CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay

The undrained shear strength of clay is an important index for the calculation of the bearing capacity of the foundation soil, the calculation of the soil pressure of the foundation pit, and the analysis of the slope stability. Therefore, the purpose of this paper is to conduct a comprehensive study...

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Main Authors: Huajian Yang, Zhikui Liu, Yuantao Li, Haixia Wei, Nengsheng Huang
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/9/5418
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author Huajian Yang
Zhikui Liu
Yuantao Li
Haixia Wei
Nengsheng Huang
author_facet Huajian Yang
Zhikui Liu
Yuantao Li
Haixia Wei
Nengsheng Huang
author_sort Huajian Yang
collection DOAJ
description The undrained shear strength of clay is an important index for the calculation of the bearing capacity of the foundation soil, the calculation of the soil pressure of the foundation pit, and the analysis of the slope stability. Therefore, the purpose of this paper is to conduct a comprehensive study of the combined use of machine learning with clay theoretical equations to estimate it. Under the Bayesian framework, the CatBoost algorithm (CatBoost–Bayesian) based on Bayesian optimization algorithm was developed to obtain the feature importance level of soil parameters affecting the undrained shear strength of clay, so as to adaptively couple the theoretical equation of undrained shear strength of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>K</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> consolidated clay, which was derived from the modified Cambridge model. Then, the theoretical equation of undrained shear strength of the isotropically consolidated clay was established from the critical state of the clay parameters. Finally, it was illustrated and verified using the experimental samples of Finnish clay. The results indicate that the theoretical equation established by the overconsolidation ratio and effective overburden pressure parameters can well estimate the undrained shear strength of isotropically consolidated clays, and the parameter uncertainty can be considered explicitly and rigorously.
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spelling doaj.art-b5ee208f9d5549b0ac4183a2b6cf68cf2023-11-17T22:33:42ZengMDPI AGApplied Sciences2076-34172023-04-01139541810.3390/app13095418CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of ClayHuajian Yang0Zhikui Liu1Yuantao Li2Haixia Wei3Nengsheng Huang4Department of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, ChinaDepartment of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, ChinaDepartment of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, ChinaDepartment of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, ChinaDepartment of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, ChinaThe undrained shear strength of clay is an important index for the calculation of the bearing capacity of the foundation soil, the calculation of the soil pressure of the foundation pit, and the analysis of the slope stability. Therefore, the purpose of this paper is to conduct a comprehensive study of the combined use of machine learning with clay theoretical equations to estimate it. Under the Bayesian framework, the CatBoost algorithm (CatBoost–Bayesian) based on Bayesian optimization algorithm was developed to obtain the feature importance level of soil parameters affecting the undrained shear strength of clay, so as to adaptively couple the theoretical equation of undrained shear strength of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>K</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> consolidated clay, which was derived from the modified Cambridge model. Then, the theoretical equation of undrained shear strength of the isotropically consolidated clay was established from the critical state of the clay parameters. Finally, it was illustrated and verified using the experimental samples of Finnish clay. The results indicate that the theoretical equation established by the overconsolidation ratio and effective overburden pressure parameters can well estimate the undrained shear strength of isotropically consolidated clays, and the parameter uncertainty can be considered explicitly and rigorously.https://www.mdpi.com/2076-3417/13/9/5418clayundrained shear strengthCatBoost–Bayesianoverconsolidation ratioeffective overburden pressure
spellingShingle Huajian Yang
Zhikui Liu
Yuantao Li
Haixia Wei
Nengsheng Huang
CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay
Applied Sciences
clay
undrained shear strength
CatBoost–Bayesian
overconsolidation ratio
effective overburden pressure
title CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay
title_full CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay
title_fullStr CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay
title_full_unstemmed CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay
title_short CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay
title_sort catboost bayesian hybrid model adaptively coupled with modified theoretical equations for estimating the undrained shear strength of clay
topic clay
undrained shear strength
CatBoost–Bayesian
overconsolidation ratio
effective overburden pressure
url https://www.mdpi.com/2076-3417/13/9/5418
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AT yuantaoli catboostbayesianhybridmodeladaptivelycoupledwithmodifiedtheoreticalequationsforestimatingtheundrainedshearstrengthofclay
AT haixiawei catboostbayesianhybridmodeladaptivelycoupledwithmodifiedtheoreticalequationsforestimatingtheundrainedshearstrengthofclay
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