A new hybrid grey wolf optimizer-feature weighted-multiple kernel-support vector regression technique to predict TBM per

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ORIGINAL ARTICLE

A new hybrid grey wolf optimizer‑feature weighted‑multiple kernel‑support vector regression technique to predict TBM performance Haiqing Yang1,2 · Zhihui Wang1,2 · Kanglei Song1,2  Received: 4 October 2020 / Accepted: 5 November 2020 © Springer-Verlag London Ltd., part of Springer Nature 2020

Abstract Full-face tunnel boring machine (TBM) is a modern and efficient tunnel construction equipment. A reliable and accurate TBM performance (like penetration rate, PR) prediction can reduce the cost and help to select the appropriate construction method. Therefore, this study introduces a new hybrid intelligence technique, i.e., grey wolf optimizer-feature weightedmultiple kernel-support vector regression (GWO-FW-MKL-SVR) to predict TBM PR. For this purpose, a tunnel in China was selected as a case study and the most important parameters on TBM performance, i.e., chamber earth pressure, total thrust, cutterhead torque, cutterhead speed, cohesion, internal friction angle, compression modulus, the ratio of boulder, uniaxial compressive strength and rock quality designation, were measured and considered as model inputs. To show the capability of the GWO-FW-MKL-SVR model, three models including biogeography-based optimization (BBO)-FW-MKL-SVR, MKLSVR, and SVR were also proposed to predict the TBM PR. To select the best predictive models, some performance indices, i.e., coefficient of determination (R2), root mean square error (RMSE) and variance accounted for (VAF) were considered and calculated. The obtained results showed that the GWO-FW-MKL-SVR model receives the highest accuracy in predicting the TBM PR for both train and test stages. R2 values of 0.946 and 0.894, for train and test stages of the GWO-FW-MKL-SVR model, respectively, confirmed that this new hybrid model is considered as a powerful, applicable and simple technique in predicting the TBM PR. By performing feature weight analysis, it was found that the effects of the uniaxial compressive strength, rock quality designation and cutterhead speed features were higher than the other input parameters on the TBM PR. Keywords  Tunnel boring machine · Penetration rate · Grey wolf optimizer · Biogeography-based optimization · Support vector regression

1 Introduction Electronic supplementary material  The online version of this article (https​://doi.org/10.1007/s0036​6-020-01217​-2) contains supplementary material, which is available to authorized users. * Kanglei Song [email protected]

Haiqing Yang [email protected]; [email protected]

Zhihui Wang [email protected] 1



State Key Laboratory of Coal Mine Disaster Dynamics and Control, School of Civil Engineering, Chongqing University, Chongqing 400045, China



National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas, Chongqing 400045, China

2

Compared with the traditional blasting methods, tunnel boring machine (TBM) is able to provide several obvious advantages such as less pollution to the surrounding environment, safety and high efficiency, and fast and