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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.    2021, Vol. 15 Issue (2) : 444-460    https://doi.org/10.1007/s11709-021-0697-9
RESEARCH ARTICLE
Concrete corrosion in wastewater systems: Prediction and sensitivity analysis using advanced extreme learning machine
Mohammad ZOUNEMAT-KERMANI1(), Meysam ALIZAMIR2, Zaher Mundher YASEEN3(), Reinhard HINKELMANN4
1. Department of Water Engineering, Shahid Bahonar University of Kerman, Kerman 76169-13439, Iran
2. Department of Civil Engineering, Hamedan Branch, Islamic Azad University, Hamedan 65181-15743, Iran
3. Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
4. Department of Civil Engineering, Technische Universität Berlin, Berlin 13355, Germany
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Abstract

The implementation of novel machine learning models can contribute remarkably to simulating the degradation of concrete due to environmental factors. This study considers the sulfuric acid corrosive factor in wastewater systems to simulate concrete mass loss using five machine learning models. The models include three different types of extreme learning machines, including the standard, online sequential, and kernel extreme learning machines, in addition to the artificial neural network, classification and regression tree model, and statistical multiple linear regression model. The reported values of concrete mass loss for six different types of concrete are the target values of the machine learning models. The input variability was assessed based on two scenarios prior to the application of the predictive models. For the first assessment, the machine learning models were developed using all the available cement and concrete mixture input variables; the second assessment was conducted based on the gamma test approach, which is a sensitivity analysis technique. Subsequently, the sensitivity analysis of the most effective parameters for concrete corrosion was tested using three different approaches. The adopted methodology attained optimistic and reliable modeling results. The online sequential extreme learning machine model demonstrated superior performance over the other investigated models in predicting the concrete mass loss of different types of concrete.

Keywords sewer systems      environmental engineering      data-driven methods      sensitivity analysis     
Corresponding Author(s): Mohammad ZOUNEMAT-KERMANI,Zaher Mundher YASEEN   
Online First Date: 30 April 2021    Issue Date: 27 May 2021
 Cite this article:   
Mohammad ZOUNEMAT-KERMANI,Meysam ALIZAMIR,Zaher Mundher YASEEN, et al. Concrete corrosion in wastewater systems: Prediction and sensitivity analysis using advanced extreme learning machine[J]. Front. Struct. Civ. Eng., 2021, 15(2): 444-460.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-021-0697-9
https://academic.hep.com.cn/fsce/EN/Y2021/V15/I2/444
Fig.1  Flowchart of the general process of the OS-ELM model.
Fig.2  Methodology used in this study for the prediction and sensitivity analysis phases using extreme learning models, conventional ML models, and statistical MLR model.
concrete type compound of cement concrete mixture
cement type (ASTM C150) silicates aluminates CW of concrete (kg/m3) W/C ratio additive cementing material (% of cementitious material content)
C3S C2S C3A C4AF slag silica fume
PC50 I 49 25 12 8 340 0.5
PC40 I 49 25 12 8 425 0.4
SR V 43 36 4 12 425 0.4
SC I 49 25 12 8 276 0.4 35
SFC I 49 25 12 8 391 0.4 8
SFSC I 49 25 12 8 293 0.4 25 6
Tab.1  Cement properties and mixture proportions of the concrete treatments used in this study [67]
concrete type PC50 PC40 SR SC SFC SFSC
min −3.0 −2.1 −1.2 −2.1 −2.2 −2.3
max 35.6 28.6 27.5 29.9 28.5 31.7
mean 13.4 11.2 10.8 11.8 11.3 12.6
std. 12.8 10.3 9.7 10.9 10.3 11.7
Tab.2  Statistical characteristics of concrete corrosion in terms of mass loss (g)
Fig.3  Mass loss of different concrete types exposed to 2 cm3 of 7% sulfuric acid for 150 applications.
input variables gamma value (Г) input variables gamma value (Г)
all the input variables 0.051 all the input variables- C3S % 0.046
all the input variables- AA 0.269 all the input variables- C2S % 0.046
all the input variables- CW 0.075 all the input variables- C3A % 0.046
all the input variables- W/C 0.040 all the input variables – C4AF % 0.046
all the input variables- SI% 0.072 AA, CW, SI % −0.008
all the input variables- Sf% 0.019
Tab.3  GT results on the mass loss of concrete
item OS-ELM ELM ANN K-ELM
number of layers 3 3 3 number of layers= 3
hidden neurons 92 100 10
regularization coefficient 100
activation function sigmoid sigmoid log sigmoid
kernel type polynomial
learning rule OS-ELM ELM Levenberg–Marquardt K-ELM
Tab.4  Optimal parameters for the proposed network-based ML models
category methods training testing
RMSE (g) NS AIC MAE (g) RMSE (g) NS AIC MAE (g)
extreme learning ML models OS-ELM <0.001 1.00 <0.001 <0.001 1.204 0.989 27.056 1.038
K- ELM 0.854 0.993 <0.001 0.689 1.220 0.989 27.561 0.871
ELM <0.001 1.00 <0.001 <0.001 1.300 0.988 29.973 1.038
conventional ML models CART 1.292 0.985 59.550 0.867 1.692 0.979 39.997 1.232
MLPNN 1.239 0.986 53.051 1.019 1.695 0.979 40.060 1.349
statistical MLR 1.183 0.987 45.945 0.905 1.527 0.983 36.105 1.164
Tab.5  Training and testing results of the applied predictive models in simulating concrete mass loss by considering all the available input variables (Scenario I)
Fig.4  Scatter plots for the results of ML models using all the available independent input parameters, (a) MLPNN; (b) CART; (c) ELM; (d) K-ELM; (e) OS-ELM.
Fig.5  Box plots of the results of different applied predictive models based on the (a) first and (b) second scenarios.
Fig.6  Taylor diagram of the statistics for the predicted corrosion values of the applied models based on the two input scenarios.
category methods training testing
RMSE (g) NS AIC MAE (g) RMSE (g) NS AIC MAE (g)
extreme learning ML models OS-ELM 0.998 0.991 7.742 0.781 1.351 0.987 19.431 0.938
K-ELM 1.039 0.99 13.915 0.805 1.349 0.987 19.391 0.938
ELM 0.208 0.999 <0.001 0.097 2.677 0.949 45.425 2.315
conventional ML models CART 1.566 0.978 77.159 1.006 1.296 0.988 17.865 1.015
MLPNN 4.867 0.792 251.71 3.944 4.79 0.837 67.529 4.338
statistical MLR 1.183 0.987 33.945 0.905 1.527 0.983 24.105 1.164
Tab.6  Training and testing results of the applied predictive models in simulating concrete mass using the GT (Scenario II)
Fig.7  Scatter plots for the results of ML models using selected independent input parameters based on the GT, (a) MLPNN; (b) CART; (c) ELM; (d) K-ELM; (e) OS-ELM
Fig.8  Importance of each cement/concrete explanatory variable obtained from: (a) RReliefF algorithm; (b) GT.
omitted parameter testing phase
RMSE (g) NSE percentage of effectiveness
CW 5.191 0.809 299.00
W/C 1.67 0.98 28.46
Sl % 1.484 0.984 14.15
SF % 1.709 0.979 31.46
C3S % 1.148 0.99 − 11.69
C2S % 1.793 0.977 37.92
C3A % 1.34 0.987 3.07
C4AF % 1.281 0.988 − 1.46
Tab.7  Sensitivity analysis results based on the ELM model using the leave-one-out method for the cement and concrete parameters
cement/concrete parameter rank
GT RReliefF algorithm leave-one-out method
CW 1 1 1
W/C 4 2 4
Sl % 2 3 5
SF % 5 4 3
C3S % 3 4 8
C2S % 3 4 2
C3A % 3 4 6
C4AF % 3 4 7
Tab.8  Effectiveness ranks for cement/concrete independent input parameters using three different sensitivity analysis tests
AA: acid application number
ANN: artificial neural network
C2S: dicalcium silicate
C3A: tricalcium aluminate
C3S: tricalcium silicate
C4AF: tetracalcium aluminoferrite
CART: classification and regression tree
CW: weight of cement in concrete
ELM: extreme learning machine
GT: gamma test
K-ELM: kernel extreme learning machine
MAE: mean absolute error
ML: machine learning
MLPNN: multi-layer perceptron neural network
NSE: Nash–Sutcliffe efficiency
OS-ELM: online sequential extreme learning machine
PC: Portland cement
PC40: Portland concrete with W/C ratio equals to 0.4
PC50: Portland concrete with W/C ratio equals to 0.5
RBF: radial basis function
RMSE: root mean square error
RReliefF: regressional relief F
SC: slag concrete
SF %: percentage of silica fume in the concrete mixture
SFC: silica fume concrete
SFSC: silica fume and slag concrete
Sl %: percentage of slag in the concrete mixture
SLFN: single-layer feed-forward neural network
SR: sulfate resisting cement
W/C: water–cementitious ratio
  
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