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冯俊军, 王恩元, 沈荣喜, 李学龙, 朱亚飞, 景林波. 基于克里金插值法的煤体应力场分布规律研究[J]. 煤炭科学技术, 2013, (2).
引用本文: 冯俊军, 王恩元, 沈荣喜, 李学龙, 朱亚飞, 景林波. 基于克里金插值法的煤体应力场分布规律研究[J]. 煤炭科学技术, 2013, (2).
Study on Coal Body Stress Distribution Based on Kriging Interpolation Method[J]. COAL SCIENCE AND TECHNOLOGY, 2013, (2).
Citation: Study on Coal Body Stress Distribution Based on Kriging Interpolation Method[J]. COAL SCIENCE AND TECHNOLOGY, 2013, (2).

基于克里金插值法的煤体应力场分布规律研究

Study on Coal Body Stress Distribution Based on Kriging Interpolation Method

  • 摘要: 为解决应力监测系统监测分析煤体应力场时测点数量较少、插值准确度较低等问题,采用克里金插值法对试验工作面应力监测数据进行变异函数模型拟合和交叉验证,研究在测点数量较少的情况下不同变异函数模型的插值效果。结果表明:在煤体应力场中采用球状模型的克里金插值法的准确性高于其他插值方法,其插值残差的优化均值小于0.2 MPa,并得到工作面回风巷和运输巷内煤体应力监测系统的测点间距应分别小于7.95和9.92 m。采用克里金插值法得到的应力云图能够反映试验工作面巷帮煤体应力场分布规律,为巷道超前支护、顶板稳定性控制、围岩稳定性分析、冲击地压预防等提供理论依据。

     

    Abstract: In order to solve small number of the measuring points applied when the seam stress field was analyzed with the stress monitoring and measuring syste m, the low accuracy of the interpolation and other problems, the Kriging interpolation method was applied to the fitting and cross validation of the variation function mod el on the stress monitored and measured data of the trial coal mining face and study the interpolation effect of different variation function model under the small measuri ng point number.The results showed that the accuracy of the Kriging interpolation method with the spherical model in the seam stress field was higher than other interp olation methods, the optimized mean value of the interpolation residual would be less than 0.2 MPa and the measuring point interval of the seam stress monitoring and measuring system in the air returning gateway and the transportation gateway of the coal mining face was less than 7.95 and 9.92 m individually as obtained.The stress nephogram obtained with the Kriging interpolation method could reflect the distribution law of the seam stress filed in the sidewalls of the trial coal miming face gateway and could provide the theoretical references to the advance support of the gateway, the stability control of the roof, the stability analysis on the surrounding rock, preve ntion of the mine pressure bumping and others.

     

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