FRACTAL SPACE BASED DIMENSIONLESS ANALYSIS OF THE SURFACE SETTLEMENT INDUCED BY THE SHIELD TUNNELING
Abstract
The surface settlement during the tunneling process is becoming increasingly difficult to forecast as its surroundings become more and more erratic, and the maximal surface settlement raises risks posed suddenly by various uncertain factors. This paper proposes a novel approach to prediction of the surface settlement and analyzes the stability of tunnel construction. The dimensionless analysis and Buckingham’s π-theorem are adopted for this purpose, and some useful dimensionless quantities are found, which can be used to determine the surface settlement’s main properties. In this manner, the paper offers new ways of predicting surface settlement in various cases, and it sheds a new light on the tunnel’s design and safety monitoring.
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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), pp. 284-295.
Qi, T., Zhang, Q. H., Hu, X. D., Fan, X. J., 2010, A practical approach for predicting surface settlements induced by shield tunneling, Rock and Soil Mechanics, 31(4), pp. 1247-1252.
Koyama, Y., 2003, Present status and technology of shield tunneling method in Japan, Tunnelling and Underground Surface Technology, 18(2-3), pp. 145-159.
Wu, H.N., Shen, S.L., Liao, S.M., Yin, Z.Y., 2015, Longitudinal structural modelling of shield tunnels considering shearing dislocation between segmental rings, Tunnelling and Underground Surface Technology, 50(8), pp. 317-323.
Gao, Y.X., Liu, Y.W., Tang, P.J., Mi, C.Q., 2022, Modification of Peck Formula to Predict Surface Settlement of Tunnel Construction in Water-Rich Sandy Cobble Strata and Its Program Implementation, Sustainability, 14(21), 14545.
Lu, D., Lin, Q., Tian, Y., Du, X., Gong, Q., 2020, Formula for predicting ground settlement induced by tunnelling based on gaussian function, Tunnelling and Underground Space Technology, 103, 103443.
Yang, M., Huang, J., Sun Q., Liu K., Zeng Y.J., 2012, Computation method for long-term surface and subsurface settlements induced by excavation of tunnels in clays, Chinese Journal of Geotechnical Engineering, 34(2), pp. 217-221.
Macklin, S.R., 1999, The prediction of volume loss due to tunneling in overconsolidated clay based on heading geometry and stability number, Ground Engineering, 32(4), pp. 30-33.
Chou, W.I., Bobe,t A., 2002, Prediction of ground deformations in shallow tunnels in clay, Tunnelling and Underground Space Technology, 17(1), pp. 3-19.
Park, K.H., 2005, Analytical solution for tunneling-induced ground movements in clays, Tunnelling and Underground Space Technology, 20(3), pp. 249-261.
Topal, C., Mahmutoğlu, Y., 2021, Assessment of surface settlement induced by tunnel excavations for the Esenler–Başakşehir (Istanbul, Turkey) Subway Line, Environmental Earth Sciences, 80, 188.
Ocak, I., 2009, Environmental effects of tunnel excavation in soft and shallow ground with EPBM: the case of Istanbul, Environmental Earth Sciences, 59(2), pp. 347-352.
Ercelebi, S.G., Copur, H., Ocak, I., 2011, Surface settlement predictions for Istanbul Metro tunnels excavated by EPB-TBM, Environmental Earth Sciences, 62(2), pp. 357-365.
Chakeri, H., Ozcelik, Y., Unver, B., 2013, Effects of important factors on surface settlement prediction for metro tunnel excavated by EPB, Tunnelling and Underground Space Technology, 36(6), pp. 14-23.
Yu,W., Lei, B., Ng, M.K., Cheung, A.C., Shen, Y., Wang, S., 2022, Tensorizing GAN with high-order pooling for Alzheimer's disease assessment, IEEE Transactions on Neural Networks and Learning Systems, 33(9), pp. 4945-4959.
Wang, S., Wang, X., Shen, Y, He, B., Zhao, X., Cheung, P.W., Cheung, J.P., Luk, K.D., Hu, Y., 2020, An ensemble-based densely-connected deep learning system for assessment of skeletal maturity, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(1), pp. 426-437.
You, S., Lei, B., Wang, S., Chui, C.K., Cheung, A.C., Liu, Y., Gan, M., Wu, G., Shen, Y., 2020, Fine perceptive gans for brain MR image super-resolution in wavelet domain, IEEE transactions on neural networks and learning systems, 2020, 35254996.
Hu, S., Lei, B., Wang, S., Wang, Y., Feng, Z., Shen, Y., 2022, Bidirectional mapping generative adversarial networks for brain MR to PET synthesis, IEEE Transactions on Medical Imaging, 41(1), pp. 145-157.
Yu,W., Lei, B., Wang, S., Liu, Y., Feng, Z., Hu, Y., Shen, Y., Ng, M.K., 2021, Morphological feature visualization of Alzheimer's disease via multidirectional perception GAN, IEEE Transactions on Neural Networks and Learning Systems, 2021, 35320106.
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, pp. 133-150.
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, 69(5), pp. 1673-1683.
Ling, X., Kong, X., Tang, L., Zhao, Y., Tang, W., Zhang, Y., 2022, Predicting earth pressure balance (EPB) shield tunneling-induced ground settlement in compound strata using random forest, Transportation Geotechnics, 35, 100771.
Shen, W.J., Davis, T., Lin, D.K.J., Nachtsheim, C.J., 2014, Dimensional analysis and its applications in statistics, Journal of Quality Technology, 46(3), pp. 185-198.
Estrada-Díaz, J.A., Olvera-Trejo, D., Elías-Zúniga, A., Martínez-Romero, O., 2021, A mathematical dimensionless model for electrohydrodynamics, Results in Physics, 25, 104256.
He, J.-H., Qian, M.-Y., Li,Y., 2022, The maximal wrinkle angle during the bubble collapse and its application to the bubble electrospinning, Frontiers in Materials, 8, 800567.
Qian, M.-Y., He, J.-H., 2022, Collection of polymer bubble as a nanoscale membrane, Surfaces and Interface, 28, 101665.
Zuo, Y.T., Liu, H.J., 2022, Effect of temperature on the bubble-electrospinning process and its hints for 3-D printing technology, Thermal Science, 26 (3), pp. 2499-2503.
He, C.H., Liu, S.H., Liu, C., Mohammad-Sedighi, H., 2022, A novel bond stress-slip model for 3-D printed concretes, Discrete and Continuous Dynamical Systems, 15(7), pp. 1669-1683.
Kong, H.Y., He, J.-H., 2012, A novel friction law, Thermal Science, 16(5), pp. 1529-1533.
Jiang, Z., Yu, C.W., Yang, J.P., Han, G.T., Xing, M.J., 2019, Estimation of yarn strength based on critical slipping length and fiber length distribution, Textile Research Journal, 89(2), pp.182-194.
Prakash, M.J., Surajkumar, G.K., Desavale, R.G., Shubham, B.P., 2020, Distributed fault diagnosis of rotor-bearing system using dimensional analysis and experimental methods, Measurement, 166, 108239.
Ma, N., 2021, Dimensional analysis and inertial effects in transient thermal stress analysis, Thermal Science & Engineering Progress, 22, 100787.
Silva, A.J.V., Pérez-Domínguez, L., Gómez, E.M., Luviano-Cruz, D., Valles-Rosales, D., 2021, Dimensional analysis under linguistic pythagorean fuzzy set, Symmetry, 13(3), 440.
He, C.H., Liu, C., 2023, Fractal dimensions of a porous concrete and its effect on the concrete’s strength, Facta Universitatis Series: Mechanical Engineering, 21(1), pp. 137-150.
Jia, J., Gao, R., Wang, D., Li, J., Song, Z., Tans, J., 2022, Settlement behaviours and control measures of twin-tube curved buildings-crossing shield tunnel, Structural Engineering and Mechanics, 84(5), pp. 699-706.
Wang, Y.X., Liu, J.,Guo, P.P., Zhang, W., Lin, H., Zhao, Y.L., Ou, Q.,2021, Simplified analytical solutions for tunnel settlement induced by axially loading single pile and pile Group, Journal of Engineering Mechanics, 147(12), pp.1024-1037.
Pichler, C., Lackner, R., Spira, Y.,Mang, H.A., 2003, Thermochemomechanical assessment of ground improvement by jet grouting in tunneling, Journal of Engineering Mechanics, 129(8), pp. 951-962.
Tong, L.Y., Zhou, H., Shen, H., Liu, H.L., 2022, A complex variable solution for shallow rectangular tunnel in semi-infinite plane, Journal of Engineering Mechanics, 148(4), 4022012.
Li, R.J., Lei, H.Y., Ma, C.Y., Liu, Y.N., Liu, N.M., 2023, The development of sand erosion induced by shield-tunnel joint leakage, Engineering Failure Analysis, 148, 107068.
Ye, X.W., Zhang, X.L., Zhang, H.Q., Ding,Y., Chen, Y.M., 2023, Prediction of lining upward movement during shield tunneling using machine learning algorithms and field monitoring data, Transportation Geotechnics, 41, 101002.
Subel, A., Chattopadhyay, A., Guan, Y., Hassanzadeh, P., 2021, Data-driven subgrid-scale modeling of forced Burgers turbulence using deep learning with generalization to higher Reynolds numbers via transfer learning, Physics of Fluids, 33(3), 031702.
Ferroudj, N., Koten, H., Boudebous, S. 2022, Mixed Convection Heat Transfer and entropy generation in a water-filled square cavity partially heated from below: the effects of Richardson and Prandtl numbers, Journal of Applied and Computational Mechanics, 8(1), pp. 282-297.
Cavallotti, C., Pelucchi, M., Georgievskii, Y., Klippenstein, S.J., 2019, EStokTP: electronic structure to temperature- and pressure-dependent rate constants-a code for automatically predicting the thermal kinetics of reactions, Journal of Chemical Theory and Computation, 15(2), pp.1122-1145.
Gajbhiye, N.L., Eswaran, 2018, VMHD buoyant flow in a cubical enclosure at low to high Hartmann number, International Journal of Thermal Sciences, 134, pp. 168-178.
He, J.-H., Elgazery, N.S., Elagamy, K., Abd Elazem, N.Y., 2023, Efficacy of a modulated viscosity-dependent temperature/nanoparticles concentration parameter on a nonlinear radiative electromagneto-nanofluid flow along an elongated stretching sheet, Journal of Applied and Computational Mechanics, 9(3), pp. 848-860.
Zhang, X., Jiao, Y., Qu, X., Huo, G., Huang, K., 2023, Dimensional analysis of the working condition dependence on the leakage performance of a hole diaphragm labyrinth seal, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 45(4), 210.
Haghgoo, M., Babaei, H., Mostofi, T.M., 2023, A non-dimensional analysis on the large plastic deformation triangular plates under impulsive loading, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 45(1), 25.
Zhao, Y.J., Zhang, Y.L., Zhou, F.L., 2021, The effect of downtime on non-inertial stopping performance under special working conditions, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42 (4), pp. 371-380.
Sonin, A.A., 2004, A generalization of the π-theorem and dimensional analysis, Applied Physical Science, 101(23), pp. 8525-8526.
Zhao, Y.P., 1998, Suggestion of a new dimensionless number for dynamic plastic response of beams and plates, Archive of Applied Mechanics, 68(7/8), pp. 524-538.
Lesur, G., Longaretti, P.Y., 2007, Impact of dimensionless numbers on the efficiency of magnetorotational instability induced turbulent transport, Monthly Notices of the Royal Notices of the Royal Astronomical Society, 378(4), pp. 1471-1480.
Zinola, C.F., 2023, Dimensionless numbers on columnar structured electrodes in hydrogen/oxygen polymer electrolyte fuel cells, Chemical Engineering Journal, 454(4), 140315.
Craig, R.R., 2011, Mechanics of Materials (Third edition), Wiley, 538 p.
DOI: https://doi.org/10.22190/FUME230826048M
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