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    不同计算模型和边界条件下水下隧道非线性渗流场解析研究

    Analytical Study of Non-Linear Seepage Field in Underwater Tunnels with Different Computational Models and Boundary Conditions

    • 摘要: 计算模型和边界条件的合理确定对水下隧道非线性渗流场的准确求解至关重要.系统归纳了水下隧道不同计算模型和边界条件,并将隧道渗流计算边界条件划分为4种类型,建立了有限和半无限平面内含注浆圈和衬砌隧道的渗流模型.基于镜像法和Hansbo非线性渗流理论,推导了不同计算模型和边界条件下隧道非线性渗流场的解析解.通过与数值解及已有研究结果进行充分的对比分析,证明了解析解的准确性.进一步分析了不同边界条件和计算模型对隧道非线性渗流场的影响.研究结果表明:隧道涌水量和注浆圈外孔压受内边界水头、水位线高度、隧道埋深及非线性渗流参数等多种因素影响.基于半无限平面计算模型得到的涌水量和孔压较有限平面计算模型偏大,且内、外边界条件也会相互影响.当内边界水头较大时,外边界条件的变化对渗流场的影响更为显著,反之亦然.当内、外边界水头以相同幅度变化时,隧道涌水量计算结果保持不变.

       

      Abstract: The determination of computational models and boundary conditions is crucial for solving the non-linear seepage field of underwater tunnels.This paper systematically summarized different computational models and boundary conditions,classifying tunnel seepage boundaries into four types.We established tunnel seepage models with grouting and lining zones at both finite and semi-infinite aquifers.The analytical solutions were derived for the tunnel seepage field with different computational models and boundary conditions based on the mirror image method and Hansbo non-linear seepage theory.Comparisons with numerical solutions and previous research results validate the accuracy of our proposed method.Furthermore,the study analyzed the effects of different boundary conditions and computational models on the non-linear seepage field.It proves that multiple factors influence the water inflow and pore pressure,including the internal boundary head,water level,tunnel depth and non-linear seepage parameter.The semi-infinite aquifer model yields higher water inflow and pore pressure than the finite aquifer model.The internal and external boundary conditions also affect each other.The changes in the external boundary condition significantly impact the seepage field when the internal boundary head is larger,and vice versa.The water inflow remains unchanged when the water heads at the internal and external boundaries vary by the same magnitude.

       

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