马少坤, 陈彩洁, 段智博, 刘莹. 基于镜像法的有限含水层内隧道渗流场解析解及其验证[J]. 工程力学, 2023, 40(5): 172-181. DOI: 10.6052/j.issn.1000-4750.2021.10.0838
引用本文: 马少坤, 陈彩洁, 段智博, 刘莹. 基于镜像法的有限含水层内隧道渗流场解析解及其验证[J]. 工程力学, 2023, 40(5): 172-181. DOI: 10.6052/j.issn.1000-4750.2021.10.0838
MA Shao-kun, CHEN Cai-jie, DUAN Zhi-bo, LIU Ying. ANALYTICAL SOLUTION AND VERIFICATION ON SEEPAGE FIELD OF TUNNEL IN FINITE AQUIFER BASED ON IMAGE METHOD[J]. Engineering Mechanics, 2023, 40(5): 172-181. DOI: 10.6052/j.issn.1000-4750.2021.10.0838
Citation: MA Shao-kun, CHEN Cai-jie, DUAN Zhi-bo, LIU Ying. ANALYTICAL SOLUTION AND VERIFICATION ON SEEPAGE FIELD OF TUNNEL IN FINITE AQUIFER BASED ON IMAGE METHOD[J]. Engineering Mechanics, 2023, 40(5): 172-181. DOI: 10.6052/j.issn.1000-4750.2021.10.0838

基于镜像法的有限含水层内隧道渗流场解析解及其验证

ANALYTICAL SOLUTION AND VERIFICATION ON SEEPAGE FIELD OF TUNNEL IN FINITE AQUIFER BASED ON IMAGE METHOD

  • 摘要: 隧道外水压力和涌水量是水下隧道施工的重要参数。针对以往大多是基于半无限含水层模型求解隧道渗流场,只考虑了单一边界的影响,而对边界条件复杂的隧道渗流场求解存在局限性的问题。建立有限含水层内带衬砌隧道渗流模型;基于镜像法,将该模型转化为无限平面内直线多隧道渗流模型,推导了水头及涌水量解析公式,通过数值解对比及公式退化验算,验证了该解的准确性;基于此解,研究了含水层厚度h、隧道埋深比(d/R1)、注浆圈参数等对水头分布及隧道涌水量的影响。研究结果表明:任意位置的水头随含水层厚度的增大而增大,隧道越靠近不透水边界,隧道上、下方的水头差越大;隧道与不透水边界距离小于3倍隧道直径时,隧道埋深比对涌水量、衬砌外水头的影响显著,二者的值出现陡降;提高注浆圈抗渗性比增大注浆圈厚度更能降低隧道涌水量。研究成果可为有限含水层地区隧道渗流场预测提供一定理论依据。

     

    Abstract: The external water pressure and water inflow are the important parameters of underwater tunnel engineering. In view of the limitation of a semi-infinite aquifer model to analyze the tunnel seepage field with complex boundary conditions, which only considered the effect of a single boundary. A new seepage model of lined tunnel is firstly established, considering the finite aquifer. Based on the image method, the model is then transformed into a linear multi tunnel seepage model in infinite plane, and an analytical formula of water head and water inflow is deduced. The accuracy of the solution is verified by numerical solution and by the formula degradation. The influence of tunnel buried depth ratio (d/R1), grouting ring parameters on water head distribution and tunnel water inflow are analyzed. The results show that: The water head at any position increases as aquifer thickness increases. The closer the tunnel is to the impervious boundary, the greater the water head difference between the upper and lower of the tunnel. When the distance between the tunnel and the impervious boundary is less than 3 times the tunnel diameter, the buried depth ratio of the tunnel has a significant impact on the water inflow and the external head of the lining, and their values drop sharply. Improving the impermeability of grouting circle can reduce the water inflow of tunnel more than increasing the thickness of grouting circle. The research results can provide a theoretical basis for the prediction of tunnel seepage field in limited aquifer area.

     

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