A Three-Stage Prediction Method for Track Displacement During Shield Tunneling

Abstract

Track displacement is an important factor of track irregularity. Existing researches related with track displacement prediction generally ignore the influence from underground construction engineering such as shield tunneling, resulting in inaccurate estimation of track displacement. To fill this gap, we propose a three-stage framework to predict the track displacement when the shield tunnel under crosses the existing tunnel. Firstly, by considering the curved shield tunneling, a three-dimensional model is constructed to estimate the total ground displacement during the whole tunneling process. Furthermore, the soil-tunnel interaction model is established to estimate the deformation of the existing tunnel. To tackle the issue of unknown node displacements, cubic splines are used to interpolate the unknown values of tunnel displacements. On this basis, the direct stiffness method is used to estimate the track displacement and to calculate the track irregularity. Finally, the effectiveness of the proposed method is verified and the prediction performance on the track irregularity is evaluated using a real engineering case and the finite element simulation. The main contributions of this article lie in the modeling of the curved scenario for the estimation of the ground loss, as well as the combination of cubic splines and direct stiffness method, which improve the accuracy of the track displacement estimation during shield tunneling.

Keywords

Subway / Shield tunneling / Track displacement / Direct stiffness method

References

[1] Audley M, Andrews J (2013) The effects of tamping on railway track geometry degradation. Proc Inst Mech Eng F J Rail Rapid Transit. 227(4): 376–391

[2] Wang F, Wang A, Tang T, Shi JJ (2023) SGL-PCA: health index construction with sensor sparsity and temporal monotonicity for mixed high-dimensional signals. IEEE Trans Autom Sci Eng. 20(1): 372–384

[3] Wang F, Zhong Z, Wang G, Tang T. A penalized convolution model for oil leakage detection in electrohydraulic railway point systems. IEEE Trans Instrum Meas, 2020, 70: 1-9

[4] Gilchrist A (1965) A report on some power spectral measurements of vertical rail irregularities. Br Rail Res Dep

[5] Cao Y, Sun YK, Xie G, Li P. A sound-based fault diagnosis method for railway point machines based on two-stage feature selection strategy and ensemble classifier. IEEE Trans Intell Transp Syst, 2021, 23(8): 12074-12083

[6] Wang F, Gahrooei MR, Zhong Z, Tang T, Shi J. An augmented regression model for tensors with missing values. IEEE Trans Autom Sci Eng, 2021, 19(4): 2968-2984

[7] Li MX, Berggren EG, Berg M (2009) Assessment of vertical track geometry quality based on simulations of dynamic track—vehicle interaction. In: Proc Inst Mech Eng F J Rail Rapid Transit; 223(2): 131–139

[8] Wang F, Du J, Zhao Y, Tang T, Shi JJ. A deep learning based data fusion method for degradation modeling and prognostics. IEEE Trans Reliab, 2020, 70(2): 775-789

[9] Iverson WC. Analysis of the reconstruction of rail geometry from curvature data. IEEE Trans Ind Appl, 1974, 3: 368-379

[10] Cao Y, An YT, Su S, Xie G, Sun YK. A statistical study of railway safety in China and Japan 1990–2020. Accid Anal Prev, 2022, 175

[11] Zhu H, Wei H, Xiong RW, Yu H, Peng L. Study on the detection of track alignment irregularities by chord measuring method. Rail Eng., 2005, 10: 63-64.

[12] Yazawa E, Takeshita K. Development of measurement device of track irregularity using inertial mid-chord offset method. Q Rep RTRI, 2002, 43(3): 125-130

[13] Liu S, Wang QD, Luo YP. A review of applications of visual inspection technology based on image processing in the railway industry. Transp Safe Env, 2019, 1(3): 185-204

[14] Lai S. Research on track irregularity spectrum based on track inspection data of heavy haul railway, 2021, Chengdu: Southwest Jiaotong University

[15] Sun YK, Cao Y, Li P. Contactless fault diagnosis for railway point machines based on multi-scale fractional wavelet packet energy entropy and synchronous optimization strategy. IEEE Trans Veh Technol, 2022, 7: 5906-5914

[16] Setiawan DM, Rosyidi SAP (2016) Track quality index as track quality assessment indicator

[17] Li M, Persson I, Spännar J, Berg M. On the use of second-order derivatives of track irregularity for assessing vertical track geometry quality. Veh Syst Dyn, 2012, 50(sup1): 389-401

[18] Mercier S, Meier-Hirmer C, Roussignol M. Bivariate Gamma wear processes for track geometry modelling, with application to intervention scheduling. Struct Infrastruct Eng, 2012, 8(4): 357-366

[19] Khouzani AHE, Golroo A, Bagheri M. Railway maintenance management using a stochastic geometrical degradation model. J Transp Eng. Part A Syst, 2017, 143(1): 04016002

[20] Huan C. TQI analysis and prediction of Beijing Jiulong railway track quality index of Jinan railway administration, 2011, Beijing: Beijing Jiaotong University

[21] Lasisi A, Attoh-Okine N. Principal components analysis and track quality index: a machine learning approach. Trans Res C Emerg Technol, 2018, 91: 230-248

[22] Falamarzi A, Moridpour S, Nazem M, Cheraghi S. Prediction of tram track gauge deviation using artificial neural network and support vector regression. Aust J Civil Eng, 2019, 17(1): 63-71

[23] Suarez B, Felez J, AntonioLozano J, Rodriguez P. Influence of the track quality and of the properties of the wheel–rail rolling contact on vehicle dynamics. Veh Syst Dyn, 2013, 51(2): 301-320

[24] Gao J. Study on the prediction of railway ballast track subsidence and height irregularity development, 2008, Chengdu: Southwest Jiaotong University

[25] Ma M, Li MH, Tan XY, Qu XY, Zhang HG. Influence analysis on track vibration due to coupled irregularity excitation of metro wheel-track. Eng Mech, 2021, 38(5): 191-198.

[26] Peck RB (1969) Deep excavations and tunneling in soft ground. In: Proc. 7th ICSMFE, pp 225–290

[27] Yang XL, Wang JM. Ground movement prediction for tunnels using simplified procedure. Tunn Undergr Space Technol, 2011, 26(3): 462-471

[28] Chakeri H, Ozcelik Y, Unver B. Investigation of ground surface settlement in twin tunnels driven with EPBM in urban area. Arab J Geosci, 2015, 8(9): 7655-7666

[29] Kui X. Research on the risk control of the engineering that a new subway tunnel closely traverses under an existing subway station, 2012, Beijing: Beijing Jiaotong University

[30] Klar A, Vorster T, Soga K, Mair R. Soil—pipe interaction due to tunnelling: comparison between Winkler and elastic continuum solutions. Géotechnique, 2005, 55(6): 461-466

[31] Jin DL, Shen X, Yuan DJ. Theoretical analysis of three-dimensional ground displacements induced by shield tunneling. Appl Math Model, 2020, 79: 85-105

[32] Cai XP, Li CH. Study on controlling the switching force and scant displacement of the point rail of the high speed turnout. J China Railw Soc, 2008, 30: 48-51.

[33] Cao Y, Chen ZH, Wen T, Roberts C, Sun YK, Su S (2022) Rail fastener detection of heavy railway based on deep learning. High-Speed Railway

[34] Wang Q, Qin Q, Jiang B, Yu HC, Pan R, Li SC. Study and engineering application on the bolt-grouting reinforcement effect in underground engineering with fractured surrounding rock. Tunn Undergr Space Technol, 2019, 84: 237-247

[35] Cao Y, Wen JK, Ma LC. Tracking and collision avoidance of virtual coupling train control system. Futur Gener Comput Syst, 2021, 120: 76-90

[36] Deng HS, Fu HL, Yue S, Huang Z, Zhao YY. Ground loss model for analyzing shield tunneling-induced surface settlement along curve sections. Tunn Undergr Space Technol, 2022, 119

[37] Forrestal M, Amos D. Dynamic spherical cavity expansion of strain-hardening materials. J Appl Mech, 1991, 58: 1

[38] Mindlin RD. Force at a point in the interior of a semi-infinite solid. Physics, 1936, 7(5): 195-202

[39] Jin DL, Yuan DJ, Ng YCH, Pan YT. Effect of an undercrossing tunnel excavation on an existing tunnel considering nonlinear soil-tunnel interaction. Tunn Undergr Space Technol, 2022, 130

[40] Wei H. Research on the track irregularities survey theory and relevant adjustment technologies of HSR track, 2014, Nanchang: Nanchang University

[41] Jin DL. Research on mechanism and control of existing subway tunnel deformation induced by multi-crossing of shield tunnel underneath, 2018, Beijing: Beijing Jiaotong University