ISSN 2096-4498

   CN 44-1745/U

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Tunnel Construction ›› 2025, Vol. 45 ›› Issue (11): 2033-2043.DOI: 10.3973/j.issn.2096-4498.2025.11.005

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Metro Settlement Prediction Based on Wavelet Threshold Denoising-Phase Space Reconstruction Data Processing and Grid Search Method-Optimized Support Vector Machine Regression Model

RONG Miren1, 2, 3, FENG Chao1, PANG Yinping4, LUO Lanxin1, YUAN Ying1, GENG Dongyang1, ZHENG Yongrui1, LI Jiayin1#br#   

  1. (1. School of Urban Geology and Engineering, Hebei GEO University, Shijiazhuang 052161, Hebei, China; 2. Hebei Technology Innovation Center for Intelligent Development and Control of Underground Built Environment, Hebei GEO University, Shijiazhuang 052161, Hebei, China; 3. Key Laboratory of Intelligent Detection and Equipment for Underground Space of Beijing-Tianjin-Hebei Urban Agglomeration, Hebei GEO University, Shijiazhuang 052161, Hebei, China; 4. Department of Economics and Trade, Shijiazhuang University of Applied Technology, Shijiazhuang 050800, Hebei, China)
  • Online:2025-11-20 Published:2025-11-20

Abstract: To predict the settlement of surrounding surfaces during metro construction with high accuracy and reliability, the authors propose a combined model based on wavelet threshold denoising (WTD), phase space reconstruction (PSR), and a grid search method-optimized support vector machine regression model (GSM-SVR). The model is built using engineering data of a city′s Metro Line 1. First, the WTD method (db4 function) is applied to preprocess the raw monitoring data, effectively eliminating noise and singular values. This step raises the signal-to-noise ratio to 11.814 4 and reduces the root mean square error (ERMSE) to 0.373 83. Second, PSR (embedding dimension=5 and delay time=1) is used to convert the static time series into multidimensional dynamic feature data, thereby enhancing the nonlinear representation capability of the data. Finally, the hyperparameters of the SVR model (c=50 and g=0.38) are optimized using the GSM to construct a GSM-SVR prediction model. Subsequently, six comparative models, including the traditional SVR, particle swarm optimization-SVR, and gray wolf optimizer-SVR models, are used for performance evaluation. Results indicate the following: (1) WTD-PSR effectively removes noise and singular values while enhancing the multidimensional dynamic characteristics of the data. (2) Compared with the other models, the GSM-SVR model reduces prediction errors (EMAPE, EMAE, and ERMSE) by 8.44%-64.35% and improves the goodness of fit (R2) by 0.51%-22.08% while achieving an average error of only 3.68%. (3) Denoising remarkably enhances model performance, reducing prediction errors by 12.33%-19.70%. Thus, the proposed model effectively predicts the settlement during metro construction.

Key words: metro, settlement prediction, wavelet threshold denoising, phase space reconstruction, dynamic characteristics, grid search method-optimized support vector machine regression model