei Xinlei,Lee V W.3D scattering of plane P waves by a circular-arc alluvial valley[J].Chinese Journal of Geotechnical Engineering,2010,31(2):461―470.(in Chinese)
[14]梁建文,魏新磊,Lee V W.圆弧型沉积谷地对平面Rayleigh波三维散射解析解[J].天津大学学报,2009,42(1):24―34.Liang Jianwen,Wei Xinlei,Lee V W.3D scattering of plane Rayleigh waves by a circular-arc alluvial valley[J].Journal of Tianjin University,2009,42(1):24―34.(in Chinese)
[15]De Barros FCP,Luco JE.Amplication of obliquely incident waves by a cylindrical valley embedded in a layered half-space[J].Soil Dyn Earthq Engng,1995,14:163―175.
[16]巴振宁.层状半空间中格林函数和局部场地对弹性波的散射[D].天津:天津大学,2005.Ba Zhenning.Green’s Functions for layered half space and elastic wave scattering by local sites[D].Tianjin:Tianjin University,2005.(in Chinese)
[17]Biot M A.The theory of propagation of elastic waves in a fluid-saturated porous solid I:Low-frequency range[J].J Acoust Soc Am,1956,28:168―178.
[18]Biot M A.The theory of propagation of elastic waves in a fluid-saturated porous solid II:Higher-frequency range[J].J Acoust Soc Am,1956,28:179―191.
[19]Lin C H,Lee V W,Trifunac M D.The reflection of plane waves in a poroelastic half-space fluid saturated with inviscid fluid[J].Soil Dyn Earthquake Eng,2005,25:205―223.
[2]廖振鹏.工程波动理论导论[M].第二版.北京:科学出版社,2002:132―135.Liao Zhenpeng.Introduction to wave motion theories for engineering[M].2nd ed.Beijing:Science Press,2002:132―135.(in Chinese)
[3]Sainchez-Sesma F J,Ramos-Martinez J,Campillo M.An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P,S and Rayleigh Waves[J].Earthquake Eng Struct Dyn,1993,22:279―295.
[4]Dravinski M,Mossessian T K.Scattering of plane harmonic P,SV,and Rayleigh waves by dipping layers of arbitrary shape[J].Bull Seism Soc Am,1987,77:212―235.(参考文献[5]―[19]
[5]Liang Jianwen,Liu Zhongxian.Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space(I):Formulation[J].Earthquake Science,2009,22(3):215―222.(in Chinese)
[6]Liang Jianwen,Liu Zhongxian.Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space(II):Numerical results and discussions[J].Earthquake Science,2009,22(3):223―230.(in Chinese)
[7]Kawase H,Aki K.A study on the response of a soft basin for incident S,P and Rayleigh waves with special reference to the long duration observed in Mexico city[J].Bull Seism Soc Am,1989,79(5):1361―1382.
[8]Semblat J F,Kham M,Parara E,et al.Seismic wave amplification:Basin geometry vs soil layering[J].Soil Dyn Earthq Eng,2005,25:529―538.
[9]梁建文,巴振宁.弹性层状半空间中沉积谷地对入射平面SH波的放大作用[J].地震工程与工程振动,2007,27(3):1―9.Liang Jianwen,Ba Zhenning.Surface motion of an alluvial valley in layered half-space for incident plane SH waves[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3):1―9.(in Chinese)
[10]Ba Zhenning,Liang Jianwen.Surface motion of an alluvial valley in layered half-space for incident plane P-waves[J].Transactions of Tianjin University,2011,17(3):157―165.(in Chinese)
[11]巴振宁,梁建文.平面SV波在层状半空间中沉积谷地周围的散射[J].地震工程与工程振动,2011,31(3):18―26.Ba Zhenning,Liang Jianwen.Diffraction of plane SV waves around an alluvial valley in layered half-space[J].Journal of Earthquake Engineering and Engineering Vibration,2011,31(3):18―26.(in Chinese)
[12]梁建文,魏新磊,Lee V W.圆弧型沉积谷地对平面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)
[13]梁建文,魏新磊,Lee V W.圆弧型沉积谷地对平面P波三维散射解析解[J].岩土力学,2010,31(2):461―470.Liang Jianwen,Wei Xinlei,Lee V W.3D scattering of plane P waves by a circular-arc alluvial valley[J].Chinese Journal of Geotechnical Engineering,2010,31(2):461―470.(in Chinese)
[14]梁建文,魏新磊,Lee V W.圆弧型沉积谷地对平面Rayleigh波三维散射解析解[J].天津大学学报,2009,42(1):24―34.Liang Jianwen,Wei Xinlei,Lee V W.3D scattering of plane Rayleigh waves by a circular-arc alluvial valley[J].Journal of Tianjin University,2009,42(1):24―34.(in Chinese)
[15]De Barros FCP,Luco JE.Amplication of obliquely incident waves by a cylindrical valley embedded in a layered half-space[J].Soil Dyn Earthq Engng,1995,14:163―175.
[16]巴振宁.层状半空间中格林函数和局部场地对弹性波的散射[D].天津:天津大学,2005.Ba Zhenning.Green’s Functions for layered half space and elastic wave scattering by local sites[D].Tianjin:Tianjin University,2005.(in Chinese)
[17]Biot M A.The theory of propagation of elastic waves in a fluid-saturated porous solid I:Low-frequency range[J].J Acoust Soc Am,1956,28:168―178.
[18]Biot M A.The theory of propagation of elastic waves in a fluid-saturated porous solid II:Higher-frequency range[J].J Acoust Soc Am,1956,28:179―191.
[19]Lin C H,Lee V W,Trifunac M D.The reflection of plane waves in a poroelastic half-space fluid saturated with inviscid fluid[J].Soil Dyn Earthquake Eng,2005,25:205―223.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心