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Enhancing the performance of tunnel water inflow prediction using Random Forest optimized by Grey Wolf Optimizer

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Abstract

In this research, a groundbreaking intelligent model named the GWO-RF model is introduced for the prediction of water inflow (WI) during tunnel construction. WI is a prevalent and intricate occurrence that significantly jeopardizes the safety of workers and equipment. The proposed model aims to address this issue by leveraging the capabilities of Grey Wolf Optimization (GWO) combined with the Random Forest (RF) algorithm. Through this innovative approach, the study strives to enhance the accuracy and effectiveness of WI prediction, ultimately contributing to improved safety measures in tunnel construction projects. The GWO-RF model utilizes 600 sets of data comprising tunnel depth (H), groundwater level (h), rock quality designation (RQD), and water yield property (W) as input independent variables. To evaluate the predictive performance of the GWO-RF model, seven ensemble regression models, namely RF, Bagging, AdaBoost, HistGradientBoosting (HGBoosting), GradientBoostingRegressorTree (GBRT), Voting, and Stacking are compared. Four prediction accuracy criteria were used to evaluate the performance of the developed models. The significance of variables and their contribution to WI prediction are analyzed using the Shapley Additive Explanations (SHAP) approach. The evaluation results demonstrate the superior accuracy of the proposed GWO-RF model over other conventional ensemble models in both the training and testing phases. With R2 values of 0.9483 and 0.9289, MAE values of 4.6042 and 8.3862, MSE values of 68.5806 and 144.1149, and RMSE values of 8.2813 and 12.0047, respectively, the GWO-RF model outperforms the others. As a result, the proposed GWO-RF model proves highly effective in predicting WI and determining the corresponding pumping requirements, making it invaluable for tunneling projects.

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References

  • Antwarg L, Miller RM, Shapira B, Rokach L (2021) Explaining anomalies detected by autoencoders using shapley additive explanations. Expert Syst Appl 186:115736

    Google Scholar 

  • Biswas R, Kumar M, Singh RK, Alzara M, El Sayed SBA, Abdelmongy M, Yousef SEA (2023) A novel integrated approach of RUNge Kutta optimizer and ANN for estimating compressive strength of self-compacting concrete. Case Stud Constr Mater 18:e02163

  • Breiman L (1996) Bagging predictors. Mach Learn 24:123–140

    Google Scholar 

  • Bui X-N, Nguyen, Hoang, Choi Y, Trung N-T, Zhou J, Dou J (2020) Prediction of slope failure in open-pit mines using a novel hybrid artificial intelligence model based on decision tree and evolution algorithm. Sci Rep 10(1):1–17

    Google Scholar 

  • Chen LW, Gui HR, Li YF (2007) UDEC simulation of the water-pouring probability in exploiting waterproof coal pillars under the conditions of thick loose bed and ultrathin overlying strata. Hydrogeol Eng Geol 1:53–56

    Google Scholar 

  • Chen Y, Yong W, Li C, Zhou J (2023) Predicting the thickness of an excavation damaged zone around the roadway using the DA-RF hybrid model. Comput Model Eng Sci 136(3):2507–2526

    Google Scholar 

  • Cheng P, Zhao L, Li Q, Li L, Zhang S (2019) Water inflow prediction and grouting design for tunnel considering nonlinear hydraulic conductivity. KSCE J Civ Eng 23:4132–4140

    Google Scholar 

  • Dahlin T, Bjelm L, Svensson C (1999) Use of electrical imaging in site investigations for a railway tunnel through the Hallandsås Horst, Sweden. Quarterly Journal of Engineering Geology and Hydrogeology 32(2):163–172

    Google Scholar 

  • Dai Y, Khandelwal M, Qiu Y, Zhou J, Monjezi M, Yang P (2022) A hybrid metaheuristic approach using random forest and particle swarm optimization to study and evaluate backbreak in open-pit blasting. Neural Comput Appl 34:6273–6288

    Google Scholar 

  • Dehghanbanadaki A, Khari M, Amiri S, Armaghani DJ (2021) Estimation of ultimate bearing capacity of driven piles in c-φ soil using MLP-GWO and ANFIS-GWO models: a comparative study. Soft Comput 25:4103–4119

    Google Scholar 

  • Du K, Liu M, Zhou J, Khandelwal M (2022) Investigating the slurry fluidity and strength characteristics of cemented backfill and strength prediction models by developing hybrid GA-SVR and PSO-SVR. Min Metall Explor 39(2):433–452

    Google Scholar 

  • Dwivedi RD, Goel RK, Singh M, Viladkar MN, Singh PK (2019) Prediction of ground behaviour for rock tunnelling. Rock Mech Rock Eng 52:1165–1177

    Google Scholar 

  • Džeroski S, Ženko B (2004) Is Combining Classifiers with Stacking Better than Selecting the Best One? Machine Learning 54:255–273. https://doi.org/10.1023/B:MACH.0000015881.36452.6e

    Article  Google Scholar 

  • El Tani M (2003) Circular tunnel in a semi-infinite aquifer. Tunn Undergr Space Technol 18(1):49–55

    Google Scholar 

  • Farhadian H, Katibeh H (2017) New empirical model to evaluate groundwater flow into circular tunnel using multiple regression analysis. Int J Min Sci Technol 27(3):415–421

    Google Scholar 

  • Farhadian H, Nikvar-Hassani A (2019) Water flow into tunnels in discontinuous rock: a short critical review of the analytical solution of the art. Bull Eng Geol Environ 78:3833–3849

    Google Scholar 

  • Feng XT, Zhao H, Li S (2004) Modeling non-linear displacement time series of geo-materials using evolutionary support vector machines. Int J Rock Mech Min Sci 41(7):1087–1107

    Google Scholar 

  • García MV, Aznarte JL (2020) Shapley additive explanations for NO2 forecasting. Ecol Inf 56:101039

    Google Scholar 

  • Golian M, Teshnizi ES, Nakhaei M (2018) Prediction of water inflow to mechanized tunnels during tunnel-boring-machine advance using numerical simulation. Hydrogeol J 26:2827–2851

    Google Scholar 

  • Goodman RE, Moye, Dan G, Van Schalkwyk A, Javandel (1964) Ground water inflows during tunnel driving. College of Engineering, University of California, Iraj

    Google Scholar 

  • He B, Armaghani DJ, Lai SH (2023) Assessment of tunnel blasting-induced overbreak: a novel metaheuristic-based random forest approach. Tunn Undergr Space Technol 133:104979

    Google Scholar 

  • Hintze JL, Nelson RD (1998) Violin plots: a box plot-density trace synergism. Am Stat 52(2):181–184

    Google Scholar 

  • Ho W, Ma X (2018) The state-of-the-art integrations and applications of the analytic hierarchy process. Eur J Oper Res 267(2):399–414

    Google Scholar 

  • Holmøy KH, Nilsen B (2014) Significance of geological parameters for predicting water inflow in hard rock tunnels. Rock Mech Rock Eng 47:853–868. https://doi.org/10.1007/s00603-013-0384-9

    Google Scholar 

  • Hwang JH, Lu CC (2007) A semi-analytical method for analyzing the tunnel water inflow. Tunn Undergr Space Technol 22(1):39–46

    Google Scholar 

  • Jahed Armaghani D, Hasanipanah M, Bakhshandeh Amnieh H, Tien Bui D, Mehrabi P, Khorami M (2020) Development of a novel hybrid intelligent model for solving engineering problems using GS-GMDH algorithm. Eng Comput 36:1379–1391

    Google Scholar 

  • Ke G, Meng Q, Finley T, Wang T, Chen W, Ma W, …, Liu TY (2017) Lightgbm: a highly efficient gradient boosting decision tree. Adv Neural Inf Process Syst 30

  • Koh PW, Liang P (2017) Understanding black-box predictions via influence functions. Paper presented at the International conference on machine learning, pp 1885–1894 

  • Kolymbas D, Wagner P (2007) Groundwater ingress to tunnels–the exact analytical solution. Tunn Undergr Space Technol 22(1):23–27

    Google Scholar 

  • Kuhn M, Johnson K (2013) Data Pre-processing. In: Applied Predictive Modeling. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6849-3_3

  • Kumar DR, Samui P, Burman A (2022) Prediction of probability of liquefaction using soft computing techniques. J Institution Eng (India): Ser A 103(4):1195–1208

    Google Scholar 

  • Lei S (1999) An analytical solution for steady flow into a ttonnel. Groundwater 37(1):23–26

    Google Scholar 

  • Li TR, Chamrajnagar AS, Fong XR, Rizik NR, Fu F (2019) Sentiment-based prediction of alternative cryptocurrency price fluctuations using gradient boosting tree model. Front Phys 7:98

    Google Scholar 

  • Li S-C, He P, Li L-P, Shi S-S, Zhang Q-Q, Zhang J, Hu J (2017) Gaussian process model of water inflow prediction in tunnel construction and its engineering applications. Tunn Undergr Space Technol 69:155–161

    Google Scholar 

  • Li L, Lei T, Li S, Zhang Q, Xu Z, Shi S, Zhou Z (2015) Risk assessment of water inrush in karst tunnels and software development. Arab J Geosci 8:1843–1854

    Google Scholar 

  • Li D, Li X, Li CC, Huang, Bingren, Gong F, Zhang W (2009) Case studies of groundwater flow into tunnels and an innovative water-gathering system for water drainage. Tunn Undergr Space Technol 24(3):260–268

    Google Scholar 

  • Li Shu-cai, Li ZZ, Xu Li-ping, Zhang Zhen-hao, Shi Shao-shuai (2013) Risk assessment of water inrush in karst tunnels based on attribute synthetic evaluation system. Tunn Undergr Space Technol 38:50–58

    Google Scholar 

  • Li C, Zhou J, Khandelwal M, Zhang X, Monjezi M, Qiu Y (2022) Six novel hybrid extreme learning machine–swarm intelligence optimization (ELM–SIO) models for predicting backbreak in open-pit blasting. Nat Resour Res 31(5):3017–3039

    Google Scholar 

  • Li E, Zhou J, Shi X, Jahed Armaghani D, Yu Z, Chen X, Huang P (2021) Developing a hybrid model of salp swarm algorithm-based support vector machine to predict the strength of fiber-reinforced cemented paste backfill. Eng Comput 37:3519–3540

    Google Scholar 

  • Liu R, Li G, Wei L, Xu Y, Gou X, Luo S, Yang X (2022) Spatial prediction of groundwater potentiality using machine learning methods with grey wolf and sparrow search algorithms. J Hydrol 610:127977

    Google Scholar 

  • Mahmoodzadeh A, Ghafourian H, Mohammed AH, Rezaei N, Ibrahim HH, Rashidi S (2023) Predicting tunnel water inflow using a machine learning-based solution to improve tunnel construction safety. Transp Geotechnics 40:100978

    Google Scholar 

  • Mahmoodzadeh A, Mohammadi Mokhtar, Noori KM, Gharrib Khishe, Mohammad Ibrahim, Hashim Hawkar, Ali Hunar Farid, Hama Abdulhamid, Nariman Sazan (2021) Presenting the best prediction model of water inflow into drill and blast tunnels among several machine learning techniques. Autom Constr 127:103719

    Google Scholar 

  • Mangalathu S, Hwang SH, Jeon JS (2020) Failure mode and effects analysis of RC members based on machine-learning-based shapley additive explanations (SHAP) approach. Eng Struct 219:110927

    Google Scholar 

  • Mei X, Cui Z, Sheng Q, Zhou J, Li C (2023) Application of the improved POA-RF model in predicting the strength and energy absorption property of a novel aseismic rubber-concrete material. Materials 16(3):1286

    Google Scholar 

  • Mirjalili S, Mirjalili S, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61

    Google Scholar 

  • Nguyen H, Drebenstedt C, Bui XN, Bui DT (2020) Prediction of blast-induced ground vibration in an open-pit mine by a novel hybrid model based on clustering and artificial neural network. Nat Resour Res 29(2):691–709

    Google Scholar 

  • Nohara Y, Matsumoto K, Soejima H, Nakashima N (2022) Explanation of machine learning models using shapley additive explanation and application for real data in hospital. Comput Methods Programs Biomed 214:106584

    Google Scholar 

  • Nowak AS, Radzik T (1994) The Shapley Value for n-Person Games in Generalized Characteristic Function Form. Games and Economic Behavior 6(1):150–161. https://doi.org/10.1006/game.1994.1008

    Article  Google Scholar 

  • Parhami B (1994) Voting algorithms. IEEE Trans Reliab 43(4):617–629

    Google Scholar 

  • Pham QB, Tran DA, Ha NT, Islam AR, M. T, Salam R (2022) Random forest and nature-inspired algorithms for mapping groundwater nitrate concentration in a coastal multi-layer aquifer system. J Clean Prod 343:130900

    Google Scholar 

  • Qiu YG, Zhou J (2023) Short-term rockburst prediction in underground project: insights from an explainable and interpretable ensemble learning model. Acta Geotechnica 1–30. https://doi.org/10.1007/s11440-023-01988-0

  • Rigatti SJ (2017) Random forest. J Insur Med 47(1):31–39

    Google Scholar 

  • Saha A, Pal SC, Chowdhuri I, Roy P, Chakrabortty R (2022) Effect of hydrogeochemical behavior on groundwater resources in Holocene aquifers of moribund Ganges Delta, India: Infusing data-driven algorithms. Environ Pollut 314:120203

    Google Scholar 

  • Sahoo A, Chandra S (2017) Multi-objective grey wolf optimizer for improved cervix lesion classification. Appl Soft Comput 52:64–80

    Google Scholar 

  • Schapire RE (2013) Explaining AdaBoost. In: Schölkopf, B., Luo, Z., Vovk, V. (eds) Empirical Inference. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41136-6_5

  • Seyfrit CL, Bjarnason T, Olafsson K (2010) Migration intentions of rural youth in Iceland: Can a large-scale development project stem the tide of out-migration? Society and Natural Resources 23(12):1201–1215

    Google Scholar 

  • Shukla R, Khandelwal M, Kankar PK (2021) Prediction and assessment of rock burst using various meta-heuristic approaches. Min Metall Explor 38:1375–1381

    Google Scholar 

  • Su K, Zhou Y, Wu H, Shi C, Zhou L (2017) An analytical method for groundwater inflow into a drained circular tunnel. Groundwater 55(5):712–721

    Google Scholar 

  • Taylor KE (2001) Summarizing multiple aspects of model performance in a single diagram. J Geophys Res: Atmos 106(D7):7183–7192

    Google Scholar 

  • Ullah I, Liu K, Yamamoto T, Zahid M, Jamal A (2022) Prediction of electric vehicle charging duration time using ensemble machine learning algorithm and shapley additive explanations. Int J Energy Res 46(11):15211–15230

    Google Scholar 

  • Wang DD, Qiu GQ, Xie WB, Wang Y (2012a) Deformation prediction model of surrounding rock based on GA-LSSVM-markov. Natural Science 04(02):85–90. https://doi.org/10.4236/ns.2012.42013

    Article  Google Scholar 

  • Wang Y, Yang W, Li M, Liu X (2012b) Risk assessment of floor water inrush in coal mines based on secondary fuzzy comprehensive evaluation. Int J Rock Mech Min Sci 52:50–55

    Google Scholar 

  • Wang LJ, Wang Y, Sun BJ, Zang XH (2008) Numerical simulation analysis on coal and rock fracture distribution after extraction of protective seam in Hong Ling coal mine. Min Saf Environ Prot 5:1–3

    Google Scholar 

  • Waqas U, Ahmed MF (2022) Investigation of strength behavior of thermally deteriorated sedimentary rocks subjected to dynamic cyclic loading. Int J Rock Mech Min Sci 158:105201

    Google Scholar 

  • Xie C, Nguyen H, Bui XN, Choi Y, Zhou J, NguyenTrang T (2021) Predicting rock size distribution in mine blasting using various novel soft computing models based on meta-heuristics and machine learning algorithms. Geosci Front 12(3):101108

    Google Scholar 

  • Xu ZH, Li SC, Li LP, Hou JG, Sui B, Shi SS (2011) Risk assessment of water or mud inrush of karst tunnels based on analytic hierarchy process. Rock Soil Mech 32(6):1757–1766

    Google Scholar 

  • Yang Z (2016) Risk prediction of water inrush of karst tunnels based on bp neural network. In 2016 4th International Conference on Mechanical Materials and Manufacturing Engineering. Atlantis Press, p 327–330

  • Yang P, Yong W, Li C, Peng K, Wei W, Qiu Y, Zhou J (2023a) Hybrid random forest-based models for earth pressure balance tunneling-induced ground settlement prediction. Appl Sci 13(4):2574

    Google Scholar 

  • Yang P, Li C, Qiu Y, Huang S, Zhou J (2023b) Metaheuristic optimization of random forest for predicting punch shear strength of FRP-reinforced concrete beams. Materials 16(11):4034

    Google Scholar 

  • Yao B, Bai H, Zhang B (2012) Numerical simulation on the risk of roof water inrush in Wuyang coal mine. Int J Min Sci Technol 22(2):273–277

    Google Scholar 

  • Yu Z, Shi X, Miao X, Zhou J, Khandelwal M, Chen X, Qiu Y (2021) Intelligent modeling of blast-induced rock movement prediction using dimensional analysis and optimized artificial neural network technique. Int J Rock Mech Min Sci 143:104794

    Google Scholar 

  • Zhang L, Franklin JA (1993) Prediction of water flow into rock tunnels: an analytical solution assuming an hydraulic conductivity gradient. International journal of rock mechanics and mining sciences and geomechanics abstracts, vol 30 1. Pergamon, pp 37–46

    Google Scholar 

  • Zhang Y, Su G, Yan L (2011) Classification of surrounding rocks in tunnel based on Gaussian process machine learning. In International Conference on Electric Technology and Civil Engineering (ICETCE), Lushan, pp 3971–3974. https://doi.org/10.1109/ICETCE.2011.5775328

  • Zhou J, Dai Y, Khandelwal M, Monjezi M, Yu Z, Qiu Y (2021a) Performance of hybrid SCA-RF and HHO-RF models for predicting backbreak in open-pit mine blasting operations. Nat Resour Res 30:4753–4771

    Google Scholar 

  • Zhou J, Qiu Y, Armaghani DJ, Zhang W, Li C, Zhu S, Tarinejad R (2021b) Predicting TBM penetration rate in hard rock condition: a comparative study among six XGB-based metaheuristic techniques. Geosci Front 12(3):101091

    Google Scholar 

  • Zhou J, Qiu Y, Khandelwal M, Zhu S, Zhang X (2021c) Developing a hybrid model of Jaya algorithm-based extreme gradient boosting machine to estimate blast-induced ground vibrations. Int J Rock Mech Min Sci 145:104856

    Google Scholar 

  • Zhou J, Qiu Y, Zhu S, Armaghani DJ, Li C, Nguyen H, Yagiz S (2021d) Optimization of support vector machine through the use of metaheuristic algorithms in forecasting TBM advance rate. Eng Appl Artif Intell 97:104015

    Google Scholar 

  • Zhou M, Chen J, Huang H, Zhang D, Zhao S, Shadabfar M (2021e) Multi-source data driven method for assessing the rock mass quality of a NATM tunnel face via hybrid ensemble learning models. Int J Rock Mech Min Sci 147:104914

    Google Scholar 

  • Zhou J, Dai Y, Du K, Khandelwal M, Li C, Qiu Y (2022c) COSMA-RF: new intelligent model based on chaos optimized slime mould algorithm and random forest for estimating the peak cutting force of conical picks. Transp Geotech 36:100806

    Google Scholar 

  • Zhou J, Chen C, Wang M, Khandelwal M (2021f) Proposing a novel comprehensive evaluation model for the coal burst liability in underground coal mines considering uncertainty factors. International Journal of Mining Science and Technology 31(5):799–812

    Google Scholar 

  • Zhou J, Chen Y, Li C, Qiu Y, Huang S, Tao M (2023a) Machine learning models to predict the tunnel wall convergence. Transportation Geotechnics. https://doi.org/10.1016/j.trgeo.2023.101022

    Article  Google Scholar 

  • Zhou J, Zhang R, Qiu Y, Khandelwal M (2023b) A true triaxial strength criterion for rocks by gene expression programming. Journal of Rock Mechanics and Geotechnical Engineering. https://doi.org/10.1016/j.jrmge.2023.03.004

    Article  Google Scholar 

  • Zhou J, Huang S, Qiu Y (2022a) Optimization of random forest through the use of MVO, GWO and MFO in evaluating the stability of underground entry-type excavations. Tunn Undergr Space Technol 124:104494

    Google Scholar 

  • Zhou J, Huang S, Zhou T, Armaghani DJ, Qiu Y (2022b) Employing a genetic algorithm and grey wolf optimizer for optimizing RF models to evaluate soil liquefaction potential. Artif Intell Rev 55(7):5673–5705

    Google Scholar 

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Funding

This research is partially supported by the National Natural Science Foundation of China (42177164), and the Distinguished Youth Science Foundation of Hunan Province of China (2022JJ10073).

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Jian Zhou: Conceptualization, Methodology, Validation, Investigation, Visualization, Writing - review & editing, Supervision, Funding acquisition. Yulin Zhang: Methodology, Formal analysis, Validation, Resources, Visualization, Software, Writing - original draft. Chuanqi Li: Formal analysis, Validation, Writing - review & editing. Weixun Yong: Formal analysis, Methodology, Visualization, Writing - review & editing. Yingui Qiu: Formal analysis, Visualization, Writing - review & editing. Kun Du: Validation, Formal analysis, Visualization, Investigation, Writing - review & editing, Supervision. Shiming Wang: Data curation, Visualization and Writing & editing. All authors read and approved the final manuscript.

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Zhou, J., Zhang, Y., Li, C. et al. Enhancing the performance of tunnel water inflow prediction using Random Forest optimized by Grey Wolf Optimizer. Earth Sci Inform 16, 2405–2420 (2023). https://doi.org/10.1007/s12145-023-01042-3

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