Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation

The recovery of coseismic 3-dimensional (3D) surface deformation field plays a crucial role in studying seismic source characteristics and earthquake hazards. As of now, there are two main types of methods for recovering coseismic 3D surface deformations: the first type is to solve the problem direc...

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Main Authors: Xupeng Liu, Guangyu Xu, Mingkai Chen, Tengxu Zhang
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2025-01-01
Series:Geodesy and Geodynamics
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Online Access:http://www.sciencedirect.com/science/article/pii/S1674984724000636
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author Xupeng Liu
Guangyu Xu
Mingkai Chen
Tengxu Zhang
author_facet Xupeng Liu
Guangyu Xu
Mingkai Chen
Tengxu Zhang
author_sort Xupeng Liu
collection DOAJ
description The recovery of coseismic 3-dimensional (3D) surface deformation field plays a crucial role in studying seismic source characteristics and earthquake hazards. As of now, there are two main types of methods for recovering coseismic 3D surface deformations: the first type is to solve the problem directly by using the least squares method based on observations from three or more viewpoints, and the second type solves the problem by combining ascending and descending InSAR line-of-sight (LOS) observations with constraint models. The former type is mainly applicable to surface rupture earthquakes, because when an earthquake ruptures to the surface, we can usually obtain surface deformation observations from three or more views. The latter type applies to earthquakes that do not cause surface ruptures and have extensive blind faults. Currently, most research focuses on improving the above types of methods. However, some key factors in the coseismic 3D surface deformation inversion are rarely mentioned, such as the influence of window size on the inversion results in the strain model and variance component estimation method (SM-VCE), and whether the outliers in the observational data are considered. So, we developed a new chain of integrating InSAR observation and SM-VCE model to systematically assess the impacts of window size and outliers on coseismic 3D surface deformation inversions. Through simulation experiments, we observed that the selection of window size significantly impacts the accuracy of the results. Specifically, larger window sizes lead to wider residuals ranges in the fault region, resulting in the loss of extreme solution values when using a window of 15 × 15 pixels (i.e., 7.5 km × 7.5 km). Hence, we recommend utilizing windows with 7 × 7 pixels or 9 × 9 pixels for optimal accuracy, as larger window sizes diminish the significance of the outcomes. The elimination of points displaying different deformation directions helps reduce residuals and preserves near-field deformation results. Furthermore, the residuals along the 3D direction can be reduced by 10%–30% when a small set of points is selected using a method based on Euclidean distances. However, when 441 points were selected, the vertical residuals increased by 22% compared to 81 points. Integration of the SM-VCE algorithm with robust estimation techniques effectively minimizes far-field deformation errors in data, thereby marginally enhancing the near-field deformation solution.
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publisher KeAi Communications Co., Ltd.
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spelling doaj-art-c1a8d1b9815d41c681365b5bee77fe9c2025-01-13T04:18:35ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472025-01-011615566Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformationXupeng Liu0Guangyu Xu1Mingkai Chen2Tengxu Zhang3School of Surveying and Geoinformation Engineering, East China University of Technology, Nanchang 330013, ChinaSchool of Surveying and Geoinformation Engineering, East China University of Technology, Nanchang 330013, China; Key Laboratory of Mine Environmental Monitoring and Improving Around Poyang Lake of Ministry of Natural Resources, East China University of Technology, Nanchang 330013, China; Corresponding author. School of Surveying and Geoinformation Engineering, East China University of Technology, Nanchang 330013, China.School of Surveying and Geoinformation Engineering, East China University of Technology, Nanchang 330013, ChinaCollege of Resources and Environmental Science and Engineering, Hubei University of Science and Technology, Xianning 437100, ChinaThe recovery of coseismic 3-dimensional (3D) surface deformation field plays a crucial role in studying seismic source characteristics and earthquake hazards. As of now, there are two main types of methods for recovering coseismic 3D surface deformations: the first type is to solve the problem directly by using the least squares method based on observations from three or more viewpoints, and the second type solves the problem by combining ascending and descending InSAR line-of-sight (LOS) observations with constraint models. The former type is mainly applicable to surface rupture earthquakes, because when an earthquake ruptures to the surface, we can usually obtain surface deformation observations from three or more views. The latter type applies to earthquakes that do not cause surface ruptures and have extensive blind faults. Currently, most research focuses on improving the above types of methods. However, some key factors in the coseismic 3D surface deformation inversion are rarely mentioned, such as the influence of window size on the inversion results in the strain model and variance component estimation method (SM-VCE), and whether the outliers in the observational data are considered. So, we developed a new chain of integrating InSAR observation and SM-VCE model to systematically assess the impacts of window size and outliers on coseismic 3D surface deformation inversions. Through simulation experiments, we observed that the selection of window size significantly impacts the accuracy of the results. Specifically, larger window sizes lead to wider residuals ranges in the fault region, resulting in the loss of extreme solution values when using a window of 15 × 15 pixels (i.e., 7.5 km × 7.5 km). Hence, we recommend utilizing windows with 7 × 7 pixels or 9 × 9 pixels for optimal accuracy, as larger window sizes diminish the significance of the outcomes. The elimination of points displaying different deformation directions helps reduce residuals and preserves near-field deformation results. Furthermore, the residuals along the 3D direction can be reduced by 10%–30% when a small set of points is selected using a method based on Euclidean distances. However, when 441 points were selected, the vertical residuals increased by 22% compared to 81 points. Integration of the SM-VCE algorithm with robust estimation techniques effectively minimizes far-field deformation errors in data, thereby marginally enhancing the near-field deformation solution.http://www.sciencedirect.com/science/article/pii/S1674984724000636InSAR3D surface deformationWindow sizeRobust estimation
spellingShingle Xupeng Liu
Guangyu Xu
Mingkai Chen
Tengxu Zhang
Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation
Geodesy and Geodynamics
InSAR
3D surface deformation
Window size
Robust estimation
title Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation
title_full Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation
title_fullStr Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation
title_full_unstemmed Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation
title_short Factors influencing the effectiveness of SM-VCE method in solving 3D surface deformation
title_sort factors influencing the effectiveness of sm vce method in solving 3d surface deformation
topic InSAR
3D surface deformation
Window size
Robust estimation
url http://www.sciencedirect.com/science/article/pii/S1674984724000636
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