A Spatiotemporal Cluster Analysis and Dynamic Evaluation Model for the Rock Mass Instability Risk During Deep Mining of Metal Mine

With the increasing depth of mining operations, accurate identification and assessment of rock mass instability risks are crucial for ensuring mine safety. This study proposes an integrated framework combining the Hierarchical Density-Based Spatial Clustering of Applications with Noise (HDBSCAN), fuzzy comprehensive evaluation (FCE) and kernel density estimation (KDE) for the identification and dynamic assessment of high-risk zones in deep mining. Using microseismic monitoring data from a lead–zinc mine in Northwest China (January–June 2023), the HDBSCAN algorithm adaptively identified 86 high-density clusters from 11,638 events. The weights of five evaluation indicators (moment magnitude, apparent stress, stress drop, peak ground acceleration, and ringing count) were determined objectively using the Euclidean distance method. FCE was then applied to classify cluster risk levels, revealing that 70.9% of the clusters were rated as high-risk (Level IV). KDE further illustrated the spatiotemporal migration of high-risk zones, showing a systematic shift from northeast to southwest along stopes and roadways, driven by mining unloading and geological structures. The integrated HDBSCAN-FCE-KDE framework demonstrates strong applicability and reliability in identifying and predicting rock mass instability risks, providing a scientific basis for proactive risk management in deep mining environments.

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Publication Details

Journal
Mathematics
Published
2026-04-10
DOI
https://doi.org/10.3390/math14081261
Primary Topic
Rock Mechanics and Modeling
Type
article
Field-Weighted Citation Impact
0.00

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article

A Spatiotemporal Cluster Analysis and Dynamic Evaluation Model for the Rock Mass Instability Risk During Deep Mining of Metal Mine

Yuting Bian, Fang Yan
Mathematics
Rock Mechanics and Modeling
article

A Spatiotemporal Cluster Analysis and Dynamic Evaluation Model for the Rock Mass Instability Risk During Deep Mining of Metal Mine

Yuting Bian, Fang Yan
article en

Abstract

With the increasing depth of mining operations, accurate identification and assessment of rock mass instability risks are crucial for ensuring mine safety. This study proposes an integrated framework combining the Hierarchical Density-Based Spatial Clustering of Applications with Noise (HDBSCAN), fuzzy comprehensive evaluation (FCE) and kernel density estimation (KDE) for the identification and dynamic assessment of high-risk zones in deep mining. Using microseismic monitoring data from a lead–zinc mine in Northwest China (January–June 2023), the HDBSCAN algorithm adaptively identified 86 high-density clusters from 11,638 events. The weights of five evaluation indicators (moment magnitude, apparent stress, stress drop, peak ground acceleration, and ringing count) were determined objectively using the Euclidean distance method. FCE was then applied to classify cluster risk levels, revealing that 70.9% of the clusters were rated as high-risk (Level IV). KDE further illustrated the spatiotemporal migration of high-risk zones, showing a systematic shift from northeast to southwest along stopes and roadways, driven by mining unloading and geological structures. The integrated HDBSCAN-FCE-KDE framework demonstrates strong applicability and reliability in identifying and predicting rock mass instability risks, providing a scientific basis for proactive risk management in deep mining environments.

MathematicsVol. 14(8)
Central South University (CN)
National Natural Science Foundation of China, National Science and Technology Major Project
Openalex Percentile: Top 27%
Rock Mechanics and Modeling
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A Spatiotemporal Cluster Analysis and Dynamic Evaluation Model for the Rock Mass Instability Risk During Deep Mining of Metal Mine — Yuting Bian, Fang Yan · Mathematics (2026) | TGRS Research Map | TGRS