高应力巷道帮部让压空窗优化设计理论与数值模拟研究

Theoretical and Numerical Simulation Study on the Optimal Design of Pressure-Relief Windows in the Ribs of High-Stress Roadways

  • 摘要: 为有效控制深部高应力巷道的两帮大变形,本研究提出在巷帮钢筋网中预设“让压空窗”的技术方案。基于Mohr-Coulomb准则与连续介质力学理论,建立了巷道帮部应力分布的解析模型,推导出垂直应力沿高度的指数增长规律。通过构建包含应力扰动函数与多目标优化函数的理论模型,从理论上证明了空窗布置于巷帮中部的优越性。FLAC3D三维数值模拟验证了理论分析,发现存在约0.5 m的临界尺寸:小于该值时,空窗与围岩形成稳定承载结构;超过后则中心区域转为拉应力主导。0.9 m空窗的卸压效果最显著,应力降低24.27%,但会引发围岩失稳。优化分析表明,将空窗布置于巷帮中部可实现顶、底板角隅应力的协同控制,有效避免“跷跷板”效应。为高应力巷道支护设计提供了重要的理论依据。

     

    Abstract: To effectively control the large deformations in the ribs of deep high-stress roadways, this study proposes a technical scheme of embedding pressure-relief windows within the rib steel mesh. Based on the Mohr-Coulomb criterion and continuum mechanics theory, an analytical model for the stress distribution in the roadway rib was established, deriving an exponential growth pattern of vertical stress along the rib height. By constructing a theoretical model incorporating a stress perturbation function and a multi-objective optimization function, the superiority of positioning the window at the mid-height of the rib was theoretically demonstrated. Three-dimensional numerical simulations using FLAC3D validated the theoretical analysis, revealing a critical window size of approximately 0.5 m. When the size is below this threshold, the window and surrounding rock form a stable load-bearing structure; exceeding it causes the central region of the window to become dominated by tensile stress. While a window size of 0.9 m provides the most significant pressure-relief effect with a stress reduction of 24.27%, it also induces surrounding rock instability. Optimization analysis indicates that positioning the window at the mid-height of the rib enables synergistic control of stress concentrations at the roof and floor corners, effectively avoiding the seesaw effect in stress redistribution. This study provides an important theo-retical basis for the support design of high-stress roadways.

     

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