潘继良, 任奋华. 考虑渗流和剪胀的圆形巷道围岩广义SMP准则解[J]. 煤田地质与勘探, 2019, 47(5): 32-39. DOI: 10.3969/j.issn.1001-1986.2019.05.005
引用本文: 潘继良, 任奋华. 考虑渗流和剪胀的圆形巷道围岩广义SMP准则解[J]. 煤田地质与勘探, 2019, 47(5): 32-39. DOI: 10.3969/j.issn.1001-1986.2019.05.005
PAN Jiliang, REN Fenhua. Analytical solution for surrounding rock of circular roadway based on generalized SMP criterion considering seepage and dilatancy[J]. COAL GEOLOGY & EXPLORATION, 2019, 47(5): 32-39. DOI: 10.3969/j.issn.1001-1986.2019.05.005
Citation: PAN Jiliang, REN Fenhua. Analytical solution for surrounding rock of circular roadway based on generalized SMP criterion considering seepage and dilatancy[J]. COAL GEOLOGY & EXPLORATION, 2019, 47(5): 32-39. DOI: 10.3969/j.issn.1001-1986.2019.05.005

考虑渗流和剪胀的圆形巷道围岩广义SMP准则解

Analytical solution for surrounding rock of circular roadway based on generalized SMP criterion considering seepage and dilatancy

  • 摘要: 本文基于广义SMP准则,综合考虑中间主应力、孔隙水压力和围岩的剪胀特性,建立了巷道围岩的理想弹塑性模型。根据弹塑性理论,推导了渗流作用下的围岩应力场、位移场和塑性区半径的统一解析解。结合具体算例对SMP准则计算得到的围岩应力分布和塑性区半径与Mohr-Coulomb(M-C)准则进行了对比,并对孔隙水压力和围岩剪胀角等影响因素进行了分析。研究结果表明:SMP准则计算得到的塑性区半径小于M-C准则,说明M-C准则相较于SMP准则更为保守;孔隙水压力对巷道围岩的位移场具有很大的影响,表现为孔隙水压力越大,巷道洞壁附近围岩位移量越大,且围岩塑性区半径和弹塑性交界面处的峰值切向应力与孔隙水压力成正比;采用相关联流动法则会低估围岩的强度,不考虑剪胀则会低估围岩的实际变形。

     

    Abstract: Based on the generalized spatially mobilized plane(SMP) criterion, considering intermediate principal stress, pore water pressure and dilatancy characteristics of surrounding rock, an ideal elastic-plastic model of roadway surrounding rock is established. According to the elastic-plastic theory, the unified analytical solutions of stress field, displacement field and radius of plastic zone under seepage flow are obtained. Then, the stress distribution of surrounding rock and the radius of plastic zone calculated by SMP criterion are compared with those calculated by Mohr-Coulomb(M-C) criterion, and the influencing factors such as pore water pressure and dilatancy angle of surrounding rock are analyzed. It is shown that the radius of plastic zone based on the SMP criterion are smaller than that of the M-C criterion, and the calculation results of M-C criterion are more conservative than those of generalized SMP criterion. The pore water pressure has a great influence on the displacement field of the roadway surrounding rock. The increase of displacement near roadway wall is influenced by the larger pore water pressure. Meanwhile, the change of radius of plastic zone of surrounding rock and the peak tangential stress variations at elastic-plastic interface are proportional to the pore water pressure. The strength of the surrounding rock will be underestimated by using the correlation flow rule, and the actual deformation of the surrounding rock will be underestimated without considering the dilatancy.

     

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