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基于Markov链的围岩稳定及支护结构失效模型研究

Study on failure mode of support structure and surrounding rock stability based Markov Chain

  • 摘要: 为研究巷道围岩稳定性对其支护结构的影响,运用Markov链分析了围岩的失稳过程,并分别建立了单条巷道和多条巷道的支护结构失效模型;在可靠性评价指标的基础上引入了无量纲系数,作为选择巷道支护方式的参考依据。在现场实测数据的基础上,运用所建模型对巷道围岩稳定性进行了分析。研究结果表明:多巷道系统可靠性研究可视为由若干单条巷道组成的串联系统,当无量纲系数大于1时,主动支护的可靠性量化指标均小于被动支护的量化指标;当该系数小于1时,反之;当该系数等于1时,主动支护和被动支护的可靠度指标相同。多巷道系统的可靠度指标均小于单条巷道的可靠度指标,无量纲系数的取值决定了支护形式对围岩稳定性的影响。

     

    Abstract: In order to study the influence of surrounding rock stability on supporting structure, the failure process of surrounding rock is analyzed by Markov chain. And the failure model of supporting structure of single roadway and several roadways is established respectively.On the basis of the reliability evaluation index, the dim ensionless coefficient is introduced as the reference for selecting the roadway support mode.Basis on the measured dates, the paper use the model to analysis the tunn el.The result shows that the roadway system can be regarded as a series system composed of several single roadway.Furthermore, the quantitative indicators in active support is more than that of passive support when the coefficient greater than 1.It will be contrary when the coefficient is less than 1.The quantitative indicators will be e qual when coefficient equal to 1.The reliability index of roadway system is less than that of single roadway, and the value of dimensionless coefficient determines the inf luence of supporting form on the stability of surrounding rock.

     

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