Analytical study on dynamic response of saturated soil around vertical vibrating foundation pile

A coupled pile-saturated soil model is considered to investigate the response of saturated soil under three-dimensional axisymmetric conditions based on Biot's theory of saturated porous media. Combined with the pile-soil coupling vibration boundary conditions, an analytical solution in the frequency domain for the saturated soil and the resulting pore water pressure is derived. This is achieved through the introduction of potential functions and the application of operator decomposition and separation of variables methods. The derived solutions are compared with existing dynamic response results for elastic soil surrounding a vibrating pile. The wave propagation mechanism in fully saturated soil is investigated based on the analytical solution which has been verified. The analysis reveals the presence of fast longitudinal waves (P1 waves) and shear waves (S waves), as evidenced by three-dimensional position-time-response plots. Further parameter analysis under varying operational conditions elucidates the fluctuation response characteristics of the saturated soil around the pile. The findings provide valuable insights and have significant implications for engineering practice.