Abstract
Soil-rock mixtures (SRMs) are crucial in assessing foundation bearing capacity and slope stability in mountain substation projects, yet their complex mechanical properties pose significant challenges. Current research primarily focuses on the influence of individual factors on shear strength using the controlled variable method, offering limited insight into the interactions and quantitative analysis of multiple influencing factors. This limitation hinders accurate prediction and effective control of shear strength, complicating post-construction settlement management. To address this challenge, this study introduces an analysis method employing a feedforward neural network (FNN) to evaluate changes in SRM shear strength under the influence of multiple factors. By integrating SRM physical properties with shear strength test data, the method facilitates identification and quantitative analysis of key factors, including moisture content, dry density, void ratio, and the liquid-plastic limits of fillers with varying particle gradations. A correlation model is developed, demonstrating high reliability and predictive accuracy. Among the analyzed factors, moisture content and plastic limit exhibit the most significant influence on SRM shear strength, with importance levels ranging from 23.9% to 32.8%. The primary contribution of this research is the integration of machine learning with traditional geotechnical analysis, offering a practical framework for the identification and evaluation of factors influencing SRM shear strength. The proposed correlation model provides valuable insights into the intrinsic factors governing SRM shear strength variability and offers practical guidance for the design, construction, and operational safety of fill engineering in substations across southwestern China. Moreover, it serves as a useful reference for the quantitative analysis of influencing factors in SRMs for other regions.
Similar content being viewed by others
Data availability
Data will be available from the corresponding author as needed.
References
Hou, X. K., Qi, S. W., Yu, Y. T. & Zheng, J. G. Long-term settlement characterization of high-filling foundation in the mountain excavation and city construction area of the Yan’an New District. China. Journal of Earth Science 34, 1908–1915. https://doi.org/10.1007/s12583-023-1950-x (2023).
Hu, X. et al. Remote Sensing Characterization of Mountain Excavation and City Construction in Loess Plateau. Geophys. Res. Lett. https://doi.org/10.1029/2021gl095230 (2021).
Saadeghvaziri, M. A., Feizi, B., Kempner, L. & Alston, D. On seismic response of substation equipment and application of base isolation to transformers. IEEE Trans. Power Delivery 25, 177–186. https://doi.org/10.1109/tpwrd.2009.2033971 (2010).
Li, G. Y. et al. Freeze-thaw properties and long-term thermal stability of the unprotected tower foundation soils in permafrost regions along the Qinghai-Tibet Power Transmission Line. Cold Reg. Sci. Technol. 121, 258–274. https://doi.org/10.1016/j.coldregions.2015.05.004 (2016).
Xu, P., Zhu, X., Qiao, S. F., Wang, G. & Yu, P. K. Field study of compaction quality control parameters and compaction mechanism of large particle size stone-filled embankment. Rock Mech. Rock Eng. 55, 3687–3702. https://doi.org/10.1007/s00603-022-02811-0 (2022).
Hu, F. Y. et al. fractal analysis on the crushing characteristics of soil-soft rock mixtures under compaction. Fractal and Fractional https://doi.org/10.3390/fractalfract8020090 (2024).
Feng, D., Chen, D. & Liang, S. A macro-micro coupled theoretical model by considering the rotation displacement of rock blocks for predicting the shear strength of soil-rock mixture. Constr. Build. Mater. 449, 138336. https://doi.org/10.1016/j.conbuildmat.2024.138336 (2024).
Qiu, P. Y. et al. Experimental investigations on the shear strength and creep properties of soil-rock mixture under freeze-thaw cycles. Cold Regions Sci. Technol. https://doi.org/10.1016/j.coldregions.2023.104037 (2024).
Wei, H. Z., Xu, W. J., Wei, C. F. & Meng, Q. S. Influence of water content and shear rate on the mechanical behavior of soil-rock mixtures. Science China-Technological Sciences 61, 1127–1136. https://doi.org/10.1007/s11431-017-9277-5 (2018).
Liu, F. Y., Gao, C. B., Xu, J. M. & Yang, J. Cyclic shear behavior and BoBiLSTM-based model for soil-rock mixture-concrete interfaces. Constr. Build. Mater. https://doi.org/10.1016/j.conbuildmat.2024.136031 (2024).
Zhang, Z. P. et al. An approach to predicting the shear strength of soil-rock mixture based on rock block proportion. Bull. Eng. Geol. Env. 79, 2423–2437. https://doi.org/10.1007/s10064-019-01658-0 (2020).
Li, S., Zhou, R., Yang, F., Zhang, Y. & Du, Y. Effect of particle combination ratio of soil rock mixture on shear strength. Journal of physics: conference series. 2202, 012019. https://doi.org/10.1088/1742-6596/2202/1/012019 (2022).
Liu, G., Wang, K. & Xia, Z. T. Experimental study on shear properties and resistivity change of soil-rock mixture. J. Mt. Sci. https://doi.org/10.1007/s11629-024-8911-6 (2024).
Zhang, Y., Lu, J. Y., Han, W., Xiong, Y. W. & Qian, J. S. Effects of moisture and stone content on the shear strength characteristics of soil-rock mixture. Materials https://doi.org/10.3390/ma16020567 (2023).
Qian, J. F., Yao, Y. S., Li, J., Xiao, H. B. & Luo, S. P. Resilient properties of soil-rock mixture materials: preliminary investigation of the effect of composition and structure. Materials https://doi.org/10.3390/ma13071658 (2020).
Tu, Y. L. et al. Comparative analysis on shear mechanical properties of soil- rock mixture under direct shear and simple shear tests. Constr. Build. Mater. https://doi.org/10.1016/j.conbuildmat.2024.137830 (2024).
Yang, Z. P., Li, S. Q., Jiang, Y. W., Hu, Y. X. & Liu, X. R. Shear Mechanical Properties of the Interphase between Soil-Rock Mixtures and Benched Bedrock Slope Surfaces. Int. J.Geomechanics https://doi.org/10.1061/(asce)gm.1943-5622.0002342 (2022).
Wen-Jie, X., Qiang, X. & Rui-Lin, H. Study on the shear strength of soil–rock mixture by large scale direct shear test. Int. J. Rock Mech. Min. Sci. 48, 1235–1247. https://doi.org/10.1016/j.ijrmms.2011.09.018 (2011).
Liu, L., Yang, Y., Mao, X. & Nie, M. Macro-meso shear properties of alluvial-diluvial soil-rock mixture (ADSRM) subgrade fillers based on field investigation and N-method. Case Studies in Construction Materials 17, e01694. https://doi.org/10.1016/j.cscm.2022.e01694 (2022).
Zhong, W. et al. Development of a preparation method of transparent soil-rock mixture for geotechnical laboratory modeling. Eng. Geol. 301, 106622. https://doi.org/10.1016/j.enggeo.2022.106622 (2022).
Li, S. et al. Influencing factors of scale effects in large-scale direct shear tests of soil-rock mixtures based on particle breakage. Transportation Geotechnics 31, 100677. https://doi.org/10.1016/j.trgeo.2021.100677 (2021).
Qiu, Z. et al. Effects of rock content and spatial distribution on the stability of soil rock mixture embankments. Sci. Rep. 14, 29088. https://doi.org/10.1038/s41598-024-80812-5 (2024).
Yao, Y., Li, J., Ni, J., Liang, C. & Zhang, A. Effects of gravel content and shape on shear behaviour of soil-rock mixture: Experiment and DEM modelling. Comput. Geotech. 141, 104476. https://doi.org/10.1016/j.compgeo.2021.104476 (2022).
Fu, X. et al. Fractal analysis of particle distribution and scale effect in a soil-rock mixture. Fractal and Fractional 6, 120 (2022).
Zhao, N., Wang, Y. C., Meng, B. & Luo, N. Numerical Simulation on the Seepage Properties of Soil-Rock Mixture. Advances in Materials Science and Engineering https://doi.org/10.1155/2018/1859319 (2018).
Yang, Z., Li, S., Jiang, Y., Hu, Y. & Liu, X. Shear Mechanical Properties of the Interphase between Soil-Rock Mixtures and Benched Bedrock Slope Surfaces. Int. J. Geomech. 22, 04022047. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002342 (2022).
Ding, Y., Lu, Q., Lu, F. & Li, J. Study on the determination mechanism of the compression wave velocity of soil-rock mixture considering the effect of soil-rock interface. Comput. Geotech. 156, 105300. https://doi.org/10.1016/j.compgeo.2023.105300 (2023).
Sahoo, A. K. & Chakraverty, S. Machine intelligence in dynamical systems: \A state-of-art review. Wiley Interdisciplinary Reviews-Data Mining and Knowledge Discovery https://doi.org/10.1002/widm.1461 (2022).
Azadeh, A., Moghaddam, M., Khakzad, M. & Ebrahimipour, V. A flexible neural network-fuzzy mathematical programming algorithm for improvement of oil price estimation and forecasting. Comput. Ind. Eng. 62, 421–430. https://doi.org/10.1016/j.cie.2011.06.019 (2012).
Zhang, W., Gu, X., Hong, L., Han, L. & Wang, L. Comprehensive review of machine learning in geotechnical reliability analysis: Algorithms, applications and further challenges. Appl. Soft Comput. 136, 110066. https://doi.org/10.1016/j.asoc.2023.110066 (2023).
Raissi, M., Perdikaris, P. & Karniadakis, G. E. Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J. Comput. Phys. 378, 686–707. https://doi.org/10.1016/j.jcp.2018.10.045 (2019).
Olden, J. D. & Jackson, D. A. Illuminating the “black box”: a randomization approach for understanding variable contributions in artificial neural networks. Ecol. Model. 154, 135–150. https://doi.org/10.1016/s0304-3800(02)00064-9 (2002).
Gevrey, M., Dimopoulos, I. & Lek, S. Review and comparison of methods to study the contribution of variables in artificial neural network models. Ecol. Model. 160, 249–264. https://doi.org/10.1016/s0304-3800(02)00257-0 (2003).
Kalman, H. & Portnikov, D. Analyzing bulk density and void fraction: B. Effect of moisture content and compression pressure. Powder Technol. 381, 285–297. https://doi.org/10.1016/j.powtec.2020.12.019 (2021).
Benachour, Y., Davy, C. A., Skoczylas, F. & Houari, H. Effect of a high calcite filler addition upon micro structural, mechanical, shrinkage and transport properties of a mortar. Cem. Concr. Res. 38, 727–736. https://doi.org/10.1016/j.cemconres.2008.02.007 (2008).
Qiu, J. P., Guo, Z. B., Yang, L., Jiang, H. Q. & Zhao, Y. L. Effects of packing density and water film thickness on the fluidity behaviour of cemented paste backfill. Powder Technol. 359, 27–35. https://doi.org/10.1016/j.powtec.2019.10.046 (2020).
Wu, C. L., Chau, K. W. & Li, Y. S. Methods to improve neural network performance in daily flows prediction. J. Hydrol. 372, 80–93. https://doi.org/10.1016/j.jhydrol.2009.03.038 (2009).
Kankal, M. & Uzlu, E. Neural network approach with teaching-learning-based optimization for modeling and forecasting long-term electric energy demand in Turkey. Neural Comput. Appl. 28, S737–S747. https://doi.org/10.1007/s00521-016-2409-2 (2017).
Liao, J. et al. Intelligent analysis method for the global vertical displacement field of foundation pits in dense karst cave areas. Eng. Appl. Artif. Intell. https://doi.org/10.1016/j.engappai.2024.109178 (2024).
Zeng, Q. H. et al. The sensitivity and timeliness of a variation correlation between structures in close proximity and located in the delta region. Measurement https://doi.org/10.1016/j.measurement.2023.113953 (2024).
Vanapalli, S. K., Fredlund, D. G., Pufahl, D. E. & Clifton, A. W. Model for the prediction of shear strength with respect to soil suction. Can. Geotech. J. 33, 379–392. https://doi.org/10.1139/t96-060 (1996).
Stavridakis, E. I. Evaluation of Engineering and Cement-Stabilization Parameters of Clayey-Sand Mixtures under Soaked Conditions. Geotech. Geol. Eng. 23, 635–655. https://doi.org/10.1007/s10706-004-0800-8 (2005).
Karakan, E. & Demir, S. Effect of fines content and plasticity on undrained shear strength of quartz-clay mixtures. Arabian J.Geosci. https://doi.org/10.1007/s12517-018-4114-1 (2018).
Vallejo, L. E. & Mawby, R. Porosity influence on the shear strength of granular material–clay mixtures. Eng. Geol. 58, 125–136. https://doi.org/10.1016/s0013-7952(00)00051-x (2000).
Acknowledgements
The work presented in this article was supported by Science and Technology Innovation Project of China Southern Power Grid Co., Ltd. (Grant No. CGYKJXM20220236) and the National Natural Science Foundation of China (NSFC) (Grant No. 42277131, 42293354, 42293351, 42293355, 42293350).
Author information
Authors and Affiliations
Contributions
Xionghui Huang: Data curation, Formal analysis, Funding acquisition, Investigation, Project administration, Writing – original draft, Writing – review & editing. Jin Liao: Formal analysis, Investigation, Methodology, Writing – original draft. Hong ke: Data curation, Funding acquisition, Project administration, Writing – review & editing. Qing Peng: Funding acquisition, Project administration, Methodology, Writing – review & editing. Zhuo Ma: Funding acquisition, Project administration, Methodology, Writing – review & editing. Jianmin Chen: Funding acquisition, Project administration, Methodology, Writing – review & editing. Zhen Liu: Funding acquisition, Writing – review & editing. Cuiying Zhou: Funding acquisition, Writing – review & editing.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
About this article
Cite this article
Huang, X., Liao, J., Ke, H. et al. Machine learning-based evaluation of shear strength factors in soil-rock mixtures for mountain substation fills. Sci Rep (2026). https://doi.org/10.1038/s41598-026-36601-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41598-026-36601-3


