Understanding the distribution of pore pressure and predicting water inflow are critical in tunnel engineering. In this study, the numerical solutions obtained by ABAQUS are compared with the theoretical solutions derived using the complex variable method (CVM). This comparison clarifies the influence of assuming a constant total hydraulic head along the interface between the grouted zone and soil on the theoretical solutions of pore pressure and water inflow calculated by the CVM. Results show that assuming a constant total hydraulic head can cause the negative and positive deviations with approximately equal areas in the total hydraulic head regardless of the permeability of the grouted zone and soil. Consequently, the theoretical solution invariably approaches the numerical solution for water inflow even when the deviation of the total hydraulic head is considerable. Relative permeability, $k_r/k_g$ (where k_g and k_r represent the permeability coefficient of the grouted zone and soil, respectively), has a significant influence on the deviation of pore pressure. When the relative permeability is large, the pore pressure deviation is acceptable. As the relative permeability increases or the water depth (h_w) decreases, the total hydraulic head and pore pressure deviations decrease gradually.

了解孔隙压力的分布和预测进水量在隧道工程中至关重要。在本研究中，将 ABAQUS 获得的数值解与使用复变量法 (CVM) 获得的理论解进行了比较。该比较阐明了假设沿灌浆区和土壤之间界面的总水头恒定对 CVM 计算的孔隙压力和进水量的理论解的影响。结果表明，无论灌浆区和土壤的渗透性如何，假设恒定的总水头会导致总水头中大致相等面积的负偏差和正偏差。最后，即使总水头的偏差相当大，理论解也总是接近进水的数值解。相对磁导率，$k_r/k_G$（其中k _g和k _r分别表示灌浆区和土体的渗透系数），对孔隙压力的偏差有显着影响。当相对渗透率较大时，孔隙压力偏差是可以接受的。随着相对渗透率的增加或水深（h _w）的减小，总水头和孔隙压力偏差逐渐减小。