Effect of Pore-Water Pressure on 3D Stability of Rock Slope
Publication: International Journal of Geomechanics
Volume 17, Issue 9
Abstract
The strength envelopes of almost all types of rocks are nonlinear over a wide range of normal stresses. This paper presents a study in which the nonlinear Hoek-Brown failure criterion was adopted and the kinematical approach of limit analysis was used to compute the three-dimensional (3D) stability of rock slope subjected to pore-water pressure. A generalized tangential technique was used to formulate a 3D stability problem as a classical optimization problem. The objective function, to be minimized with respect to the locations of the sliding body and tangency point, corresponded to dissipated energy. The pore-water pressure was incorporated into the objective function, and the effect of it on 3D stability is discussed. The numerical results for different types of rocks are presented for practical use.
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Acknowledgments
The authors received financial support from the National Basic Research 973 Program of China (Grant 2013CB036004) and the National Natural Science Foundation (Grant 51378510). They greatly appreciate these financial supports.
References
Agar, J. G., Morgenstern, N. R., and Scott, J. (1985). “Shear strength and stress-strain behaviour of Athabasca oil sand at elevated temperatures and pressure.” Can. Geotech. J., 24(1), 1–10.
Anyaegbunam, A. J. (2015). “Nonlinear power-type failure laws for geomaterials: Synthesis from triaxial data, properties, and applications.” Int. J. Geomech., 04014036.
Askari, F., and Farzaneh, O. (2008). “Pore water pressures in three dimensional slope stability analysis.” Int. J. Civ. Eng., 6(1), 15–23.
Baker, R. (2004). “Nonlinear Mohr envelopes based on triaxial data.” J. Geotech. Geoenviron. Eng., 498–506.
Bishop, A. W., and Morgenstern, N. R. (1960). “Stability coefficients for earth slopes.” Géotechnique, 10(4), 129–150.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam.
Collins, I. F., Gunn, C., Pender, M. J., and Yan, W. (1988). “Slope stability analyses for materials with a non-linear failure envelope.” Int. J. Numer. Anal. Methods Geomech., 12(5), 533–550.
Drescher, A., and Christopoulos, C. (1988). “Limit analysis slope stability with nonlinear yield condition.” Int. J. Numer. Anal. Methods Geomech., 12(3), 341–345.
Hoek, E. (1990). “Estimating Mohr-Coulomb friction and cohesion values from the Hoek-Brown failure criterion.” Int. J. Rock Mech. Mining Sci., 27(3), 227–229.
Hoek, E., Carranze-Torres, C., and Corkum, B. (2002). “Hoek-Brown failure criterion.” Proc., North American Rock Mechanics Society, Alexandria, VA, 267–273.
Michalowski, R. L., and Drescher, A. (2009). “Three-dimensional stability of slopes and excavations.” Géotechnique, 59(10), 839–850.
Michalowski, R. L., and Nadukuru, S. S. (2013). “Three-dimensional limit analysis of slopes with pore pressure.” J. Geotech. Geoenviron. Eng., 1604–1610.
Miller, T. W., and Hamilton, J. M. (1989). “A new analysis procedure to explain a slope failure at the Martin Lake Mine.” Géotechnique, 39(1), 107–123.
Serrano, A., and Olalla, C. (1994). “Ultimate bearing capacity of rock masses.” Int. J. Rock Mech. Sci. Geomech. Abstr., 31(2), 93–106.
Serrano, A., Olalla, C., and González, J. (2000). “Ultimate bearing capacity of rock masses based on the modified Hoek-Brown criterion.” Int. J. Rock Mech. Min. Sci., 37(6), 1013–1018.
Shen, J. Y., Karakus, M., and Xu, C. S. (2012). “Direct expressions for linearization of shear strength envelopes given by the generalized Hoek-Brown criterion using genetic programming.” Comput. Geotech., 44, 139–146.
Sofianos, A. I. (2003). “Tunnelling Mohr-Coulomb strength parameters for rock masses satisfying the generalized Hoek-Brown criterion.” Int. J. Rock Mech. Min. Sci., 40(3), 435–440.
Sofianos, A. I., and Halakatevakis, N. (2002). “Equivalent tunnelling Mohr-Coulomb strength parameters for given Hoek-Brown ones.” Int. J. Rock Mech. Min. Sci., 39(1), 131–137.
Sun, Z. B., and Qin, C. B. (2014). “Stability analysis for natural slope by a kinematical approach.” J. Central South Univ., 21(4), 1546–1553.
Yang, X. L. (2002). “Limit analysis method and its application to geotechnical engineering with linear and nonlinear failure criteria.” Ph.D. thesis, Central South Univ., Changsha, China (in Chinese).
Yang, X. L., and Xu, J. S. (2017). “Three-dimensional stability of two-stage slope in inhomogeneous soils.” Int. J. Geomech., 06016045.
Zhang, L., and Zhu, H. (2007). “Three-dimensional Hoek-Brown strength criterion for rocks.” J. Geotech. Geoenviron. Eng., 1128–1135.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 9 • September 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Nov 10, 2016
Accepted: Mar 23, 2017
Published online: Jun 20, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 20, 2017
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