Study on Three-Dimensional Deformation Inversion in Mining Areas Based on PIM Optimized by CMA-ES and Multi-Source InSAR.

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Title: Study on Three-Dimensional Deformation Inversion in Mining Areas Based on PIM Optimized by CMA-ES and Multi-Source InSAR.
Authors: Ma, Fei1,2 (AUTHOR), Yu, Kangjie2,3 (AUTHOR), Zhang, Jianmei1,2,3 (AUTHOR) 11994068@czc.edu.cn, Zhang, Jinran4 (AUTHOR), Lian, Wei1,2,5 (AUTHOR), Zhang, Qingbin5,6 (AUTHOR), Zhao, Zhixing1,5 (AUTHOR), Zhang, Haijun2,6 (AUTHOR)
Source: Remote Sensing. Jun2026, Vol. 18 Issue 11, p1839. 28p.
Subjects: Multisensor data fusion, Evolutionary algorithms, Safety, Mining districts, Mathematical models, Deformations (Mechanics)
Abstract: Highlights: What are the main findings? A novel zonal fusion strategy, guided by the InSAR detectable gradient, seamlessly integrates InSAR and the PIM to reconstruct a complete line-of-sight deformation field, overcoming limitations like decorrelation in high-strain areas. The proposed framework achieves superior 3D monitoring accuracy. Validation at the Yinying Mining Area shows an over 86% reduction in mean absolute error for 3D displacements at basin edges compared to the standalone PIM, capturing both large subsidence and subtle deformations. What are the implications of the main findings? The fusion methodology provides a reliable and generalizable solution for reconstructing complete deformation fields in challenging environments like mining areas, where single-technique approaches are often inadequate. The enhanced accuracy in capturing full-field 3D displacements offers significant practical value for improved hazard assessment, infrastructure protection, and informed decision-making in mining and other geohazard-related industries. Accurate monitoring of mining-induced three-dimensional surface deformation is critical for safety and environmental protection. Conventional InSAR often loses coherence in high-deformation areas and provides only one-dimensional measurements, while the Probability Integral Model (PIM) suffers from low accuracy at subsidence edges, caused by premature numerical convergence of its error-function-based mathematical formulation—the model prediction rapidly drops to zero and fails to capture subtle real-world deformations in marginal zones. This study developed a fusion method integrating multi-source InSAR (Sentinel-1A and SAOCOM), PIM, and the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). Applied in the Yinying Mining Area, Shanxi Province, the approach combined ascending and descending SAR data processed via SBAS-InSAR, used CMA-ES to optimize PIM parameter inversion, and employed a zonal fusion strategy to reconstruct complete deformation fields. The method demonstrated substantial improvement in monitoring accuracy, with mean absolute errors in the vertical, north–south, and east–west directions reduced by more than 86% compared with the standalone PIM model in edge zones. The fusion approach effectively captured both large-magnitude center deformations and subtle edge displacements. Multi-source data fusion with intelligent optimization algorithms significantly enhances the accuracy of 3D deformation monitoring in mining areas, providing reliable technical support for safety management and environmental protection. [ABSTRACT FROM AUTHOR]
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Abstract:Highlights: What are the main findings? A novel zonal fusion strategy, guided by the InSAR detectable gradient, seamlessly integrates InSAR and the PIM to reconstruct a complete line-of-sight deformation field, overcoming limitations like decorrelation in high-strain areas. The proposed framework achieves superior 3D monitoring accuracy. Validation at the Yinying Mining Area shows an over 86% reduction in mean absolute error for 3D displacements at basin edges compared to the standalone PIM, capturing both large subsidence and subtle deformations. What are the implications of the main findings? The fusion methodology provides a reliable and generalizable solution for reconstructing complete deformation fields in challenging environments like mining areas, where single-technique approaches are often inadequate. The enhanced accuracy in capturing full-field 3D displacements offers significant practical value for improved hazard assessment, infrastructure protection, and informed decision-making in mining and other geohazard-related industries. Accurate monitoring of mining-induced three-dimensional surface deformation is critical for safety and environmental protection. Conventional InSAR often loses coherence in high-deformation areas and provides only one-dimensional measurements, while the Probability Integral Model (PIM) suffers from low accuracy at subsidence edges, caused by premature numerical convergence of its error-function-based mathematical formulation—the model prediction rapidly drops to zero and fails to capture subtle real-world deformations in marginal zones. This study developed a fusion method integrating multi-source InSAR (Sentinel-1A and SAOCOM), PIM, and the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). Applied in the Yinying Mining Area, Shanxi Province, the approach combined ascending and descending SAR data processed via SBAS-InSAR, used CMA-ES to optimize PIM parameter inversion, and employed a zonal fusion strategy to reconstruct complete deformation fields. The method demonstrated substantial improvement in monitoring accuracy, with mean absolute errors in the vertical, north–south, and east–west directions reduced by more than 86% compared with the standalone PIM model in edge zones. The fusion approach effectively captured both large-magnitude center deformations and subtle edge displacements. Multi-source data fusion with intelligent optimization algorithms significantly enhances the accuracy of 3D deformation monitoring in mining areas, providing reliable technical support for safety management and environmental protection. [ABSTRACT FROM AUTHOR]
ISSN:20724292
DOI:10.3390/rs18111839