双浅埋平行泄压隧洞瞬态渗流场解析研究

    Analytical solutions for transient seepage fields of twin shallow-buried parallel relief tunnels

    • 摘要: 渗流对隧道设计、施工及运营均有重要影响,隧洞在开挖时会引起瞬态渗流场,其与周围泄压隧洞的渗流场会相互耦合影响。针对双浅埋平行泄压隧道瞬态渗流耦合机制,建立了二维平面应变解析模型。当单一浅埋圆形隧洞存在时,运用保角变换将其二维渗流平面转换为圆环区域,再综合运用叠加法及分离变量法求得了单一隧洞的瞬态渗流场。在此基础上,采用Schwarz迭代法构建双隧道瞬态渗流场迭代算法,通过边界条件动态耦合与时空离散化处理,实现双隧道渗流场的时域叠加解析。该解析结果与数值模拟及已有文献数据的对比验证了其正确性和适用性。本解析模型为复杂地质条件下隧道群渗流相互作用机理研究提供了理论基础,对深部地下工程渗流安全评估与优化设计具有指导意义。

       

      Abstract: Seepage critically influences the design, construction and operational safety of tunnels. Their excavation induces transient seepage fields that mutually interact with those of adjacent pressure relief tunnels. To address the transient seepage coupling mechanism of twin shallow buried parallel tunnels, a two-dimensional plane strain analytical model is developed. For a single shallow circular tunnel, the semi-infinite seepage domain is mapped to an annular region by using the conformal transformation, and the transient seepage fields are derived by integrating the superposition principle and variable separation method. Subsequently, the Schwarz iteration method is employed to construct the iterative algorithm for dual tunnel transient seepage coupling, achieving temporal superposition through dynamic boundary coupling and spatiotemporal discretization. The validations against numerical simulations and published data confirm the accuracy and computational efficiency of the solution. This analytical framework provides a theoretical basis for deciphering the transient seepage interactions in tunnel clusters under complex geological conditions, offering critical insights for seepage risk mitigation in deep underground engineering.

       

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