Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope

To detect areas with the potential for landslides, slopes are routinely subjected to stability analyses. To this end, there is a need to adopt appropriate mitigation techniques. In general, the stability of slopes with circular failure mode is defined as the factor of safety (FOS). The literature in...

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Main Authors: Wei Wei, Xibing Li, Jingzhi Liu, Yaodong Zhou, Lu Li, Jian Zhou
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/4/1922
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author Wei Wei
Xibing Li
Jingzhi Liu
Yaodong Zhou
Lu Li
Jian Zhou
author_facet Wei Wei
Xibing Li
Jingzhi Liu
Yaodong Zhou
Lu Li
Jian Zhou
author_sort Wei Wei
collection DOAJ
description To detect areas with the potential for landslides, slopes are routinely subjected to stability analyses. To this end, there is a need to adopt appropriate mitigation techniques. In general, the stability of slopes with circular failure mode is defined as the factor of safety (FOS). The literature includes a variety of numerical/analytical models proposed in different studies to compute the FOS values of slopes. However, the main challenge is to propose a model for solving a non-linear relationship between independent parameters (which have a great impact on slope stability) and FOS values of slopes. This creates a problem with a high level of complexity and with multiple variables. To resolve the problem, this study proposes a new hybrid intelligent model for FOS evaluation and analysis of slopes in two different phases: simulation and optimization. In the simulation phase, different support vector regression (SVR) kernels were built to predict FOS values. The results showed that the radius basis function (RBF) kernel produces more accurate performance prediction compared with the other applied kernels. The prediction accuracy of this kernel was obtained as coefficient of determination = 0.94, which indicates a high prediction capacity during the simulation phase. Then, in the optimization phase, the proposed SVR model was optimized through the use of two well-known techniques, namely, the whale optimization algorithm (WOA) and Harris hawks optimization (HHO), and the optimum input parameters were obtained. The optimal results confirmed that both optimization techniques are able to achieve a high value for FOS of slopes; however, the HHO shows a more powerful process in FOS maximization compared with the WOA technique. In addition, the developed model was also successfully validated using new data with nine data samples.
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spelling doaj.art-3316e1fc29f54910b4c85d69462306df2023-12-11T17:57:48ZengMDPI AGApplied Sciences2076-34172021-02-01114192210.3390/app11041922Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure SlopeWei Wei0Xibing Li1Jingzhi Liu2Yaodong Zhou3Lu Li4Jian Zhou5School of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, ChinaWanbao Mining Ltd., Xicheng District, Beijing 100053, ChinaWanbao Mining Ltd., Xicheng District, Beijing 100053, ChinaWanbao Mining Ltd., Xicheng District, Beijing 100053, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, ChinaTo detect areas with the potential for landslides, slopes are routinely subjected to stability analyses. To this end, there is a need to adopt appropriate mitigation techniques. In general, the stability of slopes with circular failure mode is defined as the factor of safety (FOS). The literature includes a variety of numerical/analytical models proposed in different studies to compute the FOS values of slopes. However, the main challenge is to propose a model for solving a non-linear relationship between independent parameters (which have a great impact on slope stability) and FOS values of slopes. This creates a problem with a high level of complexity and with multiple variables. To resolve the problem, this study proposes a new hybrid intelligent model for FOS evaluation and analysis of slopes in two different phases: simulation and optimization. In the simulation phase, different support vector regression (SVR) kernels were built to predict FOS values. The results showed that the radius basis function (RBF) kernel produces more accurate performance prediction compared with the other applied kernels. The prediction accuracy of this kernel was obtained as coefficient of determination = 0.94, which indicates a high prediction capacity during the simulation phase. Then, in the optimization phase, the proposed SVR model was optimized through the use of two well-known techniques, namely, the whale optimization algorithm (WOA) and Harris hawks optimization (HHO), and the optimum input parameters were obtained. The optimal results confirmed that both optimization techniques are able to achieve a high value for FOS of slopes; however, the HHO shows a more powerful process in FOS maximization compared with the WOA technique. In addition, the developed model was also successfully validated using new data with nine data samples.https://www.mdpi.com/2076-3417/11/4/1922slope stabilityfactor of safetysupport vector regressionwhale optimization algorithmHarris hawks optimization
spellingShingle Wei Wei
Xibing Li
Jingzhi Liu
Yaodong Zhou
Lu Li
Jian Zhou
Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope
Applied Sciences
slope stability
factor of safety
support vector regression
whale optimization algorithm
Harris hawks optimization
title Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope
title_full Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope
title_fullStr Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope
title_full_unstemmed Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope
title_short Performance Evaluation of Hybrid WOA-SVR and HHO-SVR Models with Various Kernels to Predict Factor of Safety for Circular Failure Slope
title_sort performance evaluation of hybrid woa svr and hho svr models with various kernels to predict factor of safety for circular failure slope
topic slope stability
factor of safety
support vector regression
whale optimization algorithm
Harris hawks optimization
url https://www.mdpi.com/2076-3417/11/4/1922
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