<p>The slip of unstable structural plane and block dislocation in a rock mass can easily lead to overall instability and failure of the surrounding rock. To study the influence of the dominant joints on the stability of the surrounding rock, a model test was performed to obtain the failure mode and equivalent numerical model of a jointed rock tunnel. Based on the persistent changes in the topological characteristics of the rock surrounding the tunnel, a safety factor method to evaluate the stability of jointed rock tunnels is proposed. The accuracy of the method is verified by comparing with the joint safety factor method and strength reduction method. The analysis results show that the 0-dimensional Betti number (<i>β</i><sub>0</sub>) barcode and 1-dimensional Betti number (<i>β</i><sub>1</sub>) short barcode in the persistent homology theory can accurately reflect the relative motion of local blocks. The death value (<i>ε</i><sub>max</sub>) of the longest<i> β</i><sub>1</sub> code reflects the main change in the tunnel shape and can accurately identify the ultimate bearing capacity of the tunnel. The topological safety factor of the rock surrounding the tunnel is negatively correlated with the development of the plastic zone, which can accurately reflect the stability of the tunnel.</p>

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A safety assessment method for tunnel jointed surrounding rock based on persistent homology theory

  • Weiwei Liu,
  • Xia Yin,
  • Qiang Feng,
  • Dezheng Ren,
  • Qiang Zhang,
  • Hongbo Wang,
  • Tantan Zhu

摘要

The slip of unstable structural plane and block dislocation in a rock mass can easily lead to overall instability and failure of the surrounding rock. To study the influence of the dominant joints on the stability of the surrounding rock, a model test was performed to obtain the failure mode and equivalent numerical model of a jointed rock tunnel. Based on the persistent changes in the topological characteristics of the rock surrounding the tunnel, a safety factor method to evaluate the stability of jointed rock tunnels is proposed. The accuracy of the method is verified by comparing with the joint safety factor method and strength reduction method. The analysis results show that the 0-dimensional Betti number (β0) barcode and 1-dimensional Betti number (β1) short barcode in the persistent homology theory can accurately reflect the relative motion of local blocks. The death value (εmax) of the longest β1 code reflects the main change in the tunnel shape and can accurately identify the ultimate bearing capacity of the tunnel. The topological safety factor of the rock surrounding the tunnel is negatively correlated with the development of the plastic zone, which can accurately reflect the stability of the tunnel.