Abstract
The deformation pattern of the stratum caused by constructing a new metro tunnel crossing an existing tunnel is different from the deformation pattern caused by general tunnel construction. However, the prediction results by the ordinary surface settlement prediction model often bring significant errors because the complex influence of existing tunnels on the surface settlement caused by the excavation of new tunnels is always neglected. Based on the equivalent layered method and stochastic medium theory, a prediction model for the surface settlement due to excavating a new tunnel under an existing tunnel in the heterogeneous stratum was established. By equating the bending stiffness of an existing tunnel before and after applying the equivalent layered method, the layer index was determined. The critical parameters of the stochastic medium theory were derived based on the relationship between the critical parameters of both the Peck empirical formula and the stochastic medium theory. The surface settlement of some typical projects was predicted and compared by the prediction model in this paper and the ordinary prediction model. The comparison shows that the proposed prediction model and parameter determination method in this paper had high accuracy and applicability. The results of the prediction model in this paper fit the results of numerical calculation. The research of this paper can provide a new method for the theoretical prediction of surface settlement caused by the excavation of a new tunnel under an existing tunnel in the heterogeneous stratum and the determination of critical parameters of the stochastic medium theory.problem in the construction industry, and helps reducing the material waste and budget cost.
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References
Bai JW, Li SC, Jiang YJ, Liu RT, Li ZF, Li W (2019) An extension theoretical model for grouting effect evaluation in sand stratum of metro construction. KSCE Journal of Civil Engineering 23(5):2349–2358, DOI: https://doi.org/10.1007/s12205-019-1128-5
Cai HB, Liu Z, Li S, Zheng TL (2019) Improved analytical prediction of ground frost heave during tunnel construction using artificial ground freezing technique. Tunnelling and Underground Space Technology 92:103050, DOI: https://doi.org/10.1016/j.tust.2019.103050
Chen ZM, Fan CH, Wen Y, Huang LX, Ren Y (2021) Research on settlement deformation and control criteria of ultra-shallow tunnel underpassing pipeline. Highway 66(09):371–378 (in Chinese)
Gong XN (2002) Mechanics. China Architecture and Building Press, Beijing, China (in Chinese)
Gonzalez C, Sagaseta C (2001) Patterns of soil deformations around tunnels. Application to the extension of Madrid Metro. Computers and Geotechnics 28(6):445–468, DOI: https://doi.org/10.1016/S0266-352X(01)00007-6
Han X (2007) Research on practical method for prediction of ground displacement and building deformation caused by tunnel construction. PhD Thesis, Xi’an University of Technology, Xian, China (in Chinese)
Han X, Li N (2007a) Comparative analysis of strata prediction models for ground movement induced by tunnel construction. Chinese Journal of Rock Mechanics and Engineering 26(3):594–600 (in Chinese)
Han X, Li N (2007b) A predicting model for ground movement induced by non-uniform convergence of tunnel. Chinese Journal of Geotechnical Engineering 29(3):347–352 (in Chinese)
Heng CY, Sun S Zhou Z, Zhang JT (2019) Prediction of surface settlement with ultra-shallow-burial and large rectangular cross-section urban underpass. KSCE Journal of Civil Engineering 23(11):4641–4650, DOI: https://doi.org/10.1007/s12205-019-2406-y
Lee KM, Rowe RK, Lo KY (1992) Subsidence owing to tunnelling. I. Estimating the gap parameter. Canadian Geotechnical Journal 29(6):929–940, DOI: https://doi.org/10.1139/t92-104
Lei HY, Zhang YJ, Feng SX, Sun XF, Hao Q, Jiang MJ (2021) Grey relational analysis of cumulative plastic deformation and microscopic parameters of soft clay under cyclic loading. Journal of Tianjin University(Science and Technology) 54(3):245–254 (in Chinese)
Li SH, Li C, Yao D (2020) Functional relationship of parameters in different theoretical models for ground settlement caused by shield tunneling. KSCE Journal of Civil Engineering 24(1):310–321 DOI: https://doi.org/10.1007/s12205-020-1418-y
Lin ZJ (2013) Research on construction influence and control technology of subway shield tunnel under existing high-speed railway tunnel. MSc Thesis, Central South University, Changsha, China (in Chinese)
Liu B, Yang WH, Zhang G, Gao L (2018) A prediction model based on stochastic medium theory for ground surface settlement induced by non-uniform tunnel deformation. Chinese Journal of Rock Mechanics and Engineering 37(8):1943–1952 (in Chinese)
Liu BC, Yang JS (2002) Surface movement and deformation caused by urban tunnel construction. China Railway Publishing House, Beijing, China (in Chinese)
Loganathan N (1998) Analytical prediction for tunneling-induced ground movements in clays. Journal of Geotechnical and Geoenvironmental Engineering 124(9):846–856, DOI: https://doi.org/10.1061/(ASCE)1090-0241(1998)124:9(846)
Mei Y, Song QY (2021) Analytical solution for settlement of homogeneous structure where the tunnel passes underneath and its application. KSCE Journal of Civil Engineering 25(9):3556–3567, DOI: https://doi.org/10.1007/S12205-021-1565-9
Meng D, Zang XG, Yu GM, Yuan CF (2012) Comparative study of analytical methods for ground surface settelment induced by subway station construction. Chinese Journal of Rock Mechanics and Engineering 31(6):1169–1177 (in Chinese)
O’Reilly MP, New BM (1982) Settlements above tunnels in the United Kingdom-Their magnitude and prediction. In: Proceedings of 3rd international symposium. Institution of Mining and Metallurgy, London, UK, 173–181
Ouyang WB, Ding WQ, Xie DW (2013) Calculation method for settlement due to shield tunnelling considering. Chinese Journal of Underground Space and Engineering 9(1):155–160 (in Chinese)
Shi CH, Cao CY, Lei MF (2017) An analysis of the ground deformation caused by shield tunnel construction combining an elastic half-space model and stochastic medium theory. KSCE Journal of Civil Engineering 21(5):1933–1944, DOI: https://doi.org/10.1007/s12205-016-0804-y
Sun YK, Wu WY, Zhang TQ (2009) Effects analysis of the existing buried pipelines on the ground settlement induced by shield tunneling. China Railway Science 30(3):63–67 (in Chinese)
Tong L, Xie KH, Cheng YF, Lu MM, Wang K (2009) Elastic solution of sallow tunnels in clays considering oval deformation of ground. Rock and Soil Mechanics 30(2):393–398 (in Chinese)
Wang C, Qin YJ, Yu GM, Gao LY (2018) Study on prediction of ground surface settlement caused by construction of shallow buried tunnel based on non-uniform random medium model. Railway Standard Design 62(1):104–109 (in Chinese)
Yang JS, Liu BC, Wang MC (2004) Modeling of tunneling-induced ground surface movements using stochastic medium theory. Tunnelling and Underground Space Technology 19(2):113–123, DOI: https://doi.org/10.1016/j.tust.2003.07.002
Wu ZZ (2010) Stochastic medium predicting model of ground movement tunneling based on non-uniform convergence mode. Journal of Central South University (Science and Technology) 41(5):2005–2010 (in Chinese)
Yang GT, Xiang YY, Zhang F (2005) Analysis of ground movements due to shield tunneling by using a gap-parameter model. Rock and Soil Mechanics (10):81–85 (in Chinese)
Yang XF, Yuan H, Wu JY, Zhang HM (2014) Analysis of the ground surface settlement of metro tunnel by using Peck formula. Advanced Materials Research 3696:414–420, DOI: https://doi.org/10.4028/www.scientific.net/AMR.1065-1069.414
Zeng B, Huang D (2016) Soil deformation induced by Double-O-Tube shield tunneling with rolling based on stochastic medium theory. Tunnelling and Underground Space Technology 60:165–177, DOI: https://doi.org/10.1016/j.tust.2016.09.001
Zhang ZG, Yang X, Gong JF, Wang WD (2017) Complex variable analysis of soil displacement and liner deformation induced by shield excavation. Chinese Journal of Geotechnical Engineering 39(9):1626–1635 (in Chinese)
Zhou Z, Chen Y, Liu ZZ, Miao LW (2020) Theoretical prediction model for deformations caused by construction of new tunnels undercrossing existing tunnels based on the equivalent layered method. Computers and Geotechnics 123:103565, DOI: https://doi.org/10.1016/j.compgeo.2020.103565
Zhu CH, Li N (2017) Estimation and regularity analysis of maximal surface settlement induced by subway construction. Chinese Journal of Rock Mechanics and Engineering (S1):3543–3560 (in Chinese)
Acknowledgments
This study was financially supported by the National Key R&D Program of China(2018YFC0808703, 2018YFC0808704) and the National Natural Science Foundation of China (52178391). These supports were greatly appreciated.
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Xu, Q., Lei, S., Zhu, Y. et al. Theoretical Prediction Model for Surface Settlement Caused by the Excavation of New Tunnels Undercrossing Existing Tunnels Based on Modified Stochastic Medium Theory. KSCE J Civ Eng 26, 4136–4145 (2022). https://doi.org/10.1007/s12205-022-1911-6
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DOI: https://doi.org/10.1007/s12205-022-1911-6