基于复变函数保角变换的方法，在一定假设的前提下，推导了隧道周边为等水压、等水头及洞周为等水头(设注浆圈情况下)渗流量的解析解。运用所推导的渗流量计算公式，重点分析了渗流量与h/2r和渗流量与注浆圈厚度的关系。

Based on the conformal mapping of the complex variable methods, analytical solutions for water inflow into an underwater tunnel are derived for a constant hydraulic head, constant water pressure and constant hydraulic head as well as grouting ring boundary condition at the tunnel perimeter. According to the proposed formula, relation between water inflow and h/2r, as well as grouting ring thickness, some valuable conclusions are proposed.

皇甫明（1974－），男，内蒙古化德县人，博士，高级工程师，主要从事隧道与地下工程的施工管理与研究工作