Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine

To systematically and thoroughly analyze the sensitivity and reliability of the MSBAS regularization for the estimation of surface deformation over a mine in combination with an application example, this study processed 101 Sentinel-1A/B SAR images, constructed and solved the 2D deformation models u...

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Main Authors: Qiuxiang Tao, Zekun Zheng, Min Zhai, Shihao Zhang, Leyin Hu, Tongwen Liu
Format: Article
Language:English
Published: Taylor & Francis Group 2024-01-01
Series:Geocarto International
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Online Access:https://www.tandfonline.com/doi/10.1080/10106049.2024.2329669
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author Qiuxiang Tao
Zekun Zheng
Min Zhai
Shihao Zhang
Leyin Hu
Tongwen Liu
author_facet Qiuxiang Tao
Zekun Zheng
Min Zhai
Shihao Zhang
Leyin Hu
Tongwen Liu
author_sort Qiuxiang Tao
collection DOAJ
description To systematically and thoroughly analyze the sensitivity and reliability of the MSBAS regularization for the estimation of surface deformation over a mine in combination with an application example, this study processed 101 Sentinel-1A/B SAR images, constructed and solved the 2D deformation models using SVD and Tikhonov regularization methods with different orders and parameters, and estimated the vertical and east-west surface deformation time series in a mine of China. Then, this study collected the leveling-monitoring vertical surface deformation data on three leveling points, and compared and analyzed the sensitivity and reliability of the MSBAS regularization methods for estimating vertical surface deformation. The results indicate that different regularization orders and parameters can lead to thousands of times differences in condition numbers and significant differences in ill-posed degree of the deformation models. The zero-order Tikhonov regularized deformation model with regularization parameter of 0.1 has the minimum condition number and the equation is not ill-posed. The first-order Tikhonov regularized deformation model with regularization parameter of 0.001 has the maximum condition number and the equation is seriously ill-posed. As a result, the estimates of 2D surface deformation models with different parameters and orders are also different in terms of numerical values and accuracy. Compared with the leveling-monitoring data, the first- and second-order MSBAS regularization methods with parameter 0.1 have the minimum fluctuation and the maximum correlation coefficients between the estimated values and the leveling-monitoring values, and are also closest to the leveling-monitoring results with the highest accuracy.
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spelling doaj-art-b070fa3835624c09b0d9896eac803c2f2025-08-20T01:59:21ZengTaylor & Francis GroupGeocarto International1010-60491752-07622024-01-0139110.1080/10106049.2024.2329669Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mineQiuxiang Tao0Zekun Zheng1Min Zhai2Shihao Zhang3Leyin Hu4Tongwen Liu5College of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao, ChinaCollege of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao, ChinaCollege of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao, ChinaCollege of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao, ChinaMapping department, Beijing Earthquake Agency, Beijing, ChinaMapping department, Shandong Institute of Geological Surveying and Mapping, Jinan, ChinaTo systematically and thoroughly analyze the sensitivity and reliability of the MSBAS regularization for the estimation of surface deformation over a mine in combination with an application example, this study processed 101 Sentinel-1A/B SAR images, constructed and solved the 2D deformation models using SVD and Tikhonov regularization methods with different orders and parameters, and estimated the vertical and east-west surface deformation time series in a mine of China. Then, this study collected the leveling-monitoring vertical surface deformation data on three leveling points, and compared and analyzed the sensitivity and reliability of the MSBAS regularization methods for estimating vertical surface deformation. The results indicate that different regularization orders and parameters can lead to thousands of times differences in condition numbers and significant differences in ill-posed degree of the deformation models. The zero-order Tikhonov regularized deformation model with regularization parameter of 0.1 has the minimum condition number and the equation is not ill-posed. The first-order Tikhonov regularized deformation model with regularization parameter of 0.001 has the maximum condition number and the equation is seriously ill-posed. As a result, the estimates of 2D surface deformation models with different parameters and orders are also different in terms of numerical values and accuracy. Compared with the leveling-monitoring data, the first- and second-order MSBAS regularization methods with parameter 0.1 have the minimum fluctuation and the maximum correlation coefficients between the estimated values and the leveling-monitoring values, and are also closest to the leveling-monitoring results with the highest accuracy.https://www.tandfonline.com/doi/10.1080/10106049.2024.2329669MSBAS InSARTikhonov regularizationminesurface deformation
spellingShingle Qiuxiang Tao
Zekun Zheng
Min Zhai
Shihao Zhang
Leyin Hu
Tongwen Liu
Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine
Geocarto International
MSBAS InSAR
Tikhonov regularization
mine
surface deformation
title Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine
title_full Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine
title_fullStr Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine
title_full_unstemmed Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine
title_short Sensitivity and reliability analysis to MSBAS regularization for the estimation of surface deformation over a mine
title_sort sensitivity and reliability analysis to msbas regularization for the estimation of surface deformation over a mine
topic MSBAS InSAR
Tikhonov regularization
mine
surface deformation
url https://www.tandfonline.com/doi/10.1080/10106049.2024.2329669
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