Rayleigh波在饱和半空间中凹陷地形周围的散射
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摘要
饱和场地中波的传播同单相介质情况具有显著的差异。基于Biot固液两相介质理论,采用间接边界积分方程法,求解了Rayleigh波在饱和半空间中凹陷地形周围的二维散射问题。由分布在凹陷表面附近的虚拟波源构造散射波场,由边界条件确定虚拟波源的密度。总波场由自由波场和散射波场叠加而得。通过详细的参数分析,研究了入射波频率、边界渗透条件、孔隙率、凹陷形状等因素对Rayleigh波散射的影响,得出了一些有益的结论。
The wave propagation in saturated site is significantly different from that in single-phased media.Based on Biot's solid-fluid two phased medium theory,the scattering of plane Rayleigh wave by a two-dimensional cayon in poroelastic half-space was solved by indirect boundary integration equation method.The scattered waves were constructed using the fictitious wave sources close to the canyon surface,and the boundary integral equation was obtained and numerically solved by continue boundary conditions.By parameter analysis of the typical example,the effect of incident frequency,penetration condition,the porosity and the canyon shape on scattering were discussed.Finally,some conclusions are obtained.
The wave propagation in saturated site is significantly different from that in single-phased media.Based on Biot's solid-fluid two phased medium theory,the scattering of plane Rayleigh wave by a two-dimensional cayon in poroelastic half-space was solved by indirect boundary integration equation method.The scattered waves were constructed using the fictitious wave sources close to the canyon surface,and the boundary integral equation was obtained and numerically solved by continue boundary conditions.By parameter analysis of the typical example,the effect of incident frequency,penetration condition,the porosity and the canyon shape on scattering were discussed.Finally,some conclusions are obtained.
引文
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[6]Zhou H,Chen X F.A study on the effect of depressed topography on Rayleigh surface wave[J].Chinese Journal of Geophysics,2007,50(4):1182-1189.
[7]Liang J,Liu Z.Diffraction of plane SV waves by a cavity in poroelastic half-space[J].Earthquake engineering and engineering vibration,2009,8(1):2-46.
[8]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 Dynamicsand Earthquake Engineering,2005,25:205-223.
[9]Liang J,Ba Z,Lee V W.Diffraction of plane SV waves by a shallow circular-arc canyon in a saturated poroelastic half-space[J].Soil Dynamicsand Earthquake Engineering,2006,26:582-610.
[10]Biot M A.Mechanics of deformation and acoustic propagation in porous media[J].Journal of Applied Physics,1962,33(4):1482-1498.
[2]Yuan X,Liao Z.Scattering of plane SH waves by a cylindrical canyon of circular-arc cross-section[J].Soil Dynamics and Earthquake Engineer-ing,1994,13:407-412.
[3]梁建文,李方杰,顾晓鲁.浅圆凹陷地形附近Rayleigh波的散射:高频解答[J].地震工程与工程振动,2005,25(5):24-29.
[4]Wong H L.Effect of surface topography on the diffraction of P,SV,and Rayleigh waves[J],Bulletin of Seismological Society of America,1982,72:1167-1183.
[5]Zhang C,Zhao C.Effects of canyon topography and geological conditions on strong ground motion[J].Earthquake Engineering and Structural Dy-namics,1988,16:81-97.
[6]Zhou H,Chen X F.A study on the effect of depressed topography on Rayleigh surface wave[J].Chinese Journal of Geophysics,2007,50(4):1182-1189.
[7]Liang J,Liu Z.Diffraction of plane SV waves by a cavity in poroelastic half-space[J].Earthquake engineering and engineering vibration,2009,8(1):2-46.
[8]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 Dynamicsand Earthquake Engineering,2005,25:205-223.
[9]Liang J,Ba Z,Lee V W.Diffraction of plane SV waves by a shallow circular-arc canyon in a saturated poroelastic half-space[J].Soil Dynamicsand Earthquake Engineering,2006,26:582-610.
[10]Biot M A.Mechanics of deformation and acoustic propagation in porous media[J].Journal of Applied Physics,1962,33(4):1482-1498.
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