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An Improved Time-Series Model Considering Rheological Parameters for Surface Deformation Monitoring of Soft Clay Subgrade

1,2, 1,3,4,*, 1,3 and 2
1
Laboratory of Radar Remote Sensing Applications, Changsha University of Science & Technology, Changsha 410014, China
2
School of Traffic and Transportation Engineering, Changsha University of Science & Technology, Changsha 410014, China
3
School of Electrical and Information Engineering, Changsha University of Science & Technology, Changsha 410014, China
4
School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, UK
*
Author to whom correspondence should be addressed.
This paper is an expanded version of “Investigation on INSAR Time Series Deformation Model Considering Rheological Parameters for Soft Clay Subgrade Monitoring” published in the Proceedings of the ISPRS TC III Mid-term Symposium ‘Developments, Technologies and Applications in Remote Sensing’, Beijing, China, 7–10 May 2018.
Sensors 2019, 19(14), 3073; https://doi.org/10.3390/s19143073
Received: 14 May 2019 / Revised: 7 July 2019 / Accepted: 9 July 2019 / Published: 11 July 2019
(This article belongs to the Special Issue Synthetic Aperture Radar (SAR) Techniques and Applications)
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Abstract

Building deformation models consistent with reality is a crucial step for time-series deformation monitoring. Most deformation models are empirical mathematical models, lacking consideration of the physical mechanisms of observed objects. In this study, we propose an improved time-series deformation model considering rheological parameters (viscosity and elasticity) based on the Kelvin model. The functional relationships between the rheological parameters and deformation along the Synthetic Aperture Radar ( SAR) line of sight are constructed, and a method for rheological parameter estimation is provided. To assess the feasibility and accuracy of the presented model, both simulated and real deformation data over a stretch of the Lungui highway (built on soft clay subgrade in Guangdong province, China) are investigated with TerraSAR-X satellite imagery. With the proposed deformation model, the unknown rheological parameters over all the high coherence points are obtained and the deformation time-series are generated. The high-pass (HP) deformation component and external leveling ground measurements are utilized to assess the modeling accuracy. The results show that the root mean square of the residual deformation is ±1.6 mm, whereas that of the ground leveling measurements is ±5.0 mm, indicating an improvement in the proposed model by 53%, and 34% compared to the pure linear velocity model. The results indicate the reliability of the presented model for the application of deformation monitoring of soft clay highways. The estimated rheological parameters can be provided as a reference index for the interpretation of long-term highway deformation and the stability control of subgrade construction engineering. View Full-Text
Keywords: deformation model; time series deformation; rheological parameter; highway deformation model; time series deformation; rheological parameter; highway
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Xing, X.; Chen, L.; Yuan, Z.; Shi, Z. An Improved Time-Series Model Considering Rheological Parameters for Surface Deformation Monitoring of Soft Clay Subgrade. Sensors 2019, 19, 3073.

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