Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm

Stope structural parameters are of great significance for the safe production of mines. To efficiently and safely mine steeply dipping ultra-thick ore bodies, the K. Kegel strength design formula and limit analysis method were used to calculate a reasonable range of stope parameters. Considering the...

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Main Authors: Han Du, Xuefeng Li, Xuxing Huang, Yihao Yang, Shanda Duan, Tianlong Su, Xuzhao Yuan
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/14/24/11597
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author Han Du
Xuefeng Li
Xuxing Huang
Yihao Yang
Shanda Duan
Tianlong Su
Xuzhao Yuan
author_facet Han Du
Xuefeng Li
Xuxing Huang
Yihao Yang
Shanda Duan
Tianlong Su
Xuzhao Yuan
author_sort Han Du
collection DOAJ
description Stope structural parameters are of great significance for the safe production of mines. To efficiently and safely mine steeply dipping ultra-thick ore bodies, the K. Kegel strength design formula and limit analysis method were used to calculate a reasonable range of stope parameters. Considering the actual mining conditions, the mechanical responses under different structural parameters were obtained through numerical simulations based on a central composite experimental design. A regression model for maximum tensile stress, maximum compressive stress, and maximum vertical displacement was established using the second-order response surface method. The regression model was then used as the objective function, and multi-objective optimization was performed using a simulated annealing algorithm to obtain the Pareto optimal solution set. Based on practical engineering needs, a stope span of 15.0 m, a pillar width of 10.0 m, and a roof thickness of 11.9 m were determined as the optimal structural parameters, achieving a balance between safety and economic efficiency.
format Article
id doaj-art-e1c34434c2274aa482530f1e0da06266
institution DOAJ
issn 2076-3417
language English
publishDate 2024-12-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj-art-e1c34434c2274aa482530f1e0da062662025-08-20T02:55:39ZengMDPI AGApplied Sciences2076-34172024-12-0114241159710.3390/app142411597Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing AlgorithmHan Du0Xuefeng Li1Xuxing Huang2Yihao Yang3Shanda Duan4Tianlong Su5Xuzhao Yuan6School of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaSchool of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaSchool of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaSchool of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaSchool of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaSchool of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaSchool of Resources, Environment and Materials, Guangxi University, Nanning 530004, ChinaStope structural parameters are of great significance for the safe production of mines. To efficiently and safely mine steeply dipping ultra-thick ore bodies, the K. Kegel strength design formula and limit analysis method were used to calculate a reasonable range of stope parameters. Considering the actual mining conditions, the mechanical responses under different structural parameters were obtained through numerical simulations based on a central composite experimental design. A regression model for maximum tensile stress, maximum compressive stress, and maximum vertical displacement was established using the second-order response surface method. The regression model was then used as the objective function, and multi-objective optimization was performed using a simulated annealing algorithm to obtain the Pareto optimal solution set. Based on practical engineering needs, a stope span of 15.0 m, a pillar width of 10.0 m, and a roof thickness of 11.9 m were determined as the optimal structural parameters, achieving a balance between safety and economic efficiency.https://www.mdpi.com/2076-3417/14/24/11597stope stabilitymulti-objective optimizationresponse surface methodsimulated annealing algorithmnumerical simulation analysis
spellingShingle Han Du
Xuefeng Li
Xuxing Huang
Yihao Yang
Shanda Duan
Tianlong Su
Xuzhao Yuan
Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm
Applied Sciences
stope stability
multi-objective optimization
response surface method
simulated annealing algorithm
numerical simulation analysis
title Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm
title_full Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm
title_fullStr Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm
title_full_unstemmed Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm
title_short Optimization of Stope Structural Parameters for Steeply Dipping Thick Ore Bodies: Based on the Simulated Annealing Algorithm
title_sort optimization of stope structural parameters for steeply dipping thick ore bodies based on the simulated annealing algorithm
topic stope stability
multi-objective optimization
response surface method
simulated annealing algorithm
numerical simulation analysis
url https://www.mdpi.com/2076-3417/14/24/11597
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AT xuefengli optimizationofstopestructuralparametersforsteeplydippingthickorebodiesbasedonthesimulatedannealingalgorithm
AT xuxinghuang optimizationofstopestructuralparametersforsteeplydippingthickorebodiesbasedonthesimulatedannealingalgorithm
AT yihaoyang optimizationofstopestructuralparametersforsteeplydippingthickorebodiesbasedonthesimulatedannealingalgorithm
AT shandaduan optimizationofstopestructuralparametersforsteeplydippingthickorebodiesbasedonthesimulatedannealingalgorithm
AT tianlongsu optimizationofstopestructuralparametersforsteeplydippingthickorebodiesbasedonthesimulatedannealingalgorithm
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