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该文引入三维饱和场地轴对称情况时的势函数,通过傅里叶积分变换,给出了三维饱和半空间中作用一孔隙水压力时的动力格林函数。首先在作用孔隙水压力处引入一辅助面,然后通过自由表面的边界条件以及辅助面处的连续条件,得到势函数系数,利用位移应力与势函数关系即可得到三维饱和半空间任一点的响应,也即格林函数。对于地表透水情况,该文考虑了地表的完全透水和完全不透水两种透水条件,该文进行了大量计算,分析了激励频率和孔隙率对位移和孔隙水压力的影响。
In this paper, the potential function of axisymmetric three-dimensional saturated field is introduced, and the dynamic Green’s function when a pore water pressure acts in three-dimensional saturated half-space is given by Fourier integral transform. Firstly, an auxiliary surface is introduced into the pore water pressure, and then the potential function coefficient is obtained through the boundary condition of the free surface and the continuous condition at the auxiliary surface. By using the relationship between the displacement stress and the potential function, the response at any point in the three-dimensional saturated half-space can be obtained , That is, Green’s function. For the case of seepage on the ground, two kinds of seepage conditions, such as fully permeable and completely impermeable, are considered in this paper. In this paper, a large number of calculations are conducted and the effects of excitation frequency and porosity on displacement and pore water pressure are analyzed.