摘要
本文对双相介质与流体介质平面分层情况下的 Stonely 波作了理论分析和计算。导出了关于 Stonely 波复波数的频散方程,在低频城内对此频散方程进行了数值求解,得到频散曲线和衰减曲线及偏振特性。结果表明:(1) 低频域内存在轻微的负频散;(2) 具有强衰减性,衰减系数与频率、孔隙度和渗透系数间存在敏感的增函数关系;(3) 固相质点的偏振特性与均匀弹性固体自由界面上的瑞利波的偏振有某些类似之处;(4) 流体半空间内压力波的振幅随深度单调衰减。
Theoretical analysis and calculation are carried out on Stonely Wave in the interface of two-phase medium and fluid medium.The dispersion equation of complex wave number of Stonely Wave was derived from above.The dispersion equation was solved by numerical method at low frequency domain,and the dispersion curve,attenuation curve,polarization property are obtained.The result shows:1) There is a slight negative dispersion in low frequency domain;2) There is a heavy attenuation property and there exist sensitive relationships of increase function between attenuation constant and frequency,porosity,osmotic coefficient;3) The polarization property of material point of solid phase has some similarities with the polarization of Rayleigh Wave in free surface of uniform elastic solid;4) The amplitude of pressure wave in semi-space of fluid attenuates with depth all the time.
关键词
双相介质
位移场
偏振特性
频散
two-phase medium
displacement field
dispersion
attenuation
polarization property
