An analytical solution to soil consolidation around a pile considering earthquake effect

In this paper, an analytical solution is developed to investigate soil consolidation around a pile under earthquake loading. The solution is validated using finite element method. The influence of various parameters on excess pore water pressure is analyzed. The results show that excess pore water pressure increases with depth and is positively correlated with n and N-eq/N-1, while negatively correlated with eta, chi, k(v), and t(d). The values of eta, chi, k(v), N-eq/N-1, and t(d) affect excess pore water pressure during and after the earthquake, while the value of n only affects excess pore water pressure after the earthquake. The growth rate of excess pore water pressure during the earthquake is positively correlated with n, eta, k(v), and N-eq/N-1, and negatively correlated with chi and t(d). The dissipation rate of excess pore water pressure during the earthquake is positively correlated with eta, chi, k(v), N-eq/N-1, and t(d), and negatively correlated with n. Additionally, a formula for calculating the reconsolidation settlement of pile-soil foundation after an earthquake is proposed, and the effects of pile and soil parameters on pile-soil foundation reconsolidation settlement are analyzed. The results indicate that reconsolidation settlement can be divided into two stages: rapid settlement stage and slow settlement stage. The total settlement of the foundation is positively correlated with n, eta, and N-eq/N-1, while negatively correlated with chi, k(v), and t(d).