S波由饱和土入射于弹性土时在界面上的反射与透射
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摘要
从地震工程实际出发,借助Biot多孔介质中的波动方程,根据各种界面条件导出了S波从饱和土入射于弹性土时在交界面上反射与透射的一般计算公式。作为算例,数值计算分析了S波从饱和土入射于饱和土与弹性土交界面时,饱和土中P1、P2 和S波的反射系数以及弹性土中P波、SV射系数与界面排水条件、入射角以及频率之间的关系。结果表明:各种波的反射、透射系数与入射角、入射频率以及界面排水条件有关系。
By use of Biot's theory of wave propagation in porous medium, general expressions of reflection and refraction at kinds of interfaces are presented when elastic waves propagate from saturated soil to elastic soil. As a numerical example, the case when the S waves (shear wave)act as incident waves is considered and the reflection coefficients of P 1 wave, P 2 wave(slow compression wave)and S wave in saturated soils and the refraction coefficients of P and S waves in elastic soil are calculated. Results indicate that the reflection and refraction coefficients are variable with the incident angle, incident frequency and interface drainage condition. The results will help us to understand the behavior of seismic wave propagation.
By use of Biot's theory of wave propagation in porous medium, general expressions of reflection and refraction at kinds of interfaces are presented when elastic waves propagate from saturated soil to elastic soil. As a numerical example, the case when the S waves (shear wave)act as incident waves is considered and the reflection coefficients of P 1 wave, P 2 wave(slow compression wave)and S wave in saturated soils and the refraction coefficients of P and S waves in elastic soil are calculated. Results indicate that the reflection and refraction coefficients are variable with the incident angle, incident frequency and interface drainage condition. The results will help us to understand the behavior of seismic wave propagation.
引文
1 BiotMA.Thetheoryofpropagationofelasticwavesinafluid-saturedporoussolid.J.Acoust.Soc.Am.,1956,28:168—178
2 StollRD,KanTK.Reflectionofacousticwavesatawater-sedimentinterface,J.Acoust.Soc.Am.,1981,70:149—156
3 王耀俊,尹会明.多孔媒质界面上声波的反射.声学技术,1989,8(2):5—10
4 赵成刚,高福平.波在饱和多孔介质与弹性固体介质交界面上的界面效应。地震工程与工程振动,1999,19(1):1—6
5 杨佳通,张善元.弹性动力学.北京:铁道出版社,1988,109—117
6 蔡袁强,徐长节.饱水岩层中粘弹性波的传播.地震学报,1998,20(3):250—254
2 StollRD,KanTK.Reflectionofacousticwavesatawater-sedimentinterface,J.Acoust.Soc.Am.,1981,70:149—156
3 王耀俊,尹会明.多孔媒质界面上声波的反射.声学技术,1989,8(2):5—10
4 赵成刚,高福平.波在饱和多孔介质与弹性固体介质交界面上的界面效应。地震工程与工程振动,1999,19(1):1—6
5 杨佳通,张善元.弹性动力学.北京:铁道出版社,1988,109—117
6 蔡袁强,徐长节.饱水岩层中粘弹性波的传播.地震学报,1998,20(3):250—254
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