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Stability analysis and prediction of hazardous rock mass in cold regions based on hybrid algorithm model
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  • Published: 05 January 2026

Stability analysis and prediction of hazardous rock mass in cold regions based on hybrid algorithm model

  • Xiaoxue Liu1,2,
  • Qian Liu1,2,
  • He Guo1,2 &
  • …
  • Jinsheng Sun1,2 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Mathematics and computing
  • Natural hazards
  • Solid Earth sciences

Abstract

In the complex geological environments of cold regions, traditional methods struggle to address the multifactorial coupling and nonlinear dynamic evolution of hazardous rock mass driven by freeze‒thaw cycles. To overcome these challenges, this study investigates the applicability and optimization of intelligent prediction models tailored to cold regions. A long-term stability prediction framework is constructed by integrating the freeze–thaw–gravity coupling mechanism mechanism. Unlike generic hybrid models, this research systematically compares and optimizes various metaheuristic algorithms (SSA, PSO, GA) coupled with neural networks to identify an effective strategy for the high-dimensional, nonlinear characteristics of rock mass in these regions. Focusing on hazardous rock mass in western China, six primary influencing factors—cohesion, freezing depth, lowest temperature, freezing load, sunshine duration, and foot of slope displacement—were selected on the basis of the typical freeze–thaw–gravity coupling mechanism damage mechanism. Key control parameters were identified via gray relational analysis (GRA), and data normalization was applied to enhance model generalizability. The evaluation results demonstrate that hybrid algorithm models outperform traditional single-algorithm models for the investigated cases, with improved prediction accuracy and adaptability under freeze-thaw-dominated conditions. Specifically, the SSA-BP model reduced the root mean square error (RMSE) by approximately 30% compared with the standalone BP model, whereas the mean absolute error (MAE) and mean squared error (MSE) decreased by 28% and 35%, respectively, and achieved a goodness-of-fit with measured data exceeding 90%. Moreover, the PSO-BP model improved computational efficiency by approximately 40% while maintaining prediction accuracy, rendering it suitable for real-time monitoring and rapid warning scenarios. These findings indicate that hybrid algorithm models partially alleviate the limitations of single models—such as poor generalizability and susceptibility to local optima—by incorporating global optimization mechanisms and adaptive parameter adjustment, thereby demonstrating improved robustness and potential engineering-oriented applicability.

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If someone wants to request the data from this study, please contact the author Xiaoxue Liu.

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Funding

This research acknowledges the financial support provided by the Special Research Project of the Key Laboratory of Prefabricated Building and Intelligent Construction (Grant NO. PT2025KJT001).

Author information

Authors and Affiliations

  1. School of Energy and Architectural Engineering, Shandong Huayu University of Technology, Dezhou, 253034, China

    Xiaoxue Liu, Qian Liu, He Guo & Jinsheng Sun

  2. Key Laboratory of Prefabricated Building and Intelligent Construction, Shandong Huayu University of Technology, Dezhou, 253034, China

    Xiaoxue Liu, Qian Liu, He Guo & Jinsheng Sun

Authors
  1. Xiaoxue Liu
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  2. Qian Liu
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  3. He Guo
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  4. Jinsheng Sun
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Contributions

Xiaoxue Liu: Writing-original draft, Administration. Qian Liu: Writing-review & editing, Data curation, Investigation, Funding acquisition. He Guo : Data curation, Methodology. Jinsheng Sun : Data curation, Administration.

Corresponding author

Correspondence to Xiaoxue Liu.

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The authors declare no competing interests.

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Cite this article

Liu, X., Liu, Q., Guo, H. et al. Stability analysis and prediction of hazardous rock mass in cold regions based on hybrid algorithm model. Sci Rep (2026). https://doi.org/10.1038/s41598-025-34840-4

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  • Received: 02 December 2025

  • Accepted: 31 December 2025

  • Published: 05 January 2026

  • DOI: https://doi.org/10.1038/s41598-025-34840-4

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Keywords

  • Hazardous rock mass in cold regions
  • Stability analysis
  • Predictive model
  • Hybrid algorithm
  • Error analysis
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