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Design of Rock Slope Reinforcement: An Himalayan Case Study

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Abstract

The stability analysis of the two abutment slopes of a railway bridge proposed at about 359 m above the ground level, crossing a river and connecting two hill faces in the Himalayas, India, is presented. The bridge is located in a zone of high seismic activity. The rock slopes are composed of a heavily jointed rock mass and the spacing, dip and dip direction of joint sets are varying at different locations. Geological mapping was carried out to characterize all discontinuities present along the slopes. Laboratory and field investigations were conducted to assess the geotechnical properties of the intact rock, rock mass and joint infill. Stability analyses of these rock slopes were carried out using numerical programmes. Loads from the foundations resting on the slopes and seismic accelerations estimated from site-specific ground response analysis were considered. The proposed slope profile with several berms between successive foundations was simulated in the numerical model. An equivalent continuum approach with Hoek and Brown failure criterion was initially used in a finite element model to assess the global stability of the slope abutments. In the second stage, finite element analysis of rock slopes with all joint sets with their orientations, spacing and properties explicitly incorporated into the numerical model was taken up using continuum with joints approach. It was observed that the continuum with joints approach was able to capture the local failures in some of the slope sections, which were verified using wedge failure analysis and stereographic projections. Based on the slope deformations and failure patterns observed from the numerical analyses, rock anchors were designed to achieve the target factors of safety against failure while keeping the deformations within the permissible limits. Detailed design of rock anchors and comparison of the stability of slopes with and without reinforcement are presented.

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References

  • Agliardi F (2012) Rock mass behavior, characterization and relationships with rock slope instability. Geological Sciences and Geotechnologies, Milano

    Google Scholar 

  • Akgun H, Serkan M, Mustafa KK (2014) Geotechnical investigations and preliminary support design for the Geçilmez tunnel: a case study along the Black Sea coastal highway, Giresun, Northern Turkey. Tunn Undergr Space Technol 40:277–299

    Article  Google Scholar 

  • Barla G, Barla M (2000) Continuum and discontinuum modeling in tunnel engineering. Rud-Geo-Naft-Zb 12:45–57

    Google Scholar 

  • Barton NR (1972) A model study of rock-joint deformation. Int J Rock Mech Min Sci 9:579–602

    Article  Google Scholar 

  • Barton N (1998) Quantitative description of rock masses for the design of NMT reinforcement (Special Lecture 1). Int. Conf. on Hydro power Development in Himalayas, Shimla

    Google Scholar 

  • Bhasin R, Kaynia AM (2004) Static and dynamic simulation of a 700 m high rock slope in western Norway. Eng Geol 71:213–226

    Article  Google Scholar 

  • Bieniawski ZT (1989) Engineering rock mass classifications: a complete manual for engineers and geologists in mining, civil, and petroleum engineering. Wiley, New York

    Google Scholar 

  • Chandra S, Nilsen B, Ming L (2010) Predicting excavation methods and rock support: a case study from Himalayan region of India. Bull Eng Geol Environ 69:257–266

    Article  Google Scholar 

  • Eberhardt E (2012) The Hoek–Brown failure criterion. Rock Mech Rock Eng 45:981–988

    Article  Google Scholar 

  • Eberhardt E, Stead D, Coggan JS (2004) Numerical analysis of initiation and progressive failure in natural rock slopes—the 1991 Randa rockslide. Int J Rock Mech Min Sci 41:69–87

    Article  Google Scholar 

  • Edelbro C (2003) Rock mass strength—a review. Technical report. Department of Civil and Mining Engineering, Division of Rock Mechanics. Luleå University of Technology 16 ISSN: 1402–1536

  • Edelbro C (2004) Evaluation of rock mass strength criteria. Technical report. Department of Civil and Mining Engineering, Division of Rock Mechanics. Luleå University of Technology, 72 ISSN: 1402–1757

  • Goodman RE, Taylor RL, Brekke TL (1968) A model for the mechanics of jointed rock. J Soil Mech Found Div ASCE 94:637–659

    Google Scholar 

  • Gurocak Z, Alemdag S, Zaman MM (2007) Empirical and numerical analyses of support requirements for a diversion tunnel at the Boztepe dam site, eastern Turkey. Eng Geol 91:94–108

    Article  Google Scholar 

  • Hatzor YH, Arzi AA, Zaslavsky Y, Shapira A (2004) Dynamic stability analysis of jointed rock slopes using the DDA method. Int J Rock Mech Min Sci 4:813–832

    Article  Google Scholar 

  • Hoek E, Carranza-Torres C, Corkum B (2002) Hoek–Brown failure criterion—2002 edition. In: Proceedings of the fifth North American rock mechanics symposium, pp 267–273

  • Idriss IM (1985) Evaluating seismic risk in engineering practice. In: Proceedings of 11th international conference on soil mechanics and foundation engineering, San Francisco, pp 265–320

  • Indraratna B, Jayanathan M (2005) Measurement of pore water pressure of clay-infilled rock joints during triaxial shearing. Geotechnique 55(10):759–764

    Article  Google Scholar 

  • Indraratna B, Premdasa W, Brwon ET, Gens A, Heitor A (2014) Shear strength of rock joints influenced by compacted fill. Int J Rock Mech Min Sci 70:296–307

    Google Scholar 

  • IS 1893 (2002) Criteria for earthquake resistant design of structures. Indian Standard Code by Bureau of Indian Standards, New Delhi

  • ISRM (1979) Suggested methods for determining in situ deformability of rock. Int J Rock Mech Min Sci Geomech Abstr 16(3):195–214

    Google Scholar 

  • ISRM (1981) Rock characterization, testing and monitoring. In: Brown ET (ed) ISRM suggested methods. Pergamon Press, New York

    Google Scholar 

  • ISRM (1987) Suggested methods for deformability determination using a flexible dilatometer. Int J Rock Mech Min Sci Geomech Abstr 24(2):123–134

    Article  Google Scholar 

  • Johansson F (2005) Stability analyses of large structures founded on rock: an introductory study. Division of Soil and Rock Mechanics Department of Civil and Architectural Engineering. Royal Institute of Technology, Stockholm

  • 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 69:1–24

    Article  Google Scholar 

  • Latha GM, Garaga A (2010a) Seismic stability analysis of a Himalayan rock slope. Rock Mech Rock Eng 43:831–843

    Article  Google Scholar 

  • Latha GM, Garaga A (2010b) b) Stability analysis of a rock slope in Himalayas. Geomech Eng 2:1–16

    Article  Google Scholar 

  • Latha GM, Garaga A (2012) Elasto-plastic analysis of jointed rocks using discrete continuum and equivalent continuum approaches. Int J Rock Mech Min Sci 53:56–63

    Article  Google Scholar 

  • Matsui T, Sam KC (1992) Finite element slope stability analysis by shear strength reduction technique. Soils Found 32:59–70

    Article  Google Scholar 

  • Merifield RS, Lyamin AV, Sloan SW (2006) Limit analysis solutions of the bearing capacity of rock masses using the generalized Hoek–Brown criterion. Int J Rock Mech Min Sci 43:920–937

    Article  Google Scholar 

  • Pain A, Kanungo DP, Sarkar S (2014) Rock slope stability assessment using finite element based modelling—examples from the Indian Himalayas. Geomech Geoeng 00:1–16

    Google Scholar 

  • Pal S, Kaynia AM, Bhasin RK, Paul DK (2012) Earthquake stability analysis of rock slopes: a case study. Rock Mech Rock Eng 45:205–215

    Article  Google Scholar 

  • Qi C, Wu J, Liu J, Kanungo DP (2015) Assessment of complex rock slope stability at Xiari, southwestern China. Bull Eng Geol Environ

  • Ramamurthy T (2013) Engineering in rocks for slopes, foundations and tunnels. Prentice Hall of India (Pubs.), New Delhi

  • Robertson AM (1988) Estimating weak rock strength. AMIE-SME annual meeting, Phoenix, pp 88–145

  • Rocscience (2014a) Dips version 6.015, graphical and statistical analysis of orientation data. Rocscience Inc., Ontario

    Google Scholar 

  • Rocscience (2014b) Phase2 version 8.020, finite element analysis for excavations and slopes. Rocscience Inc., Ontario

    Google Scholar 

  • Rocscience (2014c) Swedge version 6.003, 3D surface wedge analysis for slopes. Rocscience Inc., Ontario

    Google Scholar 

  • Romana M (1985) New adjustment ratings for application of Bieniawski classification to slopes. Int. sym on the role of rock mechanics, Zacatecas, pp 49–53

    Google Scholar 

  • Rukhaiyar S, Singh M, Pain A (2013) Study of numerical modeling of a rock slope based on modified Mohr-Coulomb criterion. J Rock Mech Tunn Tech 19:81–98

    Google Scholar 

  • Serrano A, Olalla C (1996) Allowable bearing capacity in rock foundations, using a non-linear failure criterium. Int J Rock Mech Min Sci 33(4):327–345

    Article  Google Scholar 

  • Shen J, Karakus M (2013) Three-dimensional numerical analysis for rock slope stability using shear strength reduction method. Can Geotech J 51:164–172

    Article  Google Scholar 

  • Singh TN, Gulati A, Dontha L, Bhardwaj V (2008) Evaluating cut slope failure by numerical analysis—a case study. Nat Hazards 47:263–279

    Article  Google Scholar 

  • Sitharam TG, Latha GM (2002) Simulation of excavations in jointed rock masses using a practical equivalent continuum approach. Int J Rock Mech Min Sci 39:517–525

    Article  Google Scholar 

  • Sitharam TG, Sridevi J, Shimizu N (2001) Practical equivalent continuum characterization of jointed rock masses. Int J Rock Mech Min Sci 38:437–448

    Article  Google Scholar 

  • Sonmez H, Gokceoglu C, Ulusay R (2004) Indirect determination of the modulus of deformation of rock masses based on the GSI system. Int J Rock Mech Min Sci 41:849–857

    Article  Google Scholar 

  • Stille H, Palmstrom A (2003) Rock mass classification as a tool in rock engineering. Tunn Undergr Space Technol 18:331–345

    Article  Google Scholar 

  • Wang B, Garga VK (1992) A numerical model for rock bolts. Rock support in mining and underground construction, Balkema, pp 57–66

    Google Scholar 

  • Wyllie DC, Mah WC (2004) Rock slope engineering. Spon Press, New York

    Google Scholar 

  • 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 16:385–394

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Science, Bangalore, India

    Gaurav Tiwari & Gali Madhavi Latha

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  1. Gaurav Tiwari
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  2. Gali Madhavi Latha
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Correspondence to Gaurav Tiwari.

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Tiwari, G., Latha, G.M. Design of Rock Slope Reinforcement: An Himalayan Case Study. Rock Mech Rock Eng 49, 2075–2097 (2016). https://doi.org/10.1007/s00603-016-0913-4

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  • DOI: https://doi.org/10.1007/s00603-016-0913-4

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