横观各向同性饱和土体的实用波动方程

The Pragmatic Wave Equations of Transversely Isotropic Saturated Soils

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。

On the assumption that the skeleton and permeability are transversly isotropic and the grains are incompressible. The pragmatic wave equations of transversely isotropic saturated soils and the dispersion equations is derived. The results show that four body waves propagate with different speeds, one of which is SH wave, the others are SV wave, P 1 wave and P 2 wave only when these waves propagate horizontally or vertically. Finally, the curves of dispersion and attenuation are illustrated when the elastic waves propagate along horizontal, vertical plane and the plane with oriontation of 45° to horizontal.