Undrained Stability of Opening in Underground Walls in Anisotropic Clays
Publication: International Journal of Geomechanics
Volume 23, Issue 2
Abstract
A two-dimensional (2D) finite-element limit analysis (FELA) was performed under plane strain conditions to investigate the undrained stability of tunnel launch with a rigid wall in anisotropic clays. The anisotropic undrained shear (AUS) failure criteria were applied to identify anisotropic soil behaviors. The average bound solutions were employed to compute the stability load factor. Different sensitivity analyses were carried out to determine the effect of cover–depth ratio (C/D), overburden factor (γD/suTC), and anisotropic strength ratio (re) on the load factor (N) of the opening in tunnel launching with a rigid wall. The failure patterns that were predicted by certain parameters were explored and investigated. To adopt a practical approach, some new design charts for the undrained stability of tunnel launching with a rigid wall in anisotropic clays were devised.
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Data Availability Statement
All the data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
We would like to thank Ho Chi Minh City University of Technology (HCMUT), VNU-HCM for the support of time and facilities for this study.
References
Assadi, A., and S. W. Sloan. 1991. “Undrained stability of shallow square tunnel.” J. Geotech. Eng. 117 (8): 1152–1173. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:8(1152).
Augarde, C. E., A. V. Lyamin, and S. W. Sloan. 2003. “Stability of an undrained plane strain heading revisited.” Comput. Geotech. 30 (5): 419–430. https://doi.org/10.1016/S0266-352X(03)00009-0.
Barla, M., M. Camusso, and S. Aiassa. 2006. “Analysis of jacking forces during microtunnelling in limestone.” Tunnelling Underground Space Technol. 21 (6): 668–683. https://doi.org/10.1016/j.tust.2006.01.002.
Casagrande, A., and N. Carillo. 1944. “Shear failure of anisotropic soils.” Contrib. Soil Mech. 1941–1953 (4): 122–135.
Chapman, D. N., and Y. Ichioka. 1999. “Prediction of jacking forces for microtunnelling operations.” Tunnelling Underground Space Technol. 14 (1): 31–41. https://doi.org/10.1016/S0886-7798(99)00019-X.
Cui, Q.-L., Y.-S. Xu, S.-L. Shen, Z.-Y. Yin, and S. Horpibulsuk. 2015. “Field performance of concrete pipes during jacking in cemented sandy silt.” Tunnelling Underground Space Technol. 49: 336–344. https://doi.org/10.1016/j.tust.2015.05.005.
Davis, E. H., and J. T. Christian. 1971. “Bearing capacity of anisotropic cohesive soil.” J. Soil Mech. Found. Div. 97 (5): 753–769. https://doi.org/10.1061/JSFEAQ.0001594.
Davis, E. H., M. J. Gunn, R. J. Mair, and H. N. Seneviratne. 1980. “The stability of shallow tunnels and underground openings in cohesive material.” Géotechnique 30 (4): 397–416. https://doi.org/10.1680/geot.1980.30.4.397.
Drucker, D. C., W. Prager, and H. J. Greenberg. 1952. “Extended limit design theorems for continuous media.” Q. Appl. Math. 9: 381–389. https://doi.org/10.1090/qam/45573.
Fathipour, H., A. S. Siahmazgi, M. Payan, M. Veiskarami, and R. Jamshidi Chenari. 2021. “Limit analysis of modified pseudo-dynamic lateral earth pressure in anisotropic frictional medium using finite-element and second-order cone programming.” Int. J. Geomech. 21 (2): 04020258. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001924.
Foroutan Kalourazi, A., R. Jamshidi Chenari, and M. Veiskarami. 2020. “Bearing capacity of strip footings adjacent to anisotropic slopes using the lower bound finite element method.” Int. J. Geomech. 20 (11): 04020213. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001858.
Guglielmetti, V., P. Grasso, A. Mahtab, and S. Xu. 2008. Mechanized tunnelling in urban areas – design methodology and construction control. London: Taylor & Francis Group.
Huang, M., and C. Song. 2013. “Upper-bound stability analysis of a plane strain heading in non-homogeneous clay.” Tunnelling Underground Space Technol. 38: 213–223. https://doi.org/10.1016/j.tust.2013.07.012.
Izadi, A., and R. Jamshidi Chenari. 2021. “Three-dimensional finite-element lower bound solutions for lateral limit load of piles embedded in cross-anisotropic clay deposits.” Int. J. Geomech. 21 (12): 04021234. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002208.
Izadi, A., M. Nazemi Sabet Soumehsaraei, R. Jamshidi Chenari, and A. Ghorbani. 2019. “Pseudo-static bearing capacity of shallow foundations on heterogeneous marine deposits using limit equilibrium method.” Marine Georesources & Geotechnology 37 (10): 1163–1174. https://doi.org/10.1080/1064119X.2018.1539535.
Jamali, N., M. Veiskarami, and R. Jamshidi Chenari. 2021. “An investigation on the settlement of shallow foundations resting on cross-anisotropic soil deposits.” Iran. J. Sci. Technol. Trans. Civ. Eng. 45 (3): 1769–1790. https://doi.org/10.1007/s40996-020-00476-9.
Jamshidi Chenari, R., and A. Mahigir. 2014. “The effect of spatial variability and anisotropy of soils on bearing capacity of shallow foundations.” Civ. Eng. Infrastruct. J. 47 (2): 199–213.
Keawsawasvong, S. 2021. “Bearing capacity of conical footings on clays considering combined effects of anisotropy and non-homogeneity.” Ships Offshore Struct.
Keawsawasvong, S., and V. Q. Lai. 2021. “End bearing capacity factor for annular foundations embedded in clay considering the effect of the adhesion factor.” Int. J. Geosynth. Ground Eng. 7 (1): 1–10. https://doi.org/10.1007/s40891-021-00261-2.
Keawsawasvong, S., J. Shiau, C. Ngamkhanong, V. Q. Lai, and C. Thongchom. 2022. “Undrained stability of ring foundations: Axisymmetry, anisotropy, and non-homogeneity.” Int. J. Geomech.
Keawsawasvong, S., and B. Ukritchon. 2021a. “Design equation for stability of a circular tunnel in an anisotropic and heterogeneous clay.” Underground Space.
Keawsawasvong, S., and B. Ukritchon. 2021b. “Undrained stability of plane strain active trapdoors in anisotropic and non-homogeneous clays.” Tunnelling Underground Space Technol. 107: 103628. https://doi.org/10.1016/j.tust.2020.103628.
Keawsawasvong, S., K. Yoonirundorn, and T. Senjuntichai. 2021. “Pullout capacity factor for cylindrical suction caissons in anisotropic clays based on Anisotropic Undrained Shear failure criterion.” Transp. Infrastruct. Geotechnol.
Krabbenhøft, K. 2021. “Undrained failure criteria for isotropic and anisotropic soils.” J. Eng. Mech. 147 (8): 06021004. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001940.
Krabbenhøft, K., S. A. Galindo-Torres, X. Zhang, and J. Krabbenhøft. 2019. “AUS: Anisotropic undrained shear strength model for clays.” Int. J. Numer. Anal. Methods Geomech. 43 (17): 2652–2666. https://doi.org/10.1002/nag.2990.
Krabbenhøft, K., and A. V. Lyamin. 2015. “Generalised Tresca criterion for undrained total stress analysis.” Géotechnique Letters 5: 313–317. https://doi.org/10.1680/jgele.15.00120.
Ladd, C. C. 1991. “Stability evaluation during staged construction.” J. Geotech. Eng. 117 (4): 540–615. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:4(540).
Lai, V. Q., D. K. Nguyen, R. Banyong, and S. Keawsawasvong. 2022. “Limit analysis solutions for stability factor of unsupported conical slopes in clays with heterogeneity and anisotropy.” Int. J. Comput. Mater. Sci. Eng. 11 (01): 2150030. https://doi.org/10.1142/S2047684121500305.
Li, Y., F. Emeriault, R. Kastner, and Z. X. Zhang. 2009. Stability analysis of large slurry shield-driven tunnel in soft clay. Tunnelling Underground Space Technol. 24 (4): 472–481.
Mirmoazen, S. M., S. H. Lajevardi, S. M. Mirhosseini, M. Payan, and R. Jamshidi Chenari. 2021. “Active lateral earth pressure of geosynthetic-reinforced retaining walls with inherently anisotropic frictional backfills subjected to strip footing loading.” Comput. Geotech. 137: 104302. https://doi.org/10.1016/j.compgeo.2021.104302.
Nguyen, D. K., T. P. Nguyen, S. Keawsawasvong, and V. Q. Lai. 2022. “Vertical uplift capacity of circular anchors in clay by considering anisotropy and non-homogeneity.” Transp. Infrastruct. Geotechnol. 9 (5): 653–672. https://doi.org/10.1007/s40515-021-00191-6.
Ou, C. Y. 2006. Deep excavation, theory and practice. London: Taylor & Francis Group.
OptumCE. 2020. Optum computational engineering. Copenhagen, Denmark: OptumG2.
Pakdel, P., R. Jamshidi Chenari, and M. Veiskarami. 2019. “An estimate of the bearing capacity of shallow foundations on anisotropic soil by limit equilibrium and soft computing technique.” Geomech. Geoeng. 14 (3): 202–217. https://doi.org/10.1080/17486025.2019.1581276.
Pakdel, P., R. Jamshidi Chenari, and M. Veiskarami. 2021. “Seismic bearing capacity of shallow foundations rested on anisotropic deposits.” Int. J. Geotech. Eng. 15 (2): 181–192. https://doi.org/10.1080/19386362.2019.1655983.
Shiau, J., and F. Al-Asadi. 2018. “Revisiting broms and bennermarks” original stability number for tunnel headings.” Géotechnique Lett. 5: 1–20.
Sloan, S. W. 2013. “Geotechnical stability analysis.” Géotechnique 63 (7): 531–571. https://doi.org/10.1680/geot.12.RL.001.
Sloan, S. W., and A. Assadi. 1991. “Undrained stability of a square tunnel in a soil whose strength increases linearly with depth.” Comput. Geotech. 12 (4): 321–346. https://doi.org/10.1016/0266-352X(91)90028-E.
Sloan, S. W., and A. Assadi. 1994. “Undrained stability of a plane strain heading.” Can. Geotech. J. 31: 443–450. https://doi.org/10.1139/t94-051.
Ukritchon, B., and S. Keawsawasvong. 2017. “Design equations for undrained stability of opening in underground walls.” Tunnelling Underground Space Technol. 70: 214–220. https://doi.org/10.1016/j.tust.2017.08.004.
Ukritchon, B., and S. Keawsawasvong. 2018. “Lower bound limit analysis of an anisotropic undrained strength criterion using second-order cone programming.” Int. J. Numer. Anal. Methods Geomech. 42 (8): 1016–1033. https://doi.org/10.1002/nag.2781.
Ukritchon, B., and S. Keawsawasvong. 2019a. “Stability of retained soils behind underground walls with an opening using lower bound limit analysis and second-order cone programming.” Geotech. Geol. Eng. 37 (3): 1609–1625. https://doi.org/10.1007/s10706-018-0710-9.
Ukritchon, B., and S. Keawsawasvong. 2019b. “Three-dimensional lower bound finite element limit analysis of an anisotropic undrained strength criterion using second-order cone programming.” Comput. Geotech. 106: 327–344. https://doi.org/10.1016/j.compgeo.2018.11.010.
Ukritchon, B., and S. Keawsawasvong. 2019c. “Lower bound solutions for undrained face stability of plane strain tunnel headings in anisotropic and non-homogeneous clays.” Comput. Geotech. 112: 204–217. https://doi.org/10.1016/j.compgeo.2019.04.018.
Ukritchon, B., and S. Keawsawasvong. 2020a. “Undrained lower bound solutions for end bearing capacity of shallow circular piles in non-homogeneous and anisotropic clays.” Int. J. Numer. Anal. Methods Geomech. 44 (5): 596–632. https://doi.org/10.1002/nag.3018.
Ukritchon, B., and S. Keawsawasvong. 2020b. “Undrained stability of unlined square tunnels in clays with linearly increasing anisotropic shear strength.” Geotech. Geol. Eng. 38 (1): 897–915. https://doi.org/10.1007/s10706-019-01023-8.
Ukritchon, B., S. Keawsawasvong, and K. Yingchaloenkitkhajorn. 2017. “Undrained face stability of tunnels in Bangkok subsoils.” Int. J. Geotech. Eng. 11 (3): 262–277. https://doi.org/10.1080/19386362.2016.1214773.
Veiskarami, M., R. Jamshidi Chenari, and A. A. Jameei. 2017. “Bearing capacity of strip footings on anisotropic soils by the finite elements and linear programming.” Int. J. Geomech. 17 (12): 04017119. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001018.
Veiskarami, M., R. Jamshidi Chenari, and A. A. Jameei. 2019. “A study on the static and seismic earth pressure problems in anisotropic granular media.” Geotech. Geol. Eng. 37 (3): 1987–2005. https://doi.org/10.1007/s10706-018-0739-9.
Wilson, D. W., A. J. Abbo, S. W. Sloan, and A. V. Lyamin. 2011. “Undrained stability of a circular tunnel where the shear strength increases linearly with depth.” Can. Geotech. J. 48 (9): 1328–1342. https://doi.org/10.1139/t11-041.
Wilson, D. W., A. J. Abbo, S. W. Sloan, and A. V. Lyamin. 2013. “Undrained stability of a square tunnel where the shear strength increases linearly with depth.” Comput. Geotech. 49: 314–325. https://doi.org/10.1016/j.compgeo.2012.09.005.
Wu, G., W. Chen, H. Bian, and J. Yuan. 2017. “Structure optimisation of a diaphragm wall with special modelling methods in a large-scale circular ventilating shaft considering shield crossing.” Tunnelling Underground Space Technol. 65: 35–41. https://doi.org/10.1016/j.tust.2017.02.010.
Yamamoto, K., A. V. Lyamin, D. W. Wilson, S. W. Sloan, and A. J. Abbo. 2011a. “Stability of a single tunnel in cohesive–frictional soil subjected to surcharge loading.” Can. Geotech. J. 48 (12): 1841–1854. https://doi.org/10.1139/t11-078.
Yamamoto, K., A. V. Lyamin, D. W. Wilson, S. W. Sloan, and A. J. Abbo. 2011b. “Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading.” Comput Geotech 38 (4): 504–514. https://doi.org/10.1016/j.compgeo.2011.02.014.
Yang, F., J. Zhang, L. Zhao, and J. Yang. 2016. “Upper-bound finite element analysis of stability of tunnel face subjected to surcharge loading in cohesive-frictional soil.” KSCE J. Civ. Eng. 20 (6): 2270–2279. https://doi.org/10.1007/s12205-015-0067-z.
Yodsomjai, W., S. Keawsawasvong, and T. Senjuntichai. 2021. “Undrained stability of unsupported conical slopes in anisotropic clays based on Anisotropic Undrained Shear failure criterion.” Transp. Infrastruct. Geotechnol. 8 (4): 557–568. https://doi.org/10.1007/s40515-021-00153-y.
Zhang, D., B. Liu, and Y. Qin. 2016. “Construction of a large-section long pedestrian underpass using pipe jacking in muddy silty clay: A case study.” Tunnelling Underground Space Technol. 60: 151–164. https://doi.org/10.1016/j.tust.2016.08.009.
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© 2022 American Society of Civil Engineers.
History
Received: Apr 5, 2022
Accepted: Sep 27, 2022
Published online: Nov 22, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 22, 2023
ASCE Technical Topics:
- Anisotropy
- Clays
- Continuum mechanics
- Deformation (mechanics)
- Design (by type)
- Engineering fundamentals
- Engineering mechanics
- Geomechanics
- Geotechnical engineering
- Load factors
- Soil analysis
- Soil dynamics
- Soil mechanics
- Soil properties
- Soil stabilization
- Soils (by type)
- Solid mechanics
- Structural design
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
- Tunnels
- Walls
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