A Physics-Guided Deep Learning Method for Temporal InSAR Surface Deformation Monitoring and Prediction: A Case Study of Lishi District, Shanxi Province, China.

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Title: A Physics-Guided Deep Learning Method for Temporal InSAR Surface Deformation Monitoring and Prediction: A Case Study of Lishi District, Shanxi Province, China.
Authors: Zhang, Bing1 (AUTHOR) zhangbing@lntu.edu.cn, Du, Yongjie1,2 (AUTHOR), Song, Weidong1 (AUTHOR), Zhang, Jichao1,2 (AUTHOR), Sun, Hongchang2 (AUTHOR), Ren, Dongfeng1 (AUTHOR)
Source: Remote Sensing. May2026, Vol. 18 Issue 10, p1553. 22p.
Subjects: Deep learning, Radar interferometry, Land subsidence, Time, Hazard signs, Deformations (Mechanics)
Geographic Terms: China, Shanxi Sheng (China)
Abstract: Highlights: What are the main findings? The CMTF-P2P method proposed in this study can better preserve the evolution characteristics and spatial distribution patterns of land surface deformation time series. In independent validation, it achieved better results, with RMSE = 0.43 mm and R2 = 0.92. Its overall performance is superior to comparative models such as iTransformer, LSTM, DLinear, PatchTST, TimesNet and N-BEATS. Ablation experiments show that multiple factors such as rainfall, soil, and mining subsidence areas have significant complementary effects. Meanwhile, causal STL decomposition, event stage characteristics, multi-branch network structure, and incremental cumulative consistency constraints jointly improve prediction accuracy and stability, with the 7 × 7 neighborhood scale showing the best prediction performance. What are the implications of the main findings? Combining causal decomposition, physical constraints, multi-source driving information, and deep learning can effectively improve the reliability and stability of InSAR deformation prediction. This method can provide technical support for surface subsidence monitoring, hazard identification, and risk early warning. Surface deformation is characterized by long-term accumulation and significant spatial differences, commonly inducing ground fissures and structural damage to roads and buildings, and in severe cases, causing collapses and other accidents that directly threaten human life. Reliable deformation monitoring and prediction are of great significance for early warning and infrastructure safety. Synthetic aperture radar interferometry (InSAR) technology can be used to acquire high-spatiotemporal-resolution temporal observations of surface deformation over a large area, but research on surface deformation prediction using InSAR temporal images is still relatively limited. Therefore, in this study, we used Sentinel-1 temporal imagery as the data foundation. Firstly, small baseline subset (SBAS)-InSAR inversion was used to obtain the line-of-sight-oriented cumulative deformation sequence and subsidence rate results. Based on this, the causal multi-trend fusion patch-to-point (CMTF-P2P) surface deformation prediction framework was developed. This framework effectively separates the long-term trends and short-term fluctuations in the deformation sequence through causal decomposition; introduces external drivers such as rainfall and event phase characteristics to enhance the temporal expression; and utilizes patch-to-point fusion of neighborhood spatial information to improve the spatial continuity and the ability to characterize local differences. Experimental results show that the method has an RMSE of 0.43 mm and an R2 of 0.92, outperforming time-series deformation prediction models such as LSTM and iTransformer. Compared with traditional models that learn overall change patterns from historical time series, this paper alleviates the confusion between trends and volatility using causal STL decomposition, making the model's expression of long-term trends and seasonal and short-term fluctuations in volatility clearer; event phase encoding enhances the model's ability to characterize sudden disturbances and phased responses to events; the patch-to-point structure incorporates spatiotemporal information within the neighborhood, enhancing the model's ability to apply spatiotemporal information; multi-branch collaborative modeling enhances the model's ability to characterize multi-scale temporal features; and incremental cumulative consistency constraints enhance the physical consistency of the prediction results. [ABSTRACT FROM AUTHOR]
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  Data: A Physics-Guided Deep Learning Method for Temporal InSAR Surface Deformation Monitoring and Prediction: A Case Study of Lishi District, Shanxi Province, China.
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Bing%22">Zhang, Bing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zhangbing@lntu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Du%2C+Yongjie%22">Du, Yongjie</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Song%2C+Weidong%22">Song, Weidong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Jichao%22">Zhang, Jichao</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sun%2C+Hongchang%22">Sun, Hongchang</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ren%2C+Dongfeng%22">Ren, Dongfeng</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Remote+Sensing%22">Remote Sensing</searchLink>. May2026, Vol. 18 Issue 10, p1553. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Deep+learning%22">Deep learning</searchLink><br /><searchLink fieldCode="DE" term="%22Radar+interferometry%22">Radar interferometry</searchLink><br /><searchLink fieldCode="DE" term="%22Land+subsidence%22">Land subsidence</searchLink><br /><searchLink fieldCode="DE" term="%22Time%22">Time</searchLink><br /><searchLink fieldCode="DE" term="%22Hazard+signs%22">Hazard signs</searchLink><br /><searchLink fieldCode="DE" term="%22Deformations+%28Mechanics%29%22">Deformations (Mechanics)</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22China%22">China</searchLink><br /><searchLink fieldCode="DE" term="%22Shanxi+Sheng+%28China%29%22">Shanxi Sheng (China)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Highlights: What are the main findings? The CMTF-P2P method proposed in this study can better preserve the evolution characteristics and spatial distribution patterns of land surface deformation time series. In independent validation, it achieved better results, with RMSE = 0.43 mm and R2 = 0.92. Its overall performance is superior to comparative models such as iTransformer, LSTM, DLinear, PatchTST, TimesNet and N-BEATS. Ablation experiments show that multiple factors such as rainfall, soil, and mining subsidence areas have significant complementary effects. Meanwhile, causal STL decomposition, event stage characteristics, multi-branch network structure, and incremental cumulative consistency constraints jointly improve prediction accuracy and stability, with the 7 × 7 neighborhood scale showing the best prediction performance. What are the implications of the main findings? Combining causal decomposition, physical constraints, multi-source driving information, and deep learning can effectively improve the reliability and stability of InSAR deformation prediction. This method can provide technical support for surface subsidence monitoring, hazard identification, and risk early warning. Surface deformation is characterized by long-term accumulation and significant spatial differences, commonly inducing ground fissures and structural damage to roads and buildings, and in severe cases, causing collapses and other accidents that directly threaten human life. Reliable deformation monitoring and prediction are of great significance for early warning and infrastructure safety. Synthetic aperture radar interferometry (InSAR) technology can be used to acquire high-spatiotemporal-resolution temporal observations of surface deformation over a large area, but research on surface deformation prediction using InSAR temporal images is still relatively limited. Therefore, in this study, we used Sentinel-1 temporal imagery as the data foundation. Firstly, small baseline subset (SBAS)-InSAR inversion was used to obtain the line-of-sight-oriented cumulative deformation sequence and subsidence rate results. Based on this, the causal multi-trend fusion patch-to-point (CMTF-P2P) surface deformation prediction framework was developed. This framework effectively separates the long-term trends and short-term fluctuations in the deformation sequence through causal decomposition; introduces external drivers such as rainfall and event phase characteristics to enhance the temporal expression; and utilizes patch-to-point fusion of neighborhood spatial information to improve the spatial continuity and the ability to characterize local differences. Experimental results show that the method has an RMSE of 0.43 mm and an R2 of 0.92, outperforming time-series deformation prediction models such as LSTM and iTransformer. Compared with traditional models that learn overall change patterns from historical time series, this paper alleviates the confusion between trends and volatility using causal STL decomposition, making the model's expression of long-term trends and seasonal and short-term fluctuations in volatility clearer; event phase encoding enhances the model's ability to characterize sudden disturbances and phased responses to events; the patch-to-point structure incorporates spatiotemporal information within the neighborhood, enhancing the model's ability to apply spatiotemporal information; multi-branch collaborative modeling enhances the model's ability to characterize multi-scale temporal features; and incremental cumulative consistency constraints enhance the physical consistency of the prediction results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Remote Sensing is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.3390/rs18101553
    Languages:
      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 1553
    Subjects:
      – SubjectFull: Deep learning
        Type: general
      – SubjectFull: Radar interferometry
        Type: general
      – SubjectFull: Land subsidence
        Type: general
      – SubjectFull: Time
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      – SubjectFull: Hazard signs
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      – SubjectFull: Deformations (Mechanics)
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      – SubjectFull: China
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      – SubjectFull: Shanxi Sheng (China)
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      – TitleFull: A Physics-Guided Deep Learning Method for Temporal InSAR Surface Deformation Monitoring and Prediction: A Case Study of Lishi District, Shanxi Province, China.
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              Text: May2026
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