中文摘要：

从各向同性介质中的Biot纵波方程出发，在平面简谐波假设条件下，推导出快慢纵波相速度与衰减逆品质因子的解析式，分析了渗透率、黏滞系数、孔隙度等参数在垂直传播方向对纵波相速度及逆品质因子的影响规律并与相同条件下BISQ模型所描述的相关规律进行了比较。比较结果表明：在常规地震勘探频率范围内，BISQ模型的快纵波的逆品质因子随着频率的增加而增加，并且对黏滞系数变化敏感；Biot模型的慢纵波相速度随着频率的增加而有显著增加；BISQ模型慢纵波速度随渗透率的增加而有明显增加；BISQ和Biot模型慢纵波速度随着孔隙度增加而下降。

英文摘要：

Under the assumption of plane harmonic wave ,the fast and slow P- waves＇ analytic expressions of phase velocity and attenuation are deduced from the Biot P - waves e- quation in isotropic medium, analyzing the influential law of permeability, viscosity, porosity and other parameters in the vertical direction of wave propagation on phase velocity and inverse quality factor,and compar with BISQ model under the same conditions. The results show that in the routine frequency scale of seismic exploration, inverse quality factor of the fast P- wave increases with frequency＇s increasing and is sensitive to the changes of viscosity while in Blot model the phase velocity of slow P - wave increases significantly along with the increase of frequency; slow P - wave velocity in BISQ model increases significantly as the permeability increases; slow P- wave velocity of BISQ and Blot model decrease with increasing porosity.