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矿区地表形变监测的 SBAS InSAR 和 Logistic 函数集成方法。

Monitoring of surface deformation in mining area integrating SBAS InSAR and Logistic Function.

机构信息

College of Geodesy and Geomatics, Shandong University of Science and Technology, 579 Qianwangang Road, Qingdao, 266590, NO, China.

Demonstration Center for Experimental Surveying and Mapping Education, Shandong University of Science and Technology, Qingdao, China.

出版信息

Environ Monit Assess. 2023 Nov 18;195(12):1493. doi: 10.1007/s10661-023-12095-8.

Abstract

SBAS InSAR has long been used to monitor the mining surface deformation, and its research has been of great interest to researchers worldwide. For the unsatisfactory accuracy of SBAS InSAR-monitored mining surface deformation results, a new corrected model is proposed by integrating SBAS InSAR and Logistic Function. Firstly, the time series deformation results of the mining area were obtained by SBAS InSAR, and the variation law of the differences between SBAS InSAR- and leveling-monitored deformation values was statistically analyzed. Subsequently, the corrected model was constructed using the logistic linear regression analysis function and solved using the Levenberg-Marquardt algorithm. Finally, the corrected high-precision time series deformation results in the mining area were obtained. A mining area in Shandong Province of China was taken as the research object, and the practical application effect of the proposed corrected model was verified. Results showed that the Logistic Function could describe the variation law of the differences relatively accurately, and the corrected results were significantly better than the SBAS InSAR-monitored results, and the RMSEs of the corrected results were improved by 33-58%. The accuracy of SBAS InSAR-monitored mining surface deformation was effectively improved.

摘要

SBAS InSAR 长期以来一直被用于监测采矿地表变形,其研究引起了全球研究人员的极大兴趣。由于 SBAS InSAR 监测的采矿地表变形结果的精度不理想,因此通过整合 SBAS InSAR 和 Logistic 函数提出了一种新的校正模型。首先,通过 SBAS InSAR 获得矿区的时间序列变形结果,并对 SBAS InSAR 和水准监测的变形值之间的差异进行统计分析。随后,使用逻辑线性回归分析函数构建校正模型,并使用 Levenberg-Marquardt 算法求解。最后,得到了矿区的校正高精度时间序列变形结果。以中国山东省的一个矿区为研究对象,验证了所提出的校正模型的实际应用效果。结果表明,Logistic 函数可以相对准确地描述差异的变化规律,校正结果明显优于 SBAS InSAR 监测结果,校正结果的 RMSE 提高了 33-58%。有效地提高了 SBAS InSAR 监测的采矿地表变形的精度。

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