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 increases. The results show that the analytical solution and numerical solution are consistent. As increases, decreases gradually. increases as increases or the grouting circle and initial support become thinner or the secondary lining becomes thicker. In summary, the analytical solution of can be used to predict the seepage inflow and the seepage force of the actual engineering.

中文翻译：

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岩溶含水层入隧道的水：一种分析解决方案

这项研究为洞室中的高压水提供了两种新的隧道解析方法。首先，针对边界条件，研究了无支撑岩溶含水层隧道渗流的解析解。其次，重点研究了渗流力，给出了衬砌水压力的减小系数。分析解决方案与有限元软件的比较显示出，随着相关渗透系数的增加，曲线关系变大。结果表明，解析解与数值解是一致的。随着增加，逐渐减少。随着增加增加或注浆圈和初始支撑变薄或次要衬层变厚。总之，的解析解可用于预测实际工程的渗流和渗流力。