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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2019, Vol. 13 Issue (6) : 1363-1378    https://doi.org/10.1007/s11709-019-0561-3
RESEARCH ARTICLE
Prediction of shield tunneling-induced ground settlement using machine learning techniques
Renpeng CHEN1,2,3, Pin ZHANG3(), Huaina WU1,2,3(), Zhiteng WANG3, Zhiquan ZHONG4
1. Key Laboratory of Building Safety and Energy Efficiency, Hunan University, Changsha 410082, China
2. National Joint Research Center for Building Safety and Environment, Hunan University, Changsha 410082, China
3. College of Civil Engineering, Hunan University, Changsha 410082, China
4. China Construction Fifth Engineering Division Co., Ltd, Changsha 410082, China
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Abstract

Predicting the tunneling-induced maximum ground surface settlement is a complex problem since the settlement depends on plenty of intrinsic and extrinsic factors. This study investigates the efficiency and feasibility of six machine learning (ML) algorithms, namely, back-propagation neural network, wavelet neural network, general regression neural network (GRNN), extreme learning machine, support vector machine and random forest (RF), to predict tunneling-induced settlement. Field data sets including geological conditions, shield operational parameters, and tunnel geometry collected from four sections of tunnel with a total of 3.93 km are used to build models. Three indicators, mean absolute error, root mean absolute error, and coefficient of determination the (R2) are used to demonstrate the performance of each computational model. The results indicated that ML algorithms have great potential to predict tunneling-induced settlement, compared with the traditional multivariate linear regression method. GRNN and RF algorithms show the best performance among six ML algorithms, which accurately recognize the evolution of tunneling-induced settlement. The correlation between the input variables and settlement is also investigated by Pearson correlation coefficient.

Keywords EPB shield      shield tunneling      settlement prediction      machine learning     
Corresponding Author(s): Pin ZHANG,Huaina WU   
Just Accepted Date: 19 July 2019   Online First Date: 11 September 2019    Issue Date: 21 November 2019
 Cite this article:   
Renpeng CHEN,Pin ZHANG,Huaina WU, et al. Prediction of shield tunneling-induced ground settlement using machine learning techniques[J]. Front. Struct. Civ. Eng., 2019, 13(6): 1363-1378.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-019-0561-3
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I6/1363
Fig.1  Geological profile at the Changsha Metro Line 4 construction site.
Fig.2  Factors of tunneling-induced surface settlement.
type variable (unit) data (200) unit
Min. Max. Ave.
geometry cover depth (C) 13.40 31.70 19.14 m
operation torque (To) 0.74 3.95 2.22 MN·m
penetration rate (Pr) 3.46 51.00 23.91 mm/rev
thrust (Tr) 3.80 24.20 13.04 MN
face pressure (Fp) 0.00 2.10 1.16 bar
grout filling (Gf) 4.00 11.00 5.63 m3
geology tunnel depth below the water table (W) 4.05 25.38 11.99 m
modified standard penetration test (MSPT) 0.00 38.72 7.78
modified dynamic penetration test (MDPT) 0.00 12.44 0.55
modified uniaxial compressive strength (MUCS) 0.00 36.30 8.28 MPa
output maximum settlement (S) -19.13 3.05 -2.50 mm
Tab.1  Ranges of all variables for training set
type variable (unit) data (200) unit
Min. Max. Ave.
geometry cover depth (C) 14.10 29.70 19.39 m
operation torque (To) 1.11 3.20 2.29 MN·m
penetration rate (Pr) 5.33 54.60 26.54 mm/rev
thrust (Tr) 4.38 20.70 12.43 MN
face pressure (Fp) 0.00 2.20 1.18 bar
grout filling (Gf) 4.00 6.90 5.54 m3
geology tunnel depth below the water table (W) 5.05 23.48 12.22 m
modified standard penetration test (MSPT) 0.01 32.29 6.51
modified dynamic penetration test (MDPT) 0.00 5.66 0.29
modified uniaxial compressive strength (MUCS) 0.00 31.62 8.99 MPa
output maximum settlement (S) -12.13 2.52 -1.90 mm
Tab.2  Ranges of all variables for test set
Fig.3  Correlation matrix and scatter plot of all variables.
Fig.4  Marginal histogram of settlements predicted by multivariate regression method, compared to measured values.
Fig.5  Workflow of determining optimum ML algorithm.
Fig.6  Relation between the model performance and the parameter of test set. (a) BPNN; (b) WNN; (c) GRNN; (d) ELM; (e) SVM; (f) RF.
algorithm optimum parameters MAE (mm) time (s)
BPNN hidden_layer_number= 1
hidden_layer_neuron_num= 53
6.33 165
WNN hidden_layer_neuron_num= 10 5.90 32
GRNN s_width index= 2 2.35 41
ELM hidden_layer_neuron_num= 3 2.33 5
SVM c_penalty= 5.6569
g_width index= 0.0625
1.49 9
RF ntree= 13 2.67 28
Tab.3  Values of optimum architectures or parameters in six ML algorithms
Fig.7  Predicted settlements using (a) BPNN, (b) WNN, (c) GRNN, (d) ELM, (e) SVM, (f) RF.
Fig.8  Box plot of the settlements predicted by ML methods, compare to measured settlements (a) training set and (b) test set.
methods training set test set R2
MAE RMSE MAE RMSE
MLR 2.15 3.02 2.31 2.71 0.09
BPNN 0.21 0.33 3.35 4.28 0.12
WNN 1.80 3.66 2.18 3.53 0.13
GRNN 0.34 0.75 1.60 2.23 0.55
ELM 2.22 3.20 2.22 2.86 0.02
SVM 1.40 2.63 1.70 2.28 0.44
RF 0.05 0.53 1.85 2.66 0.42
Tab.4  Comparison of seven models for predicting settlements
Fig.9  Results of test set of different ML methods in predicting settlements.
Fig.10  Prediction errors of test set of different ML methods in predicting settlements.
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