饱和土介质中地震波在水、气分界面上的反射与透射
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摘要
基于修改的Biot模型,研究地震波在气饱和土中的传播特性以及地震波在饱和土中气、水界面上的反射和透射.从理论上分析气饱和土与水饱和土的特性差异,根据界面连续条件推导了反射系数与透射系数的一般计算式;通过数值算例分析了气饱和土中波的传播特性,并分析了饱和土中P1波入射气、水界面时反射系数和透射系数与入射角及频率的关系.结果表明,波在气饱和土中的传播与水饱和土中有较大差异;频率和入射角度对反射系数与透射系数均有较大影响;并获得了波传播的某些新认识.这对地震工程的波动勘测技术和场地反应分析具有理论及实际意义.
Based on the modified Biot′s theory of two-phase porous media, a study was presented on seismic reflection and transmission coefficients at an air-water interface of saturated porous soil media. The major differences between air-saturated soils and water-saturated soils were theoretically discussed, the theoretical formulas of reflection and transmission coefficients at an air-water interface were derived. The characteristics of propagation and attenuation of elastic waves in air-saturated soils were given and the relations among the frequency, the angle of incidence and the reflection, transmission coefficients were analyzed by using numerical methods. Numerical results show that the propagation characteristic of the wave in air-saturated soils is great different from that of wave in water-saturated soils. The frequency and the angle of incidence can have great influences on the reflection and transmission coefficients at interface.Some new cognition about the wave propagation is obtained and the study suggests that we may carefully pay attention to the influence of air on the dynamic analysis of seismic wave.
Based on the modified Biot′s theory of two-phase porous media, a study was presented on seismic reflection and transmission coefficients at an air-water interface of saturated porous soil media. The major differences between air-saturated soils and water-saturated soils were theoretically discussed, the theoretical formulas of reflection and transmission coefficients at an air-water interface were derived. The characteristics of propagation and attenuation of elastic waves in air-saturated soils were given and the relations among the frequency, the angle of incidence and the reflection, transmission coefficients were analyzed by using numerical methods. Numerical results show that the propagation characteristic of the wave in air-saturated soils is great different from that of wave in water-saturated soils. The frequency and the angle of incidence can have great influences on the reflection and transmission coefficients at interface.Some new cognition about the wave propagation is obtained and the study suggests that we may carefully pay attention to the influence of air on the dynamic analysis of seismic wave.
引文
胡亚元,王立忠,陈云敏,等.1998.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,20(6):598~606
李伟华.2002.饱和度对波在土层交界面的反射、透射系数的影响[J].西北地震学报,24(4):303~309
乔文孝,王宁,严炽培.1992.声波在两种多孔介质界面上的反射和透射[J].地球物理学报,35(2):242~248
杨峻,吴世明,蔡袁强.1996.饱和土中弹性波的传播特性[J].振动工程学报,9(2):128~137
杨峻,吴世明.1997.地震波在饱和土层界面的反射与透射[J].地震学报,19(1):29~35
叶陈江,史焱永,蔡袁强.2005.S波由饱和土入射于弹性土时在界面上的反射与透射[J].振动与冲击,24(2):42~45
赵成刚,高福平,崔杰.1999.波在饱和多孔介质与弹性固体介质交界面上的界面效应[J].地震工程与工程振动,19(1):2~6
AttenboroughK,RichardsTL.1989.Solidparticlemotioninducedbyapointsourceaboveaporoelastichalf-space[J].JAcoustSocAmer,86(3):1085~1092
BiotMA.1962.Mechanicsofdeformationandacousticpropagationinporousmedia[J].JApplPhys,33(4):1482~1498
DeresiewiczH,LevyA.1967.Theeffectofboundariesonwavepropagationinaliquid-filledporoussolid:Ⅹ.Transmis-sionthroughastratifiedmedia[J].BullSeismolSocAmer,57(3):381~392
DonaldGA.1993.Acomparisonbetweenwavepropagationinwater-saturatedandair-saturatedporousmaterials[J].JApplPhys,73(1):28~36
HajraS,MukhopodhyayA.1982.Reflectionandrefractionofseismicwavesincidentobliquelyattheboundaryofaliq-uid-saturatedporoussolid[J].BullSeismSocAmer,72(5):1509~1533
LinChi-Hsin,LeeVW,TrifunacMD.2005.Thereflectionofplanewavesinaporoelastichalf-spacesaturatedwithin-viscidfluid[J].SoilDynamicsandEarthquakeEngineering,25:205~223
PhilippacopoulosAJ.1987.Wavesinapartiallysaturatedlayeredhalf-space,analyticalformulation[J].BullSeismSocAmer,77(5):908~923
YangJun.2000.Influenceofwatersaturationonhorizontalandverticalmotionataporoussoilinterfaceinducedbyinci-dentPwave[J].SoilDynamicsandEarthquakeEngineering,19:575~581
StollRD,KanTK.1991.Reflectionofacousticwaveatawater-sedimentinterface[J].JAcoustSocAm,70(1):149~156
李伟华.2002.饱和度对波在土层交界面的反射、透射系数的影响[J].西北地震学报,24(4):303~309
乔文孝,王宁,严炽培.1992.声波在两种多孔介质界面上的反射和透射[J].地球物理学报,35(2):242~248
杨峻,吴世明,蔡袁强.1996.饱和土中弹性波的传播特性[J].振动工程学报,9(2):128~137
杨峻,吴世明.1997.地震波在饱和土层界面的反射与透射[J].地震学报,19(1):29~35
叶陈江,史焱永,蔡袁强.2005.S波由饱和土入射于弹性土时在界面上的反射与透射[J].振动与冲击,24(2):42~45
赵成刚,高福平,崔杰.1999.波在饱和多孔介质与弹性固体介质交界面上的界面效应[J].地震工程与工程振动,19(1):2~6
AttenboroughK,RichardsTL.1989.Solidparticlemotioninducedbyapointsourceaboveaporoelastichalf-space[J].JAcoustSocAmer,86(3):1085~1092
BiotMA.1962.Mechanicsofdeformationandacousticpropagationinporousmedia[J].JApplPhys,33(4):1482~1498
DeresiewiczH,LevyA.1967.Theeffectofboundariesonwavepropagationinaliquid-filledporoussolid:Ⅹ.Transmis-sionthroughastratifiedmedia[J].BullSeismolSocAmer,57(3):381~392
DonaldGA.1993.Acomparisonbetweenwavepropagationinwater-saturatedandair-saturatedporousmaterials[J].JApplPhys,73(1):28~36
HajraS,MukhopodhyayA.1982.Reflectionandrefractionofseismicwavesincidentobliquelyattheboundaryofaliq-uid-saturatedporoussolid[J].BullSeismSocAmer,72(5):1509~1533
LinChi-Hsin,LeeVW,TrifunacMD.2005.Thereflectionofplanewavesinaporoelastichalf-spacesaturatedwithin-viscidfluid[J].SoilDynamicsandEarthquakeEngineering,25:205~223
PhilippacopoulosAJ.1987.Wavesinapartiallysaturatedlayeredhalf-space,analyticalformulation[J].BullSeismSocAmer,77(5):908~923
YangJun.2000.Influenceofwatersaturationonhorizontalandverticalmotionataporoussoilinterfaceinducedbyinci-dentPwave[J].SoilDynamicsandEarthquakeEngineering,19:575~581
StollRD,KanTK.1991.Reflectionofacousticwaveatawater-sedimentinterface[J].JAcoustSocAm,70(1):149~156
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