Face stability analysis for a longitudinally inclined tunnel in anisotropic cohesive soils

Abstract

A stability analysis approach of tunnel face considering a longitudinally inclined tunnel angle and anisotropic purely cohesive soils based on a continuous velocity field (CVF) is investigated in this study. Based on the kinematic approach of limit analysis and the discretization technique, an improved three-dimensional CVF model for longitudinally inclined tunnels driven by pressurized shields is proposed. With the proposed model, the critical support pressure acted on tunnel face is determined by the work-balance equation. A serial of finite element numerical models are conducted to validate the proposed model. Finally, the effects of tunnel inclination angles, several dimensionless parameters as well as soil anisotropy on the critical support pressure are investigated. The numerical results show that the effects of the soil anisotropy and the tunnel inclination angle on tunnel faces should be considered in the actual design of tunneling engineering.

Keywords

limit analysis / tunnel face / cohesive soils / inclination angle / anisotropy

References

[1] WangH, ZhengP-Q, ZhaoW-J, TianH-M. Application of a combined supporting technology with U-shaped steel support and anchor-grouting to surrounding soft rock reinforcement in roadway [J]. Journal of Central South University, 2018, 25(5): 1240-1250

[2] YangZ-H, ZhangR, XuJ-S, YangX-L. Energy analysis of rock plug thickness in karst tunnels based on non-associated flow rule and nonlinear failure criterion [J]. Journal of Central South University, 2017, 24(12): 2940-2950

[3] ZouJ-F, QianZ-H, XiangX-H, ChenG-H. Face stability of a tunnel excavated in saturated nonhomogeneous soils [J]. Tunnelling and Underground Space Technology, 2019, 83(1): 1-17

[4] ZouJ-F, ZhangP-H. Analytical model of fully grouted bolts in pull-out tests and in situ rock masses [J]. International Journal of Rock Mechanics and Mining Sciences, 2019, 113(1): 278-294

[5] YangX-L, LiuZ-A. Reliability analysis of three-dimensional rock slope [J]. Geomechanics and Engineering, 2018, 15(6): 1183-1191

[6] WANG Ling, ZOU Jin-feng, SHENG Yu-ming. An improved stress and strain-increment-approaches for circular tunnel in strain-softening surrounding rock considering the seepage force [J]. Advances in Materials Science and Engineering. 2019.

[7] ZouJ-F, WangF, WeiA. A semi-analytical solution for shallow tunnels with radius-iterative-approach in semi-infinite space [J]. Applied Mathematical Modelling, 2019, 73: 285-302

[8] KlarA, OsmanA S, BoltonM D. 2D and 3D upper bound solutions for tunnel excavation using ‘elastic’ flow fields [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007, 31(12): 1367-1374

[9] PanQ-J, DiasD. Upper-bound analysis on the face stability of a non-circular tunnel [J]. Tunnelling and Underground Space Technology, 2017, 62: 96-102

[10] ZhangF, GaoY-F, WuY-X, WangZ-X. Face stability analysis of large-diameter slurry shield-driven tunnels with linearly increasing undrained strength [J]. Tunnelling and Underground Space Technology, 2018, 78: 178-187

[11] ChenW FLimit analysis and soil plasticity [M], 1975, Amsterdam, Elsevier

[12] ChenG-H, ZouJ-F, QianZ-H. An improved collapse analysis mechanism for the face stability of shield tunnel in layered soils [J]. Geomechanics and Engineering, 2019, 17(1): 97-107

[13] ZouJ-F, ChenG-H, QianZ-H. Tunnel face stability in cohesion-frictional soils considering the soil arching effect by improved failure models [J]. Computers & Geotechnics, 2019, 106(2): 1-17

[14] SchofieldA N. Cambridge geotechnical centrifuge operations [J]. Géotechnique, 1980, 30(3): 227-268

[15] OsmanA S, MairR J, BoltonM D. On the kinematics of 2D tunnel collapse in undrained clay [J]. Géotechnique, 2006, 56(9): 585-595

[16] MollonG, DiasD, SoubraA H. Continuous velocity fields for collapse and blowout of a pressurized tunnel face in purely cohesive soil [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2012, 37(13): 2061-2083

[17] LingD-X, GuoL-P, HeY. Influence of longitudinal slope on the lighting design of entrance section of urban underground tunnel [J]. Modern Transportation Technology, 2018, 15(6): 35-39(in Chinese)

[18] ChenG-H, ZouJ-F, MinQ, GuoW-J, ZhangT-Z. Face stability analysis of a shallowsquare tunnel in non-homogeneous soils [J]. Computers & Geotechnics, 2019, 114: 103-112

[19] ZouJ-F, YangT, WangL, GuoW-J, HuangF-L. A numerical stepwise approach for cavityexpansion problem in strain-softening rock or soil mass [J]. Geomechanics and Engineering, 2019, 18(3): 225-234

[20] Al-KarniA A, Al-ShamraniM A. Study of the effect of soil anisotropy on slope stability using method of slices [J]. Computers & Geotechnics, 2000, 26(2): 83-103

[21] ToyotaH, SusamiA, TakadaS. Anisotropy of undrained shear strength induced by K₀ consolidation and swelling in cohesive soils [J]. International Journal of Mechanics, 2014, 14(2): 04014019

[22] ReddyA S, RaoK N. Bearing capacity of strip footing on anisotropic and nonhomogeneous clays [J]. Soils and Foundations, 1981, 2111-6

[23] LeeK M, RoweR K. Effects of undrained strength anisotropy on surface subsidences induced by the construction of shallow tunnels [J]. Canadian Geotechnical Journal, 1989, 26(2): 279-291

[24] ZhouZ, XingK, YangH, WangH. Experimental analysis of damage mechanism of soil-rock mixture after freeze-thaw cycles [J]. Journal of Central South University, 2019, 26(1): 13-24

[25] PanQ-J, DiasD. Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach [J]. International Journal of Mechanics, 2015, 16(3): 04015076

[26] LiangQ, YaoC, XuJ-S. Upper bound stability analysis of shield tunnel face in nonhomogeneous and anisotropic soils [J]. Indian Geotechnical Journal, 2017, 473338-348

[27] XuJ-S, YangX-L. Seismic stability of 3D soil slope reinforced by geosynthetic with nonlinear failure criterion [J]. Soil Dynamics and Earthquake Engineering, 2019, 118: 86-97

[28] LiY-X, YangX-L. Soil-slope stability considering effect of soil-strength nonlinearity [J]. International Journal of Geomechanics, 2019, 19(3): 04018201

[29] LiZ-W, YangX-L. Active earth thrust considering tension crack, pore-water pressure and soil nonlinearity [J]. KSCE Journal of Civil Engineering, 2019, 23156-62

[30] LuoW J, YangX-L. 3D stability of shallow cavity roof with arbitrary profile under influence of pore water pressure [J]. Geomechanics and Engineering, 2018, 16(6): 569-575

[31] RanjbarK A, GanjianN, AskariF. Pseudo-static analysis of cantilever retaining walls using upper bound limit analysis approach [J]. Journal of Central South University, 2019, 26(1): 241-255

[32] ZouJ-F, LiuS-X, LiJ-B, QianZ-H. Face stability analysis for a shield-driven tunnel with non-linear yield criterion [J]. Proceedings of the Institution of Civil Engineers - Geotechnical Engineering, 2019, 172(3): 243-254

[33] ZhaoL-H, TanY-G, NieZ-H, YangX-P, HuS-H. Variation analysis of ultimate pullout capacity of shallow horizontal strip anchor plate with 2-layer overlying soil based on nonlinear M-C failure criterion [J]. Journal of Central South University, 2018, 25(11): 2802-2818

[34] UkritchonB, YingchaloenkitkhajornK, KeawsawasvongS. Three-dimensional undrained tunnel face stability in clay with a linearly increasing shear strength with depth [J]. Computers & Geotechnics, 2017, 88: 146-151

[35] IbrahimE, SoubraA H, MollonG, RaphaelW, DiasD, RedaA. Three-dimensional face stability analysis of pressurized tunnels driven in a multilayered purely frictional medium [J]. Tunnelling and Underground Space Technology, 2015, 49: 18-34