考虑土拱效应的双线矩形隧道地表沉降预测多拱解析模型

    Multi-arch analytical model for ground settlement prediction of double-track rectangular tunnel considering soil arching effect

    • 摘要: 双线矩形隧道施工中,土拱效应对隧道间相互作用及地层扰动机制的影响复杂且机理不明,制约了地表沉降预测的精度。为此,提出一种考虑土拱效应的双线矩形隧道地表沉降解析预测新方法。该方法首先构建了包含弹性拱与隧道间摩擦拱的“多拱模型”,并推导了其应力演化方程;其次,基于复变函数改进Loganathan公式,建立了适用于双线矩形隧道工况的地表沉降预测模型。最后,通过建立不同深距比(H/S)的有限元模型,以及宁波#3线案例对所提方法的预测结果与Peck公式进行了对比验证。研究发现,地表沉降槽形态与隧道埋深与净间距之比(H/SS为隧道净距)密切相关:当H/S≤1/3或H/S>2时呈“V”形;当1/3<H/S≤1时呈“W”形;当1<H/S≤2时呈“U”形。验证结果表明,与Peck公式相比,所提方法能更准确地预测不同工况下的地表沉降,与实际监测数据大致吻合,尤其能反映土拱效应的影响,可为城市双线矩形隧道设计与施工提供理论参考。

       

      Abstract: During the construction of double-track rectangular tunnel, the soil arching effect exerts a complex influence on the inter-tunnel soil interaction and ground disturbance mechanisms, which significantly restricts the accurate prediction of ground settlement. To address this issue, this study proposes a novel analytical method for predicting ground settlement of double-track rectangular tunnel, with explicit consideration of the soil arching effect. Firstly, a "multi-arch model" comprising an elastic arch and an inter-tunnel friction arch is established, and its corresponding stress evolution equation is derived. Secondly, a predictive model for ground settlement is developed by modifying the Loganathan formula using the theory of complex functions. Finally, the proposed method is validated by comparing its predictions with results from finite element models under various ratios of embedment depth to clear spacing (H/S), as well as with predictions from Peck's formula and field data from a case study of the Ningbo Metro Line 3. The results reveal that the shape of the ground settlement trough is intimately correlated with the H/S ratio: it exhibits a "V" shape when H/S≤1/3 or H/S>2, a "W" shape when 1/3<H/S≤1, and a "U" shape when 1<H/S≤2. The verification demonstrates that, in comparison with Peck's formula, the proposed method yields more accurate predictions across diverse scenarios, shows good agreement with field monitoring data, and is particularly effective in capturing the influence of the soil arching effect. This research can provide valuable theoretical references for the design and construction of urban double-track rectangular tunnel.

       

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