Development of the Optuna-NGBoost-SHAP model for estimating ground settlement during tunnel excavation

Yuxin Chen , Mohammad Hossein Kadkhodaei , Jian Zhou

Underground Space ›› 2025, Vol. 24 ›› Issue (5) : 60 -78.

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Underground Space ›› 2025, Vol. 24 ›› Issue (5) : 60 -78. DOI: 10.1016/j.undsp.2025.03.006
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Development of the Optuna-NGBoost-SHAP model for estimating ground settlement during tunnel excavation

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Abstract

This study aims to develop and evaluate a natural gradient boosting (NGBoost) model optimized with Optuna for estimating ground settlement during tunnel excavation, incorporating Shapley additive explanations (SHAP) to perform interpretability analysis on the model’s estimation results. The model’s predictive performance was comprehensively assessed using datasets from two earth pressure balance shield tunneling projects in Changsha and Zhengzhou, China. Comparative analyses demonstrated the superior accuracy and generalization capability of the Optuna-NGBoost-SHAP model (training set: R2 = 0.9984, MAE = 0.1004, RMSE = 0.4193, MedAE = 0.0122; validation set: R2 = 0.9001, MAE = 1.3363, RMSE = 3.2992, MedAE = 0.3042; test set: R2 = 0.9361, MAE = 0.9961, RMSE = 2.5388, MedAE = 0.2147). SHAP value analysis quantitatively evaluated the contributions of input features to the model’s estimations, identifying geometric factors (distance from the shield machine to the monitoring section and cover depth) as the most important features. The findings provide robust decision support for safety management during tunnel construction and demonstrate the reliability and efficiency of the Optuna-NGBoost-SHAP framework in estimating complex ground settlement scenarios.

Keywords

Ground settlement / Hyperparameter optimization / NGBoost / Estimation / Interpretable machine learning

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Yuxin Chen, Mohammad Hossein Kadkhodaei, Jian Zhou. Development of the Optuna-NGBoost-SHAP model for estimating ground settlement during tunnel excavation. Underground Space, 2025, 24(5): 60-78 DOI:10.1016/j.undsp.2025.03.006

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Data availability

The data used in this research, along with related information, are available on GitHub: https://github.com/CSUcyx/Optuna-NGBoost-SHAP.git.

CRediT authorship contribution statement

Yuxin Chen: Software, Writing - original draft, Methodology, Investigation. Mohammad Hossein Kadkhodaei: Resources, Writing - review & editing, Investigation, Validation, Conceptualization. Jian Zhou: Writing - review & editing, Formal analysis, Supervision.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgement

This research is partially supported by the National Natural Science Foundation of China (Grant Nos. 42177164 and 52474121). The authors also wish to thank Dr. Zhang Pin for generously providing the database used in this study.

References

[1]

Akiba T., Sano S., Yanase T., Ohta T., & Koyama M. (2019). Optuna: A next-generation hyperparameter optimization framework. In Proceedings of the 25th ACM SIGKDD international conference on knowledge discovery and data mining (pp. 2623-2631).

[2]

Armaghani D. J., Yang P., He X., Pradhan B., Zhou J., & Sheng D. (2024). Toward precise long-term rockburst forecasting: A fusion of SVM and cutting-edge meta-heuristic algorithms. Natural Resources Research, 33(5), 2037-2062.

[3]

Arora K., & Gutierrez M. (2021). Viscous-elastic-plastic response of tunnels in squeezing ground conditions: Analytical modeling and experimental validation. International Journal of Rock Mechanics and Mining Sciences, 146, 104888.

[4]

Bobet A. (2001). Analytical solutions for shallow tunnels in saturated ground. Journal of Engineering Mechanics, 127(12), 1258-1266.

[5]

Chen R. P., Lin X. T., Kang X., Zhong Z. Q., Liu Y., Zhang P., & Wu H. N. (2018). Deformation and stress characteristics of existing twin tunnels induced by close-distance EPBS under-crossing. Tunnelling and Underground Space Technology, 82, 468-481.

[6]

Chen R. P., Zhang P., Kang X., Zhong Z. Q., Liu Y., & Wu H. N. (2019). Prediction of maximum surface settlement caused by earth pressure balance (EPB) shield tunneling with ANN methods. Soils and Foundations, 59(2), 284-295.

[7]

Chen Y., Khandelwal M., Onifade M., Zhou J., Lawal A. I., Bada S. O., & Genc B. (2025). Predicting the hardgrove grindability index using interpretable decision tree-based machine learning models. Fuel, 384, 133953.

[8]

Cui Q. L., Wu H. N., Shen S. L., Yin Z. Y., & Horpibulsuk S. (2016). Protection of neighbour buildings due to construction of shield tunnel in mixed ground with sand over weathered granite. Environmental Earth Sciences, 75(6), 458.

[9]

Darabi A., Ahangari K., Noorzad A., & Arab A. (2012). Subsidence estimation utilizing various approaches - A case study: Tehran No. 3 subway line. Tunnelling and Underground Space Technology, 31, 117-127.

[10]

Deepthi B., & Sivakumar B. (2022). Performance assessment of general circulation models: Application of compromise programming method and global performance indicator technique. Stochastic Environmental Research and Risk Assessment, 36(6), 1761-1778.

[11]

Despotovic M., Nedic V., Despotovic D., & Cvetanovic S. (2015). Review and statistical analysis of different global solar radiation sunshine models. Renewable and Sustainable Energy Reviews, 52, 1869-1880.

[12]

Duan T., Avati A., Ding D. Y., Thai K. K., Basu S., Ng A., & Schuler A. (2020). NGBoost: Natural gradient boosting for probabilistic prediction. In 37th international conference on machine learning, ICML 2020, PartF168147-4 (pp. 2670-2680).

[13]

Freitag S., Cao B. T., Ninić J., & Meschke G. (2018). Recurrent neural networks and proper orthogonal decomposition with interval data for real-time predictions of mechanised tunnelling processes. Computers & Structures, 207, 258-273.

[14]

Goh A. T. C., Zhang W., Zhang Y., Xiao Y., & Xiang Y. (2018). Determination of earth pressure balance tunnel-related maximum surface settlement: A multivariate adaptive regression splines approach. Bulletin of Engineering Geology and the Environment, 77(2), 489-500.

[15]

Hasanipanah M., Noorian-Bidgoli M., Jahed Armaghani D., & Khamesi H. (2016). Feasibility of PSO-ANN model for predicting surface settlement caused by tunneling. Engineering with Computers, 32 (4), 705-715.

[16]

Hasanpour R., Rostami J., & Ünver B. (2014). 3D finite difference model for simulation of double shield TBM tunneling in squeezing grounds. Tunnelling and Underground Space Technology, 40, 109-126.

[17]

He B., Armaghani D. J., Tsoukalas M. Z., Qi C., Bhatawdekar R. M., & Asteris P. G. (2024). A case study of resilient modulus prediction leveraging an explainable metaheuristic-based XGBoost. Transportation Geotechnics, 45, 101216.

[18]

Huang S., & Zhou J. (2024). Refined Approaches for Open Stope Stability Analysis in Mining Environments: Hybrid SVM Model with Multi-optimization strategies and GP Technique. Rock Mechanics and Rock Engineering, 57(11), 9781-9804.

[19]

Huang Z. K., Zhang D. M., & Xie X. C. (2022). A practical ANN model for predicting the excavation-induced tunnel horizontal displacement in soft soils. Underground Space, 7(2), 278-293.

[20]

Iban M. C., & Bilgilioglu S. S. (2023). Snow avalanche susceptibility mapping using novel tree-based machine learning algorithms (XGBoost, NGBoost, and LightGBM) with eXplainable Artificial Intelligence (XAI) approach. Stochastic Environmental Research and Risk Assessment, 37(6), 2243-2270.

[21]

Kannangara K. K. P. M., Zhou W., Ding Z., & Hong Z. (2022). Investigation of feature contribution to shield tunneling-induced settlement using Shapley additive explanations method. Journal of Rock Mechanics and Geotechnical Engineering, 14(4), 1052-1063.

[22]

Kavzoglu T., & Teke A. (2022). Predictive performances of ensemble machine learning algorithms in landslide susceptibility mapping using random forest, extreme gradient boosting (XGBoost) and natural gradient boosting (NGBoost). Arabian Journal for Science and Engineering, 47(6), 7367-7385.

[23]

Lai D., Demartino C., & Xiao Y. (2024). Probabilistic machine leaning models for predicting the maximum displacements of concrete-filled steel tubular columns subjected to lateral impact loading. Engineering Applications of Artificial Intelligence, 135, 108704.

[24]

Loganathan N., & Poulos H. G. (1998). Analytical prediction for tunneling-induced ground movements in clays. Journal of Geotechnical and Geoenvironmental Engineering, 124(9), 846-856.

[25]

Lu J., Liu Z., Zhang W., Zheng J., & Han C. (2023). Pressure prediction study of coal mining working face based on nadam-LSTM. IEEE Access, 11, 83867-83880.

[26]

Lundberg S. M., Erion G., Chen H., DeGrave A., Prutkin J. M., Nair B., Katz R., Himmelfarb J., Bansal N., & Lee S. I. (2020). From local explanations to global understanding with explainable AI for trees. Nature Machine Intelligence, 2(1), 56-67.

[27]

Mame M., Qiu Y., Huang S., Du K., & Zhou J. (2024). Mean block size prediction in rock blast fragmentation using TPE-tree-based model approach with SHapley additive exPlanations. Mining, Metallurgy & Exploration, 41(5), 2325-2340.

[28]

Migliazza M., Chiorboli M., & Giani G. P. (2009). Comparison of analytical method, 3D finite element model with experimental subsidence measurements resulting from the extension of the Milan underground. Computers and Geotechnics, 36(1/2), 113-124.

[29]

Mitchell R., Frank E., & Holmes G. (2020). GPUTreeShap: massively parallel exact calculation of SHAP scores for tree ensembles. PeerJ Computer Science, 8.

[30]

Mohammadi S. D., Naseri F., & Alipoor S. (2015). Development of artificial neural networks and multiple regression models for the NATM tunnelling-induced settlement in Niayesh subway tunnel, Tehran. Bulletin of Engineering Geology and the Environment, 74(3), 827-843.

[31]

Ocak I., & Seker S. E. (2013). Calculation of surface settlements caused by EPBM tunneling using artificial neural network, SVM, and Gaussian processes. Environmental Earth Sciences, 70(3), 1263-1276.

[32]

Peck R. (1969). Deep excavations and tunnelling in soft ground. In 7th international conference on soil mechanics and foundation engineering (pp. 225-290).

[33]

Pourtaghi A., & Lotfollahi-Yaghin M. A. (2012). Wavenet ability assessment in comparison to ANN for predicting the maximum surface settlement caused by tunneling. Tunnelling and Underground Space Technology, 28(1), 257-271.

[34]

Qiu Y., & Zhou J. (2024). Novel rockburst prediction criterion with enhanced explainability employing CatBoost and nature-inspired metaheuristic technique. Underground Space, 19, 101-118.

[35]

Qiu Y., Zhou J., Khandelwal M., Yang H., Yang P., & Li C. (2022). Performance evaluation of hybrid WOA-XGBoost, GWO-XGBoost and BO-XGBoost models to predict blast-induced ground vibration. Engineering with Computers, 38(5), 4145-4162.

[36]

Qiu Y., Zhou J., He B., Armaghani D. J., Huang S., & He X. (2024). Evaluation and interpretation of blasting-induced tunnel overbreak: Using heuristic-based ensemble learning and gene expression pro-gramming techniques. Rock Mechanics and Rock Engineering, 57(9), 7535-7563.

[37]

Rawal K., & Ahmad A. (2022). A comparative analysis of supervised machine learning algorithms for electricity demand forecasting. ICPC2T 2022-2nd international conference on power, control and computing technologies, proceedings..

[38]

Rudin C. (2019). Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead. Nature machine intelligence, 1(5), 206-215.

[39]

Shapley L. (1953). Stochastic games. Proceedings of the National Academy of Sciences, 39(10), 1095-1100.

[40]

Shekhar S., Bansode A., & Salim A. (2022). A comparative study of hyper-parameter optimization tools. 2021 IEEE Asia-pacific conference on computer science and data engineering, CSDE 2021..

[41]

Shen S.-L., Cui Q.-L., Ho C.-E., & Xu Y.-S. (2016). Ground response to multiple parallel microtunneling operations in cemented silty clay and sand. Journal of Geotechnical and Geoenvironmental Engineering, 142(5), 04016001.

[42]

Shivaei S., Hataf N., & Pirastehfar K. (2020). 3D numerical investigation of the coupled interaction behavior between mechanized twin tunnels and groundwater - A case study: Shiraz metro line 2. Tunnelling and Underground Space Technology, 103, 103458.

[43]

Su J., Wang Y., Niu X., Sha S., & Yu J. (2022). Prediction of ground surface settlement by shield tunneling using XGBoost and Bayesian Optimization. Engineering Applications of Artificial Intelligence, 114, 105020.

[44]

Suwansawat S., & Einstein H. H. (2006). Artificial neural networks for predicting the maximum surface settlement caused by EPB shield tunneling. Tunnelling and Underground Space Technology, 21(2), 133-150.

[45]

Tang L., & Na S. H. (2021). Comparison of machine learning methods for ground settlement prediction with different tunneling datasets. Journal of Rock Mechanics and Geotechnical Engineering, 13(6), 1274-1289.

[46]

Taylor K. E. (2001). Summarizing multiple aspects of model performance in a single diagram. Journal of Geophysical Research: Atmospheres, 106 (D7), 7183-7192.

[47]

Wang F., Gou B., & Qin Y. (2013). Modeling tunneling-induced ground surface settlement development using a wavelet smooth relevance vector machine. Computers and Geotechnics, 54, 125-132.

[48]

Wang F., Du X., & Li P. (2023). Predictions of ground surface settlement for shield tunnels in sandy cobble stratum based on stochastic medium theory and empirical formulas. Underground Space, 11, 189-203.

[49]

Wang X. T., von Schmettow T., Chen X. S., & Xia C. Q. (2022). Prediction of ground settlements induced by twin shield tunnelling in rock and soil - A case study. Underground Space, 7(4), 623-635.

[50]

Wu X., Feng Z., Liu J., Chen H., & Liu Y. (2024). Predicting existing tunnel deformation from adjacent foundation pit construction using hybrid machine learning. Automation in Construction, 165, 105516.

[51]

Xiao X., Zou Y., Huang J., Luo X., Yang L., Li M., Yang P., Ji X., & Li Y. (2024). An interpretable model for landslide susceptibility assessment based on Optuna hyperparameter optimization and Random Forest. Geomatics, Natural Hazards and Risk, 15(1), 2347421.

[52]

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

[53]

Yang P., Zhou J., Zhang Y., Xu C., Khandelwal M., & Huang S. (2025). Ground settlement prediction in urban tunnelling: leveraging metaheuristic-optimized random forest models. Arabian Journal for Science and Engineering, 1-20.

[54]

Zhang L., Wu X., Ji W., & AbouRizk S. M. (2016). Intelligent approach to estimation of tunnel-induced ground settlement using wavelet packet and support vector machines. Journal of Computing in Civil Engineering, 31(2), 04016053.

[55]

Zhang P., Chen R. P., & Wu H. N. (2019). Real-time analysis and regulation of EPB shield steering using random forest. Automation in Construction, 106, 102860.

[56]

Zhang P., Chen R. P., Wu H. N., & Liu Y. (2020a). Ground settlement induced by tunneling crossing interface of water-bearing mixed ground: A lesson from Changsha. China. Tunnelling and Underground Space Technology, 96, 103224.

[57]

Zhang P., Li H., Ha Q. P., Yin Z. Y., & Chen R. P. (2020b). Reinforcement learning based optimizer for improvement of predicting tunneling-induced ground responses. Advanced Engineering Informatics, 45, 101097.

[58]

Zhang P., Wu H. N., Chen R. P., Dai T., Meng F. Y., & Wang H. B. (2020c). A critical evaluation of machine learning and deep learning in shield-ground interaction prediction. Tunnelling and Underground Space Technology, 106, 103593.

[59]

Zhang P., Wu H. N., Chen R. P., & Chan T. H. (2020d). Hybrid metaheuristic and machine learning algorithms for tunneling-induced settlement prediction: A comparative study. Tunnelling and Underground Space Technology, 99, 103383.

[60]

Zhang R., Zhou J., Tao M., Li C., Li P., & Liu T. (2024a). Borehole breakout prediction based on multi-output machine learning models using the walrus optimization algorithm. Applied Sciences, 14(14), 6164.

[61]

Zhang W., Ching J., Goh A. T. C., & Leung A. Y. F. (2021a). Big data and machine learning in geoscience and geoengineering: Introduction. Geoscience Frontiers, 12(1), 327-329.

[62]

Zhang W., Li Y., Wu C., Li H., Goh A. T. C., & Liu H. (2022). Prediction of lining response for twin tunnels constructed in anisotropic clay using machine learning techniques. Underground Space, 7(1), 122-133.

[63]

Zhang W., Wu C., Zhong H., Li Y., & Wang L. (2021b). Prediction of undrained shear strength using extreme gradient boosting and random forest based on Bayesian optimization. Geoscience Frontiers, 12(1), 469-477.

[64]

Zhang Y. P., Liu L., Wu J., Zeng S., Hu J., Tao Y., Huang Y., Zhou X., & Liang X. (2024b). An interpretable probabilistic prediction algorithm for shield movement performance. Frontiers in Earth Science, 12, 1340437.

[65]

Zhang Y. L., Qiu Y. G., Armaghsni D. J., Monjezi M., & Zhou J. (2024c). Enhancing rock fragmentation prediction in mining operations: A hybrid GWO-RF model with SHAP interpretability. Journal Central South University, 31, 2916-2929.

[66]

Zhao H., Chen B., Li S., Li Z., & Zhu C. (2021). Updating the models and uncertainty of mechanical parameters for rock tunnels using Bayesian inference. Geoscience Frontiers, 12(5), 101198.

[67]

Zhou J., Chen Y., Li C., Qiu Y., Huang S., & Tao M. (2023). Machine learning models to predict the tunnel wall convergence. Transportation Geotechnics, 41, 101022.

[68]

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

[69]

Zhou J., Qi H., Peng K., Zhang Y., & Khandelwal M. (2024). Comprehensive review and future perspectives on prediction and mitigation of tunnel-induced ground settlement: A bibliometric analysis and methodological overview (2002-2022). Tunnelling and Underground Space Technology, 154, 106081.

[70]

Zhou J., Qiu Y., Zhu S., Armaghani D. J., Khandelwal M., & Mohamad E. T. (2021). Estimation of the TBM advance rate under hard rock conditions using XGBoost and Bayesian optimization. Underground Space, 6(5), 506-515.

[71]

Zhou J., Shi X., Du K., Qiu X., Li X., & Mitri H. S. (2016). Feasibility of random-forest approach for prediction of ground settlements induced by the construction of a shield-driven tunnel. International Journal of Geomechanics, 17(6), 04016129.

[72]

Zhu X., Chu J., Wang K., Wu S., Yan W., & Chiam K. (2021). Prediction of rockhead using a hybrid N-XGBoost machine learning framework. Journal of Rock Mechanics and Geotechnical Engineering, 13(6), 1231-1245.

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