饱和土中孔列对平面快纵波的隔离效应
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摘要
在Biot饱和土波动理论的基础上,用单排孔列作为屏障,对全空间饱和土中入射平面快纵波进行了隔离分析。采用波函数展开法,将入射波和散射波的势函数展开成Fourier-Bessel函数的无穷级数的形式,利用一组可以求解多散射问题的圆柱坐标系统和界面处位移连续的条件,得到问题的理论解。对影响隔离效果的孔间距和饱和土的渗透性等参数进行了分析,结果表明,单相弹性土体中孔列隔离效果要比饱和土体差,饱和土的渗透性对隔离效果有较明显的影响,饱和土渗透系数越小,孔列屏障后一定距离处的隔离效果越好。
In this paper,on the basis of Biot's dynamic theory,the isolation of one cavity array as barrier for plane fast longitudinal wave is investigated in saturated soils in a homogeneous unbounded space.By using wave functions,the potential functions of incident waves and scattered waves are expanded into infinite series of Fourier-Bessel functions.Theoretical solutions are found by using a set of cylindrical coordinates,which can solve multiple-scattering problems.The influence of cavity spacing and saturated soil permeability coefficient on the isolation effect of cavity array is studied,and the results show that the permeability coefficient of saturated soils has a significant influence on the isolation effect of cavity array compared with single-phase elastic soil.The isolation effect at a certain distance from the cavity array becomes more apparent as the permeability coefficient of saturated soil decreases.
In this paper,on the basis of Biot's dynamic theory,the isolation of one cavity array as barrier for plane fast longitudinal wave is investigated in saturated soils in a homogeneous unbounded space.By using wave functions,the potential functions of incident waves and scattered waves are expanded into infinite series of Fourier-Bessel functions.Theoretical solutions are found by using a set of cylindrical coordinates,which can solve multiple-scattering problems.The influence of cavity spacing and saturated soil permeability coefficient on the isolation effect of cavity array is studied,and the results show that the permeability coefficient of saturated soils has a significant influence on the isolation effect of cavity array compared with single-phase elastic soil.The isolation effect at a certain distance from the cavity array becomes more apparent as the permeability coefficient of saturated soil decreases.
引文
[1]Richart F E,Hall J R,Woods R D.Vibration of soils and foundations[M].Englewood Cliffs,NJ:Prentice-Hall,1970.
[2]Woods R D.Screening of surface waves in soils[J].Journal of the Soil Mechanics and Foundations Division,ASCE,1968,94(4):951-79.
[3]Liao S,Sangrey D A.Use of piles as isolation barriers[J].Journal of Geotechnical Engineering Division,ASCE,1978,104(9):1139-52.
[4]Avilés J,Sánchez-Sesma F J.Piles as barriers for elastic waves[J].Journal of geotechnical engineering,1983,109(9):1133-46.
[5]Kani Y,Hayakawa K.Simulation analysis about effects of a PC wall-pile barrier on reducing ground vibration[C].Proceedings of the Interna-tional Offshore and Polar Engineering Conference,Honolulu,HI,United States 2003:1224-1229.
[6]胡昌斌,黄晓明.成层黏弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(4):205-211.
[7]徐平,夏唐代,吴明.刚性空心管桩屏障对P波和SH波的隔离效果研究[J].工程力学,2008,25(5):210-217.
[8]Gao G Y,Li Z Y,Qiu C,et al.Three-dimensional analysis of rows of piles as passive barriers for ground vibration isolation[J].Soil Dynamicsand Earthquake Engineering,2006,26(11):1015-1027.
[9]Tsai P H,Feng Z Y,Jen TL.Three-dimensional analysis of the screening effectiveness of hollowpile barriers for foundation-induced verticalvibration[J].Computers and Geotechnics,2008,35(3):489-499.
[10]Biot MA.Theory of propagation of elastic waves in a fluid-saturated porous solid[J].Journal of the Acoustical Society of America 1956,28(2):168-78.
[11]Stoll R D,Kan TK.Reflection of acoustic waves at a water-sediment interface[J].Journal of the Acoustical Society of America,1981,70(1):149-56.
[2]Woods R D.Screening of surface waves in soils[J].Journal of the Soil Mechanics and Foundations Division,ASCE,1968,94(4):951-79.
[3]Liao S,Sangrey D A.Use of piles as isolation barriers[J].Journal of Geotechnical Engineering Division,ASCE,1978,104(9):1139-52.
[4]Avilés J,Sánchez-Sesma F J.Piles as barriers for elastic waves[J].Journal of geotechnical engineering,1983,109(9):1133-46.
[5]Kani Y,Hayakawa K.Simulation analysis about effects of a PC wall-pile barrier on reducing ground vibration[C].Proceedings of the Interna-tional Offshore and Polar Engineering Conference,Honolulu,HI,United States 2003:1224-1229.
[6]胡昌斌,黄晓明.成层黏弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(4):205-211.
[7]徐平,夏唐代,吴明.刚性空心管桩屏障对P波和SH波的隔离效果研究[J].工程力学,2008,25(5):210-217.
[8]Gao G Y,Li Z Y,Qiu C,et al.Three-dimensional analysis of rows of piles as passive barriers for ground vibration isolation[J].Soil Dynamicsand Earthquake Engineering,2006,26(11):1015-1027.
[9]Tsai P H,Feng Z Y,Jen TL.Three-dimensional analysis of the screening effectiveness of hollowpile barriers for foundation-induced verticalvibration[J].Computers and Geotechnics,2008,35(3):489-499.
[10]Biot MA.Theory of propagation of elastic waves in a fluid-saturated porous solid[J].Journal of the Acoustical Society of America 1956,28(2):168-78.
[11]Stoll R D,Kan TK.Reflection of acoustic waves at a water-sediment interface[J].Journal of the Acoustical Society of America,1981,70(1):149-56.
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