• 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
基于沉陷对称特征的近水平煤层开采InSAR三维位移反演模型
  • Title

    A 3-D inversion model for InSAR detected displacements based on ground subsidence symmetry induced by horizontal coal mining

  • 作者

    汤伏全董龙凯王宗良黄景偲

  • Author

    TANG Fuquan,DONG Longkai,WANG Zongliang,HUANG Jingcai

  • 单位

    西安科技大学测绘科学与技术学院

  • Organization
    College of Geomatics,Xi’an University of Science and Technology,Xi’an  710054,China
  • 摘要
    利用合成孔径雷达干涉测量(InSAR)技术进行煤矿开采沉陷监测时,所获得的雷达视线方向(LOS)位移是地表点垂直向、南北向、东西向三维位移的矢量叠加。将LOS向位移分解为地表下沉及沿工作面走向和倾向水平位移,是研究开采沉陷规律和获取地表移动参数的基础。目前,基于 InSAR LOS位移反演开采沉陷三维位移的主要方法有:利用不同轨道卫星的三幅SAR影像建立LOS位移方程组来求解三维位移分量;根据开采沉陷预计模型将地表水平位移视为下沉的关联函数,由单幅SAR影像来解算下沉及水平位移;或者直接忽略水平位移的影响,将 LOS向位移投影为下沉分量。本文在分析上述方法局限性的基础上,根据近水平煤层开采地表下沉和水平位移关于移动盆地主断面对称的基本特征,建立地表移动盆地对称点上多期InSAR LOS向叠加位移的几何方程组,并对该方程组进行叠加和差分处理,导出LOS向位移反演开采沉陷三维位移的函数模型。在工作面推进过程中,由于地表移动具有滞后性,使得动态沉陷盆地中心偏向开切眼一侧,本文依据移动盆地中央地表下沉达到最大且水平位移趋近为零的特征,基于相邻像元LOS向位移进行叠加和差分,自动搜索出地表移动盆地的动态中心位置,从而实现工作面推进过程中地表动态三维位移的分解。基于Matlab平台对上述三维位移反演模型进行了算法实现,并利用多期InSAR 实测数据进行了模型验证,其下沉和水平位移反演结果与实测资料较为一致,明显优于忽略水平位移而直接分解地表下沉的方法。上述模型能够用于近水平煤层开采地表移动稳定后和动态移动过程中InSAR监测的三维位移分解,具有较好的普适性。
  • Abstract
    When using synthetic aperture radar interferometry ( InSAR) technology to monitor coal mining sub-si- dence,the displacement of radar line of sight ( LOS) obtained is the vector superposition of three-dimensional displacement of surface points in vertical,north-south,east-west directions. Decomposing the LOS displacement into the surface subsidence and the horizontal displacement along the strike and incline of the working face is the basis for studying the law of mining subsidence and obtaining the parameters of surface movement. At present,the main method of inverting mining subsidence three-dimensional displacement based on InSAR LOS displacement is using three SAR images of different orbiting satellites to establish LOS displacement equations for solving three-dimensional displace- ment components. According to the prediction model of mining subsidence,the horizontal displacement of surface is re- garded as the correlation function of subsidence,and the subsidence and horizontal displacement are calculated from a single SAR image. The LOS displacement is projected into the sub-sidence component through directly ignoring the in- fluence of horizontal displacement. Based on the analysis of the limitations of the above methods and the basic charac- teristics of the surface subsidence and horizontal displacement of the near-horizontal coal seam mining on the main sec- tion of the mobile basin,the geometric equations of the multi-period InSAR LOS superposition displacement on the symmetry point of the surface moving basin was established. The equations are superimposed and differentially pro- cessed to derive the function model for LOS displacement inversion three-dimensional mining displacement. During the advancement of the working surface,because of the hysteresis of the surface movement,the center of the dynamic sub- sidence basin deviates to the side of the open hole. According to the characteristics of the central surface subsidence of the moving basin reaching the maximum and the horizontal displacement approaching zero,the dynamic center position of the surface moving basin is automatically searched based on the superposition and difference of the LOS displace- ment of adjacent pixels. Thereby,the decomposition of the dynamic three-dimensional displacement of the surface dur- ing the advancement of the working surface is realized. In this paper,the above three-dimensional displacement inver- sion model is implemented based on the platform of Matlab,and the model was validated by multi-phase InSAR data. The inversion results of subsidence and horizontal displacement are in a good agreement with the measured data,which is obviously superior to the method of directly decomposing surface subsidence without considering horizontal displace- ment. This model can be used to decompose the three-dimensional displacement monitored by InSAR in the process of surface movement stability and dynamic movement in near-horizontal coal seam mining.
  • 关键词

    InSAR形变监测开采沉陷对称性三维位移反演

  • KeyWords

    InSAR;deformation monitoring;mining subsidence;symmetry;three-dimensional displacements inversion

  • DOI
  • Citation
    TANG Fuquan,DONG Longkai,WANG Zongliang,et al. A 3 -D inversion model for InSAR detected displacements based on ground subsidence symmetry induced by horizontal coal mining[ J]. Journal of China Coal Society,2019,44 (1):210-220.
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