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

Boyang Zhang , Xiancheng Wang , Fei Ding , Liyuan Yu , Luyuan Wu , Shuai Zhao , Yingkang Weng , Zhaoyang Feng

International Journal of Minerals, Metallurgy and Materials ›› 2026, Vol. 33 ›› Issue (7) : 2437 -2453.

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International Journal of Minerals, Metallurgy and Materials ›› 2026, Vol. 33 ›› Issue (7) :2437 -2453. DOI: 10.1007/s12613-025-3360-y
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Prediction model for indoor rock compression failure time based on ensemble learning and optimization algorithms
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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.

Keywords

rock failure / strain increment / failure time / ensemble learning / SHapley Additive exPlanations interpretation

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Boyang Zhang, Xiancheng Wang, Fei Ding, Liyuan Yu, Luyuan Wu, Shuai Zhao, Yingkang Weng, Zhaoyang Feng. Prediction model for indoor rock compression failure time based on ensemble learning and optimization algorithms. International Journal of Minerals, Metallurgy and Materials, 2026, 33 (7) : 2437-2453 DOI:10.1007/s12613-025-3360-y

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