梯度非均匀非饱和土中体波传播特性研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (9) : 112-122.

论文

梯度非均匀非饱和土中体波传播特性研究

王濛1，马强1,2

作者信息 +

Propagation characteristics of body wave in gradient heterogeneous unsaturated soil

WANG Meng1, MA Qiang1, 2

Author information +

文章历史 +

摘要

基于非饱和多孔介质中波的传播理论，根据Helmholtz矢量分解原理，考虑非饱和土介质的非均匀性，假设土介质物理力学特性沿深度方向按幂函数变化，采用回传射线矩阵法，建立了梯度非均匀非饱和土中体波波动问题的弥散方程。研究了梯度因子即土体非均匀性对非饱和土中体波传播特性的影响规律。结果表明：P1，P2波和S波的波速随着梯度因子的增大而显著增大，而P3波的波速受梯度因子的影响较小；P2波和P3波的衰减系数随梯度因子的增大而减小，而P1波和S波的衰减系数仅在高频时随着梯度因子的增大而明显增大。P2波和P3波的波速随频率的增大而明显增大，P1波和S波的波速仅在高频时随频率的增大缓慢增大；P2波和P3波的衰减系数随着频率的增大而非线性增大，而P1波和S波的衰减系数仅在高频时随频率的增大而增大。非饱和土体的非均匀性对体波的波速和衰减系数均有显著影响，随着深度的增大，土体非均匀性对波速和衰减系数的影响逐渐减小。

Abstract

Based on the propagation theory of waves in unsaturated porous media, using the Helmholtz vector decomposition principle, considering the inhomogeneity of unsaturated soil media and assuming that the physical and mechanical properties of soil media vary according to a power function along the depth direction, using the return ray matrix method, a diffusion equations for body wave fluctuation problems in gradient inhomogeneous unsaturated soils is obtained by using . The effect of gradient factor, that is, soil inhomogeneity, on the propagation characteristics of bulk waves in unsaturated soil is studied. The results show that the wave velocities of the P1, P2 and S waves increase significantly with the increase of the gradient factor, while the wave velocity of the P3 wave is less affected by the gradient factor; the attenuation coefficients of the P2 and P3 waves decreases with the increase of the gradient factor. However, the attenuation coefficient of P1 wave and S wave only increases significantly with the increase of gradient factor at high frequency. The wave velocity of P2 wave and P3 wave increases significantly with the increase of frequency, the wave velocity of P1 wave and S wave only increases slowly with the increase of frequency at high frequency; the attenuation coefficient of P2 wave and P3 wave increases with the increase of frequency The attenuation coefficient of P1 wave and S wave increases with the increase of frequency only at high frequency. The inhomogeneity of unsaturated soil has a significant effect on the wave velocity and attenuation coefficient of body waves. With the increase of depth, the influence of soil inhomogeneity on the wave velocity and attenuation coefficient gradually decreases.

导出引用

王濛1，马强1,2. 梯度非均匀非饱和土中体波传播特性研究[J]. 振动与冲击, 2023, 42(9): 112-122

WANG Meng1, MA Qiang1, 2. Propagation characteristics of body wave in gradient heterogeneous unsaturated soil[J]. Journal of Vibration and Shock, 2023, 42(9): 112-122

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