Slope instability analysis in Phyllitic rock in the Lesser Himalayan using three different modeling approach

  • Tariq Anwar AnsariEmail author
  • Vinoth Srinivasan
  • T. N. Singh
  • Abhinab Das
Original Paper


The numerical methods for slope stability problems always have a serious concern related to their continuum and discontinuum nature. In continuum methods, such as the finite element method and limit equilibrium methods, rock materials are usually considered as having a continuous nature. Where commonly practiced, discontinuum methods, like the discrete fracture network method and the discrete element method, are typically controlled by their discontinuous behavior. One of the key objectives of the present article is to emphasize the stability analysis for the development of the religious road corridor, NH-7, in Uttarakhand using different numerical manifold methods (conventional method, continuous method and discontinuous method). To investigate these aspects, eight different sites have been chosen from the Lesser Himalayan region. The geotechnical data have been collected through site visits with the help of a number of rigorous field studies. The rock exposure on the sites is mostly discontinuous in nature, having Phyllitic rock mass characteristics. The safety factor resulting from numerical analysis incorporating the Mohr–Coulomb failure criteria showed that limit equilibrium analysis has a decent correlation with the discrete element method (<10%) than finite element results. The article also discusses the principal stresses, maximum and minimum displacements variation in FEM and DEM modelling. Also, the results from the present study reveal that not just a single mode of numerical analysis is appropriate to predict accurate results for initiating economic remedial measures.


FEM (finite element analysis) LEM (limit equilibrium method) DEM (discrete element method) Phyllitic rock 



The authors would like to acknowledge the anonumous reviewers for their significant input to enhance the quality of the presented work. Dr. Vinoth Srinvasan would like to acknowledge the financial assistance of Science and Engineering Research Board (SERB), Government of India under National-Postdoctoral Research Fellowship Scheme vide file No. PDF/2016/004096.


  1. Abramson LW, Lee TS, Sharma S, Boyce GM (2001) Slope stability and stabilization methods, 2nd edn. Wiley, New YorkGoogle Scholar
  2. Agarwal KK (1994) Tectonic evolution of the Almora crystalline zone, Kumaun 40 lesser Himalaya: a reinterpretation I. J Geol Soc India 43:5–14Google Scholar
  3. Ahmad M, Umrao RK, Ansari M, Singh R, Singh TN (2013) Assessment of rockfall hazard along the road cut slopes of state highway-72, Maharashtra, India. Geomaterials 3(1):15–23Google Scholar
  4. Alavi AH, Gandomi AH (2012) Energy-based numerical models for assessment of soil liquefaction. Geosci Front 3(4):541–555Google Scholar
  5. Ansari MK, Ahmad M, Singh R, Singh TN (2016) Slope stability assessment of Saptashrungi Gad Temple, Vani, Nashik, Maharashtra, India–a numerical approach. J Eng Technol 4(1):103–115Google Scholar
  6. Auden JB (1934) Geology of the Krol Belt. Records of the geological survey of India, vol 67, pp 141–256Google Scholar
  7. Barton N (1972) A model study of rock-joint deformation. Int J Rock Mech Min Sci 9:579–602Google Scholar
  8. Barton N, Lien R, Lunde J (1974) Engineering classification of masses for the design of tunnel support. Rock Mech 6(4):189–236Google Scholar
  9. Bhasin R, Kaynia AM (2004) Static and dynamic simulation of a 700-m high rock slope failure in Western Norway. Eng Geol 71(3–4):13–226Google Scholar
  10. Bieniawski ZT (1973) Engineering classification of jointed rock masses. The Civil Engineering in Sourth Africa 15:335–344Google Scholar
  11. Bieniawski ZT (1989) Engineering rock mass classifications: a complete manual for engineers and geologists in mining, civil and petroleum engineering. Wiley, New YorkGoogle Scholar
  12. Bieniawski ZT, Bernede MJ (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int. J. Rock Mech Min Sci Geomech Abstr 16(2):138–140.
  13. Bishop AW (1955) The use of the slip circle in the stability analysis of slopes. Geotechnique. 5(1):7–1Google Scholar
  14. Chang YL, Huang TK (2005) Slope stability analysis using strength reduction technique. J Chin Inst Eng 28(2):231–240Google Scholar
  15. Chen Z, Shao C (1988) Evaluation of minimum factor of safety in slope stability analysis. Can Geotech J 25:735–748Google Scholar
  16. Cundall PA (1971) A computer model for simulating progressive large scale movements in blocky rock system. International proceedings symposium. ISRM, Nancy, pp 128–132Google Scholar
  17. Cundall PA (1980) UDEC—a generalized distinct element program for modeling jointed rock. Peter Cundall Associates Report PCAR-I-80, European Research Office, U.S. ArmyGoogle Scholar
  18. Cundall PA, Hart RD (1985) Development of generalized 2-D and 3-D distinct element programs for modeling jointed rock. Itasca Consulting Group; Misc. Paper SL-85–91. U.S. Army Corps of EngineersGoogle Scholar
  19. Dawson EM, Roth WH, Drescher A (1999) Slope stability analysis by strength reduction. Geotechnique 49(6):835–840Google Scholar
  20. Dawson E, You K, Park Y (2000) Strength-reduction stability analysis of rock slopes using the Hoek-Brown failure criterion. In: Labuz J. F. et al. (eds.) Geotechnical Special Publication: Trends in Rock Mechanics. ASCE, pp 65–77Google Scholar
  21. Duncan JM, Wright SG (2005) Soil strength and slope stability. John Wiley & Sons, Hoboken, pp 297Google Scholar
  22. Fellenius, W (1936) Calculation of stability of earth dams. In: Trans. 2nd Congress on large dams, vol 4, Washington, pp 445Google Scholar
  23. Griffiths DV, Lane PA (1999) Slope stability analysis by finite elements. Geotechnique 49(3):387–403Google Scholar
  24. Gupta V, Dobhal DP, Vaideswaran SC (2013) August 2012 cloudburst and subsequent flash flood in the Asi Ganga, a tributary of the Bhagirathi river, Garhwal Himalaya, India. Curr Sci 105(2):249–253Google Scholar
  25. Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34(8):1165–1186Google Scholar
  26. Hoek E, Kaiser PK, Bawden WF (1995) Support of underground excavations in hard rock. Balkema, RotterdamGoogle Scholar
  27. Hoek E, Carranza-Torres CT, Corkum B (2002) Hoek–Brown failure criterion—2002 edition. In: Hammah R, Bawden W, Curran J, Telesnicki M (eds) Proceedings of the Fifth North American Rock Mechanics Symposium (NARMS-TAC), University of Toronto Press, Toronto, pp 267–273Google Scholar
  28. ISRM (1981) Rock characterization testing and monitoring. ISRM suggested methods. International society for rock mechanicsGoogle Scholar
  29. Itasca (2004) UDEC: universal distinct element code, version 4.0. Itasca Inc. Minneapolis, MinesotaGoogle Scholar
  30. Jing L, Hudson JA (2002) Numerical methods in rock mechanics. Int J Rock Mech Min Sci 39:409–427Google Scholar
  31. Kainthola A, Singh PK, Wasnik AB, Singh TN (2012) Finite element analysis of road cut slopes using Hoek and Brown failure criterion. Int J Earth Sci Eng 5(5):1100–1109Google Scholar
  32. Kumar M, Rana S, Pant PD, Patel RC (2017) Slope stability analysis of Balia Nala landslide, Kumaun Lesser Himalaya, Nainital, Uttarakhand, India. J Rock Mech Geotech Eng 9:150–158Google Scholar
  33. Kundu J, Sarkar K, Singh AK (2016) Integrating structural and numerical solutions for road cut slope stability analysis – A case study, India. Rock Dynamics: From Research to Engineering: Proceedings of the 2nd International Conference on Rock Dynamics and Applications, pp 457–462Google Scholar
  34. Kveldsvik V, Kaynia AM, Nadim F, Bhasin R, Nilsen B, Einstein HH (2009) Dynamic distinct element analysis of the 800 m high Aknes rock slope. Int J Rock Mech Min Sci 46(4):686–698Google Scholar
  35. Laubscher DHA (1990) Geomechanical classification system for the rating of rock mass in mine design. J South Afr Inst Min Metall 90(10):257–273Google Scholar
  36. Li X (2007) Finite element analysis of slope stability using a nonlinear failure criterion. Comput Geotech 34:127–136Google Scholar
  37. Lin Y, Zhu D, Deng Q, He Q (2012) Collapse analysis of jointed rock slope based on UDEC software and practical seismic load. International conference on advances in computational modelling and simulation, vol 31. pp 441–416Google Scholar
  38. Liu J, Feng XT, Ding XL (2003) Stability assessment of the three-gorges dam foundatio China, using physical and numerical modeling—part II: numerical modelling. Int J Rock Mech Min Sci 40:633–652Google Scholar
  39. Liu YQ, Li HB, Zhao J, Li JR, Zhou QC (2004) UDEC simulation for dynamic response of a rock slope subject to explosions. Int J Rock Mech Min Sci 41(3):599–604Google Scholar
  40. Lorig LJ, Hobbs BE (1990) Numerical modelling of slip instability using the distinct elementmethod with state variable friction laws. Int J Rock Mech Min Sci Geomech Abstr 27(6):525–534Google Scholar
  41. Mansour ZS, Kalantari B (2011) Traditional methods vs. finite difference method for computing safety factors of slope stability. Electron J Geotech Eng 16:1119–1130Google Scholar
  42. Matthews C, Farook Z, Helm P (2014) Slope stability analysis - limit equilibrium or the finite element method? Ground Engineering May 2014:22–28Google Scholar
  43. Moares R (2011) Numerical code used to model failure in large fractured scale and jointed rock slopes in hydropower projects. In: 6th international conference on dam engineering, Lisbon, pp 1–18Google Scholar
  44. Monjezi M, Nourali HR, Singh TN (2011) Study of the effect of rainfall on slope stability—a numerical approach. Indian Landslides 4(1):13–18Google Scholar
  45. Naithani A (2015) Investigation of the impact of cloudburst in Tehri district, Uttaranchal - 31 August 2001Google Scholar
  46. Pain A, Kanungo DP, Sarkar S (2014) Rock slope stability assessment using finite element based modeling – examples from the Indian Himalayas. Geomech Geoeng 9(3):215–230Google Scholar
  47. Panikkar SV, Subramanyan V (1997) Landslide hazard analysis of the area around Dehra Dun and Mussoorie, Uttar Pradesh. Curr Sci 73(12):1117–1123Google Scholar
  48. Paul SK, Mahajan AK (1999) Malpa rockfall disaster, Kali valley, Kumaun Himalaya. Curr Sci 76(4):485–487Google Scholar
  49. Phani KK, Sanyal D (2008) The relations between the shear modulus, the bulk modulus and Young's modulus for porous isotropic ceramic materials. Mater Sci Eng A 490:305–312Google Scholar
  50. Pradhan P, Saied P (2010) Comparison between prediction capabilities of neural network and fuzzy logic techniques for L and slide susceptibility mapping. Disaster Advances 3(3):26–34Google Scholar
  51. Sah N, Kumar M, Upadhyay R, Dutt S (2018) Hill slope instability of Nainital City, Kumaun Lesser Himalaya, Uttarakhand, India. J Rock Mech Geotech Eng 10:280–289Google Scholar
  52. Saha D (2013) Lesser Himalayan sequences in Eastern Himalaya and their deformation: implications for Paleoproterozoic tectonic activity along the northern margin of India. Geosci Front 4:289–304Google Scholar
  53. Sarkar K, Singh TN (2008) Slope stability study of Himalayan rock— a numerical approach. Int J Earth Sci Eng 1(1):7–16Google Scholar
  54. Sarkar K, Singh TN, Verma AK (2012) A numerical simulation of landslide-prone slope in Himalayan region—a case study. Arab J Geosci 5:73–81Google Scholar
  55. Shekhar S, Saklani PS, Bhola AM (2006) Geology and structure of Srinagar, Garhwal–Himalaya; In: Saklani PS (ed) Himalaya (Geological Aspects). Satish, New Delhi, pp 4153–4169Google Scholar
  56. Singh TN, Gulati A, Dontha L, Bhardwaj V (2008) Evaluating cut slope failure by numerical analysis—a case study. Nat Hazards 47:263–279Google Scholar
  57. Singh PK, Kainthola A, Singh TN (2013a) Rock mass assessment along the right bank of river Sutlej, Luhri, Himachal Pradesh, India. Geomat Nat Haz Risk 6(3):212–223Google Scholar
  58. Singh PK, Wasnik AB, Kainthola A, Sazid M, Singh TN (2013b) The stability of road cut cliff face along SH-121: a case study. Nat Hazards 68(2):497–507Google Scholar
  59. Singh TN, Ahmad M, Kainthola A, Rajesh S, Kumar SA (2013c) Stability assessment of a hill slope – an analytical and numerical approach. International Journal of Earth Sciences and Engineering 6(1):50–60Google Scholar
  60. Singh R, Umrao RK, Singh TN (2014) Stability evaluation of road-cut slopes in the lesser Himalaya of Uttarakhand, India: conventional and numerical approaches. Bull Eng Geol Environ 73(3):845–857Google Scholar
  61. Souley M, Homand F (1996) Stability of jointed rock masses evaluated by UDEC with an extended Saeb Amadei constitutive law. Int J Rock Mech Min Sci Geomech Abstr 33:233–244Google Scholar
  62. Stanciucu M (2005) Evaluation of waste embankment slope stability: Valea Manastirii, Gorj, Romania. Bull Eng Geol Environ 64:341–346. Google Scholar
  63. Stead D, Eberhardt E, Coggan JS (2006) Developments in the characterization of complex rock slope deformation and failure using numerical modeling techniques. Eng Geol 83:217–235Google Scholar
  64. Sun S, Li S, Li L, Shi S (2018) Slope stability analysis and protection measures in bridge and tunnel engineering : a practical case study from Southwestern China. Bull Eng Geol Environ 64:1–17Google Scholar
  65. UDEC 5.0 (2011) Universal distinct element code user’s guide. Itasca Consulting, Minneapolis, MinesotaGoogle Scholar
  66. Umrao RK, Singh R, Ahmad M, Singh TN (2012) Role of advance numerical simulation in landslide analysis: a case study. In: Proceedings of National Conference on advanced trends in applied sciences & technology (ATAST-2012), pp 590–597Google Scholar
  67. Unal E (1996) Modified rock mass classification, M-RMR system, In: Milestones in rock engineering, the Bieniawski Jubilee collection, Balkema, Rotterdam, pp 203–233Google Scholar
  68. Valdiya KS (1980) Geology of the Kumaun Lesser Himalaya. Wadia institute of Himalayan Geology, DehradunGoogle Scholar
  69. Verma D, Kainthola A, Thareja R, Singh TN (2013) Stability analysis of an open cut slope in Wardha Valley coal field. J Geol Soc India 81:804–812Google Scholar
  70. Wesley LD, Leelaratnam V (2001) Technical note: shear strength parameters from back analysis of single slips. Geotechnique 51(4):373–374Google Scholar
  71. Wickham GE, Tiedemann HR, Skinner EH (1972) Support determination based on geologic predictions. In: Lane KS, Garfield LA (eds) Proceedings of the North American rapid excavation tunneling conference(RETC), Chicago. Society for Mining, Metallurgy, and Exploration, American Institute of Mining, Metallurgical and Petroleum Engineers (AIME), New York, pp 43–64Google Scholar
  72. Wyllie DC, Mah CW (2004) Rock slope engineering: civil and mining, 4rth edn. Spon, LondonGoogle Scholar
  73. Zhang C, Pekau OK, Feng J, Guanglun W (1997) Application of distinct element method in dynamic analysis of high rock slopes and blocky structures. Soil Dyn Earthq Eng 16:385–394Google Scholar
  74. Zheng W, Zhuang X, Cai Y (2012) On the seismic stability analysis of reinforced rock slope and optimization of prestressed cables. Front Struct Civ Eng 6(2):132–146Google Scholar
  75. Zhu D, Lee C, Jiang H (2003) Generalised framework of limit equilibrium methods and numerical procedure for slope stability analysis. Geotechnique 53(4):377–395Google Scholar

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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Earth SciencesIndian Institute of Technology BombayMumbaiIndia

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