Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques

Pillar stability is always evaluated using the safety factor (SF), which is defined as the ratio of pillar strength to pillar stress. However, most researchers have estimated pillar stress using the pillar shape ratio (w/h), uniaxial compressive strength (UCS) of the intact rock mass, and pillar dep...

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Main Authors: Chuanqi Li, Jian Zhou, Danial Jahed Armaghani, Xibing Li
Format: Article
Language:English
Published: Elsevier 2021-08-01
Series:Underground Space
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2467967420300441
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spelling doaj-d8c97e1f281041c0896d94ef8c7e03bb2021-07-17T04:34:58ZengElsevierUnderground Space2467-96742021-08-0164379395Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniquesChuanqi Li0Jian Zhou1Danial Jahed Armaghani2Xibing Li3School of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, China; Corresponding author.Department of Civil Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaPillar stability is always evaluated using the safety factor (SF), which is defined as the ratio of pillar strength to pillar stress. However, most researchers have estimated pillar stress using the pillar shape ratio (w/h), uniaxial compressive strength (UCS) of the intact rock mass, and pillar depth (H). In this study, the geological strength index (GSI) of hard rock pillars was considered as a new variable for predictive purposes. This index was developed by combining numerical simulation software (i.e., FLAC3D) and a backpropagation neural network (BPNN). A hard rock pillar stability analysis, based on three methods including deterministic method, sensitivity analysis, and Monte Carlo simulation (MCS), was performed. A new formula was proposed to estimate the SF values based on the predicted stress, considering the GSI variable in the deterministic method. The sensitivity analysis indicated that the variables impacting the SF from high to low are UCS, GSI, w/h, and H. In this study, pillar stability was analyzed mainly using the GSI and MCS techniques. The MCS results revealed that the GSI is also a major factor in pillar stability and has a greater effect on weak pillars than on strong ones. Furthermore, a pillar is more likely to be unstable when both the GSI and the UCS are decreased. This study provides several references and procedures for improving the design of stable pillars considering the GSI as an important factor.http://www.sciencedirect.com/science/article/pii/S2467967420300441Hard rock pillarNumerical simulationNeural networksSafety factorGeological strength indexMonte Carlo simulation
collection DOAJ
language English
format Article
sources DOAJ
author Chuanqi Li
Jian Zhou
Danial Jahed Armaghani
Xibing Li
spellingShingle Chuanqi Li
Jian Zhou
Danial Jahed Armaghani
Xibing Li
Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques
Underground Space
Hard rock pillar
Numerical simulation
Neural networks
Safety factor
Geological strength index
Monte Carlo simulation
author_facet Chuanqi Li
Jian Zhou
Danial Jahed Armaghani
Xibing Li
author_sort Chuanqi Li
title Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques
title_short Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques
title_full Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques
title_fullStr Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques
title_full_unstemmed Stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and Monte Carlo simulation techniques
title_sort stability analysis of underground mine hard rock pillars via combination of finite difference methods, neural networks, and monte carlo simulation techniques
publisher Elsevier
series Underground Space
issn 2467-9674
publishDate 2021-08-01
description Pillar stability is always evaluated using the safety factor (SF), which is defined as the ratio of pillar strength to pillar stress. However, most researchers have estimated pillar stress using the pillar shape ratio (w/h), uniaxial compressive strength (UCS) of the intact rock mass, and pillar depth (H). In this study, the geological strength index (GSI) of hard rock pillars was considered as a new variable for predictive purposes. This index was developed by combining numerical simulation software (i.e., FLAC3D) and a backpropagation neural network (BPNN). A hard rock pillar stability analysis, based on three methods including deterministic method, sensitivity analysis, and Monte Carlo simulation (MCS), was performed. A new formula was proposed to estimate the SF values based on the predicted stress, considering the GSI variable in the deterministic method. The sensitivity analysis indicated that the variables impacting the SF from high to low are UCS, GSI, w/h, and H. In this study, pillar stability was analyzed mainly using the GSI and MCS techniques. The MCS results revealed that the GSI is also a major factor in pillar stability and has a greater effect on weak pillars than on strong ones. Furthermore, a pillar is more likely to be unstable when both the GSI and the UCS are decreased. This study provides several references and procedures for improving the design of stable pillars considering the GSI as an important factor.
topic Hard rock pillar
Numerical simulation
Neural networks
Safety factor
Geological strength index
Monte Carlo simulation
url http://www.sciencedirect.com/science/article/pii/S2467967420300441
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AT jianzhou stabilityanalysisofundergroundminehardrockpillarsviacombinationoffinitedifferencemethodsneuralnetworksandmontecarlosimulationtechniques
AT danialjahedarmaghani stabilityanalysisofundergroundminehardrockpillarsviacombinationoffinitedifferencemethodsneuralnetworksandmontecarlosimulationtechniques
AT xibingli stabilityanalysisofundergroundminehardrockpillarsviacombinationoffinitedifferencemethodsneuralnetworksandmontecarlosimulationtechniques
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