Abstract
When tunneling in gravel-cobble stratum with earth balanced shield, the ratio between the diameters of the pressure sensor embodied in muck chamber and cut gravels is generally small. The small sensor-particle size ratio leads to considerable difference between the measured and actual earth pressure. This makes the configuration of earth pressure a difficult task and furtherly affects tunneling efficiency and safety. This work characterizes the variation of stress measurement error in a granular packing with consideration of the sensor-particle size ratio, the particle size distribution as well as the contact force distribution. The probability density function of stress measurement error is built according to a general probability distribution of inter-particle contact force. After then, a probability-based regressive procedure is proposed to estimate the applied stress with the measured stress. For stress samples with a same target stress but different biases, the stress estimated by the probability-based procedure has a minor variation and thus is more reliable than the arithmetic mean stress. Finally, the probability-based procedure is adopted to estimate the actual earth pressure of a well-tunneled section in Chengdu gravel-cobble stratum, according to which the lateral pressure coefficient of Chengdu gravel-cobble stratum is suggested as 0.20 – 0.28.
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References
Amoun S, Sharifzadeh M, Shahriar K, Rostami J, Tarigh Azali S (2017) Evaluation of tool wear in EPB tunneling of tehran metro, Line 7 expansion. Tunnelling and Underground Space Technology 61:233–246, DOI: https://doi.org/10.1016/j.tust.2016.11.001
Azéma E, Radjaï F (2012) Force chains and contact network topology in sheared packings of elongated particles. Physical Review E 85(3): 031303, DOI: https://doi.org/10.1103/PhysRevE.85.031303
Blair DL, Mueggenburg NW, Marshall AH, Jaeger HM, Nagel SR (2001) Force distributions in three-dimensional granular assemblies: Effects of packing order and interparticle friction. Physical Review E 63(4):041304, DOI: https://doi.org/10.1103/PhysRevE.63.041304
Cui K, Lin W (2016) Muck problems in subway shield tunneling in sandy cobble stratum. Polish Maritime Research 23(s1):175–179, DOI: https://doi.org/10.1515/pomr-2016-0062
Fargnoli V, Boldini D, Amorosi A (2013) TBM tunnelling-induced settlements in coarse-grained soils: The case of the new Milan underground line 5. Tunnelling and Underground Space Technology 38:336–347, DOI: https://doi.org/10.1016/j.tust.2013.07.015
Fu L, Xiao J, Zhou S, Zhang D, Wang Y, Liu W, Jiang L (2017) Roadbed improvement of an existing railway line located in cold region by reusing crushed deteriorated ballast. Proceedings of The 10th International Conference on the Bearing Capacity of Roads, Railways and Airfields, June 28–30, Athens, Greece
Fu L, Zhou S, Guo P, Tian Z, Zheng Y (2020) Dynamic characteristics of multiscale longitudinal stress and particle rotation in ballast track under vertical cyclic loads. Acta Geotechnica 16:1527–1545, DOI: https://doi.org/10.1007/s11440-020-01098-1
Gao M, Zhang R, Wang M (2013) The mechanism of ground subsidence induced by EPB tunneling in sand and cobble stratum. Proceedings of IACGE 2013, October 25–27, Chengdu, China
Guo F, Tao L, Kong H, Ma H, Zhang L, Zhang X (2018) Analysis of propagation and attenuation of vibration induced by shield tunneling in Lanzhou sandy gravel layer. Rock and Soil Mechanics 39(9):3377–3384, DOI: https://doi.org/10.16285/j.rsm.2016.2820
He C, Feng K, Fang Y, Jiang Y (2012) Surface settlement caused by twin-parallel shield tunnelling in sandy cobble strata. Journal of Zhejiang University SCIENCE A 13(11):858–869, DOI: https://doi.org/10.1631/jzus.A12ISGT6
Hu X, Yan Q, He C, Yang X (2016) Study on the disturbance and excavation face failure feature of granular mixtures stratum due to EPB shield tunneling. Chinese Journal of Rock Mechanics and Engineering 35(8):1618–1627
Huang Z, Wang C, Dong J, Zhou J, Yang J, Li Y (2019) Conditioning experiment on sand and cobble soil for shield tunneling. Tunnelling and Underground Space Technology 87:187–194, DOI: https://doi.org/10.1016/j.tust.2019.02.011
Kimura H, Itoh T, Iwata M, Fujimoto K (2005) Application of new urban tunneling method in Baikoh tunnel excavation. Tunnelling and Underground Space Technology 20(2):151–158, DOI: https://doi.org/10.1016/j.tust.2003.11.007
Koohmishi M, Palassi M (2016) Evaluation of the strength of railway ballast using point load test for various size fractions and particle shapes. Rock Mechanics and Rock Engineering 49(7):2655–2664, DOI: https://doi.org/10.1007/s00603-016-0914-3
Kruyt NP, Rothenburg L (2002) Probability density functions of contact forces for cohesionless frictional granular materials. International Journal of Solids and Structures 39(3):571–583, DOI: https://doi.org/10.1016/S0020-7683(01)00190-1
Li Y, Di H, Yao Q, Fu L, Zhou S (2020) Prediction model for disc cutter wear of tunnel boring machines in sandy cobble strata. KSCE Journal of Civil Engineering 24(3):1010–1019, DOI: https://doi.org/10.1007/s12205-020-1631-8
Liu C, Pan L, Wang F, Zhang Z, Cui J, Liu H, Duan Z, Ji X (2019) Three-dimensional discrete element analysis on tunnel face instability in cobbles using ellipsoidal particles. Materials 12(20):3347, DOI: https://doi.org/10.3390/ma12203347
Majmudar TS, Sperl M, Luding S, Behringer RP (2007) Jamming transition in granular systems. Physical Review Letters 98(5):058001, DOI: https://doi.org/10.1103/PhysRevLett.98.058001
Martinelli D, Todaro C, Luciani A, Peila D (2019) Use of a large triaxial cell for testing conditioned soil for EPBS tunnelling. Tunnelling and Underground Space Technology 94:103126, DOI: https://doi.org/10.1016/j.tust.2019.103126.
Mohammadi SD, Firuzi M, Asghari Kaljahi E (2016) Geological-geotechnical risk in the use of EPB-TBM, case study: Tabriz Metro, Iran. Bulletin of Engineering Geology and the Environment 75(4): 1571–1583, DOI: https://doi.org/10.1007/s10064-015-0797-7
Qu T, Wang S, Hu Q (2019) Coupled discrete element-finite difference method for analysing effects of cohesionless soil conditioning on tunneling behaviour of EPB shield. KSCE Journal of Civil Engineering 23(10):4538–4552, DOI: https://doi.org/10.1007/s12205-019-0473-8
Radjai F (2015) Modeling force transmission in granular materials. Comptes Rendus Physique 16(1):3–9, DOI: https://doi.org/10.1016/j.crhy.2015.01.003
Sazzad MdM, Suzuki K (2010) Micromechanical behavior of granular materials with inherent anisotropy under cyclic loading using 2D DEM. Granular Matter 12(6):597–605, DOI: https://doi.org/10.1007/s10035-010-0200-0
Sharpe DR, Russell HAJ (2016) A revised depositional setting for Halton sediments in the Oak Ridges Moraine area, Ontario (T. G. Fisher, Ed.). Canadian Journal of Earth Sciences 53(3):281–303, DOI: https://doi.org/10.1139/cjes-2015-0150
Wan RG, Guo P (2004) Stress dilatancy and fabric dependencies on sand behavior. Journal of Engineering Mechanics 130(6):635–645, DOI: https://doi.org/10.1061/(ASCE)0733-9399(2004)130:6(635)
Wu E, Zhu J, Chen G, Wang L (2020a) Experimental study of effect of gradation on compaction properties of rockfill materials. Bulletin of Engineering Geology and the Environment 79:2863–2869, DOI: https://doi.org/10.1007/s10064-020-01737-7
Wu E, Zhu J, Guo W, Zhang Z (2020b) Effect of gradation on the compactability of coarse-grained soils. KSCE Journal of Civil Engineering 24(2):356–364, DOI: https://doi.org/10.1007/s12205-020-1936-7
Yao Q, Di H, Ji C, Zhou S (2020) Ground collapse caused by shield tunneling in sandy cobble stratum and its control measures. Bulletin of Engineering Geology and the Environment 79:5599–5614, DOI: https://doi.org/10.1007/s10064-020-01878-9
Zhang J, Huang L, Peng T (2019) Face stability analysis of shield tunneling based on particle flow in different depth of sandy cobble stratum. Acta Geologica Sinica 2019:7249724, DOI: https://doi.org/10.1155/2019/7249724
Zhang P, Jin L, Du X, Lu D (2018) Computational homogenization for mechanical properties of sand cobble stratum based on fractal theory. Engineering Geology 232:82–93, DOI: https://doi.org/10.1016/j.enggeo.2017.11.013
Zhao B, Liu D, Jiang B (2018) Soil conditioning of waterless sand-pebble stratum in EPB tunnel construction. Geotechnical and Geological Engineering 36(4):2495–2504, DOI: https://doi.org/10.1007/s10706-018-0478-y
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The NSFS (Natural Science Foundation of Shanghai) Program, Grant NO. 21ZR1465400 are greatly appreciated for providing financial support for this research.
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Fu, Ll., Zhou, Sh., Zheng, Yx. et al. Estimating Earth Pressure during Tunneling in Gravel-cobble Stratum by Considering Sensor-particle Size Effect. KSCE J Civ Eng 27, 2704–2715 (2023). https://doi.org/10.1007/s12205-023-1712-6
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DOI: https://doi.org/10.1007/s12205-023-1712-6