联合InSAR和水准数据的矿区动态沉降规律分析

Analysis of law of kinematic mining subsidence by integrating In SAR and leveling measurements

针对传统矿区动态沉降测量中特征点缺失导致沉降规律不可靠问题,提出基于新型合成孔径雷达干涉测量(interferometric synthetic aperture radar,In SAR)与传统水准技术观测的矿区地表沉降值,使用Logistic时间函数和Levenberg-Marquard(LM)算法拟合分析矿区动态沉降规律以及其与地下开采的关系。研究结果表明:联合In SAR和水准测量沉降值拟合的动态沉降函数、加速度函数的均方差比仅利用水准的均方差分别提高89.0%和97.9%;Logistic时间函数能够较好地描述矿区地表单点的动态沉降过程,且各点的最大沉降速度和加速度极值发生时间与开采至该点的时间之间呈线性关系。

To reduce the unreliability of the law of kinematic mining subsidence derived from leveling measurements with temporal feature points loss, the integrated new interferometric synthetic aperture radar (InSAR) and traditional leveling measurements with Logistic time function and Levenberg-Marquard (LM) algorithm were proposed, and the law of kinematic mining subsidence and the relationship between the law and underground extraction were analyzed. The results show that the mean square errors (MSE) of fitted subsidence and acceleration using InSAR and leveling measurement are 89.0% and 97.9% higher, respectively, than that only using leveling observations with temporal feature points loss. Logistic model can fit the kinematic subsidence of a ground point greatly well, and there is linear relationship between the occuring time of the maximum velocity and acceleration extremum of fitted Logistic time function and that of advancing working panel under the observation point, respectively.