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流体饱和度对Rayleigh波传播影响研究
引用本文:赵海波,陈树民,李来林,吴清岭.流体饱和度对Rayleigh波传播影响研究[J].中国科学:物理学 力学 天文学,2012(2):148-155.
作者姓名:赵海波  陈树民  李来林  吴清岭
作者单位:大庆油田有限责任公司勘探开发研究院,大庆163712
基金项目:国家重点基础研究发展计划资助项目(编号:2009CB219300)
摘    要:基于三相孔隙弹性介质理论,本文推导出两种不相混的、黏性的、可压缩的流体饱和孔隙介质Rayleigh波控制方程解析解.该Rayleigh波沿着孔隙介质自由的、可渗透的表面传播.Rayleigh波频散方程解析表达式为三次多项式方程.求解频散方程的结果表明,该种介质存在三种类型的Rayleigh波(分别标记为R1,R2和R3).在一定的频率范围内(1Hz-1 MHz),本文数值研究了含水饱和度对三种Rayleigh波传播特性的影响.数值结果显示,孔隙介质的含水饱和程度对三种面波的传播速度和衰减有明显影响.三种面波在传播方向(x方向)和垂直于传播方向(z方向)上均存在振幅衰减.R1波传播速度最快,R3波居中,R2波最慢.R1波传播中衰减最小,R2和R3波次之,且R2和R3波随含水饱和度和频率的变化趋势基本相同.

关 键 词:未饱和孔隙介质  Rayleigh波  速度  衰减

Influence of fluid saturation on Rayleigh wave propagation
ZHAO HaiBo *,CHEN ShuMin,LI LaiLin & WU QingLing.Influence of fluid saturation on Rayleigh wave propagation[J].Scientia Sinica Pysica,Mechanica & Astronomica,2012(2):148-155.
Authors:ZHAO HaiBo *  CHEN ShuMin  LI LaiLin & WU QingLing
Institution:Exploration and Development Research Institute,Daqing Oilfield Co.Ltd,Daqing 163712,China
Abstract:Based on the existing three-phase poroelastic theory,an analytical solution for Rayleigh wave propagation along the traction free,permeable surface of an elastic porous medium,saturated by two immiscible,viscous,compressible fluids,is derived.The analytical expression of the dispersion equation of Rayleigh wave is found to be a cubic polynomial.Through solving the dispersion equation,it is concluded that three different types of Rayleigh wave exist in such medium to be denoted as R1,R2 and R3,respectively.The influences of water saturation on these Rayleigh waves are numerically studied with varying frequencies from 1 Hz to 1 MHz.The results show that water content has significant effects on the velocities and attenuation of the three waves.The amplitudes of the three waves decay in both x- and z- directions,which are parallel to and perpendicular to the propagation direction of the waves,respectively.The R1 wave travels fastest,and the R3 and R2 waves have the second greatest and smallest phase velocities,respectively.The R1 wave is least attenuated,followed by the R2 and R3 waves.The attenuation coefficients of the R2 and R3 waves versus water saturation and excitation frequency have the similar variation trend.
Keywords:unsaturated porous media  Rayleigh wave  velocity  attenuation
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