A New Method for Determining the Safety Distance Between Irregular Karst Cave and Circumferential Shield Tunnel

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-10-21 DOI:10.1002/nag.3869

Yanhuan Zhang, Shangqu Sun, Jing Wang, Liping Li, Zizheng Sun, Diyang Chen, Yanqing Men

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Abstract

When a shield tunnel passes through a karst area, the water‐filled cave can easily make the surrounding rock metamorphic, resulting in water inrush, ground collapse, and shield machine failure and other engineering hazards. Natural cavities have a significant degree of geometric irregularity due to groundwater alteration and soluble rock erosion. Considering the difficulties in describing the shape of a natural irregular cavity, circular, rectangular, and elliptical geometries have been simplified in most related studies. Based on the upper bound theorem of limit analysis, we established a three‐dimensional failure model including the karst caves located directly above and below the circumferential side of the tunnel. Then, we deduced the corresponding analytical solution of the critical safety distance (CSD). Furthermore, the effects of rock mass parameters, cave parameters, and geometric parameters on the CSD were analyzed. Then we designed the numerical simulation considering the irregular geometry shape at the circumferential side of tunnel using the Fourier descriptors. In addition, we estimated the CSDs for two failure models using the revised dichotomy and failure criterion. The findings demonstrated a quantifiable association between CSD and Fourier descriptors of irregular cave shape, resulting in the development of a CSD prediction model. These test results can provide a theoretical foundation and direction for predicting water inrush caused by the constrained irregular cave.

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确定不规则岩溶洞穴与环形盾构隧道安全距离的新方法

当盾构隧道穿越岩溶地区时，充水的溶洞很容易使周围岩石变质，造成涌水、地面塌陷、盾构机故障等工程危害。由于地下水的改变和可溶性岩石的侵蚀，天然溶洞具有很大程度的几何不规则性。考虑到描述天然不规则空洞形状的困难，大多数相关研究都简化了圆形、矩形和椭圆形的几何形状。根据极限分析的上界定理，我们建立了一个三维破坏模型，其中包括位于隧道圆周侧正上方和正下方的岩溶洞穴。然后，我们推导出了临界安全距离（CSD）的相应解析解。此外，我们还分析了岩体参数、溶洞参数和几何参数对 CSD 的影响。然后，我们利用傅立叶描述符设计了考虑隧道圆周侧不规则几何形状的数值模拟。此外，我们还使用修订后的二分法和破坏标准估算了两种破坏模型的 CSD。结果表明，CSD 与不规则洞穴形状的傅立叶描述符之间存在可量化的关联，并由此建立了 CSD 预测模型。这些测试结果为预测受约束不规则溶洞引起的涌水提供了理论基础和方向。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.