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金属矿山 ›› 2017, Vol. 46 ›› Issue (10): 16-22.

• 国际矿山测量学术论坛专栏 • 上一篇    下一篇

开采沉陷动态精准预计的时效Knothe函数方法研究

魏涛,王磊,池深深,李楠,吕挑   

  1. 安徽理工大学测绘学院,安徽 淮南 232001
  • 出版日期:2017-10-15 发布日期:2017-10-15
  • 基金资助:

    国家自然基金项目(编号:41602357、41474026),安徽省博士后基金项目(编号:2014B019),安徽高校自然科学研究项目(编号:KJ2016A190),安徽理工大学2017年研究生创新基金项目(编号:2017CX2057)。

Research on Dynamic Precise Prediction Method of Mining Subsidence Based on Aged Knothe Function

Wei Tao,Wang Lei,Chi Shenshen,Li Nan,Lu Tiao   

  1. School of Geomatics,Anhui University of Science and Technology,Huainan 232001,China
  • Online:2017-10-15 Published:2017-10-15

摘要: 针对当前开采沉陷动态预计不精准问题,综合利用实测分析和理论研究方法,提出了基于时效Knothe函数的开采沉陷动态精准预计方法,主要取得如下成果:①Knothe时间函数的参数C值在开采过程中呈现近似正态分布,采动结束后C值呈负指数衰减直至趋于定值;②预测时效Knothe函数C值的实验结果表明:就整体性预测而言,AR模型的整体性最好,传统的GM(1,1)模型误差较大,3次指数平滑法的预测结果出现粗差;就单期预测而言,传统的GM(1,1)模型和AR模型对C值的预测存在不稳定性,3次指数平滑法各期预测值误差均小,较稳定。研究成果对研究开采沉陷动态精准预计具有参考意义。

关键词: 时间参数, 时间序列, 灰色系统, 动态更新

Abstract: Aiming at the problem of inaccurate prediction of current mining subsidence,the dynamic precision prediction method of mining subsidence based on aging Knothe function with methods of measurement analysis and theoretical research is put forward.The main achievements obtained are as following:①The values of parameter C are negative exponential decay,and finally tend to a certain value after the end of the mining.②The experimental results of the prediction of the Knothe function C value showed that:In terms of holistic prediction,the integrity of the AR model is the best,while the traditional GM (1,1) model has a large error,and the prediction results of the cubic exponential smoothing method are gross errors.In the case of single-stage prediction,the predictions of C with the traditional GM (1,1) model and the AR model are unstable,and the errors of the three-order exponential smoothing method are all small and stable.The research results are of reference significance to the dynamic precise prediction of mining subsidence.

Key words: Time parameter, Time series, Grey system, Dynamic updating