The groundwater inflow into the tunnel will cause various adverse effects on the tunnel and a proper estimation of the groundwater inflow is of great significance for tunnel drainage system design. In this paper, a semi-analytical solution, which considers the anisotropic permeability of the soil mass, is developed to assess the steady-state groundwater inflow into the tunnel. The solution is developed based on the coordinate transformation and conformal mapping technique. The present solution only requires once conformal mapping and has the advantage of effectively avoiding the distortion of the ground surface during conformal mapping. Two typical boundary conditions on the tunnel surface, the zero water pressure and the constant total water head, both of which are commonly encountered in tunneling engineering, are considered in the present solution. The proposed solution is validated by comparing with the results extracted from a finite element model, which shows that the present solution is capable of predicting the total water head and the pressure head around the tunnel, and the inflow rate along the tunnel surface with sufficient accuracy. Extensive parametric studies are conducted to investigate the effects of permeability ratio, depth of the tunnel centre from the ground surface, and water depths above the ground on the groundwater inflow. The results show that the anisotropy of the permeability has a significant effect on the inflow rate along the tunnel surface under the two boundary conditions. The proposed solution not only provides an efficient approach for assessing the groundwater into the tunnel, but also can serve as a benchmark for calibration of numerical simulations.

地下水流入隧道会对隧道产生各种不利影响，正确估算地下水流入量对隧道排水系统设计具有重要意义。在本文中，开发了一种考虑土体各向异性渗透性的半解析解，以评估进入隧道的稳态地下水流入量。该解决方案是基于坐标变换和共形映射技术开发的。本方案只需要进行一次保形映射，具有有效避免保形映射时地表变形的优点。隧道表面的两种典型边界条件，零水压和恒定总水头，这两者都是隧道工程中经常遇到的，在本解决方案中考虑。通过与从有限元模型中提取的结果进行比较验证了所提出的解决方案，表明该解决方案能够以足够的精度预测隧道周围的总水头和压力水头，以及沿隧道表面的入流量. 进行了广泛的参数研究，以研究渗透率、隧道中心距地表的深度和地面以上的水深对地下水流入的影响。结果表明，在两种边界条件下，渗透率的各向异性对沿隧道表面的入流量有显着影响。所提出的解决方案不仅提供了一种评估进入隧道的地下水的有效方法，