The theoretical and numerical solutions for the one-dimensional dynamic deformation of saturated ground were obtained using the u–w–p governing equation. The numerical analysis was performed based on the finite element method, and the occurrence of superficially peculiar phenomena, i.e., S-shaped settlement–time relation, non-harmonic oscillation in the settlement/pressure–time relation in highly permeable soil, and inconsistency in the vertical load and immediate pressure was identified heuristically. The theoretical solution of the damped wave equation was derived from the original governing equation expressed as the superposition of several modes with different eigenvalues, and this solution could successfully explain the phenomena observed heuristically. It was noted that the phenomena were induced by the presence of inertia, because the static solution and u–p analysis did not exhibit such phenomena. The verification of the analysis was conducted owing to the correspondence of the theoretical solutions of the damped wave equation and the u–w–p analysis results.

利用u – w – p获得了饱和地基一维动态变形的理论和数值解。控制方程。数值分析是基于有限元方法进行的，并且出现了表面上特有的现象，即S形沉降-时间关系，高渗透性土壤中沉降/压力-时间关系中的非谐波振荡，以及不均匀性。启发式地确定垂直载荷和即时压力。阻尼波方程的理论解是从原始的控制方程导出的，该控制方程表示为具有不同特征值的多个模式的叠加，该解可以成功地解释启发式观察到的现象。需要指出的是，这种现象是由惯性的存在引起的，因为静态解和u – p分析没有表现出这种现象。由于阻尼波方程的理论解与u – w – p分析结果相对应，因此进行了分析验证。