Geomechanics and Engineering

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Advanced discretization of rock slope using block theory within the framework of discontinuous deformation analysis

  • Wang, Shuhong (Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, School of Resources and Civil Engineering, Northeastern University) ;
  • Huang, Runqiu (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology) ;
  • Ni, Pengpeng (GeoEngineering Centre at Queen's-RMC, Department of Civil Engineering, Queen's University) ;
  • Jeon, Seokwon (Rock Mechanics and Rock Engineering Laboratory, Department of Energy Systems Engineering, Seoul National University)
  • Received : 2013.06.09
  • Accepted : 2017.01.12
  • Published : 2017.04.25
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Abstract

Rock is a heterogeneous material, which introduces complexity in the analysis of rock slopes, since both the existing discontinuities within the rock mass and the intact rock contribute to the degradation of strength. Rock failure is often catastrophic due to the brittle nature of the material, involving the sliding along structural planes and the fracturing of rock bridge. This paper proposes an advanced discretization method of rock mass based on block theory. An in-house software, GeoSMA-3D, has been developed to generate the discrete fracture network (DFN) model, considering both measured and artificial joints. Measured joints are obtained from the photogrammetry analysis on the excavation face. Statistical tools then facilitate to derive artificial joints within the rock mass. Key blocks are searched to provide guidance on potential reinforcement measures. The discretized blocky system is subsequently implemented into a discontinuous deformation analysis (DDA) code. Strength reduction technique is employed to analyze the stability of the slope, where the factor of safety can be obtained once excessive deformation of slope profile is observed. The combined analysis approach also provides the failure mode, which can be used to guide the choice of strengthening strategy if needed. Finally, an illustrated example is presented for the analysis of a rock slope of 20 m height inclined at $60^{\circ}$ using combined GeoSMA-3D and DDA calculation.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Baecher, G., Lanney, N. and Einstein, H. (1977), "Statistical description of rock properties and sampling", Proceedings of the 18th US Symposium on Rock Mechanics (USRMS), American Rock Mechanics Association.
  2. Chang, Y.L. and Huang, T.K. (2005), "Slope stability analysis using strength reduction technique", J. Chinese Inst. Eng., 28(2), 231-240. https://doi.org/10.1080/02533839.2005.9670990
  3. Chugh, A. (1986), "Variable factor of safety in slope stability analysis", Geotechnique, 36(1), 57-64. https://doi.org/10.1680/geot.1986.36.1.57
  4. Dawson, E., Roth, W. and Drescher, A. (1999), "Slope stability analysis by strength reduction", Geotechnique, 49(6), 835-840. https://doi.org/10.1680/geot.1999.49.6.835
  5. Elmouttie, M. and Poropat, G. (2012), "A method to estimate in situ block size distribution", Rock Mech. Rock Eng., 45(3), 401-407. https://doi.org/10.1007/s00603-011-0175-0
  6. Elmouttie, M., Poropat, G. and Krahenbuhl, G. (2010a), "Polyhedral modelling of rock mass structure", Int. J. Rock Mech. Min. Sci., 47(4), 544-552. https://doi.org/10.1016/j.ijrmms.2010.03.002
  7. Elmouttie, M., Poropat, G. and Krahenbuhl, G. (2010b), "Polyhedral modelling of underground excavations", Comput. Geotech., 37(4), 529-535. https://doi.org/10.1016/j.compgeo.2010.02.009
  8. Ferrero, A.M., Migliazza, M., Roncella, R. and Rabbi, E. (2011), "Rock slopes risk assessment based on advanced geostructural survey techniques", Landslides, 8(2), 221-231. https://doi.org/10.1007/s10346-010-0246-4
  9. Goodman, R.E. and Shi, G.H. (1985), Block Theory and Its Application to Rock Engineering, Prentice-Hall Englewood Cliffs, NJ.
  10. Griffiths, D.V. and Lane, P.A. (1999), "Slope stability analysis by finite elements", Geotechnique, 49(3), 387-403. https://doi.org/10.1680/geot.1999.49.3.387
  11. Hatzor, Y. and Feintuch, A. (2001), "The validity of dynamic block displacement prediction using DDA", Int. J. Rock Mech. Min. Sci., 38(4), 599-606. https://doi.org/10.1016/S1365-1609(01)00026-0
  12. Ikegawa, Y. and Hudson, J. (1992), "A novel automatic identification system for three-dimensional multiblock systems", Eng. Comput., 9(2), 169-179. https://doi.org/10.1108/eb023856
  13. Kalenchuk, K.S., Diederichs, M.S. and McKinnon, S. (2006), "Characterizing block geometry in jointed rockmasses", Int. J. Rock Mech. Min. Sci., 43(8), 1212-1225. https://doi.org/10.1016/j.ijrmms.2006.04.004
  14. Kim, Y.I., Amadei, B. and Pan, E. (1999), "Modeling the effect of water, excavation sequence and rock reinforcement with discontinuous deformation analysis", Int. J. Rock Mech. Min. Sci., 36(7), 949-970. https://doi.org/10.1016/S0148-9062(99)00046-7
  15. Lambert, C., Thoeni, K., Giacomini, A., Casagrande, D. and Sloan, S. (2012), "Rockfall hazard analysis from discrete fracture network modelling with finite persistence discontinuities", Rock Mech. Rock Eng., 45(5), 871-884. https://doi.org/10.1007/s00603-012-0250-1
  16. Laouafa, F. and Darve, F. (2002), "Modelling of slope failure by a material instability mechanism", Comput. Geotech., 29(4), 301-325. https://doi.org/10.1016/S0266-352X(01)00030-1
  17. Li, L.C., Tang, C.A., Zhu, W.C. and Liang, Z.Z. (2009), "Numerical analysis of slope stability based on the gravity increase method", Comput. Geotech., 36(7), 1246-1258. https://doi.org/10.1016/j.compgeo.2009.06.004
  18. Lin, D. and Fairhurst, C. (1988), "Static analysis of the stability of three-dimensional blocky systems around excavations in rock", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25(3), 139-147.
  19. Liu, J.L., Luan, M.T., Zhao, S.F., Yuan, F.F. and Wang, J.L. (2005), "Discussion on criteria for evaluating stability of slope in elastoplastic FEM based on shear strength reduction technique", Yantu Lixue (Rock and Soil Mechanics) -CHINESE EDITION- 26(8), 1345-1348.
  20. MacLaughlin, M., Sitar, N., Doolin, D. and Abbot, T. (2001), "Investigation of slope-stability kinematics using discontinuous deformation analysis", Int. J. Rock Mech. Min. Sci., 38(5), 753-762. https://doi.org/10.1016/S1365-1609(01)00038-7
  21. Mauldon, M. (1998), "Estimating mean fracture trace length and density from observations in convex windows", Rock Mech. Rock Eng., 31(4), 201-216. https://doi.org/10.1007/s006030050021
  22. Ni, P., Wang, S.H., Wang, C.G. and Zhang, S.M. (2016a), "Estimation of REV size for fractured rock mass based on damage coefficient", Rock Mech. Rock Eng. DOI: 10.1007/s00603-016-1122-x
  23. Ni, P., Wang, S.H., Zhang, S.M. and Mei, L. (2016b), "Response of heterogeneous slopes to increased surcharge load", Comput. Geotech., 78, 99-109. https://doi.org/10.1016/j.compgeo.2016.05.007
  24. Ning, Y., Yang, J., An, X. and Ma, G. (2011), "Modelling rock fracturing and blast-induced rock mass failure via advanced discretisation within the discontinuous deformation analysis framework", Comput. Geotech., 38(1), 40-49. https://doi.org/10.1016/j.compgeo.2010.09.003
  25. Shen, H. and Abbas, S.M. (2013), "Rock slope reliability analysis based on distinct element method and random set theory", Int. J. Rock Mech. Min. Sci., 61, 15-22.
  26. Shi, G.H. (1992), "Discontinuous deformation analysis: a new numerical model for the statics and dynamics of deformable block structures", Eng. Computation., 9(2), 157-168. https://doi.org/10.1108/eb023855
  27. Shi, G.H. (2007), Applications of Discontinuous Deformation Analysis (DDA) to Rock Engineering, Computational Mechanics, Springer, pp. 136-147.
  28. Shi, G.H. and Goodman, R.E. (1989), "The key blocks of unrolled joint traces in developed maps of tunnel walls", Int. J. Numer. Anal. Meth. Geomech., 13(2), 131-158. https://doi.org/10.1002/nag.1610130203
  29. Stead, D., Eberhardt, E. and Coggan, J. (2006), "Developments in the characterization of complex rock slope deformation and failure using numerical modelling techniques", Eng. Geol., 83(1), 217-235. https://doi.org/10.1016/j.enggeo.2005.06.033
  30. Tschuchnigg, F., Schweiger, H.F., Sloan, S., Lyamin, A.V. and Raissakis, I. (2015a), "Comparison of finiteelement limit analysis and strength reduction techniques", Geotechnique, 65(4), 249-257. https://doi.org/10.1680/geot.14.P.022
  31. Tschuchnigg, F., Schweiger, H.F. and Sloan, S. (2015b), "Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part I: Numerical studies considering nonassociated plasticity", Comput. Geotech., 70, 169-177. https://doi.org/10.1016/j.compgeo.2015.06.018
  32. Wang, S.H. and Ni, P. (2014), "Application of block theory modeling on spatial block topological identification to rock slope stability analysis", Int. J. Comp. Meth. Sing., 11(1), 1350044. DOI: 10.1142/S0219876213500448
  33. Wang, S.H., Lee, C.I., Ranjith, P.G. and Tang, C.A. (2009), "Modeling the effects of heterogeneity and anisotropy on the excavation damaged/disturbed zone (EDZ)", Rock Mech. Rock Eng., 42(2), 229-258. https://doi.org/10.1007/s00603-009-0177-3
  34. Wang, S.H, Ni, P., Yang, H. and Xu, Y. (2011), "Modeling on spatial block topological identification and their progressive failure analysis of slope and cavern rock mass", Procedia Eng., 10, 1509-1514. https://doi.org/10.1016/j.proeng.2011.04.252
  35. Wang, S.H., Huang, R.Q., Ni, P., Ranjith, P.G. and Zhang, M.S. (2013a), "Fracture behavior of intact rock using acoustic emission: experimental observation and realistic modeling", Geotech. Test. J., 36(6), 1-12. DOI: 10.1520/GTJ20120086
  36. Wang, S.H, Ni, P. and Guo, M.D. (2013b), "Spatial characterization of joint planes and stability analysis of tunnel blocks", Tunn. Undergr. Sp. Tech., 38, 357-367. https://doi.org/10.1016/j.tust.2013.07.017
  37. Yarahmadi Bafghi, A.R. and Verdel, T. (2003), "The key-group method", Int. J. Numer. Anal. Meth. Geomech., 27(6), 495-511. https://doi.org/10.1002/nag.283
  38. Yarahmadi Bafghi, A.R. and Verdel, T. (2004), "The probabilistic key-group method", Int. J. Numer. Anal. Meth. Geomech., 28(9), 899-917. https://doi.org/10.1002/nag.339
  39. Zhao, X., Zhao, J., Cai, J. and Hefny, A. (2008), "UDEC modelling on wave propagation across fractured rock masses", Comput. Geotech., 35(1), 97-104. https://doi.org/10.1016/j.compgeo.2007.01.001
  40. Zheng, H., Sun, G. and Liu, D. (2009), "A practical procedure for searching critical slip surfaces of slopes based on the strength reduction technique", Comput. Geotech., 36(1-2), 1-5. https://doi.org/10.1016/j.compgeo.2008.06.002
  41. Zienkiewicz, O.C., Humpheson, C. and Lewis, R.W. (1975), "Associated and non-associated visco-plasticity and plasticity in soil mechanics", Geotechnique, 25(4),671-689. https://doi.org/10.1680/geot.1975.25.4.671

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