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Predicting tunnel squeezing using support vector machine optimized by whale optimization algorithm

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Abstract

The squeezing behavior of surrounding rock can be described as the time-dependent large deformation during tunnel excavation, which appears in special geological conditions, such as weak rock masses and high in situ stress. Several problems such as budget increase and construction period extension can be caused by squeezing in rock mass. It is significant to propose a model for accurate prediction of rock squeezing. In this research, the support vector machine (SVM) as a machine learning model was optimized by the whale optimization algorithm (WOA), WOA-SVM, to classify the tunnel squeezing based on 114 real cases. The role of WOA in this system is to optimize the hyper-parameters of SVM model for receiving a higher level of accuracy. In the established database, five input parameters, i.e., buried depth, support stiffness, rock tunneling quality index, diameter and the percentage strain, were used. In the process of model classification, different effective parameters of SVM and WOA were considered, and the optimum parameters were designed. To examine the accuracy of the WOA-SVM, the base SVM, ANN (refers to the multilayer perceptron) and GP (refers to the Gaussian process classification) were also constructed. Evaluation of these models showed that the optimized WOA-SVM is the best model among all proposed models in classifying the tunnel squeezing. It has the highest accuracy (approximately 0.9565) than other un-optimized individual classifiers (SVM, ANN, and GP). This was obtained based on results of different performance indexes. In addition, according to sensitivity analysis, the percentage strain is highly sensitive to the model, followed by buried depth and support stiffness. That means, ɛ, H and K are the best combination of parameters for the WOA–SVM model.

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Acknowledgements

This research was funded by the National Science Foundation of China (42177164) and the Innovation-Driven Project of Central South University (No. 2020CX040).

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  1. School of Resources and Safety Engineering, Central South University, Changsha, 410083, China

    Jian Zhou, Shuangli Zhu, Yingui Qiu & Weixun Yong

  2. Department of Urban Planning, Engineering Networks and Systems, Institute of Architecture and Construction, South Ural State University, 76, Lenin Prospect, Chelyabinsk, 454080, Russia

    Danial Jahed Armaghani

  3. Civil and Infrastructure Engineering Discipline, School of Engineering, Royal Melbourne Institute of Technology (RMIT), Melbourne, VIC, 3001, Australia

    Annan Zhou

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Table 5 Performance of different classifiers at many problems in minor change
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Zhou, J., Zhu, S., Qiu, Y. et al. Predicting tunnel squeezing using support vector machine optimized by whale optimization algorithm. Acta Geotech. 17, 1343–1366 (2022). https://doi.org/10.1007/s11440-022-01450-7

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  • Issue Date:

  • DOI: https://doi.org/10.1007/s11440-022-01450-7

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