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Analysis of a Rock Slope with an Infilled Planar Joint Using Deterministic and Probabilistic Approaches

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Abstract

The shear stress response and rock mass deformation are significantly influenced by rock discontinuities. The rock mass becomes more distorted and loses strength as a result of these discontinuities. The orientations of these discontinuities determine the failure pattern of rock mass. These discontinuities can be unfilled or infilled. The shear behaviour of rock mass is largely affected if infill material is present there. The presence of infill material affects the shear behaviour of rock mass. In this paper, a rock slope inclined at an angle of 60°, with a single discontinuity of thickness 1.0 m inclined at an angle varying between 35° and 52° containing a weak soil as infill material is subjected to pseudo-static earthquake load. The horizontal coefficient of the earthquake is taken as 0.1 g. The factor of safety is obtained for each joint inclination. Numerical simulation is performed using FLAC2D and an analytical run is also performed using MATLAB, where reliability analysis using Monte Carlo simulation is carried out by considering uncertainties in rock properties.

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The datasets generated during and/or analysed during the current study are available with the authors.

References

  1. Ausilio E, Conte E, Dente G (2000) Seismic stability analysis of reinforced slopes. Soil Dyn Earthq Eng 19(3):159–172

    Article  Google Scholar 

  2. Bar N, Barton NR (2016) Empirical slope design for hard and soft rocks using Q-slope. In: ARMA US Rock Mechanics/Geomechanics Symposium (pp ARMA-2016). ARMA

  3. Beyabanaki SAR (2020) A comparison between using finite difference and limit equilibrium methods for landslide analysis of slopes containing a weak layer. Am J Eng Res 9(12):68–79

    Google Scholar 

  4. Chen Z, Du J, Yan J, Sun P, Li K, Li Y (2019) Point estimation method: Validation, efficiency improvement, and application to embankment slope stability reliability analysis. Eng Geol 263:105232

    Article  Google Scholar 

  5. Düzgün HŞB, Paşamehmetoğlu AG, Yücemen MS (1995) Plane failure analysis of rock slopes: a reliability approach. Int J Surface Min Reclam 9(1):1–6

    Article  Google Scholar 

  6. Duzgun HSB, Yucemen MS, Karpuz CELAL (2002) A probabilistic model for the assessment of uncertainties in the shear strength of rock discontinuities. Int J Rock Mech Min Sci 39(6):743–754

    Article  Google Scholar 

  7. Einstein HH, Veneziano D, Baecher GB, O’reilly KJ (1983) The effect of discontinuity persistence on rock slope stability. Int J Rock Mechan Min Sci Geomechan Abstr 20(5):227–236

    Article  Google Scholar 

  8. El-Ramly H, Morgenstern NR, Cruden DM (2002) Probabilistic slope stability analysis for practice. Can Geotech J 39(3):665–683

    Article  Google Scholar 

  9. Hoek E (1998) Factor of safety and probability of failure(Chapter 8). Course notes, Internet edition, http://www.rockeng.utoronto.ca/hoekcorner.htm

  10. Hoek E, Bray JW (1981) Rock slope engineering. Institute of Mining and Metallurgy, London

    Book  Google Scholar 

  11. Jimenez-Rodriguez R, Sitar N, Chacón J (2006) System reliability approach to rock slope stability. Int J Rock Mech Min Sci 43(6):847–859

    Article  Google Scholar 

  12. 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 

  13. Kliche CA (1999) Rock slope stability. Society for Mining, Metallurgy, and Exploration, Inc

  14. Kumar S, Tiwari G, Parameswaran V, Das A (2022) Rate-dependent mechanical behavior of jointed rock with an impersistent joint under different infill conditions. J Rock Mechan Geotechn Eng 14(5):1380–1393

    Article  Google Scholar 

  15. Kumsar H, Aydan Ö, Ulusay R (2000) Dynamic and static stability assessment of rock slopes against wedge failures. Rock Mech Rock Eng 33:31–51

    Article  Google Scholar 

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

    Article  Google Scholar 

  17. Leshchinsky D, San KC (1994) Pseudostatic seismic stability of slopes: design charts. J Geotechn Eng 120(9):1514–1532

    Article  Google Scholar 

  18. 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 45:11–18

    Article  Google Scholar 

  19. 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):689–700

    Article  Google Scholar 

  20. Ling HI, Cheng AHD (1997) Rock sliding induced by seismic force. Int J Rock Mech Min Sci 34(6):1021–1029

    Article  Google Scholar 

  21. Liu X, Li DQ, Cao ZJ, Wang Y (2020) Adaptive Monte Carlo simulation method for system reliability analysis of slope stability based on limit equilibrium methods. Eng Geol 264:105384

    Article  Google Scholar 

  22. Liu Y, Li H, Xiao K, Li J, Xia X, Liu B (2014) Seismic stability analysis of a layered rock slope. Comput Geotech 55:474–481

    Article  Google Scholar 

  23. Macedo J, Candia G (2020) Performance-based assessment of the seismic pseudo-static coefficient used in slope stability analysis. Soil Dyn Earthq Eng 133:106109

    Article  Google Scholar 

  24. Michalowski RL, Park D (2020) Stability assessment of slopes in rock governed by the Hoek-Brown strength criterion. Int J Rock Mech Min Sci 127:104217

    Article  Google Scholar 

  25. Nawari O, Hartmann R, Lackner R (1997) Stability analysis of rock slopes with the direct sliding blocks method. Int J Rock Mech Min Sci 34(3–4):220-e1

    Google Scholar 

  26. Obregon C, Mitri H (2019) Probabilistic approach for open pit bench slope stability analysis–a mine case study. Int J Min Sci Technol 29(4):629–640

    Article  Google Scholar 

  27. Park HJ, West TR, Woo I (2005) Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA. Eng Geol 79(3–4):230–250

    Article  Google Scholar 

  28. Ray A, Rai R, Singh TN (2022) The effect of discontinuity orientation and thickness of the weathered layer on the stability of lesser himalayan rock slope. J Geol Soc India 98(2):260–270

    Article  Google Scholar 

  29. Richards R Jr, Elms DG, Budhu M (1993) Seismic bearing capacity and settlements of foundations. J Geotechn Eng 119(4):662–674

    Article  Google Scholar 

  30. Saada Z, Maghous S, Garnier D (2012) Stability analysis of rock slopes subjected to seepage forces using the modified Hoek-Brown criterion. Int J Rock Mech Min Sci 55:45–54

    Article  Google Scholar 

  31. Shukla SK, Khandelwal S, Verma VN, Sivakugan N (2009) Effect of surcharge on the stability of anchored rock slope with water filled tension crack under seismic loading condition. Geotech Geol Eng 27:529–538

    Article  Google Scholar 

  32. Shukla S, Hossain M (2011) Analytical expression for factor of safety of an anchored rock slope against plane failure. Int J Geotech Eng 5(2):181–187

    Article  Google Scholar 

  33. Stead D, Eberhardt E, Coggan JS (2006) Developments in the characterization of complex rock slope deformation and failure using numerical modelling techniques. Eng Geol 83(1–3):217–235

    Article  Google Scholar 

  34. Sun L, Grasselli G, Liu Q, Tang X, Abdelaziz A (2022) The role of discontinuities in rock slope stability: insights from a combined finite-discrete element simulation. Comput Geotech 147:104788

    Article  Google Scholar 

  35. 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 79:999–1016

    Article  Google Scholar 

  36. Whitman RV (1984) Evaluating calculated risk in geotechnical engineering. J Geotechn Eng 110(2):143–188

    Article  Google Scholar 

  37. Xu J, Pan Q, Yang XL, Li W (2018) Stability charts for rock slopes subjected to water drawdown based on the modified nonlinear Hoek-Brown failure criterion. Int J Geomech 18(1):04017133

    Article  Google Scholar 

  38. Yang XL (2007) Seismic displacement of rock slopes with nonlinear Hoek-Brown failure criterion. Int J Rock Mech Min Sci 44(6):948–953

    Article  Google Scholar 

  39. Yang XL, Zou JF (2006) Stability factors for rock slopes subjected to pore water pressure based on the Hoek-Brown failure criterion. Int J Rock Mech Min Sci 43(7):1146–1152

    Article  Google Scholar 

  40. Yang Y, Xia Y, Zheng H, Liu Z (2021) Investigation of rock slope stability using a 3D nonlinear strength-reduction numerical manifold method. Eng Geol 292:106285

    Article  Google Scholar 

  41. Yoon WS, Jeong UJ, Kim JH (2002) Kinematic analysis for sliding failure of multi-faced rock slopes. Eng Geol 67(1–2):51–61

    Article  Google Scholar 

  42. Zhang WG, Meng FS, Chen FY, Liu HL (2021) Effects of spatial variability of weak layer and seismic randomness on rock slope stability and reliability analysis. Soil Dyn Earthq Eng 146:106735

    Article  Google Scholar 

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  1. Department of Civil Engineering, Malaviya National Institute of Technology Jaipur, Jaipur, India

    Bhawarnab Gautam & Siddharth Mehndiratta

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  1. Bhawarnab Gautam
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  2. Siddharth Mehndiratta
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Correspondence to Siddharth Mehndiratta.

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Gautam, B., Mehndiratta, S. Analysis of a Rock Slope with an Infilled Planar Joint Using Deterministic and Probabilistic Approaches. Indian Geotech J (2024). https://doi.org/10.1007/s40098-024-00925-6

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