The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model

Semko Arefpanah; Alireza Sharafi; Fatemeh Salehi

doi:doi:10.11648/j.jccee.20220704.13

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The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model

Semko Arefpanah, Alireza Sharafi, Fatemeh Salehi

Published in Journal of Civil, Construction and Environmental Engineering (Volume 7, Issue 4)

Received: 9 March 2022 Accepted: 25 March 2022 Published: 13 July 2022

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Abstract

The complexity of geotechnical engineerings such as slopes and Embankment is reflected not only in the change of various geotechnical parameters but also in the implicit, non-analytical, and even unverifiable nature of its functional models. Due to this feature, an example of a slope limit equilibrium model in algorithm development with an easy application for direct solution of slope engineering stability and reliability is investigated in this paper. First, the slope limit equilibrium model will be called to obtain a suitable example of the basic rock and soil parameters and the corresponding slope stability coefficient; Then, the anisotropic correlation mapping method of the Kriging model is used in ground statistics to express the value of slope performance function as a random process and process control variables are determined through samples, then Monte Carlo simulation and active learning methods together are combined. The test specimens are set according to the search rules and determine the most probable region of rupture on the slope where the slope function represented by the random process is obtained through an iterative loop, finally, the random process function is used to obtain the probability of slope rupture through simple and direct calculation in this field. Engineering analysis and calculation results show that the accuracy of this method is equivalent to the Monte Carlo simulation method, but the calculation process is simpler and has a lower and more economical calculation cost.

Published in	Journal of Civil, Construction and Environmental Engineering (Volume 7, Issue 4)
DOI	10.11648/j.jccee.20220704.13
Page(s)	63-72
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Slope Stability, Random Process Kriging Model, Monte Carlo Method, Active Review

References

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APA Style

Semko Arefpanah, Alireza Sharafi, Fatemeh Salehi. (2022). The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model. Journal of Civil, Construction and Environmental Engineering, 7(4), 63-72. https://doi.org/10.11648/j.jccee.20220704.13

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ACS Style

Semko Arefpanah; Alireza Sharafi; Fatemeh Salehi. The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model. J. Civ. Constr. Environ. Eng. 2022, 7(4), 63-72. doi: 10.11648/j.jccee.20220704.13

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AMA Style

Semko Arefpanah, Alireza Sharafi, Fatemeh Salehi. The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model. J Civ Constr Environ Eng. 2022;7(4):63-72. doi: 10.11648/j.jccee.20220704.13

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@article{10.11648/j.jccee.20220704.13,
  author = {Semko Arefpanah and Alireza Sharafi and Fatemeh Salehi},
  title = {The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model},
  journal = {Journal of Civil, Construction and Environmental Engineering},
  volume = {7},
  number = {4},
  pages = {63-72},
  doi = {10.11648/j.jccee.20220704.13},
  url = {https://doi.org/10.11648/j.jccee.20220704.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jccee.20220704.13},
  abstract = {The complexity of geotechnical engineerings such as slopes and Embankment is reflected not only in the change of various geotechnical parameters but also in the implicit, non-analytical, and even unverifiable nature of its functional models. Due to this feature, an example of a slope limit equilibrium model in algorithm development with an easy application for direct solution of slope engineering stability and reliability is investigated in this paper. First, the slope limit equilibrium model will be called to obtain a suitable example of the basic rock and soil parameters and the corresponding slope stability coefficient; Then, the anisotropic correlation mapping method of the Kriging model is used in ground statistics to express the value of slope performance function as a random process and process control variables are determined through samples, then Monte Carlo simulation and active learning methods together are combined. The test specimens are set according to the search rules and determine the most probable region of rupture on the slope where the slope function represented by the random process is obtained through an iterative loop, finally, the random process function is used to obtain the probability of slope rupture through simple and direct calculation in this field. Engineering analysis and calculation results show that the accuracy of this method is equivalent to the Monte Carlo simulation method, but the calculation process is simpler and has a lower and more economical calculation cost.},
 year = {2022}
}

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TY  - JOUR
T1  - The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model
AU  - Semko Arefpanah
AU  - Alireza Sharafi
AU  - Fatemeh Salehi
Y1  - 2022/07/13
PY  - 2022
N1  - https://doi.org/10.11648/j.jccee.20220704.13
DO  - 10.11648/j.jccee.20220704.13
T2  - Journal of Civil, Construction and Environmental Engineering
JF  - Journal of Civil, Construction and Environmental Engineering
JO  - Journal of Civil, Construction and Environmental Engineering
SP  - 63
EP  - 72
PB  - Science Publishing Group
SN  - 2637-3890
UR  - https://doi.org/10.11648/j.jccee.20220704.13
AB  - The complexity of geotechnical engineerings such as slopes and Embankment is reflected not only in the change of various geotechnical parameters but also in the implicit, non-analytical, and even unverifiable nature of its functional models. Due to this feature, an example of a slope limit equilibrium model in algorithm development with an easy application for direct solution of slope engineering stability and reliability is investigated in this paper. First, the slope limit equilibrium model will be called to obtain a suitable example of the basic rock and soil parameters and the corresponding slope stability coefficient; Then, the anisotropic correlation mapping method of the Kriging model is used in ground statistics to express the value of slope performance function as a random process and process control variables are determined through samples, then Monte Carlo simulation and active learning methods together are combined. The test specimens are set according to the search rules and determine the most probable region of rupture on the slope where the slope function represented by the random process is obtained through an iterative loop, finally, the random process function is used to obtain the probability of slope rupture through simple and direct calculation in this field. Engineering analysis and calculation results show that the accuracy of this method is equivalent to the Monte Carlo simulation method, but the calculation process is simpler and has a lower and more economical calculation cost.
VL  - 7
IS  - 4
ER  -

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Author Information

Semko Arefpanah

Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Alireza Sharafi

Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Fatemeh Salehi

Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

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Plain Text BibTeX RIS

APA Style

Semko Arefpanah, Alireza Sharafi, Fatemeh Salehi. (2022). The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model. Journal of Civil, Construction and Environmental Engineering, 7(4), 63-72. https://doi.org/10.11648/j.jccee.20220704.13

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ACS Style

Semko Arefpanah; Alireza Sharafi; Fatemeh Salehi. The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model. J. Civ. Constr. Environ. Eng. 2022, 7(4), 63-72. doi: 10.11648/j.jccee.20220704.13

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AMA Style

Semko Arefpanah, Alireza Sharafi, Fatemeh Salehi. The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model. J Civ Constr Environ Eng. 2022;7(4):63-72. doi: 10.11648/j.jccee.20220704.13

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@article{10.11648/j.jccee.20220704.13,
  author = {Semko Arefpanah and Alireza Sharafi and Fatemeh Salehi},
  title = {The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model},
  journal = {Journal of Civil, Construction and Environmental Engineering},
  volume = {7},
  number = {4},
  pages = {63-72},
  doi = {10.11648/j.jccee.20220704.13},
  url = {https://doi.org/10.11648/j.jccee.20220704.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jccee.20220704.13},
  abstract = {The complexity of geotechnical engineerings such as slopes and Embankment is reflected not only in the change of various geotechnical parameters but also in the implicit, non-analytical, and even unverifiable nature of its functional models. Due to this feature, an example of a slope limit equilibrium model in algorithm development with an easy application for direct solution of slope engineering stability and reliability is investigated in this paper. First, the slope limit equilibrium model will be called to obtain a suitable example of the basic rock and soil parameters and the corresponding slope stability coefficient; Then, the anisotropic correlation mapping method of the Kriging model is used in ground statistics to express the value of slope performance function as a random process and process control variables are determined through samples, then Monte Carlo simulation and active learning methods together are combined. The test specimens are set according to the search rules and determine the most probable region of rupture on the slope where the slope function represented by the random process is obtained through an iterative loop, finally, the random process function is used to obtain the probability of slope rupture through simple and direct calculation in this field. Engineering analysis and calculation results show that the accuracy of this method is equivalent to the Monte Carlo simulation method, but the calculation process is simpler and has a lower and more economical calculation cost.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - The Soil Slope Stability in Failure with the Use of the Random Process Based on the Kriging’s Interpolation Model
AU  - Semko Arefpanah
AU  - Alireza Sharafi
AU  - Fatemeh Salehi
Y1  - 2022/07/13
PY  - 2022
N1  - https://doi.org/10.11648/j.jccee.20220704.13
DO  - 10.11648/j.jccee.20220704.13
T2  - Journal of Civil, Construction and Environmental Engineering
JF  - Journal of Civil, Construction and Environmental Engineering
JO  - Journal of Civil, Construction and Environmental Engineering
SP  - 63
EP  - 72
PB  - Science Publishing Group
SN  - 2637-3890
UR  - https://doi.org/10.11648/j.jccee.20220704.13
AB  - The complexity of geotechnical engineerings such as slopes and Embankment is reflected not only in the change of various geotechnical parameters but also in the implicit, non-analytical, and even unverifiable nature of its functional models. Due to this feature, an example of a slope limit equilibrium model in algorithm development with an easy application for direct solution of slope engineering stability and reliability is investigated in this paper. First, the slope limit equilibrium model will be called to obtain a suitable example of the basic rock and soil parameters and the corresponding slope stability coefficient; Then, the anisotropic correlation mapping method of the Kriging model is used in ground statistics to express the value of slope performance function as a random process and process control variables are determined through samples, then Monte Carlo simulation and active learning methods together are combined. The test specimens are set according to the search rules and determine the most probable region of rupture on the slope where the slope function represented by the random process is obtained through an iterative loop, finally, the random process function is used to obtain the probability of slope rupture through simple and direct calculation in this field. Engineering analysis and calculation results show that the accuracy of this method is equivalent to the Monte Carlo simulation method, but the calculation process is simpler and has a lower and more economical calculation cost.
VL  - 7
IS  - 4
ER  -

Copy | Download