Stability and sensitivity analysis of Himalayan road cut debris slopes: an investigation along NH-58, India

Original Paper

Abstract

The complex geological environment due to active tectonics and varied lithology with multiple phases of deformation and metamorphism led to a rugged topography and large destabilization of slopes in the Himalayan region. However, the ever-rising activities due to various ongoing developmental and urbanization processes in the region are contributing to instability of slopes. The significant number of causalities and massive economic loss is deliberately endangering Himalayan ecosystem due to landslide-related phenomena. Transportation corridors within Himalayan terrain experience frequent landslides, particularly the sections manifested by debris slopes. From several decades, the national highway-58, in Uttarakhand, Himalayas, has been endangered due to diverse and incessant slope failures. The present investigation demonstrates the stability appraisal along the strategic transportation corridor. These studies incorporate the various issues and causes pertaining to debris slides from Rishikesh to Devprayag, Uttarakhand. The numerical simulation assessment was undertaken by deterministic and sensitivity analyses by conventional limit equilibrium methods which is being augmented by much advanced and robust finite element tool. Factor of safety for each slope was determined, and correspondingly, best efficient slope stabilization remedies were proposed to enhance the stability of slopes. It is recommended that such strategic slope stability assessment should be performed within different vulnerable sections of the Himalayas and likewise regions for fruitful and sustainable step toward disaster mitigation.

Keywords

Slope stability Numerical simulation Limit equilibrium method (LEM) Finite element method (FEM) Landslides 

Notes

Acknowledgements

Authors are thankful to NRDMS Division, Department of Science and Technology, Government of India, for financial support during field work. The authors are also thankful to Rock Sciences and Engineering Laboratory, IIT Bombay, for simulation work.

References

  1. Acharya B, Kundu J, Sarkar K (2017) Stability assessment of a critical slope near Nathpa Region, Himachal Pradesh, India. In Indian geotechnical conference GeoNEst, IIT Guwahati, IndiaGoogle Scholar
  2. Ahmad M, Umrao RK, Ansari MK, Singh R, Singh TN (2013) Assessment of rockfall hazard along the road cut slopes of state highway-72, Maharashtra, India. Geomaterials 3(1):15–23CrossRefGoogle Scholar
  3. Alemdag S, Kaya A, Karadag M, Gurocak Z, Bulut F (2015) Utilization of the limit equilibrium and finite element methods for the stability analysis of the slope debris: an example of the Kalebasi District (NE Turkey). J Afr Earth Sci 106:134–146CrossRefGoogle Scholar
  4. Anbalagan R, Singh B, Chakraborty D, Kohli A (2007) A field manual for landslide investigations. Department of Science and Technology, Government of India, New DelhiGoogle Scholar
  5. Anbazhagan S, Ramesh V, Saranaathan SE (2017) Cut slope stability assessment along ghat road section of Kolli hills, India. Nat Hazards 86(3):1081–1104CrossRefGoogle Scholar
  6. Baba K, Bahi Ouadif L, Akhssas A (2012) Slope stability evaluations by limit equilibrium and finite element methods applied to a railway in the Moroccan Rif. Open J Civ Eng 2(1):27–32CrossRefGoogle Scholar
  7. Basu SR, De SK (2003) Causes and consequences of landslides in the Darjiling and Sikkim Himalayas. Geogr Pol 76(2):37–57Google Scholar
  8. Behera PK, Sarkar K, Singh AK, Verma AK, Singh TN (2016) Dump slope stability analysis—a case study. J Geol Soc India 88(6):725–735CrossRefGoogle Scholar
  9. Buragohain B, Kundu J, Sarkar K, Singh TN (2016) Stability assessment of a hill slope—an analytical and numerical approach. Int J Earth Sci Eng 9(3):269–273Google Scholar
  10. Chakraborty I, Ghosh S, Bhattacharya D, Bora A (2011) Earthquake induced landslides in the Sikkim-Darjeeling Himalayas—an aftermath of the 18th September 2011 Sikkim earthquake. Geological Survey of India, KolkataGoogle Scholar
  11. Cruden D (1991) A simple definition of a landslide. Bull Int As Eng Geol 43(1):27–29CrossRefGoogle Scholar
  12. Cruden DM, Varnes DJ (1996) Landslide types and processes. Special Report, Transportation Research Board. National Academy of Science, vol 247, pp 36–75Google Scholar
  13. Dahal RK, Hasegawa S, Yamanaka M, Dhakal S, Bhandary NP, Yatabe R (2009) Comparative analysis of contributing parameters for rainfall-triggered landslides in the Lesser Himalaya of Nepal. Environ Geol 58(3):567–586CrossRefGoogle Scholar
  14. Dawson EM, Roth WH, Drescher A (1999) Slope stability analysis by strength reduction. Géotechnique 49(6):835–840CrossRefGoogle Scholar
  15. Dewey JF, Bird JM (1970) Mountain belts and new global tectonics. J Geophys Res 75:2625–2685CrossRefGoogle Scholar
  16. Dewey JF, Burke K (1973) Tibetan, Variscan and Precambrian basement reactivation: products of continental collision. J Geol 81:683–692CrossRefGoogle Scholar
  17. Dudeja D, Bhatt SP, Biyani AK (2017) Stability assessment of slide zones in Lesser Himalayan part of Yamunotri pilgrimage route, Uttarakhand, India. Environ Earth Sci 76(1):2–18CrossRefGoogle Scholar
  18. Duncan JM (1996) State of the art: limit equilibrium and finite-element analysis of slopes. J Geotech Eng 122(7):557–596CrossRefGoogle Scholar
  19. Duncan JM, Wright SG (1980) The accuracy of equilibrium methods of slope stability analysis. Eng Geol 16(1):5–17CrossRefGoogle Scholar
  20. Eberhardt E (2003) Rock slope stability analysis—utilization of advanced numerical techniques. Earth and Ocean Sciences at UBC Report, University of British Columbia (UBC), Vancouver, CanadaGoogle Scholar
  21. Espinoza RD, Repetto PC, Muhunthan B (1992) General framework for stability analysis of slopes. Géotechnique 42(4):603–615CrossRefGoogle Scholar
  22. Fredlund DG (1984) Analytical methods for slope stability analysis. In: Proceeding of the 4th international symposium on landslides, state-of-the-art, Toronto, Canada, pp 229–250Google Scholar
  23. Gabet EJ, Burbank DW, Putkonen JK, Pratt-Sitaula BA, Ojha T (2004) Rainfall thresholds for landsliding in the Himalayas of Nepal. Geomorphology 63(3–4):131–143CrossRefGoogle Scholar
  24. Gansser A (1964) The geology of the Himalayas. Wiley Interscience, New YorkGoogle Scholar
  25. Gerrard J (1994) The landslide hazard in the Himalayas: geological control and human action. Geomorphology 10(1–4):221–230CrossRefGoogle Scholar
  26. Ghosh S, Bora A, Nath S, Kumar A (2014) Analysing the spatio-temporal evolution of an active debris slide in Eastern Himalaya, India. J Geol Soc India 84(3):292–302CrossRefGoogle Scholar
  27. Gover S, Hammah R (2013) A comparison of finite elements (SSR) & limit-equilibrium slope stability analysis by case study. Civ Eng 21(3):31–34Google Scholar
  28. Griffiths DV, Lane PA (1999) Slope stability analysis by finite element. Géotechnique 49(3):387–403CrossRefGoogle Scholar
  29. Gupta V, Bhasin RK, Kaynia AM, Kumar V, Saini AS, Tandon RS, Pabst T (2016) Finite element analysis of failed slope by shear strength reduction technique: a case study for Surabhi Resort Landslide, Mussoorie township, Garhwal Himalaya. Geomat Nat Hazards Risk 7(5):1677–1690CrossRefGoogle Scholar
  30. Haigh M, Rawat JS (2011) Landslide causes: human impacts on a Himalayan landslide swarm. Belgeo. 3–4:201–220CrossRefGoogle Scholar
  31. Hammah RE, Yacoub TE, Corkum B, Curran JH (2005) The shear strength reduction method for the generalized Hoek–Brown criterion. In: Proceedings of the 40th US symposium on rock mechanics, AlaskaGoogle Scholar
  32. Hammouri NA, Malkawi AIH, Yamin MMA (2008) Stability analysis of slopes using the finite element method and limiting equilibrium approach. Bull Eng Geol Environ 67(4):471–478CrossRefGoogle Scholar
  33. Highland LM, Bobrowsky P (2008) The landslide handbook—a guide to understanding landslides: Reston, Virginia. US Geol Surv Circul 1325:129Google Scholar
  34. Hungr O, Leroueil S, Picarelli L (2014) The Varnes classification of landslide types, an update. Landslides 11(2):167–194CrossRefGoogle Scholar
  35. Hutchinson JN (1968) Mass movement. In: Fairbridge R (ed) Geomorphology. Encyclopedia of Earth Science. Springer, Berlin, Heidelberg, pp 688–695Google Scholar
  36. ISRM (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. In: Ulusay R, Hudson JA (eds) Kozan Ofset Matbaacılık, AnkaraGoogle Scholar
  37. Jain AK, Ahmad T, Singh S, Ghosh SK, Patel RC, Kumar R, Agarwal KK, Perumal J, Islam R, Bhargava ON (2012) Evolution of the Himalaya. Proc Indian Natl Sci Acad 78(3):259–275Google Scholar
  38. Jain AK, Dasgupta BON, Israil M, Perumal RJ, Patel RC, Mukul M, Parcha SK, Adlakha V, Agarwal KK, Singh P, Bhattacharyya K, Pant NC, Banerjee DM (2016) Tectonics and evolution of the Himalaya. Proc Indian Natl Sci Acad 82(3):581–604Google Scholar
  39. Jamir I, Gupta V, Kumar V, Thong GT (2017) Evaluation of potential surface instability using finite element method in Kharsali Village, Yamuna Valley, Northwest Himalaya. J Mt Sci 14(8):1666–1976CrossRefGoogle Scholar
  40. Jing L (2003) A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering. Int J Rock Mech Min Sci 40(3):283–353CrossRefGoogle Scholar
  41. Jing L, Hudson JA (2002) Numerical methods in rock mechanics. Int J Rock Mech Min Sci 39(4):409–427CrossRefGoogle Scholar
  42. Kanungo DP, Sharma S (2014) Rainfall thresholds for prediction of shallow landslides around Chamoli-Joshimath region, Garhwal Himalayas, India. Landslides 11(4):629–638CrossRefGoogle Scholar
  43. Kanungo DP, Pain A, Sharma S (2013) Finite element modeling approach to assess the stability of debris and rock slopes: a case study from the Indian Himalayas. Nat Hazards 69(1):1–24CrossRefGoogle Scholar
  44. Krabbenhoft K, Lyamin AV (2015) Strength reduction finite-element limit analysis. Géotechnique 5(4):250–253CrossRefGoogle Scholar
  45. Kumar G, Dhaundiyal JN (1979) Stratigraphy and structure of “Garhwal Synform” Garhwal and Tehri Garhwal Districts, Uttar Pradesh. A reappraisal. Himal Geol 9(1):18–41Google Scholar
  46. Kumar G, Dhaundiyal JN (1980) On the stratigraphic position of the Tal formation, Garhwal Synform, Garhwal and Tehri Garhwal Districts, Uttar Pradesh. J Paleontol Soc India 23–24:58–66Google Scholar
  47. Kumar K, Prasad PS, Kathait A, Singh I (2013) Over eight decades old “young” landslide—a case study. In 7th International conference on case histories in geotechnical engineering, ChicagoGoogle Scholar
  48. Kumar N, Verma AK, Sardana S, Sarkar K, Singh TN (2017) Comparative analysis of limit equilibrium and numerical methods for prediction of a landslide. Bull Eng Geol Environ.  https://doi.org/10.1007/s10064-017-1183-4 Google Scholar
  49. Kundu J, Sarkar K, Singh AK (2016) Integrating structural and numerical solutions for road cut slope stability analysis—a case study, India. In: Li H et al (eds) Rock dynamics: from research to engineering. Taylor & Francis Group, London. ISBN: 978-1-138-02953-8Google Scholar
  50. Kundu J, Sarkar K, Tripathy A, Singh TN (2017) Qualitative stability assessment of cut slopes along the National Highway-05 around Jhakri area, Himachal Pradesh, India. J Earth Syst Sci 126:112CrossRefGoogle Scholar
  51. LeFort P (1975) Himalayas: the collided range, present knowledge of continental arc. Am J Sci A275:1–44Google Scholar
  52. Leroueil S (2001) Natural slopes and cuts: movement and failure mechanisms. Géotechnique 51(3):197–243CrossRefGoogle Scholar
  53. Liu SY, Shao LT, Li HJ (2015) Slope stability analysis using the limit equilibrium method and two finite element methods. Comput Geotech 63:291–298CrossRefGoogle Scholar
  54. Loukidis D, Bandini P, Salgado R (2003) Stability of seismically loaded slopes using limit analysis. Géotechnique 53(5):463–479CrossRefGoogle Scholar
  55. Mahanta B, Singh HO, Singh PK, Kainthola A, Singh TN (2016) Stability analysis of potential zones along NH-305, India. Nat Hazards 83(3):1341–1357Google Scholar
  56. Mahmood I, Qureshi SN, Tariq S, Atique L, Iqbal MF (2015) Analysis of landslides triggered by October 2005, Kashmir earthquake. PLoS Curr.  https://doi.org/10.1371/currents.dis.0bc3ebc5b8adf5c7fe9fd3d702d44a99 Google Scholar
  57. Maji VB (2017) An insight into slope stability using strength reduction technique. J Geol Soc India 89(1):77–81CrossRefGoogle Scholar
  58. Malik JN, Mohanty C (2007) Active tectonic influence on the evolution of drainage and landscape: geomorphic signatures from frontal and hinterland areas along Northwestern Himalaya, India. J Asian Earth Sci 29(5–6):604–618CrossRefGoogle Scholar
  59. Marinos V, Marinos P, Hoek E (2005) The geological strength index: applications and limitations. Bull Eng Geol Environ 64:55–65CrossRefGoogle Scholar
  60. Matsui T, San KC (1992) Finite element slope stability analysis by shear strength reduction technique. Soils Found 32(1):59–70CrossRefGoogle Scholar
  61. Matthews C, Farook Z, Arup HP (2014) Slope stability analysis–limit equilibrium or the finite element method? Ground Eng 48:22–28Google Scholar
  62. Mondal MEA, Siddique T, Mondal B, Alam MM (2016) SMR geomechanics and kinematic analysis near Rasulpur, Fatehpur Sikri, Uttar Pradesh. J Geol Soc India 87(5):623–627CrossRefGoogle Scholar
  63. Morrison IM, Greenwood JR (1989) Assumptions in simplified slope stability analysis by the method of slices. Géotechnique 39(3):503–509CrossRefGoogle Scholar
  64. Nikolić M, Bonacci TR, Ibrahimbegović A (2016) Overview of the numerical methods for the modelling of rock mechanics problems. Tehnički vjesnik 23(2):627–637Google Scholar
  65. Nirupama N (2015) A understanding risk from floods and landslides in the Himalayan Region: a discussion to enhance resilience. Planet@Risk 3(2):231–235Google Scholar
  66. Pain A, Kanungo DP, Sarkar S (2014) Rock slope stability assessment using finite element based modelling—examples from the Indian Himalayas. Geomech Geoeng Int J 9(3):2015–2230CrossRefGoogle Scholar
  67. Pal R, Biswas SS, Mondal B, Pramanik MK (2016) Landslides and floods in the Tista Basin (Darjeeling and Jalpaiguri Districts): historical evidence, causes and consequences. J Indian Geophys Union 20(2):209–215Google Scholar
  68. Pandit K, Sarkar K, Samanta M, Sharma M (2016) Stability analysis and design of slope reinforcement techniques for a Himalayan landslide. In: Recent advances in rock engineering. Atlantis Press, pp 97–104.  https://doi.org/10.2991/rare-16.2016.16
  69. Parkash S (2015) A study on flash floods and landslides disaster on 3rd August 2012 along Bhagirathi Valley in Uttarkashi District, Uttarakhand. A report: National Institute of Disaster Management, Ministry of Home Affairs, Government of India, New DelhiGoogle Scholar
  70. Pouya A, Ghoreychi M (2001) Determination of rock mass strength properties by homogenization. Int J Numer Anal Methods Geomech 25:1285–1303CrossRefGoogle Scholar
  71. Pradhan SP, Vishal V, Singh TN, Singh VK (2014) Optimisation of dump slope geometry vis-à-vis flyash utilisation using numerical simulation. Am J Min Metall 2(1):1–7Google Scholar
  72. Pradhan SP, Vishal V, Singh TN (2015) Study of slopes along river Teesta in Darjeeling Himalayan region. Eng Geol Soc Territ 1:517–520Google Scholar
  73. Pradhan SP, Vishal V, Siddique T (2018) Analysis of rockfall hazard along Himalayan road cut slopes. In: ICGGRM 2018: 20th international conference on geosciences, geology and rock mechanics, Prague, CzechiaGoogle Scholar
  74. Prakash S (2011) Historical records of socio-economically significant landslides in India. J South Asia Disas Stud 4(2):177–204Google Scholar
  75. Prakash S (2013) Brief report on visit to Alaknanda Valley, Uttarakhand Himalaya during 22–24 June 2013. Brief Report on Uttarakhand Disaster (16/17 June 2013) by NIDM, DelhiGoogle Scholar
  76. Ramesh V, Mani S, Bhaskar M, Kavitha G, Anbazhagan S (2017) Landslide Hazard Zonation mapping and cut slope stability analyses along Yercaudghat road (Kuppanur-Yercaud) section, Tamil Nadu, India. Int J Geoeng 8(2):1–22Google Scholar
  77. Rocscience (2001) Phase2 2D finite element program for calculating stresses and estimating support around underground excavations. TorontoGoogle Scholar
  78. Sajwan KS, Sushil K (2016) A geological appraisal of slope instability in Upper Alaknanda Valley, Uttarakhand Himalaya, India. J Geol Geophys.  https://doi.org/10.4172/2381-8719.1000258 Google Scholar
  79. Sangra R, Singh Y, Bhat GM, Pandita SK, Hussain G (2017) Geotechnical investigation on slopes failures along the Mughal Road from Bafliaz to Shopian, Jammu and Kashmir, India. J Geol Soc India 90(5):616–622CrossRefGoogle Scholar
  80. Sarkar S, Samanta M (2017) Stability analysis and remedial measures of a landslip at Keifang, Mizoram—a case study. J Geol Soc India 89(6):697–704CrossRefGoogle Scholar
  81. Sarkar K, Singh TN, Verma AK (2012) A numerical simulation of landslide-prone slope in Himalayan region—a case study. Int J Arab Geosci 5(1):73–81CrossRefGoogle Scholar
  82. Sarkar S, Kanungo DP, Sharma S (2015) Landslide hazard assessment in the upper Alaknanda valley of Indian Himalayas. Geomat Nat Hazards Risk 6(4):308–325CrossRefGoogle Scholar
  83. Sarkar K, Singh AK, Niyogi A, Behera K, Verma AK, Singh TN (2016) The assessment of slope stability along NH-22 in Rampur-Jhakri area, Himachal Pradesh. J Geol Soc India 88(3):387–393CrossRefGoogle Scholar
  84. Sarma SK (1973) Stability analyses of embankments and slopes. Géotechnique 23(3):423–433CrossRefGoogle Scholar
  85. Satendra GAK, Naik VK, Roy TKS, Sharma AK, Dwivedi M (2015) Uttarakhand disaster 2013. National Institute of Disaster Management, Ministry of Home Affairs, Government of India, New Delhi. ISBN 978-93-82571-14-8Google Scholar
  86. Sati SP, Naithani A, Rawat GS (1998) Landslides in the Garhwal Lesser Himalaya, UP, India. Environ 18(3):149–155Google Scholar
  87. Sati SP, Sunderiyal YP, Rana N, Dangwal S (2011) Recent landslides in Uttarakhand: nature’s furry or human folly. Curr Sci 100(11):1617–1620Google Scholar
  88. Sharma LK, Umrao RK, Singh R, Ahmad M, Singh TN (2016) Geotechnical characterization of road cut hill slope forming unconsolidated geo-materials: a case study. Geotech Geol Eng 35(1):503–515CrossRefGoogle Scholar
  89. Sharma LK, Umrao RK, Singh R, Ahmad M, Singh TN (2017) Stability investigation of hill cut soil slopes along national highway 222 at Malshej Ghat, Maharashtra. J Geol Soc India 89(2):165–174CrossRefGoogle Scholar
  90. Shroder JF, Bishop MP (1998) Mass movement in the Himalaya: new insights and research directions. Geomorphology 26(1–3):13–35CrossRefGoogle Scholar
  91. Siddique T, Alam MM, Mondal MEA, Vishal V (2015) Slope mass rating and kinematic analysis of slopes along national highway-58, near Jonk, Rishikesh, India. J Rock Mech Geotech Eng 7(5):600–606CrossRefGoogle Scholar
  92. Siddique T, Pradhan SP, Vishal V (2016) Road cut slope stability investigation along NH-58, near Shivpuri, Uttarakhand. In: National conference on advances in geotechnical engineering, Aligarh, pp 66–70Google Scholar
  93. Siddique T, Pradhan SP, Vishal V, Mondal MEA, Singh TN (2017) Stability assessment of Himalayan road cut slopes along National Highway 58, India. Environ Earth Sci 76:759CrossRefGoogle Scholar
  94. Singh TN, Gulati A, Dontha L, Bhardwaj V (2008) Evaluating cut slope failure by numerical analysis—a case study. Nat Hazards 47:263–279CrossRefGoogle Scholar
  95. Singh TN, Verma AK, Sarkar AK (2010) Static and dynamic analysis of landslide. Geomat Nat Hazards Risk 1(4):323–338CrossRefGoogle Scholar
  96. 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 Env 73(3):845–857CrossRefGoogle Scholar
  97. Singh AK, Kundu J, Sarkar K (2017) Stability analysis of a recurring soil slope failure along NH-5, Himachal Himalaya, India. Nat Hazards.  https://doi.org/10.1007/s11069-017-3076-z Google Scholar
  98. Sitharam TG (2009) Equivalent continuum analyses of jointed rock mass: some case studies. Int J Jpn Comm Rock Mech 5(1):39–51Google Scholar
  99. Sumantra SB, Raghunath P (2016) Causes of landslides in Darjeeling Himalayas during June–July, 2015. J Geogr Nat Disas 6(2):1–5Google Scholar
  100. Tang SB, Huang RQ, Tang CA, Liang ZZ, Heap MJ (2017) The failure processes analysis of rock slope using numerical modelling techniques. Eng Fail Anal 79:999–1016CrossRefGoogle Scholar
  101. Tschuchnigg F, Schweiger HF, Sloan SW, Lyamin AV (2015) Comparison of finite-element limit analysis and strength reduction techniques. Géotechnique 65(4):249–257CrossRefGoogle Scholar
  102. Umrao RK, Singh R, Sharma LK, Singh TN (2017) Soil slope instability along a strategic road corridor in Meghalaya, North-Eastern India. Arab J Geosci 10:260CrossRefGoogle Scholar
  103. Uniyal A (2004) Landslides at Karnaprayag: another Uttarkashi in making? Curr Sci 87(8):1031–1033Google Scholar
  104. Valdiya KS (1980) Geology of Kumaun Lesser Himalaya. Wadia Institute of Himalayan Geology, DehradunGoogle Scholar
  105. Varnes DJ (1954) Landslide types and processes. In: Eckel EB (ed) Landslides and engineering practice, special report 28. Highway research board. National Academy of Science, Washington, DC, pp 20–47Google Scholar
  106. Varnes DJ (1978) Slope movement types and processes. In: Schuster RL, Krizek RJ (eds) Landslides, analysis and control, special report 176: Transportation research board. National Academy of Science, Washington, DC, pp 11–33Google Scholar
  107. Varnes DJ (1984) Landslide hazard zonation: a review of principles and practice. UNESCO, ParisGoogle Scholar
  108. Vishal V, Pradhan SP, Singh TN (2015) Analysis of slopes in Himalayan terrane along national highway: 109, India. Eng Geol Soc Territ 1:511–515Google Scholar
  109. Vishal V, Siddique T, Purohit R, Phophliya MK, Pradhan SP (2017) Hazard assessment in rockfall-prone Himalayan slopes National Highway-58, India: rating and simulation. Nat Hazards 85(1):487–503CrossRefGoogle Scholar
  110. Wadia DN (1953) Geology of India, 3rd edn. MacMillan and Co. Limited, LondonGoogle Scholar
  111. Wyllie DC, Mah CW (2004) Rock slope engineering. In: Hoek E, Bray JW (eds) Rock slope engineering, 4th edn. Taylor and Francis Group, LondonGoogle Scholar
  112. Yin A (2006) Cenozoic tectonic evolution of the Himalayan orogen as constrained by along-strike variation of structural geometry, exhumation history, and foreland sedimentation. Earth Sci Rev 76(1–2):1–131CrossRefGoogle Scholar
  113. Zheng H (2012) A three-dimensional rigorous method for stability analysis of landslides. Eng Geol 145–146:30–40CrossRefGoogle Scholar
  114. Zheng H, Sun G, Liu D (2009) A practical procedure for searching critical slip surfaces of slopes based on the strength reduction technique. Comput Geotech 36(1–2):1–5CrossRefGoogle Scholar
  115. Zhu DY, Lee CF, Jiang HD (2003) Generalised framework of limit equilibrium methods for slope stability analysis. Géotechnique 53(4):377–395CrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.Department of Earth SciencesIndian Institute of Technology RoorkeeRoorkeeIndia
  2. 2.Department of GeologyAligarh Muslim UniversityAligarhIndia

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