Advertisement

Chart-Based Slope Stability Assessment Using the Generalized Hoek–Brown Criterion

Chapter
  • 281 Downloads

Abstract

Slope stability charts are used extensively in practical application to meet the need of quick assessment of rock slope design. However, rock slope stability charts based on the Generalized Hoek–Brown (GHB) criterion, which is one of the most widely adopted failure criteria to estimate rock mass strength in rock engineering, are considerably limited. This paper presents new stability charts for the analysis of rock mass slopes satisfying with the GHB criterion. Firstly, charts for calculating the factor of safety (FOS) of a slope for a specified slope angle β = 45° are proposed. Secondly, a disturbance weighting factor fD is introduced to illustrate the effect of disturbance factor D upon the stability of rock slopes. Thirdly, a slope angle weighting factor fβ is proposed to show the influence of slope angle β on slope stability. Combined with stability charts based on β = 45°, the weighting factors fD and fβ allow the calculation of the FOS of a slope assigned various slope angle under different blasting damage and stress relief conditions. The reliability of the proposed charts is tested against numerical solutions. The results show that FOS from the proposed charts exhibits only 3.1% average discrepancy from numerical solutions using 1680 sets of data. The proposed charts are simple and straightforward to use and can be adopted as useful tools for the preliminary rock slope stability analysis.

References

  1. Baker R (2003) A second look at Taylor’s stability chart. J Geotech Geoenviron Eng 129(12):1102–1108CrossRefGoogle Scholar
  2. Baker R, Shukha R, Operstein V, Frydman S (2006) Stability charts for pseudo-static slope stability analysis. Soil Dynam Earthq Eng 26:813–823CrossRefGoogle Scholar
  3. Cai M, Kaisera PK, Uno H, Tasaka Y, Minami M (2004) Estimation of rock mass deformation modulus and strength of jointed hard rock masses using the GSI system. Int J Rock Mech Min Sci 41:3–19CrossRefGoogle Scholar
  4. Carranza-Torres C (2004) Some comments on the application of the Hoek–Brown failure criterion for intact rock and rock masses to the solution of tunnel and slope problems. In: Barla G, Barla, M (eds) MIR 2004—X conference on rock and engineering mechanics, Torino, 24–25 November 2004, pp 285–326Google Scholar
  5. Hoek E (2007) Rock mass properties. Practical Rock Engineering. http://www.rocscience.com/hoek/pdf/11_Rock_mass_properties.pdf
  6. Hoek E, Brown E (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34(8):1165–1186Google Scholar
  7. Hoek E, Brown ET (1980) Underground excavations in rock. Instn Min Metall, LondonGoogle Scholar
  8. Hoek E, Bray JW (1981) Rock slope engineering, 3rd edn. Instn Min Metall, LondonGoogle Scholar
  9. Hoek E, Carranza-Torres C, Corkum B (2002) Hoek–Brown failure criterion—2002 Edition. In: Proceedings of NARMS-TAC. Mining Innovation and Technology, TorontoGoogle Scholar
  10. Hoek E, Diederichs MS (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci 43:203–215CrossRefGoogle Scholar
  11. Jimenez R, Serrano A, Olalla C (2008) Linearization of the Hoek and Brown rock failure criterion for tunnelling in elasto-plastic rock masses. Int J Rock Mech Min Sci 45:1153–1163CrossRefGoogle Scholar
  12. Li AJ, Cassidy MJ, Wang Y, Merifield RS, Lyamin AV (2012) Parametric Monte Carlo studies of rock slopes based on the Hoek–Brown failure criterion. Comput Geotech 45:11–18CrossRefGoogle Scholar
  13. Li AJ, Lyamin AV, Merifield RS (2009) Seismic rock slope stability charts based on limit analysis methods. Comput Geotech 36:135–148CrossRefGoogle Scholar
  14. Li AJ, Merifield RS, Lyamin AV (2008) Stability charts for rock slopes based on the Hoek–Brown failure criterion. Int J Rock Mech Min Sci 45(5):689–700CrossRefGoogle Scholar
  15. Li AJ, Merifield RS, Lyamin AV (2011) Effect of rock mass disturbance on the stability of rock slopes using the Hoek–Brown failure criterion. Comput Geotech 38:546–558CrossRefGoogle Scholar
  16. Muirwood AM (1972) Tunnels for road and motorways. Q J Eng Geol 5:111–126CrossRefGoogle Scholar
  17. Michalowski RL (2010) Limit analysis and stability charts for 3D slope failures. J Geotech Geoenviron Eng 136:583–593CrossRefGoogle Scholar
  18. Naghadehi M, Jimenez R, KhaloKakaie R, Jalali S (2013) A new open-pit mine slope instability index defined using the improved rock engineering systems approach. Int J Rock Mech Min Sci 61:1–14CrossRefGoogle Scholar
  19. Priest SD (2005) Determination of shear strength and three-dimensional yield strength for the Hoek–Brown criterion. Rock Mech Rock Eng 38(4):299–327CrossRefGoogle Scholar
  20. Phase2 8.0. www.rocscience.com
  21. RocData 4.0. www.rocscience.com
  22. Shen J, Priest SD, Karakus M (2012a) Determination of Mohr-Coulomb shear strength parameters from Generalized Hoek–Brown criterion for slope stability analysis. Rock Mech Rock Eng 45:123–129CrossRefGoogle Scholar
  23. Shen J, Karakus M, Xu C (2012b) Direct expressions for linearization of shear strength envelopes given by the Generalized Hoek–Brown criterion using genetic programming. Comput Geotech 44:139–146CrossRefGoogle Scholar
  24. Sheorey PR (1997) Empirical rock failure criteria. Balkema, RotterdamGoogle Scholar
  25. Steward T, Sivakugan N, Shukla SK, Das BM (2011) Taylor’s slope stability charts revisited. Int J Geomech 11(4):348–352CrossRefGoogle Scholar
  26. Sonmez H, Gokceoglu C (2006) Discussion of the paper by E. Hoek and M.S. Diederichs “Empirical estimation of rock mass modulus”. Int J Rock Mech Min Sci 43:671–76Google Scholar
  27. Taylor DW (1937) Stability of earth slopes. J Boston Soc Civil Eng XXIV(3):337–386Google Scholar
  28. Taheri A, Tani K (2010) Assessment of the stability of rock slopes by the slope stability rating classification system. Rock Mech Rock Eng 43:321–333CrossRefGoogle Scholar
  29. Wyllie DC, Mah C (2004) Rock slope engineering: civil and mining, 4th edn. Spon Press, New YorkGoogle Scholar
  30. Zanbak C (1983) Design charts for rock slopes susceptible to toppling. J Geotech Eng Div ASCE 190(8):1039–1062CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Mechanics and Civil EngineeringChina University of Mining & Technology-BeijingBeijingChina
  2. 2.Institute of Port, Coastal and Offshore EngineeringZhejiang UniversityHangzhouChina

Personalised recommendations