为解决深埋高水压隧道预注浆加固设计中难以量化考虑帷幕“抗渗+承载”双重作用的理论难题，基于非达西渗流条件，建立考虑注浆帷幕的流固耦合弹塑性力学模型，推导围岩特征曲线（ground reaction curve，GRC）与塑性区半径的解析解，采用有限元模拟对计算结果进行验证，并进一步讨论注浆加固参数对GRC演化规律及塑性区半径的影响。结果表明： 1）增大注浆帷幕厚度与降低帷幕渗透系数，可明显降低隧道涌水量，非达西效应对渗流防控效果具有显著削弱作用。2）与卡斯特纳解相比，有、无渗流2种情况下预注浆使弹塑性分界点的围岩内缘径向位移大幅减小。3）随着注浆帷幕厚度增大，注浆抗渗加固效率降低，因此应避免注浆帷幕设计过厚，造成浪费，其经济加固厚度阈值约为1.5倍开挖半径。4）剪切模量增大使弹塑性分界点的围岩内缘径向位移减小，GRC弹性段围岩刚度增强；注浆体黏聚力与内摩擦角增加导致维持围岩弹性所需的支护力大幅降低； 开挖半径增大将加剧围岩变形并提高支护需求； 剪胀角主要影响塑性阶段变形。

The dual effects of seepage control and load bearing of the grouting curtains in pregrouting reinforcements of deep tunnels are difficult to quantify under high water-pressure conditions. To address this theoretical challenge, a fluid-solid coupled elastoplastic model incorporating grouting curtains under non-Darcy flow conditions is constructed. The analytical solutions for the ground reaction curve (GRC) and plastic-zone radius are then derived and validated through finite-element simulations. Finally, the influence of the grouting parameters on GRC evolution is systematically investigated. The results demonstrate the following: (1) Increasing grouting curtain thickness and reducing its permeability coefficient notably decrease tunnel water inflow, while non-Darcy effects substantially compromise seepage control efficiency. (2) Compared with Kastner’s solution, pregrouting dramatically reduces the radial displacement of surrounding rock at the elastoplastic interface under seepage and non-seepage conditions. (3) The anti-seepage efficiency decreases with increasing curtain thickness, suggesting an economic threshold of ~1.5 times the tunnel radius to avoid overdesign. (4) Increasing the shear modulus reduces elastoplastic boundary displacement and increases rock stiffness in the GRC elastic segment. Increasing the cohesion and internal friction angle dramatically decreases the required support pressure to maintain an elastic state. (5) A larger excavation radius intensifies deformation and support demand, while the shear angle primarily governs plastic deformation.