Limit Analysis for Local and Overall Stability of a Slurry Trench in Cohesive Soil
Publication: International Journal of Geomechanics
Volume 15, Issue 5
Abstract
This paper uses limit analysis to develop a two-dimensional (2D) and a three-dimensional (3D) analysis of slurry trench local and overall stability for cohesive soil. Formulas for the slurry trench stability analysis are obtained through theoretical derivation based on limit analysis theory, and rotational mechanisms are then presented for slurry trench stability. For 2D slurry trench local and overall stability, the failure surface has the shape of a circular arc, whereas it has the shape of spherical cap for 3D local stability, and it has the shape of a torus with an outline defined by a circle for 3D overall stability. Examples are provided to illustrate the safety factor influenced by the slurry and soil bulk density ratio, slurry level depth and trench depth ratio, thickness of the weak soil layer, cohesion, and trench width and depth ratio. The safety factor for the 3D solutions is approximately 1.1 times greater than the safety factor for the 2D solutions for local stability but 1.2 times greater () for overall stability.
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Acknowledgments
This research was supported financially by the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110073120012), the Shanghai Pujiang Talent plan (Grant No. 11PJ1405700), and the National Natural Science Foundation of China (Grant Nos. 41002095, 41172251, and 41272317).
References
Ahmed, A., Ugai, K., and Yang, Q. Q. (2012). “Assessment of 3D slope stability analysis methods based on 3D simplified Janbu and Hovland methods.” Int. J. Geomech., 81–89.
Alejano, L. R., Ferrero, A. M., Ramirez-Oyanguren, P., and Fernandez, M. I. A. (2011). “Comparison of limit-equilibrium, numerical and physical models of wall slope stability.” Int. J. Rock Mech. Min. Sci., 48(1), 16–26.
Ausilio, E., Conte, E., and Dente, G. (2000). “Seismic stability analysis of reinforced slopes.” Soil. Dyn. Earthquake Eng., 19(3), 159–172.
Baligh, M. M., and Azzouz, A. S. (1975). “End effects on stability of cohesive slopes.” J. Geotech. Engrg. Div., 101(GT11), 1105–1117.
Choy, C. K., Standing, J. R., and Mair, R. J. (2007). “Stability of a loaded pile adjacent to a slurry-supported trench.” Géotechnique, 57(10), 807–819.
Drucker, D. C., and Prager, W. (1952). “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math., 10(2), 157–165.
Fox, P. J. (2004). “Analytical solutions for stability of slurry trench.” J. Geotech. Geoenviron. Eng., 749–758.
Gens, A., Hutchinson, J. N., and Cavounidis, S. (1988). “Three-dimensional analysis of slides in cohesive soils.” Géotechnique, 38(1), 1–23.
Griffiths, D. V., and Marquez, R. M. (2008). “Three-dimensional slope stability analysis by elasto-plastic finite elements.” Géotechnique, 57(6), 537–546.
Hungr, O., Salgado, F. M., and Byrne, P. M. (1989). “Evaluation of a three-dimensional method of slope stability analysis.” Can. Geotech. J., 26(4), 679–686.
Kumar, J., and Sahoo, J. P. (2012). “Upper bound solution for pullout capacity of vertical anchors in sand using finite elements and limit analysis.” Int. J. Geomech., 333–337.
Li, A. J., Merifield, R. S., and Lyamin, A. V. (2010). “Three-dimensional stability charts for slopes based on limit analysis methods.” Can. Geotech. J., 47(12), 1316–1334.
Loukidis, D., Bandini, P., and Salgado, R. (2003). “Stability of seismically loaded slopes using limit analysis.” Géotechnique, 53(5), 463–479.
Mendjel, D., and Messast, S. (2012). “Development of limit equilibrium method as optimization in slope stability analysis.” Struct. Eng. Mech., 41(3), 339–348.
Michalowski, R. L. (2010). “Limit analysis and stability charts for 3D slope failures.” J. Geotech. Geoenviron. Eng., 583–593.
Michalowski, R. L., and Drescher, A. (2009). “Three-dimensional stability of slopes and excavations.” Géotechnique, 59(10), 839–850.
Morgenstern, N., and Amir-Tahmasseb, I. (1965). “The stability of a slurry trench in cohesionless soils.” Géotechnique, 15(4), 387–395.
Silvestri, V. (2006). “A three-dimensional slope stability problem in clay.” Can. Geotech. J., 43(2), 224–228.
Srivastava, A., Babu, G., and Haldar, S. (2010). “Influence of spatial variability of permeability property on steady state seepage flow and slope stability analysis.” Eng. Geol., 110(3–4), 93–101.
Stolle, D., and Guo, P. (2008). “Limit equilibrium slope stability analysis using rigid finite elements.” Can. Geotech. J., 45(5), 653–662.
Tinti, S., and Manucci, A. (2008). “A new computational method based on the minimum lithostatic deviation (MLD) principle to analyse slope stability in the frame of the 2-D limit-equilibrium theory.” Nat. Hazards Earth Syst. Sci., 8(4), 671–683.
Tutluoglu, L., Oge, I. F., and Karpuz, C. (2011). “Two and three dimensional analysis of a slope failure in a lignite mine.” Comput. Geosci., 37(2), 232–240.
Wong, G. C. Y. (1984). “Stability analysis of slurry trenches.” J. Geotech. Eng., 1577–1590.
Xia, X.-H., Han, C.-Y., and Wang, J.-H. (2012). “Analytical solutions for three-dimensional stability of limited slopes.” J. Shanghai Jiaotong Univ. (Science), 17(2), 251–256.
Xu, J. (2011). “Debris slope stability analysis using three-dimensional finite element method based on maximum shear stress theory.” Environ. Earth Sci., 64(8), 2215–2222.
Yang, F., and Yang, J. S. (2010). “Stability of shallow tunnel using rigid blocks and finite-element upper bound solutions.” Int. J. Geomech., 242–247.
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Published In
International Journal of Geomechanics
Volume 15 • Issue 5 • October 2015
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This work is made available under the terms of the Creative Commons Attribution 4.0 International license, http://creativecommons.org/licenses/by/4.0/.
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Received: Feb 2, 2012
Accepted: Oct 31, 2012
Published online: Nov 3, 2012
Published in print: Oct 1, 2015
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