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| Percolation model of stress redistribution under excavation |
| XUE Dongjie1,2,3,ZHANG Zepeng1,ZHOU Hongwei2,CAO Zhiguo3,WANG Lujun3,WANG Junguang4,LU Lele1,ZHAO Aibo1,LIU Kuichang1 |
| (1. School of Mechanics and Civil Engineering,China University of Mining and Technology,Beijing 100083,China;2. School of Energy and Mining Engineering,China University of Mining and Technology,Beijing 100083,China;3. State Key Laboratory of Water Resource Protection and Utilization in Coal Mining,National Institute of Low Carbon and Clean Energy,Beijing 102211,China;4. School of Mechanics and Engineering,Liaoning Technical University,Fuxin,Liaoning 123000,China) |
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Abstract The theoretical solution of excavation-induced stress redistribution is the mechanical cornerstone of safe mining and stability maintenance of surrounding rock in deep. Based on a comprehensive review of mechanical models of stress redistribution,it is found that the advantages and disadvantages of theoretical solutions based on elastoplastic model coexist. The advantage is that the universality of the built mechanical element strictly guarantees the rigor of the theoretical solutions,and the disadvantage is that the continuity definition of the mechanical element hinders the obtainment of the discontinuous solution of excavation-induced stresses. Although the introduction of probability models may provide a new idea for solving the mining-induced stress redistribution,the solution by simply introducing the probability model cannot guarantee the uniqueness due to the mapping problem. By comparing and verifying the stress redistributions respectively considering three probability models of Weibull function,Gumbel function and Gamma function,it is found that an unavoidable deviation between the probability model-based solutions and the measured values,which is caused by the non-uniqueness of the probability models. Finally,taking the connectivity probability density of fracture field as a bridge and introducing percolation theory into the parallel bar model,a concise percolation solution of mining-induced stress redistribution is obtained. Comparisons between the measured results of several mining areas and the predicted values of the percolation model verify that the proposed percolation model is reliable and simple in form.
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LI Botao1, 2, 3, TAN Yuxuan1, LIN Haifei4, 5*, WEI Jianping1, 2, 3, ZHANG Hongtu1, 2, 3, LI Shugang4, 5, WEI Zongyong4, 5, WANG Pei4, LUO Rongwei4, LIU Yanwei1, 2, 3. Mechanical properties and mesoscopic damage evolution of coal under liquid-nitrogen freezing at different initial temperatures[J]. , 2026, 45(6): 1757-1772. |
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