P_1波在饱和土层和建筑基础界面的反射与透射
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摘要
考虑了土颗粒、孔隙流体的压缩性及孔隙流体与土骨架之间的粘性耦合作用,采用修改的Biot模型分析入射P1波在饱和土体和建筑基础界面的反射与透射,得到了反射系数与透射系数的一般计算式,并对反射系数、透射系数随入射角、频率的变化规律进行了数值模拟.结果表明,入射角是影响反射和透射系数的主要因素.
Considering the compression of soil grain and pore fluid and viscid coupling of pore fluid and soil skeleton,reflection and transmission of incident P1 wave at the interface of saturated soil and building was studied by adopting amended Biot model.The computation formula of reflectance and transmission coefficients was drawn out and the relationship of coefficients of reflection,transmission and incidence angle and frequency was numerically simulated.The results revealed that the incident angle is the important factor that affects the reflectance and transmission coefficients.
Considering the compression of soil grain and pore fluid and viscid coupling of pore fluid and soil skeleton,reflection and transmission of incident P1 wave at the interface of saturated soil and building was studied by adopting amended Biot model.The computation formula of reflectance and transmission coefficients was drawn out and the relationship of coefficients of reflection,transmission and incidence angle and frequency was numerically simulated.The results revealed that the incident angle is the important factor that affects the reflectance and transmission coefficients.
引文
[1]Biot M A.Mechanics of propagation of elastic waves in a fluid-saturated porous solid[J].Acoust Soc America,1956,28(1):168-191.
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[4]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.YANG Jun,WU Shi-ming.Reflection and transmission of seismic wave at the interfaces of saturated soils[J].ActaSeismologica Sinica,1997,10(1):29-35(in Chinese).
[5]胡亚元,王立忠,陈云敏,等.弹性波在横向各向同性弹性土和饱和土界面上的反射与透射[J].地震学报,1998,20(6):598-606.HU Ya-yuan,WANG Li-zhong,CHEN Yun-min,et al.Reflection and transmission of elastic at the interface oftransversely isotropic elastic soils and saturatea soils[J].Acta Seismologica Sinica,1998,20(6):598-606(in Chinese).
[6]赵成刚,高福平,崔杰.波在饱和多孔介质与弹性固体介质交界面上界面效应[J].地震工程与工程振动,1999,19(1):1-6.ZHAO Cheng-gan,GAO Fu-ping,CUI Jie.Boundary effect of wave propagating from liquid-filled porous medium to solidmedium[J].Earthquake Engineering and Engineering Vibration,1999,19(1):1-6(in Chinese).
[7]夏唐代,陈龙珠,吴世明,等.半空间饱和土中瑞利波特性[J].水利学报,1998(2):47-53.XIA Tang-dai,CHEN Long-zhu,WU Shi-ming,et al.Characteristics of Ralyeigh waves in a saturatedhalf space soil[J].Journal of Hydraulic Engineering,1998(2):47-53(in Chinese).
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[9]杨桂通,弱善元.弹性动力学[M].北京:中国铁道出版社,1988:110-117.
[2]Hajra S,Mukhopodhyay A.Reflection and refraction of seismic waves incident obliquely at the boundary of a liquidsaturated porous solid[J].Bull Seism Soc America,1982,72:1509-1533.
[3]吴昆裕,薛强.弹性波在两种流体饱和多孔介质界面上的反射和透射[J].中国科学技术大学学报,1992,22(1):44-50.WU Kun-yu,XUE Qiang.Reflection and transmission of elastic waves at the interface of two fluid-saturated,porousmedia[J].Journal of University of Science and Technology of China,1992,22(1):44-50(in Chinese).
[4]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.YANG Jun,WU Shi-ming.Reflection and transmission of seismic wave at the interfaces of saturated soils[J].ActaSeismologica Sinica,1997,10(1):29-35(in Chinese).
[5]胡亚元,王立忠,陈云敏,等.弹性波在横向各向同性弹性土和饱和土界面上的反射与透射[J].地震学报,1998,20(6):598-606.HU Ya-yuan,WANG Li-zhong,CHEN Yun-min,et al.Reflection and transmission of elastic at the interface oftransversely isotropic elastic soils and saturatea soils[J].Acta Seismologica Sinica,1998,20(6):598-606(in Chinese).
[6]赵成刚,高福平,崔杰.波在饱和多孔介质与弹性固体介质交界面上界面效应[J].地震工程与工程振动,1999,19(1):1-6.ZHAO Cheng-gan,GAO Fu-ping,CUI Jie.Boundary effect of wave propagating from liquid-filled porous medium to solidmedium[J].Earthquake Engineering and Engineering Vibration,1999,19(1):1-6(in Chinese).
[7]夏唐代,陈龙珠,吴世明,等.半空间饱和土中瑞利波特性[J].水利学报,1998(2):47-53.XIA Tang-dai,CHEN Long-zhu,WU Shi-ming,et al.Characteristics of Ralyeigh waves in a saturatedhalf space soil[J].Journal of Hydraulic Engineering,1998(2):47-53(in Chinese).
[8]吴世明.土介质中的波[M].北京:科学出版社,1997:62-65.
[9]杨桂通,弱善元.弹性动力学[M].北京:中国铁道出版社,1988:110-117.
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