Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine

Abstract Accurately locating the weak links in chamber group is crucial for achieving targeted and directional control for its surrounding rock. In this paper, the topological structure of the chamber group was first established, which divided the chambers into important chambers and general chamber...

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Main Authors: Deyuan Fan, Xuesheng Liu, Yunliang Tan, Xuebin Li, Shenglong Yang
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-06216-1
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author Deyuan Fan
Xuesheng Liu
Yunliang Tan
Xuebin Li
Shenglong Yang
author_facet Deyuan Fan
Xuesheng Liu
Yunliang Tan
Xuebin Li
Shenglong Yang
author_sort Deyuan Fan
collection DOAJ
description Abstract Accurately locating the weak links in chamber group is crucial for achieving targeted and directional control for its surrounding rock. In this paper, the topological structure of the chamber group was first established, which divided the chambers into important chambers and general chambers. The chain instability inertia I was defined as the ratio of important chambers m to all chambers n, which can reflect the difficulty of chain instability for chamber group. On this basis, two-chamber, three-chamber, and four-chamber group were analyzed respectively, the topological structure evolution of chamber group were revealed. The concept of structural importance was introduced, which was used to quantitatively characterize the influence of micro-state of each chamber on macro-state of chamber group. Finally, a method of key chambers identification was proposed. When I = 0, there are no key chambers; when I = 1/n, the important chamber is the key chamber; and when I > m/n, chamber with the maximum key coefficient is the key chamber. Moreover, key chambers identification should follow four principles of structure, diversity, dynamic and priority. This research established a quantitative and effective framework for the stability control of chamber group.
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spelling doaj-art-aa061bb3ecee4b37b02120934a9ee0742025-08-20T03:38:16ZengNature PortfolioScientific Reports2045-23222025-07-0115111410.1038/s41598-025-06216-1Structural importance analysis and key chambers identification for chain instability of chamber group in coal mineDeyuan Fan0Xuesheng Liu1Yunliang Tan2Xuebin Li3Shenglong Yang4College of Energy and Mining Engineering, Shandong University of Science and TechnologyCollege of Energy and Mining Engineering, Shandong University of Science and TechnologyCollege of Energy and Mining Engineering, Shandong University of Science and TechnologyCollege of Energy and Mining Engineering, Shandong University of Science and TechnologyCollege of Energy and Mining Engineering, Shandong University of Science and TechnologyAbstract Accurately locating the weak links in chamber group is crucial for achieving targeted and directional control for its surrounding rock. In this paper, the topological structure of the chamber group was first established, which divided the chambers into important chambers and general chambers. The chain instability inertia I was defined as the ratio of important chambers m to all chambers n, which can reflect the difficulty of chain instability for chamber group. On this basis, two-chamber, three-chamber, and four-chamber group were analyzed respectively, the topological structure evolution of chamber group were revealed. The concept of structural importance was introduced, which was used to quantitatively characterize the influence of micro-state of each chamber on macro-state of chamber group. Finally, a method of key chambers identification was proposed. When I = 0, there are no key chambers; when I = 1/n, the important chamber is the key chamber; and when I > m/n, chamber with the maximum key coefficient is the key chamber. Moreover, key chambers identification should follow four principles of structure, diversity, dynamic and priority. This research established a quantitative and effective framework for the stability control of chamber group.https://doi.org/10.1038/s41598-025-06216-1Chamber groupChain instabilityTopological structureStructural importanceKey chamber
spellingShingle Deyuan Fan
Xuesheng Liu
Yunliang Tan
Xuebin Li
Shenglong Yang
Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
Scientific Reports
Chamber group
Chain instability
Topological structure
Structural importance
Key chamber
title Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
title_full Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
title_fullStr Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
title_full_unstemmed Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
title_short Structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
title_sort structural importance analysis and key chambers identification for chain instability of chamber group in coal mine
topic Chamber group
Chain instability
Topological structure
Structural importance
Key chamber
url https://doi.org/10.1038/s41598-025-06216-1
work_keys_str_mv AT deyuanfan structuralimportanceanalysisandkeychambersidentificationforchaininstabilityofchambergroupincoalmine
AT xueshengliu structuralimportanceanalysisandkeychambersidentificationforchaininstabilityofchambergroupincoalmine
AT yunliangtan structuralimportanceanalysisandkeychambersidentificationforchaininstabilityofchambergroupincoalmine
AT xuebinli structuralimportanceanalysisandkeychambersidentificationforchaininstabilityofchambergroupincoalmine
AT shenglongyang structuralimportanceanalysisandkeychambersidentificationforchaininstabilityofchambergroupincoalmine