注浆采区地表形变时空演化SMD-InSAR监测分析法

doi:10.11947/j.AGCS.2020.20190430

摘要/Abstract

摘要： 当前矿区合成孔径雷达差分干涉测量（D-InSAR）监测研究大多局限于以地表移动为对象，求取其他形变指标通常仍需野外测量。针对这一不足，构建出一种提取地表移动变形（surface movement and deformation，SMD）面域信息的模型——SMD模型。模型可求解的量有：①地表沿任意方向的倾斜、曲率，地表倾斜、曲率最大值与其所沿方向；②水平或近水平煤层开采下，矿区地表沿任意方向的水平移动、水平变形，地表水平移动、水平变形最大值和其所沿方向。SMD模型在垂直形变图的基础上，按照方向导数原理计算地表倾斜和曲率；地表水平移动和水平变形则根据开采沉陷先验规律计算。模拟试验显示，该模型可以较高精度获取地表移动变形值。淮北矿区某矿进行了充填开采，应用SMD模型结合时序InSAR分析该矿地表形变时空演化过程，以及充填开采的减沉减变效果，分析认为注浆活动可以有效控制地表形变。日平均注浆量、工作面推进距离与最大下沉速度之间的关系可以用多元线性回归模型来描述。SMD模型可用于分析区域地表形变综合情况，为范围评估开采沉陷对建构筑物的影响提供有力依据。

关键词: 地表移动变形, 合成孔径雷达干涉测量, 时间序列, 充填开采, 开采沉陷, 监测模型

Abstract: At present, the monitoring research of synthetic aperture radar differential interferometry (D-InSAR) in mining areas is mostly limited to taking surface movement as the object. Field measurement is usually needed to obtain other displacement deformation factors of the surface. In view of this deficiency, SMD model was constructed to map the regional surface movement and deformation(SMD). Here are the value scan besolved by SMD:①the inclination, curvature in arbitrary direction, the maximum value of inclination, curvature and its directions; ②horizontal movement and deformation of the surface in any direction in horizontal or near-horizontal coal mining, the maximum value of horizontal movement, horizontal deformation and its directions in horizontal or near-horizontal coal mining. The SMD model maps the inclination and curvature of the ground surface according to the directional derivative principle on the basis of the vertical deformation map. The horizontal movement and deformation of the surface are calculated according to the prior law of mining subsidence. The simulation experiment shows that the model can obtain the surface movement and deformation with high accuracy.SMD model combined with time-series InSAR technology was used to analyze the spatial-temporal evolution process of surface deformation and the subsidence and deformation reduction effect of grouting mining in Huaibei. The analysis showed that the grouting activity could effectively control the surface deformation. The relationship between the average grouting volume, the advancing distance of the working face and the maximum subsidence rate can be described by the multivariate linear regression model.SMD model can be used to analyze the comprehensive situation of regional surface deformation and provide a strong basis for the evaluation of the impact of mining subsidence regionally on construction.

Key words: ground movement and deformation, interferometric synthetic aperture radar, time-series, grouting mining, mining subsidence, monitoring model

中图分类号:

P237

姚树一, 张燕海, 杨可明, 石晓宇, 王剑. 注浆采区地表形变时空演化SMD-InSAR监测分析法[J]. 测绘学报, 2020, 49(7): 893-906.

YAO Shuyi, ZHANG Yanhai, YANG Keming, SHI Xiaoyu, WANG Jian. Spatial-temporal evolution of surface deformation in grouting mining area by SMD-InSAR monitoring-analysis method[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(7): 893-906.

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