Karst Aquifer Water Inflow into Tunnels: An Analytical Solution

Abstract

This study gives two new analytical solutions to the tunnel by high-pressure water in the cavern. Firstly, it deals with the analytical solution for the seepage inflow in unsupported karst aquifer tunnels considering the boundary condition. Secondly, it focuses on the study of the seepage force and gives the reduction coefficient of lining water pressure. A comparison of the analytical solution and the finite element software shows a curve relationship as the relevant permeability coefficient $\beta$ increases. The results show that the analytical solution and numerical solution are consistent. As $d$ increases, $\beta$ decreases gradually. $\beta$ increases as $r_w$ increases or the grouting circle and initial support become thinner or the secondary lining becomes thicker. In summary, the analytical solution of $\beta$ can be used to predict the seepage inflow and the seepage force of the actual engineering.