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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.    2022, Vol. 16 Issue (9) : 1153-1169    https://doi.org/10.1007/s11709-022-0830-4
RESEARCH ARTICLE
Application of machine learning technique for predicting and evaluating chloride ingress in concrete
Van Quan TRAN1(), Van Loi GIAP1, Dinh Phien VU1, Riya Catherine GEORGE2, Lanh Si HO1,2()
1. Department of Civil Engineering, University of Transport Technology, Hanoi 100000, Vietnam
2. Civil and Environmental Engineering Program, Graduate School of Advanced Science and Engineering, Hiroshima University, Hiroshima 739-8527, Japan
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Abstract

The degradation of concrete structure in the marine environment is often related to chloride-induced corrosion of reinforcement steel. Therefore, the chloride concentration in concrete is a vital parameter for estimating the corrosion level of reinforcement steel. This research aims at predicting the chloride content in concrete using three hybrid models of gradient boosting (GB), artificial neural network (ANN), and random forest (RF) in combination with particle swarm optimization (PSO). The input variables for modeling include exposure condition, water/binder ratio (W/B), cement content, silica fume, time exposure, and depth of measurement. The results indicate that three models performed well with high accuracy of prediction (R2≥ 0.90). Among three hybrid models, the model using GB_PSO achieved the highest prediction accuracy (R2 = 0.9551, RMSE = 0.0327, and MAE = 0.0181). Based on the results of sensitivity analysis using SHapley Additive exPlanation (SHAP) and partial dependence plots 1D (PDP-1D), it was found that the exposure condition and depth of measurement were the two most vital variables affecting the prediction of chloride content. When the number of different exposure conditions is larger than two, the exposure significantly impacted the chloride content of concrete because the chloride ion ingress is affected by both chemical and physical processes. This study provides an insight into the evaluation and prediction of the chloride content of concrete in the marine environment.

Keywords gradient boosting      random forest      chloride content      concrete      sensitivity analysis.     
Corresponding Author(s): Van Quan TRAN,Lanh Si HO   
Just Accepted Date: 09 September 2022   Online First Date: 15 November 2022    Issue Date: 22 December 2022
 Cite this article:   
Van Quan TRAN,Van Loi GIAP,Dinh Phien VU, et al. Application of machine learning technique for predicting and evaluating chloride ingress in concrete[J]. Front. Struct. Civ. Eng., 2022, 16(9): 1153-1169.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-022-0830-4
https://academic.hep.com.cn/fsce/EN/Y2022/V16/I9/1153
Fig.1  Histogram and sample distribution of input variables in the database: (a) exposure condition; (b) W/B; (c) cement content; (d) silica fume content; (e) time exposure; (f) depth of measurement; (g) chloride content.
variablecountunitmeanmedianminmaxQ25%Q75%StD
exposure condition4042 (SPL)2 (SPL)1 (SUB)3(ATM)
W/B4040.400.400.350.500.350.450.05
cement content40437137233540036040020
silica fume content404kg/m320.728.00.040.00.040.016.5
time exposure404month6.24.82.59.04.59.02.4
depth of measurement404mm15.515.00.530.07.625.08.9
chloride content404g/100 g of concrete0.1470.0990.0000.7020.0180.2250.155
Tab.1  Input and output variable description of the present study
Fig.2  Correlation between input and output variables.
Fig.3  DC between input and output variables.
Fig.4  Illustration of ANN algorithm.
Fig.5  RF flow chart.
Fig.6  Particle movement in PSO algorithm.
Fig.7  Methodology flowchart.
ANNGBRF
hyperparameterrange of valuehyperparameterrange of valuehyperparameterrange of value
number of neurons1–20number of trees1–600number of trees1–600
number of hidden layers1–2learning rate0.01–0.3
solver1, 2, 3 (*)max features1–6max features1–6
activation function1, 2, 3 (**)min samples split0.001–0.9min samples split0.001–0.9
max iteration1000–4000min samples leaf0.001–0.9min samples leaf0.001–0.9
learning rate0.001–0.2max depth1–9max depth1–9
data used10Fold CVdata used10Fold CVdata used10Fold CV
performance indexR2performance indexR2performance indexR2
Tab.2  Hyper-parameters space of ML models
Fig.8  Influence of Po on convergence R2 score.
ANNGBRF
hyperparametervaluehyperparametervaluehyperparametervalue
number of neurons(3,12)number of trees129number of trees500
number of hidden layers2learning rate0.150
solver (*)quasi-Newton methodmax features3max features4
activation function (**)Relumin samples split0.008min samples split0.004
max iteration1000min samples leaf0.009min samples leaf0.002
learning ratemax depth3max depth8
best criteria R20.8347best criteria R20.8623best criteria R20.8547
Tab.3  Optimum hyper-parameters of ML models
Fig.9  R2 score of hybrid models versus the number of iterations using 500 Monte Carlo simulations for different models.
Fig.10  Performance and StD value of three MF models: (a) RMSE value; (b) MAE value; (c) R2 value for training and testing part.
datasetmodelminaveragemaxStD
trainANN_PSO0.7990.8780.9240.022
RF_PSO0.9570.9720.9850.006
GB_PSO0.9560.9740.9880.007
testANN_PSO0.6360.7990.8970.062
RF_PSO0.7410.8530.9350.035
GB_PSO0.7020.8680.9570.037
Tab.4  Summary of R2 value in 500 simulations for three ML models
datasetmodelminaveragemaxStD
trainANN_PSO29.2636.31118.474.88
RF_PSO11.6814.5916.940.93
GB_PSO10.4713.8517.521.30
testANN_PSO46.8068.12162.939.51
RF_PSO25.6035.2050.384.22
GB_PSO20.8433.4248.073.99
Tab.5  Summary of RMSE value (× 10?3) in 500 Monte Carlo simulations for three ML models
datasetmodelminaveragemaxStD
trainANN_PSO42.8953.99150.956.39
RF_PSO18.5925.4230.543.04
GB_PSO16.2524.8632.153.70
testANN_PSO46.8068.12162.939.51
RF_PSO40.0558.7984.258.12
GB_PSO32.1555.4290.648.91
Tab.6  Summary of MAE value (× 10?3) in 500 simulations for three ML models
Fig.11  Experimental and predicted chloride content results as a function of the sample index for the training and testing datasets.
Fig.12  Regression graphs for the case of the best parameters of GB_PSO model: (a) training part; (b) testing part; (c) all data.
name of algorithmNo. of samplesinputmodel performanceRef.
trainingtestingall
R2RMSEMAER2RMSEMAER2RMSEMAE
ANN162curing type, curing time, blast furnace slag ratio, corrosion inhibitor ratio0.7320[47]
ANFIS0.9223
ANN86cement, water, fine aggregate, coarse aggregate and type and dosage of pozzolanic materials0.97820.9741[31]
linear regression0.91410.3260
ANN162environmental condition, penetration depth, W/C, silica fume content0.98760.9769[33]
CART0.97690.9626
LSSVM132mortar age, depth of measurement, diffusion dimension, presence of reinforcement0.9200.860[30]
MGGP0.9000.870
LM-ANN0.9000.880
MARS0.9500.910
GB_PSO404exposure condition, W/B, cement content, silica fume content, time exposure, depth of measurement0.95730.03160.01630.95000.03540.02250.95510.03270.0181*
Tab.7  Comparison between the results in this study and previous literature
Fig.13  SHAP value for feature importance analysis.
Fig.14  Partial Dependence Plots (PDP) of the input variables on predicted chloride content. (a) Depth of measurement; (b) exposure condition; (c) W/B; (d) cement content; (e) time exposure; (f) silica fume content.
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