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<p>When conducting simulations of jointed rock mass tunnels, the conventional Numerical Manifold Method (NMM) relies on contact algorithms entailing intricate contact detection and open-close iteration processes, thereby leading to restricted computational efficiency. To overcome this constraint, this study puts forward a Joint Element-based Numerical Manifold Method (JE-NMM), which aims to improve the existing situation. The method replaces traditional contact algorithms with joint elements characterized by cohesive constitutive models and incorporates a Newton–Raphson iterative convergence strategy, thus establishing a static analysis framework that is suitable for initially closed joint systems. Results from numerical benchmark tests demonstrate that the new method attains approximately 20-fold higher computational efficiency compared to the classical NMM while preserving a high degree of consistency with the results of physical model test results in stability analysis of jointed tunnel. Findings from engineering application studies show that a locally optimized support scheme, by precisely identifying instability zones, can achieve reinforcement effects comparable to full-face bolting while significantly decreasing the number of bolts used. This approach effectively overcomes the efficiency-related constraints imposed by traditional contact algorithms, providing a novel numerical tool for stability analysis and support optimization in jointed rock tunnels.</p>

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Numerical manifold method with joint elements for jointed tunnel stability analysis

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • Keqin Zhang,
  • Wei Wu,
  • Yu Wang,
  • Baosheng Dong,
  • Lianyang Zhang,
  • Hehua Zhu

摘要

When conducting simulations of jointed rock mass tunnels, the conventional Numerical Manifold Method (NMM) relies on contact algorithms entailing intricate contact detection and open-close iteration processes, thereby leading to restricted computational efficiency. To overcome this constraint, this study puts forward a Joint Element-based Numerical Manifold Method (JE-NMM), which aims to improve the existing situation. The method replaces traditional contact algorithms with joint elements characterized by cohesive constitutive models and incorporates a Newton–Raphson iterative convergence strategy, thus establishing a static analysis framework that is suitable for initially closed joint systems. Results from numerical benchmark tests demonstrate that the new method attains approximately 20-fold higher computational efficiency compared to the classical NMM while preserving a high degree of consistency with the results of physical model test results in stability analysis of jointed tunnel. Findings from engineering application studies show that a locally optimized support scheme, by precisely identifying instability zones, can achieve reinforcement effects comparable to full-face bolting while significantly decreasing the number of bolts used. This approach effectively overcomes the efficiency-related constraints imposed by traditional contact algorithms, providing a novel numerical tool for stability analysis and support optimization in jointed rock tunnels.