饱和土体中圆柱体对弹性波的散射
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摘要
考虑土颗粒与孔隙流体的压缩以及孔隙流体与土骨架之间的粘性耦合作用,采用修正的Biot模型,研究了入射平面P1波在饱和土中饱和圆柱体上的散射问题,得到了散射和折射波场势函数的幅值方程,并对背向散射形函数随无量纲频率的变化曲线以及不同无量纲频率的径向位移沿周向的分布曲线进行了数值模拟。
Considering the compression of soil grain and pore fluid and viscid coupling of pore fluid and soil skeleton,elastic wave scattering by a saturated cylinder in saturated soils was studied by adopting amended Biot model,amplitude equations of potential functions of scattered wave fields and refracted wave fields were obtained,and the variation curves of back-scattered form functions with normalized frequencies and circumferential distribution curves of radical displacements of various normalized frequencies were numerically analyzed.
Considering the compression of soil grain and pore fluid and viscid coupling of pore fluid and soil skeleton,elastic wave scattering by a saturated cylinder in saturated soils was studied by adopting amended Biot model,amplitude equations of potential functions of scattered wave fields and refracted wave fields were obtained,and the variation curves of back-scattered form functions with normalized frequencies and circumferential distribution curves of radical displacements of various normalized frequencies were numerically analyzed.
引文
[1]eksler N,Izbicki J L,Conoir J M.Elastic wave scatteringby a cylindrical shell[J].Wave Motion,1999,29(3):195-209.
[2]Mow C C,Mente L J.Dynamic stresses and displace-ment around cylindrical discontinuities due to plane har-monic shear waves[J].J.Appl.Mech.,1963,30:598-604.
[3]Solomon S G,überall H,Yoo K B.Mode conversion andresonance scattering of elastic waves from a cylindricalfluid-filled cavity[J].Acoustica,1984,55:147-159.
[4]鲍亦兴,毛昭宙.弹性波的衍射与动应力集中[M].北京:科学出版社.1993,160-178.
[5]杨峻,吴世明.地震波在饱和土层面的反射与透射[J].地震学报.1997,10(1):29-35.
[6]Biot M A.Mechanics of propagation of elastic waves in afluid-saturated porous solid[J].Acoust Soc America,1956,28(2):168-191.
[7]Morochnik V,Bardet J P.Viscoelastic approximation ofporoelastic media for wave scattering problems[J].SoilDynamics and Earthquake Engineering,1996,15(6):337-346.
[8]胡亚元,王立忠,陈云敏,等.饱和土中平面应变波在圆柱上的散射和折射[J].地震学报.1998,20(3):300-307.
[9]周宇峰,王耀俊,马力,等.流体饱和多孔圆柱体的声波散射[J].物理学报.2000,49(3):480-486.
[10]陆建飞,王建华.饱和土中的任意形状孔洞对弹性波的散射[J].力学学报,2002,34(6):904-913.
[11]吴世明.土介质中的波[M].北京:科学出版社,1997,62-65.
[12]杨桂通,张善元.弹性动力学[M].北京:中国铁道出版社,1988,148-152.
[13]钟伟芳,聂国华.弹性波的散射理论[M].武汉:华中理工大学出版社,1997,144-147.
[14]Bardet J P.A viscoelastic model for the dynamic be-havior of saturated poroelastic soils[J].J.Appl.Mech.1992,59:128-159.
[2]Mow C C,Mente L J.Dynamic stresses and displace-ment around cylindrical discontinuities due to plane har-monic shear waves[J].J.Appl.Mech.,1963,30:598-604.
[3]Solomon S G,überall H,Yoo K B.Mode conversion andresonance scattering of elastic waves from a cylindricalfluid-filled cavity[J].Acoustica,1984,55:147-159.
[4]鲍亦兴,毛昭宙.弹性波的衍射与动应力集中[M].北京:科学出版社.1993,160-178.
[5]杨峻,吴世明.地震波在饱和土层面的反射与透射[J].地震学报.1997,10(1):29-35.
[6]Biot M A.Mechanics of propagation of elastic waves in afluid-saturated porous solid[J].Acoust Soc America,1956,28(2):168-191.
[7]Morochnik V,Bardet J P.Viscoelastic approximation ofporoelastic media for wave scattering problems[J].SoilDynamics and Earthquake Engineering,1996,15(6):337-346.
[8]胡亚元,王立忠,陈云敏,等.饱和土中平面应变波在圆柱上的散射和折射[J].地震学报.1998,20(3):300-307.
[9]周宇峰,王耀俊,马力,等.流体饱和多孔圆柱体的声波散射[J].物理学报.2000,49(3):480-486.
[10]陆建飞,王建华.饱和土中的任意形状孔洞对弹性波的散射[J].力学学报,2002,34(6):904-913.
[11]吴世明.土介质中的波[M].北京:科学出版社,1997,62-65.
[12]杨桂通,张善元.弹性动力学[M].北京:中国铁道出版社,1988,148-152.
[13]钟伟芳,聂国华.弹性波的散射理论[M].武汉:华中理工大学出版社,1997,144-147.
[14]Bardet J P.A viscoelastic model for the dynamic be-havior of saturated poroelastic soils[J].J.Appl.Mech.1992,59:128-159.
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