1. School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China 2. MOE Key Laboratory of High-Speed Railway Engineering, Chengdu 610031, China
A bi-directional long short-term memory (Bi-LSTM)-based technique was proposed for subgrade settlement prediction in order to achieve early and accurate prediction of post-construction settlement of subgrade. The observational data was transformed into equally spaced observations using interpolation, namely the Akima method, for time series analysis. Six contributing factors were extracted from the ‘fill height-time-foundation settlement’ curves, and were used as input variables for training a Bi-LSTM model. Settlement predictions can be sequentially updated by combining with the rolling forecast technique. Results show that deep learning can efficiently use subgrade construction information, increase the sample size, and improve the reliability of early prediction. The Bi-LSTM model achieves bidirectional feature extraction on observational data and makes more accurate predictions in the same sample size conditions. The information during construction and 3-month post-construction period was used based on observations of six subsoil foundations of medium compressibility and one composite foundation. Predicted results with mean values of root mean square error (RMSE) and mean absolute percentage error (MAPE) were 1.19 mm and 1.04%, respectively.
Wei-hang CHEN,Qiang LUO,Teng-fei WANG,Liang-wei JIANG,Liang ZHANG. Bi-LSTM based rolling forecast of subgrade post-construction settlement with unevenly spaced time series. Journal of ZheJiang University (Engineering Science), 2022, 56(4): 683-691.
Fig.2Forecasting method for post-construction settlement
Fig.3Relationship between fill height, time and ground settlement
Fig.4Bi-LSTM network structures of settlement
Fig.5Profiles of subgrades in test sections
Fig.6Observational data correction and transformation for equally spaced observations
断面
$v{'_{t - 3}} $
vt
Ht
St?3
St?6
St?9
DK1806+925
0.59
0.96
0.58
0.99
0.99
0.98
DK1806+900
0.60
0.91
0.60
0.99
0.99
0.98
DK1806+800
0.85
0.95
0.85
0.99
0.99
0.98
DK1806+775
0.76
0.87
0.77
1.00
0.99
0.99
DK1807+250
0.57
0.95
0.58
0.99
0.98
0.98
DK1807+150
0.55
0.95
0.55
0.99
0.98
0.98
Tab.1Grey correlation degree distribution in test sections
Fig.7Training process of Bi-LSTM
Fig.8Comparision between observed and predicted values of foundation settlement
Fig.9Predicted values derived from modified BP neural network model and hyperbolic function model
Fig.10Bi-LSTM based prediction with different training samples
Fig.11Absolute errors of Bi-LSTM model with different training samples
Fig.12Bi-LSTM based predictions for foundation settlements in remaining test sections
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