• 论文
主办单位:煤炭科学研究总院有限公司、中国煤炭学会学术期刊工作委员会
基于优化时间函数的采动地表任意点沉陷动态预计
  • Title

    Dynamic prediction of mining-induced subsidence for any surface point based on optimized time function

  • 作者

    张兵赵玉玲崔希民袁德宝李春意

  • Author

    ZHANG Bing ZHAO Yuling CUI Ximin YUAN Debao LI Chunyi

  • 单位

    石家庄学院资源与环境科学学院,中国矿业大学(北京)地球科学与测绘工程学院,河北工程大学矿业与测绘工程学院邯郸市自然资源空间信息重点实验室,河南理工大学测绘与国土信息工程学院

  • Organization
    School of Resource and Environmental Science, Shijjazhuang University College of Geoscience and Surveying
    Engineering,China University of Mining & Technology-Bejing School of Mining and Geomatics,Hebei University of
    Engineering Handan Key Laboratory of Natural Resources Spatial Information School of Surveying and Landing
    Information Engineering,Henan Polytechnic University
  • 摘要

    针对常用Knothe时间函数在动态预计中理论研究方面存在不足及在地表下沉初始阶段预计精度较低等问题,为了能够全面地了解矿区地表沉陷动态发展变化过程,掌握地表各重要点位的动态变形规律,提高动态预计精度和动态预计的针对性,发挥动态预计在指导矿山工程实践中的应有作用,基于概率积分模型,采用优化分段Knothe时间函数,构建了可预测地表任意点动态沉降变形的计算模型,并开发了计算程序,所建模型各参数意义明确,求取方便,同时,矿区地表监测点即使布设在非主断面上,也可根据实测数据利用模型反算概率积分参数。实例1表明:在考虑拐点偏移距的情况下,预测的地表下沉盆地两拐点的下沉值基本等于盆地最大下沉量的1/2,与理论揭示完全吻合;通过对不同时刻地表点的下沉和倾斜进行动态预计,清楚地说明了地表下沉盆地和倾斜变形的动态发展过程;另外,通过倾斜三维图及其二维等值线图的变化过程可知,下沉盆地平底部分的倾斜值尽管最终为0,但也是经历了从小到大、再从大到小、最后趋于0的剧烈变化过程,如果只进行稳定后的静态预计则反映不了这一动态过程;实例2表明:通过对比分析1176东工作面各采动期的地表监测点实测与动态预计结果,并抽样进行精度分析可知,动态预计相对中误差最小为5.6%,最大为14.2%。经统计预测相对中误差可稳定在8%左右,证明了模型预测精度是可靠性的。



  • Abstract
    Aiming at the theoretical deficiency of Knothe time function in dynamic prediction and the low prediction accuracy in the initial stage of surface subsidenc e,in order to fully understand the dynamic development and change process of surface subsidence in mining areas,master the dynamic deformation law of all important points on the surface improve the precision and pertinence of dynamic prediction,and give play to the role of dynamic prediction in guiding mine engineering practice,ba sed on the probability integral model,a calculation model and calculation program for predicting the dynamic subsidence and deformation for any point on the surface is established by using the optimized segmented Knothe time function. The parameters of the model have clear meaning and are easy to be got. At the same time,even w hen the surface monitoring points on the work face are arranged on the non-main section,the probability integral parameters can also be calculated by using the model according to the measured data. The first prediction example shows that the subsidence value of the two inflexion points of the subsidence basin is equal to 1/2 of the maximum subsidence value when the inflexion offset is taken into account,which is completely consistent with the theoretical disclosure. The dynamic development proc ess of surface subsidence basin and tilt deformation is clearly ilustrated by the dynamic prediction of surface subsidence and tilt at different time points. In addition,acc ording to the change process of the tilt 3 D map and its 2 D map,although the tilt value of the flat bottom part of the sunken basin is finally 0,it also goes through a drast ic change process from small to large,from large to small,and finally to 0. If only the static prediction after stability is carried out,this dynamic process cannot be reflecte d. The second prediction example shows that by comparing and analyzing the measured and dynamic predicted results of the surface monitoring points in each period 0 f the east No.1176 working face, and analyzing the sampling accuracy,it can be known that the minimum relative MSE is 5.6%,and the maximum is 14. 2% , according to st atistics,the relative MSE of prediction can be stable at about 8% ,which proves the reliability of the prediction accuracy of the model.
  • 关键词

    ​地表任意点下沉盆地开采沉陷动态预计

  • KeyWords

    any point on surface; subsidence basin; mining subsidence; dynamic prediction;

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