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ZHENG Guanfeng, XING Xuemin, XU Wendong, et al. Estimation of InSAR time-series deformation for soft-soil highways considering cyclic loading[J]. Journal of Radars, in press. doi: 10.12000/JR25012
Citation: ZHENG Guanfeng, XING Xuemin, XU Wendong, et al. Estimation of InSAR time-series deformation for soft-soil highways considering cyclic loading[J]. Journal of Radars, in press. doi: 10.12000/JR25012

Estimation of InSAR Time-series Deformation for Soft-soil Highways Considering Cyclic Loading

DOI: 10.12000/JR25012 CSTR: 32380.14.JR25012
Funds:  The National Natural Science Foundation of China (42074033), Research Foundation of the Department of Sinohydro Engineering Bureau 8 Company (2023060), Research Foundation of the Department of Natural Resources of Hunan Province (20230118CH), Research Foundation of the Department of Traffic Transportation of Hunan Province (202211), Changsha Innovation Talent Promotion Plan Project for Distinguished Young Scholar (kq2209011)
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  • Corresponding author: XING Xuemin, xuemin.xing@csust.edu.cn
  • Received Date: 2025-01-13
  • Rev Recd Date: 2025-06-26
  • Available Online: 2025-07-02
  • Long-term cyclic loading by vehicles is a non-negligible contributor to post-work settlement of highways. Current Interferometric Synthetic Aperture Radar (InSAR) deformation models used for monitoring the deformation of soft-soil highways generally neglect the contribution of cyclic loading. The InSAR time-series deformation models used for monitoring highway deformation are typically combinations of one or several purely empirical functions, which lack clarity in physical significance and overlook the impact of cyclic loading on settlement. Herein, a method for estimating the deformation of soft-ground highways that accounts for cyclic loading is proposed (Improved InSAR Model considering both the Rheological Properties and the Traffc Loading, IRTM). The method improves InSAR deformation modeling and the parameter estimation algorithms. In the deformation modeling, the Maxwell rheological model, which describes the deformation and creep characteristics of soft soil, serves as the base model for InSAR modeling. An additional dynamic stress model was incorporated to describe the plastic deformation caused by cyclic loading, which was combined with a thermal expansion model to characterize the thermal expansion component of the road base and bridge affected by temperature. This combination provided a more reasonable interpretation of the deformation estimation data. For parameter estimation, a method based on a Genetic Algorithm (GA) and a parameter estimation algorithm was proposed. In particular, a parameter estimation method combining GA and the Levenberg-Marquardt (LM) algorithm was developed, where the initial value obtained by GA was further optimized by LM to enhance the solving efficiency and accuracy. The proposed method was validated through simulation and experiments employing real data. The simulation revealed that the relative errors of the model parameter estimates were all below 6% when ±0.5 rad noise was applied. Real data from the selected study area, i.e., the Beijing-Pinggu Expressway, were utilized, and the time-series deformations from 22 January 2012 to 1 July 2014 were obtained. The results show that the cumulative deformation reached −140 mm, where the rheological component of the soft-ground section was the dominant contributor to deformation, accounting for approximately 76%, whereas the cyclic through-load component was dominant at road intersections, accounting for 81%. Compared with single Maxwell and traditional linear models, the modeling accuracy of the developed method was improved by 44.4% and 49.6%, respectively. Finite Element Analysis (FEA) was used to verify the deformation accuracy obtained from real experiments. The deformation curves generated using the developed method were consistent with those produced by FEA under different axle loads, with a maximum standard deviation of only 1.8 mm. Cross-validation against existing studies showed that the external accuracy of the deformation rate obtained in this study was ±1.4 mm/yr, further confirming the reliability of the developed method for estimating and interpreting the post-work deformation of highways under cyclic loading. This method can provide a reference for controlling the stability of highways.

     

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