Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure

The early warning of disasters such as ground pressure in deep hard rock mines has long constrained the safe and efficient development of mining activities. Based on fractal theory and fractal dimension interpretation, this study constructs a microseismic monitoring system for mining areas, extracti...

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Main Authors: Congcong Zhao, Shigen Fu, Zhen Wang, Mingbo Chi, Yinghua Huang
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/9/3/174
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author Congcong Zhao
Shigen Fu
Zhen Wang
Mingbo Chi
Yinghua Huang
author_facet Congcong Zhao
Shigen Fu
Zhen Wang
Mingbo Chi
Yinghua Huang
author_sort Congcong Zhao
collection DOAJ
description The early warning of disasters such as ground pressure in deep hard rock mines has long constrained the safe and efficient development of mining activities. Based on fractal theory and fractal dimension interpretation, this study constructs a microseismic monitoring system for mining areas, extracting key elements, particularly time and energy elements. Using the box-counting method of fractal theory, the study investigates the fractal dimensions of microseismic time–energy elements, data interpretation, and disaster source early warning. Through parameter analysis, events related to local potential failure are identified and extracted, and disaster characteristics are revealed based on microseismic activity. A time–energy fractal dimension-based analysis method is developed for preliminary fractal analysis and prediction of regional damage. A time–energy-centered early warning model is constructed, narrowing the prediction range to a scale of 10 m. Based on the fractal interpretation of time–energy data, the prediction and early warning of rock mass failure in mining areas are achieved, with the reliability of nested energy warnings ranging between 91.7% and 96.2%. A comprehensive evaluation criterion for fractal dimension values is established, enabling accurate delineation of warning zones and providing scientific decision-making support for mine safety promotion.
format Article
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institution Kabale University
issn 2504-3110
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series Fractal and Fractional
spelling doaj-art-32463b2193a24658ab2de756cddba6f52025-08-20T03:43:27ZengMDPI AGFractal and Fractional2504-31102025-03-019317410.3390/fractalfract9030174Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass FailureCongcong Zhao0Shigen Fu1Zhen Wang2Mingbo Chi3Yinghua Huang4School of Resources and Safety Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaChina Academy of Safety Science and Technology, Beijing 100012, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaChina Academy of Safety Science and Technology, Beijing 100012, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaThe early warning of disasters such as ground pressure in deep hard rock mines has long constrained the safe and efficient development of mining activities. Based on fractal theory and fractal dimension interpretation, this study constructs a microseismic monitoring system for mining areas, extracting key elements, particularly time and energy elements. Using the box-counting method of fractal theory, the study investigates the fractal dimensions of microseismic time–energy elements, data interpretation, and disaster source early warning. Through parameter analysis, events related to local potential failure are identified and extracted, and disaster characteristics are revealed based on microseismic activity. A time–energy fractal dimension-based analysis method is developed for preliminary fractal analysis and prediction of regional damage. A time–energy-centered early warning model is constructed, narrowing the prediction range to a scale of 10 m. Based on the fractal interpretation of time–energy data, the prediction and early warning of rock mass failure in mining areas are achieved, with the reliability of nested energy warnings ranging between 91.7% and 96.2%. A comprehensive evaluation criterion for fractal dimension values is established, enabling accurate delineation of warning zones and providing scientific decision-making support for mine safety promotion.https://www.mdpi.com/2504-3110/9/3/174rock mechanicsfractal theorymicroseismic monitoringtime and energy factorsregional rock mass failuredisaster warning
spellingShingle Congcong Zhao
Shigen Fu
Zhen Wang
Mingbo Chi
Yinghua Huang
Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure
Fractal and Fractional
rock mechanics
fractal theory
microseismic monitoring
time and energy factors
regional rock mass failure
disaster warning
title Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure
title_full Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure
title_fullStr Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure
title_full_unstemmed Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure
title_short Fractal Dimension Warning via Microseismic Time–Energy Data During Rock Mass Failure
title_sort fractal dimension warning via microseismic time energy data during rock mass failure
topic rock mechanics
fractal theory
microseismic monitoring
time and energy factors
regional rock mass failure
disaster warning
url https://www.mdpi.com/2504-3110/9/3/174
work_keys_str_mv AT congcongzhao fractaldimensionwarningviamicroseismictimeenergydataduringrockmassfailure
AT shigenfu fractaldimensionwarningviamicroseismictimeenergydataduringrockmassfailure
AT zhenwang fractaldimensionwarningviamicroseismictimeenergydataduringrockmassfailure
AT mingbochi fractaldimensionwarningviamicroseismictimeenergydataduringrockmassfailure
AT yinghuahuang fractaldimensionwarningviamicroseismictimeenergydataduringrockmassfailure