双线非对称平行海底隧道非线性渗流场解析研究

ANALYTICAL SOLUTIONS ON NON-DARCY SEEPAGE OF SUBSEA TWIN-PARALLEL ASYMMETRIC TUNNELS

  • 摘要: 注浆圈和衬砌作为低渗透介质,在低水力梯度下其渗流模式会偏离达西定律,服从非达西渗流模式。该文基于镜像法和渗流力学理论,假定注浆圈与衬砌处于Hansbo非线性渗流模型,推导出海底双线非对称平行隧道渗流场的解析解,该解析解可以同时考虑线性渗流和非线性渗流。通过退化验证,工程案例对比验证,以及与COMSOL数值模拟进行对比分析,证明了该文方法的可行性。并对双线隧道的间距,相对大小,注浆圈和衬砌的非线性参数m、临界水力梯度il、厚度比值t1等参数对涌水量以及孔压的影响进行了分析。结果表明:隧道间距的减小,隧道大小比值R的减小,都会使隧道的涌水量降低;注浆圈非线性参数的增加会使注浆圈更加致密,降低隧道的涌水量,对衬砌起到更好的保护作用。注浆圈与衬砌厚度的比值t1的增加,同样可以降低隧道的涌水量,使注浆圈承受更大的孔压。

     

    Abstract: The grouting and lining zones, as low permeability media, deviate from Darcy’s law to non-Darcy’s law under low hydraulic gradients. Based on the mirror image method and the theory of seepage mechanics, this paper assumes that the grouting and lining zones follow the Hansbo non-Darcy seepage model. Analytical solutions for the seepage field in subsea twin-parallel asymmetric tunnels are derived, considering both linear and nonlinear seepage simultaneously. The proposed method is validated through degeneration verification, comparative analysis with engineering cases, and comparison with numerical simulations. In addition, an analysis is conducted on the effects of parameters such as tunnel spacing, relative size, nonlinear parameters (m) of grouting and lining zones, critical hydraulic gradient (il), and thickness ratio (t1) on the water inflow and pore pressure of tunnels. Results indicate that the decreases of tunnel spacing and relative size (R) both lead to a decrease in water inflow. The increase of the nonlinear parameters of grouting zone makes the grouting zone denser, reducing water inflow and providing better protection for the lining. Similarly, increasing the ratio of grouting zone to lining zone thickness (t1) can also reduce water inflow, enabling the grouting zone to withstand greater pore pressure.

     

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