Three-dimensional finite difference analysis of shallow sprayed concrete tunnels crossing a reverse fault or a normal fault: A parametric study

Abstract

Urban tunnels crossing faults are always at the risk of severe damages. In this paper, the effects of a reverse and a normal fault movement on a transversely crossing shallow shotcreted tunnel are investigated by 3D finite difference analysis. After verifying the accuracy of the numerical simulation predictions with the centrifuge physical model results, a parametric study is then conducted. That is, the effects of various parameters such as the sprayed concrete thickness, the geo-mechanical properties of soil, the tunnel depth, and the fault plane dip angle are studied on the displacements of the ground surface and the tunnel structure, and on the plastic strains of the soil mass around tunnel. The results of each case of reverse and normal faulting are independently discussed and then compared with each other. It is obtained that deeper tunnels show greater displacements for both types of faulting.

Keywords

urban tunnel / sprayed concrete / reverse fault / normal fault / finite difference analysis

References

[1] Baziar M H, Nabizadeh A, Lee C J, Hung W Y. Centrifuge modeling of interaction between reverse faulting and tunnel. Soil Dynamics and Earthquake Engineering, 2014, 65: 151–164

[2] Baziar M H, Nabizadeh A, Mehrabi R, Lee C J, Hung W Y. Evaluation of underground tunnel response to reverse fault rupture using numerical approach. Soil Dynamics and Earthquake Engineering, 2016, 83: 1–17

[3] Kiani M, Akhlaghi T, Ghalandarzadeh A. Experimental modeling of segmental shallow tunnels in alluvial affected by normal faults. Tunnelling and Underground Space Technology, 2016, 51: 108–119

[4] Lin M L, Chung C F, Jeng F S, Yao T C. The deformation of overburden soil induced by thrust faulting and its impact on underground tunnels. Engineering Geology, 2007, 92(3–4): 110–132

[5] Wang Z, Zhang Z, Gao B. Seismic behavior of the tunnel across active fault. In: The 15th World Conference on Earthquake Engineering. Lisbon, 2012

[6] Lin M L, Chung C F, Jeng F S. Deformation of overburden soil induced by thrust fault slip. Engineering Geology, 2006, 88(1–2): 70–89

[7] Loukidis D, Bouckovalas G D, Papadimitriou A G. Analysis of fault rupture propagation through uniform soil cover. Soil Dynamics and Earthquake Engineering, 2009, 29(11–12): 1389–1404

[8] Mortazavi Zanjani M, Soroush A. Numerical modelling of fault rupture propagation through layered sands. European Journal of Environmental and Civil Engineering, 2017, 23(9): 1139–1155

[9] Hazeghian M, Soroush A. DEM simulations to study the effects of the ground surface geometry on dip-slip faulting through granular soils. European Journal of Environmental and Civil Engineering, 2020, 24(7): 861–879

[10] Anastasopoulos I, Callerio A, Bransby M F, Davies M C R, Nahas A E, Faccioli E, Gazetas G, Masella A, Paolucci R, Pecker A, Rossignol E. Numerical analyses of fault-foundation interaction. Bulletin of Earthquake Engineering, 2008, 6(4): 645–675

[11] Anastasopoulos I, Gazetas G. Foundation-structure systems over a rupturing normal fault: Part II. Analysis of the Kocaeli case histories. Bulletin of Earthquake Engineering, 2007, 5(3): 277–301

[12] Bransby M, Davies M, El Nahas A, Nagaoka S. Centrifuge modelling of reverse fault-foundation interaction. Bulletin of Earthquake Engineering, 2008, 6(4): 607–628

[13] Bransby M, Davies M, Nahas A E. Centrifuge modelling of normal fault-foundation interaction. Bulletin of Earthquake Engineering, 2008, 6(4): 585–605

[14] Ng C W W, Soomro M A, Hong Y. Three-dimensional centrifuge modelling of pile group responses to side-by-side twin tunnelling. Tunnelling and Underground Space Technology, 2014, 43: 350–361

[15] Soomro M A, Ng C W W, Liu K, Memon N A. Pile responses to side-by-side twin tunnelling in stiff clay: Effects of different tunnel depths relative to pile. Computers and Geotechnics, 2017, 84: 101–116

[16] Kiani M. Effects of Surface Fault Rupture on Shallow Segmental Soil Tunnels-Centrifuge Modeling. Tabriz: University of Tabriz, 2016 (in Persian)

[17] Do N A, Dias D. A comparison of 2D and 3D numerical simulations of tunnelling in soft soils. Environmental Earth Sciences, 2017, 76(3): 102

[18] Do N A, Dias D, Oreste P. 2D seismic numerical analysis of segmental tunnel lining behaviour. Bulletin of the New Zealand Society for Earthquake Engineering, 2014, 47(3): 206–216

[19] Do N A, Dias D, Oreste P. Numerical investigation of segmental tunnel linings-comparison between the hyperstatic reaction method and a 3D numerical model. Geomechanics and Engineering, 2018, 14(3): 293–299

[20] Do N A, Dias D, Oreste P, Djeran-Maigre I. 2D numerical investigations of twin tunnel interaction. Geomechanics & Engineering, 2014, 6(3): 263–275

[21] Do N A, Dias D, Oreste P, Djeran-Maigre I. The behaviour of the segmental tunnel lining studied by the hyperstatic reaction method. European Journal of Environmental and Civil Engineering. 2014, 18(4): 489–510

[22] Do N A, Dias D, Oreste P. 3D numerical investigation on the interaction between mechanized twin tunnels in soft ground. Environmental Earth Sciences, 2015, 73(5): 2101–2113

[23] Do N A, Dias D, Oreste P, Djeran-Maigre I. 2D numerical investigation of segmental tunnel lining behavior. Tunnelling and Underground Space Technology, 2013, 37: 115–127

[24] Do N A, Dias D, Oreste P, Djeran-Maigre I. 2D tunnel numerical investigation: The influence of the simplified excavation method on tunnel behaviour. Geotechnical and Geological Engineering, 2014, 32(1): 43–58

[25] Do N A, Dias D, Oreste P, Djeran-Maigre I. Three-dimensional numerical simulation for mechanized tunnelling in soft ground: The influence of the joint pattern. Acta Geotechnica, 2014, 9(4): 673–694

[26] Do N A, Dias D, Oreste P, Djeran-Maigre I. Three-dimensional numerical simulation of a mechanized twin tunnels in soft ground. Tunnelling and Underground Space Technology, 2014, 42: 40–51

[27] Do N A, Dias D, Oreste P, Djeran-Maigre I. Behaviour of segmental tunnel linings under seismic loads studied with the hyperstatic reaction method. Soil Dynamics and Earthquake Engineering, 2015, 79: 108–117

[28] Rabczuk T, Ren H, Zhuang X. A nonlocal operator method for partial differential equations with application to electromagnetic waveguide problem. Computers, Materials & Continua, 2019, 59(1): 31–35

[29] Guo H, Zhuang X, Rabczuk T. A deep collocation method for the bending analysis of Kirchhoff plate. Computers, Materials & Continua, 2019, 59(2): 433–456

[30] Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59(1): 345–359

[31] Itasca. Fast Lagrangian Analysis of Continua in 3-Dimension (FLAC3D V3.1). Itasca Consulting Group, 2007

[32] Areias P, Rabczuk T. Steiner-point free edge cutting of tetrahedral meshes with applications in fracture. Finite Elements in Analysis and Design, 2017, 132: 27–41

[33] Liu G, Zhuang X, Cui Z. Three-dimensional slope stability analysis using independent cover based numerical manifold and vector method. Engineering Geology, 2017, 225: 83–95

[34] Zhang Y, Lackner R, Zeiml M, Mang H A. Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations. Computer Methods in Applied Mechanics and Engineering, 2015, 287: 335–366

[35] Zhang Y, Zhuang X, Lackner R. Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization. International Journal for Numerical and Analytical Methods in Geomechanics, 2018, 42(11): 1199–1216

[36] Ren H, Zhuang X, Rabczuk T. Dual-horizon peridynamics: A stable solution to varying horizons. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 762–782

[37] Zhang Y, Zhuang X. Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle fracture. Finite Elements in Analysis and Design, 2018, 144: 84–100

[38] Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455

[39] Zhang Y, Zhuang X. Cracking elements method for dynamic brittle fracture. Theoretical and Applied Fracture Mechanics, 2019, 102: 1–9

[40] Zhang Y. Multi-slicing strategy for the three-dimensional discontinuity layout optimization (3D DLO). International Journal for Numerical and Analytical Methods in Geomechanics, 2017, 41(4): 488–507

[41] Sloan S W. Upper bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 1989, 13(3): 263–282

[42] Areias P, Reinoso J, Camanho P P, César de Sá J, Rabczuk T. Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation. Engineering Fracture Mechanics, 2018, 189: 339–360

[43] Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343

[44] Ren H, Zhuang X, Cai Y, Rabczuk T. Dual-horizon peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451–1476

[45] Martínez-Galván S A, Romo M P. Assessment of an alternative to deep foundations in compressible clays: The structural cell foundation. Frontiers of Structural and Civil Engineering, 2018, 12(1): 67–80

[46] Yang X, Han J, Parsons R L, Leshchinsky D. Three-dimensional numerical modeling of single geocell-reinforced sand. Frontiers of Architecture and Civil Engineering in China, 2010, 4(2): 233–240

[47] Atkinson J. The Mechanics of Soils and Foundations. London: Taylor & Francis, 2007

[48] Hicks M A, Samy K. Influence of heterogeneity on undrained clay slope stability. Quarterly Journal of Engineering Geology and Hydrogeology, 2002, 35(1): 41–49

[49] Hamdia K M, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227

[50] Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

[51] Das B M, Sobhan K. Principles of Geotechnical Engineering. California: Thomson Learning, 2013

[52] Ortiz J M R, Gesta J S, Mazo C O. Infrastructure Application Course. Madrid: Publishing Office of the Official Institute of Architects, 1986 (in Spanish)

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