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假定饱和土体土骨架及渗透系数具有横观各向同性，土颗粒不可压缩，建立了横观各向同性饱和土体实用波动方程，推导出横观各向同性饱和土体平面简谐波的波速弥散方程，结果显示横观各向同性饱和土体存在四个体波，其中一个为ＳＨ波，其余三个当波沿水平面或垂直水平面传播时，才分别是ＳＶ波、Ｐ１波和Ｐ２波。最后，用数值方法分析了ＳＨ波、ＳＶ波、Ｐ１波和Ｐ２波沿水平面和垂直面传播时的波速弥散曲线与特征衰减曲线，以及各个弹性波沿与水平面成４５°方向传播时的波速弥散曲线。
Assuming that the soil skeleton and permeability coefficient of saturated soil are transversely isotropic and the soil particles are incompressible, a practical wave equation of transversely isotropic saturated soils is established, and the plane harmonic of transversely isotropic saturated soils is deduced The results show that there are four body waves in transversely isotropic saturated soil, one of them is SH wave, and the other three are SV wave, P1 wave and P2 wave respectively when the wave propagates along the horizontal plane or the vertical plane. Finally, the wave velocity dispersion curves and characteristic attenuation curves of SH, SV, P1 and P2 waves propagating along the horizontal and vertical planes are analyzed numerically. And the wave velocity dispersion of each elastic wave propagates in the direction of 45 ° with the horizontal plane curve.