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Boyang Zhang, Xiancheng Wang, Fei Ding, Liyuan Yu, Luyuan Wu, Shuai Zhao, Yingkang Weng, and Zhaoyang Feng, Prediction model for indoor rock compression failure time based on ensemble learning and optimization algorithms, Int. J. Miner. Metall. Mater., (2026). https://doi.org/10.1007/s12613-025-3360-y
Boyang Zhang, Xiancheng Wang, Fei Ding, Liyuan Yu, Luyuan Wu, Shuai Zhao, Yingkang Weng, and Zhaoyang Feng, Prediction model for indoor rock compression failure time based on ensemble learning and optimization algorithms, Int. J. Miner. Metall. Mater., (2026). https://doi.org/10.1007/s12613-025-3360-y
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基于集成学习与优化算法的室内岩石压缩破坏时间预测模型

摘要: 岩石失稳破坏预测是解决矿山边坡稳定、岩爆等采矿安全问题的核心基础研究。传统方法泛化能力有限、计算流程复杂,难以完整刻画岩石全过程破坏演化规律。为此,本文以轴向应变、弹性模量、密度、试样质量、围压为输入特征,构建 12 种融合集成学习与智能优化算法的预测模型,同步开展岩石峰值应力与破坏时间预测。采用五折交叉验证完成超参数寻优,大幅提升模型泛化能力、鲁棒性与稳定性。 依托岩石力学室内试验构建数据集,测试集设置 0.008‰、0.01‰、0.012‰三组应变增量工况。综合对比后,CV-PSO-XGBoost(交叉验证优化粒子群极限梯度提升) 模型综合性能最优:在应变增量 0.01‰工况下,峰值应力预测决定系数R2 = 0.904,平均绝对误差 MAE = 4.315,均方根误差 RMSE = 5.435;岩石破坏时间预测R2 = 0.811,平均绝对百分比误差 MAPE = 7.842%,平均绝对误差 MAE = 30.343。 最后通过 SHAP(沙普利加和解释法)开展模型可解释性分析,结果表明轴向应变、应力是影响模型预测结果的主控因素;轴向应变与岩石破坏时间呈正向相关规律,与经典岩石破坏理论吻合,验证了该预测模型的可靠性。本研究可为矿山岩层稳定性相关研究提供理论参考。

 

Prediction model for indoor rock compression failure time based on ensemble learning and optimization algorithms

Abstract: The prediction of rock failure, a key fundamental research for addressing mining safety issues (such as mine slope stability and rockburst), faces challenges with traditional methods due to their complex generalization and computational processes that struggle to describe the entire failure process. Consequently, 12 prediction models integrating ensemble learning and optimization algorithms were established to predict rock peak stress and failure time using strain, elastic modulus, density, mass, and confining pressure as inputs. Five-fold cross-validation was used to optimize hyperparameters, significantly improving the model’s generalization ability, robustness, and stability. Dataset was established through rock mechanics experiments, with strain increments configured at 0.008‰, 0.01‰, and 0.012‰ in the test set. The cross-validation optimized particle swarm optimization eXtreme gradient boosting (CV-PSO-XGBoost) model performed best under a strain increment of 0.01‰, and its stress prediction achieved coefficient of determination R2 = 0.904, mean absolute error (MAE) = 4.315, and root mean square error (RMSE) = 5.435; while the failure time prediction demonstrated R2 = 0.811, mean absolute percentage error (MAPE) = 7.842%, and MAE = 30.343. Finally, SHapley Additive exPlanations (SHAP) analysis showed strain and stress significantly impact the model, with strain positively predicting failure time, aligning with traditional rock failure models, validating reliability. This study provides insights into the research on rock strata stability in mining.

 

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