本文采用上覆弹性层饱和地基土模型描述水位于地表以下的地基动力响应问题，利用改变弹性层厚度模拟土体中水位的变化。基于Biot饱和多孔介质动力方程和层间连续性条件，求解出上覆弹性层饱和半空间频域波数内位移场表达式，通过Fourier逆变换得到三维空间域的结果，研究了水位变化对于土体动力响应的影响。数值计算结果表明：水位的变化会对地基中波的传播产生一定影响。当水位离地面较深时，地面竖向位移值与弹性半空间情况类似；随着水位上升，弹性层和饱和半空间界面上的反射波会对地面竖向位移产生影响，导致地表位移值较弹性半空间下的结果有所增大，当水位接近地表时，位移值变化类似于饱和地基土。
Abstract
The saturated foundation soil model of the overlying elastic layer is used to describe the dynamic response of the foundation with water below the surface, and the change of the water level in the soil is simulated by changing the thickness of the elastic layer. Based on the Biot saturated porous media dynamic equation and the interlayer continuity condition, the displacement field expression in the overlying elastic layer is solved in the saturated half-space frequency domain wavenumber, and the results in the three-dimensional space domain are obtained by Fourier inverse transformation. The results of numerical examples show that the change of water level will significantly affect the wave propagation in the foundation. When the water level is deep from the ground, the vertical displacement of the ground is close to that of the elastic half space. Then, as the water level increases, the reflected waves on the interface between the elastic layer and the saturated half space will affect the vertical displacement of the ground, and the surface displacement will gradually decrease until the water level is close to the ground, and the displacement change is close to that of the saturated soil foundation.
关键词
水位变化 /
饱和土 /
移动荷载 /
动力响应
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Key words
Water table change /
Saturated soil /
Moving load /
Dynamic
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参考文献
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