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Stability analysis of cut slopes using empirical, kinematical, numerical and limit equilibrium methods: case of old Jeddah–Mecca road (Saudi Arabia)

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Abstract

The stability of natural and man-made rock slopes has always been of great concern for engineering geology studies. To ensure a safe and functional design of excavated slopes, the first and most crucial step is to use reliable input parameters while searching for possible failure modes at the preliminary design stage. It is highly important for practicing engineers to determine the best material property for a chosen failure criterion. This study aims to analyze the stability condition of a case road cut from different aspects. For this purpose, two well-known failure criteria proposed for rock masses and rock joints were applied in the study depending on the scale of the problem in the slope face. The Hoek–Brown failure criterion was used to obtain input data required for modeling intact rock and rock mass behavior, and the Barton-Bandis shear strength criterion to determine the input data necessary for the modeling of rock joint behavior. SMRTool and Dips 7.0 programs were utilized to analyze the structurally controlled instabilities due to discontinuities in the cut slope. Slide 2018 and RS2 9.0 programs were executed to examine the stability condition of cut slope subjected to circular and non-circular failures, respectively. According to the results of numerical and limit equilibrium methods, no stability problem occurred in the case of slope due to non-sliding circular or non-circular slip failures. However, according to the results of empirical and kinematical analyses, some structurally controlled sliding failure modes of planar, wedge, and toppling were expected on the slope face. The result of this study clearly shows that to reach a final decision, different analysis methods should be used to evaluate the stability of cut slopes by considering various conditions of jointed rock masses.

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References

  • Abu Bakar MZ, Shahzad M, Ali Z, Iqbal MM, Saqib S (2015) Rock slope stability analysis of quarry sites at West Malvern, UK, Pakistan. J Sci 67(1):39–44

    Google Scholar 

  • Abu Seif E-SS, Bahabri AA, El-Hamed AE-H (2018) Geotechnical properties of precambrian carbonate, Saudi Arabia. Arab J Geosci 11(17):500

    Google Scholar 

  • Agliardi F, Crosta GB, Meloni F, Valle C, Rivolta C (2013) Structurally-controlled instability, damage and slope failure in a porphyry rock mass. Tectonophysics 605:34–47

    Google Scholar 

  • Akram MS, Ahmed L, Farooq S, Ahad MA, Muzammil S, Zaidi H, Khan M, Azhar MU (2018) Geotechnical evaluation of rock cut slopes using basic rock mass rating (RMR basic), slope mass rating (SMR) and kinematic analysis along Islamabad Muzaffarabad dual carriageway (IMDC), Pakistan. J Biodv Envirn Sci 13(1):297–306

    Google Scholar 

  • Alqahtani MB, Abu Seif E-SS (2013) Correlations between petrography and some engineering properties of coralline limestone: a case study along the Red Sea coast of Jeddah, Saudi Arabia. J King Abdulaziz Univ-Earth Sci 24(1):99–114

    Google Scholar 

  • Baghbanan A, Kefayati S, Torkan M, Hashemolhosseini H, Dehnavi RN (2017) Numerical probabilistic analysis for slope stability in fractured rock masses using DFN–DEM approach. Int J Min Geo Engng 51(1):79–90

    Google Scholar 

  • Bandis SC, Lumsden AC, Barton NR (1983) Fundamentals of rock joint deformation. Int J Rock Mech Min Sci Geomech Abstr 20(6):249–268

    Google Scholar 

  • Bar N, Barton N (2017) The Q-slope method for rock slope engineering. Rock Mech Rock Engng 50(12):3307–3322

    Google Scholar 

  • Bar N, Mcquillan A (2018) 3D limit equilibrium slope stability analysis for anisotropic and faulted rock masses in Australian coal and iron ore mines. In: ARMS10 10th Asian rock mechanics symposium

  • Barlow J, Gilham J, Ibarra Cofra I (2017) Kinematic analysis of sea cliff stability using UAV photogrammetry. Int J Remote Sens 38(8–10):2464–2479

    Google Scholar 

  • Barton NR (1982) Modelling rock joint behaviour from in situ block tests-Implications for nuclear waste repository design. Technical Report 81–83, Terra Tek, Salt Lake City

  • Barton NR, Bandis SC (1990) Review of predictive capabilities of JRC-JCS model in engineering practice. In: Proc. Int. Symp. on Rock Joints, Loen, Norway, pp. 603–610

  • Barton NR, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mech 10(1–2):1–54

    Google Scholar 

  • Barton NR, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech 6(4):189–236

    Google Scholar 

  • Basahel H, Mitri H (2017) Application of rock mass classification systems to rock slope stability assessment: a case study. J Rock Mech Geotech Engng 9(6):993–1009

    Google Scholar 

  • Bieniawski ZT (1989) Engineering rock mass classifications. John Wiley & Sons Ltd, Hoboken, p 251

    Google Scholar 

  • Bishop AW (1955) The use of the slip circle in the stability analysis of slopes. Geotechnique 5(1):7–17

    Google Scholar 

  • Cai M (2010) Practical estimates of tensile strength and Hoek-Brown strength parameter mi of brittle rocks. Rock Mech Rock Engng 43(2):167–184

    Google Scholar 

  • Cai M, Kaiser PK (2006) Visualization of rock mass classification systems. Geotech Geol Engng 24(4):1089–1102

    Google Scholar 

  • Daftaribesheli A, Ataei M, Sereshki F (2011) Assessment of rock slope stability using the fuzzy slope mass rating (FSMR) system. Appl Soft Comp 11(8):4465–4473

    Google Scholar 

  • Deng D, Li L, Wang J, Zhao L (2016) Limit equilibrium method for rock slope stability analysis by using the generalized Hoek–Brown criterion. Int J Rock Mech Min Sci 89(2):176–184

    Google Scholar 

  • Dershowitz WS, La Pointe PR, Doe T (2000) Advances in discrete fracture network modeling. In: Proceedings of the US EPA/NGWA fractured rock conference—info.ngwa.org, pp 882–894

  • Duncan JM, Wright SG (2005) Soil strength and slope stabilty. Wiley, New York, p 309

    Google Scholar 

  • Duzgun HSB, Bhasin RK (2009) Probabilistic stability evaluation of oppstadhornet rock slope, Norway. Rock Mech Rock Eng 42(5):729–749

    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

    Google Scholar 

  • Farah K, Ltifi M, Abichou T, Hassis H (2014) Comparison of some probabilistic methods for analyzing slope stability problem. Int J Civ Eng 12(3):264–268

    Google Scholar 

  • Faramarzi L, Zare M, Azhari A, Tabaei M (2017) Assessment of rock slope stability at Cham-Shir dam power plant pit using the limit equilibrium method and numerical modeling. Bull Eng Geol Environ 76(2):783–794

    Google Scholar 

  • Fattahi H (2017) Prediction of slope stability using adaptive neuro-fuzzy inference system based on clustering methods. J Min Environ 8(2):163–177

    Google Scholar 

  • Fırıncıoglu BS, Ercanoglu M (2019) Two- and three-dimensional slope stability evaluation in a residential area: Denizkonak landslides in Cide (Kastamonu, NW Turkey). Natural Hazards. https://doi.org/10.1007/s11069-019-03752-8

    Article  Google Scholar 

  • Fu W, Liao Y (2010) Non-linear shear strength reduction technique in slope stability calculation. Comp Geotech 37(3):288–298

    Google Scholar 

  • Goodman RE (1989) Introduction to rock mechanics, 2nd edn. Wiley, New York, p 562

    Google Scholar 

  • Goodman RE, Shi GH (1985) Block theory and its application to rock engineering. Prentice Hall, London, p 338

    Google Scholar 

  • 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. Geo Nat Haz Risk 7(5):1677–1690

    Google Scholar 

  • Gurocak Z, Alemdag S, Zaman MM (2008) Rock slope stability and excavability assessment of rocks at the Kapikaya dam site, Turkey. Eng Geol 96(1–2):17–27

    Google Scholar 

  • Hammah R, Yacoub T, Corkum B, Curran JH (2008) The practical modelling of discontinuous rock masses with finite element analysis. In: 42nd US Rock Mech Symp, pp 56–63

  • Hoek E, Bray JW (1991) Rock slope engineering. Elsevier Science Publishing, New York, p 358

    Google Scholar 

  • Hoek E, Brown ET (1980) Underground excavations in rock. Instn Min Metall, London

    Google Scholar 

  • Hoek E, Brown ET (1997) Practical estimates or rock mass strength. Int J Rock Mech Min Sci 34:1165–1186

    Google Scholar 

  • Hoek E, Kaiser PK, Bawden WF (1995) Support of underground excavations in hard rock. Balkema, Rotterdam, p 225

    Google Scholar 

  • Hoek E, Carranza-Torres C, Corkum B (2002) Hoek–Brown failure criterion—2002 edition. In: 1st North American rock mechanics symposium, Toronto, pp. 267–273

  • Hoek E, Carter TG, Diederichs MS (2013) Quantification of the geological strength index chart. In: 47th US rock mechanics/geomechanics symposium, San Francisco, USA

  • ISRM (2007). In: Ulusay R, Hudson JA (Eds.) The complete ISRM suggested methods for rock characterization, testing and monitoring:1974–2006. ISRM Turkish National Group, Ankara. pp 628

  • Janbu N (1968) Slope stability computations. Soil Mechanics and Foundation Engineering Report. The Technical University of Norway, Trondheim

    Google Scholar 

  • Jang H-S, Kang S-S, Jang B-A (2014) Determination of joint roughness coefficients using roughness parameters. Rock Mech Rock Eng 47(6):2061–2073

    Google Scholar 

  • Kaya A (2016) Bir kaya şevinin devrilme türü duraysızlık açısından kinematik ve sayısal analizlerle değerlendirilmesi (Devgeriş, Samsun). Jeoloji Müh Dergisi 40(1):53–68 (in Turkish)

    Google Scholar 

  • Kentli B, Topal T (2004) Assessment of rock slope stability for a segment of the Ankara-Pozantı motorway, Turkey. Eng Geol 74(1–2):73–90

    Google Scholar 

  • Kundu J, Sarkar K, Singh TN (2017) Static and dynamic analysis of rock slope—a case study. Procedia Eng 191:744–749

    Google Scholar 

  • 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 45:689–700

    Google Scholar 

  • Li AJ, Merifield RS, Lyamin AV (2011) Effect of rock mass disturbance on the stability of rock slopes using the Hoek–Brown failure criterion. Comp Geotech 38(4):546–558

    Google Scholar 

  • Liu Y-C, Chen C-S (2007) A new approach for application of rock mass classification on rock slope stability assessment. Eng Geol 89(1–2):129–143

    Google Scholar 

  • Mas Ivars D (2010) Bonded particle model for jointed rock mass. PhD Thesis, KTH-Engineering Geology and Geophysics Research Group. Royal Institute of Technology (KTH)

  • Mas Ivars D, Pierce ME, Darcel C, Reyes-Montes J, Potyondy DO, Paul Young R, Cundall PA (2011) The synthetic rock mass approach for jointed rock mass modelling. Int J Rock Mech Min Sci 48(2):219–244

    Google Scholar 

  • Mehranpour MH, Kulatilake PHSW, Xingen M, He M (2018) Development of new three-dimensional rock mass strength criteria. Rock Mech Rock Eng 51(11):3537–3561

    Google Scholar 

  • Min K-B, Jing L (2003) Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method. Int J Rock Mech Min Sci 40(6):795–816

    Google Scholar 

  • Moore TA, Al-Rehaili MH (1989) Geologic map of the Makkah Quadrangle, Sheet 21D, Kingdom of Saudi Arabia, Ministry of Petroleum and Mineral Resources. Deputy Ministry for Mineral Resources Publication, Jeddah

    Google Scholar 

  • Morelli GL (2017) Alternative quantification of the geological strength index chart for jointed rocks. Geotech Geol Eng 35(6):2803–2816

    Google Scholar 

  • Palmstrom, A. (1995). RMi-a rock mass characterization system for rock engineering purposes. Ph.D. thesis, University of Oslo

  • 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

    Google Scholar 

  • Patnayak S, Reddy KN, Gupta RN (2002) Slope stability analysis of a lead-zinc open pit mine using limit equilibrium and numerical methods. Int J Sur Min Recl Environ 16(3):196–216

    Google Scholar 

  • Qian ZG, Li AJ, Lyamin AV, Wang CC (2017) Parametric studies of disturbed rock slope stability based on finite element limit analysis methods. Comp Geotech 81:155–166

    Google Scholar 

  • Ramamurthy T, Venkatappa Rao G, Sheshagiri Rao K (1988) A non-linear strength criterion for rocks. In: Proceedings of 5th Australia–New Zealand conference on geomechanics, Sydney, pp 247–252

  • Read SAL, Richards LR (2015) Guidelines for use of tensile data in the calculation of the Hoek–Brown constant mi. In: 13th Int ISRM Congr. Can Inst Min & Metal, Montreal, pp 1–14

  • Riquelme A, Tomas R, Abellan A (2014) SMRTool beta. A calculator for determining slope mass rating (SMR). Universidad de Alicante. http://personal.ua.es/es/ariquelme/smrtool.html. Accessed 15 Nov 2018

  • Rocscience Inc. (2007) RocLab User’s Guide. Rocscience Inc, Toronto. 25 pp. https://www.rocscience.com. Accessed 15 Nov 2018

  • Rocscience Inc. (2018a) Dips Version 7.0–graphical and statistical analysis of orientation data. https://www.rocscience.com. Toronto, Ontario, Canada. Accessed 17 Nov 2018

  • Rocscience Inc. (2018b) Slide Version 8.0–2D limit equilibrium slope stability analysis. https://www.rocscience.com. Toronto, Ontario, Canada. Accessed 17 Nov 2018

  • Rocscience Inc. (2018c) RS2 Version 9.0–finite element analysis for excavations and slopes. https://www.rocscience.com. Toronto, Ontario, Canada. Accessed 17 Nov 2018

  • Romana M (1985) New adjustment ratings for application of Bieniawski classification to slopes. In: proceedings of international symposium on the role of rock mechanics. Zacatecas: ISRM; pp 49–53

  • Romana M (1993) A geomechanical classification for slopes: slope mass rating. In: Hudson JA (ed) Comprehensive rock engineering. Pergamon Press, Oxford

    Google Scholar 

  • Roosta RM, Sadaghiani MH, Pak A (2005) Strength reduction technique in stability analysis of jointed rock slopes. Int J Civil Eng 3(3–4):152–165

    Google Scholar 

  • Russo G (2009) A new rational method for calculating the GSI. Tunnel Under Space Tech 24:103–111

    Google Scholar 

  • Sabtan AA, Shehata WM (2000) Evaluation of engineering properties of scoria in central Harrat Rahat, Saudi Arabia. Bull Eng Geol Environ 59(3):219–225

    Google Scholar 

  • Sari M (2010) A simple approximation to estimate the Hoek-Brown parameter ‘mi’ for intact rocks. In: Zhao J, Labiouse V, Dudt JP, Mathier JF (eds) Rock mechanics in civil and environmental engineering. CRC Press, Lausanne, pp 169–172

    Google Scholar 

  • Sari M (2012) An improved method of fitting experimental data to the Hoek-Brown failure criterion. Eng Geol 127:27–35

    Google Scholar 

  • Sari M (2019) Incorporation of uncertainty in estimating the rock mass uniaxial strength using a fuzzy inference system. Arab J Geosci 12(2):18

    Google Scholar 

  • Sarkar S, Kanungo DP, Kumar S (2012) Rock mass classification and slope stability assessment of road cut slopes in Garhwal Himalaya, India. Geotech Geol Eng 30(4):827–840

    Google Scholar 

  • Satici O, Unver B (2015) Assessment of tunnel portal stability at jointed rock mass: a comparative case study. Comp Geotech 64:72–82

    Google Scholar 

  • Scholtes L, Donze FV (2015) A DEM analysis of step-path failure in jointed rock slopes. Comptes Rendus Mécanique 343(2):155–165

    Google Scholar 

  • Shen J, Karakus M, Xu C (2013) Chart-based slope stability assessment using the generalized Hoek–Brown criterion. Int J Rock Mech Min Sci 64:210–219

    Google Scholar 

  • Sheorey PR, Biswas AK, Choubey VD (1989) An empirical failure criterion for rocks and jointed rock masses. Eng Geol 26:141–159

    Google Scholar 

  • Shi G-H (1993) Block system modeling by discontinuous deformation analysis. Computational Mechanics Publications, Southampton

    Google Scholar 

  • 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(22):759

    Google Scholar 

  • Spencer E (1967) A method of analysis of the stability of embankments assuming parallel inter-slice forces. Geotechnique 17(1):11–26

    Google Scholar 

  • 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(3):217–235

    Google Scholar 

  • Styles TD, Coggan JS, Pine RJ (2011) Stability analysis of a large fractured rock slope using a DFN-based mass strength approach. Slope Stability 2011. Vancouver

  • Sun JP, Zhao ZY (2012) Rock slope stability analysis using the discontinuous deformation analysis. In: ISRM 12th Int Cong Rock Mech. pp 1997–2001

    Google Scholar 

  • Sun C, Chai J, Xu Z, Qin Y, Chen X (2016) Stability charts for rock mass slopes based on the Hoek–Brown strength reduction technique. Eng Geol 214:94–106

    Google Scholar 

  • Tang H, Yong R, Ez Eldin MAM (2017) Stability analysis of stratified rock slopes with spatially variable strength parameters: the case of Qianjiangping landslide. Bull Eng Geol Environ 76(3):839–853

    Google Scholar 

  • Tatone BSA, Grasselli G (2010) ROCKTOPPLE: a spreadsheet-based program for probabilistic block-toppling analysis. Comp Geosci 36(1):98–114

    Google Scholar 

  • Tomas R, Delgado J, Seron JB (2007) Modification of slope mass rating (SMR) by continuous functions. Int J Rock Mech Min Sci 44(7):1062–1069

    Google Scholar 

  • Tutluoglu L, Öge IF, Karpuz C (2011) Two and three dimensional analysis of a slope failure in a lignite mine. Comp Geosci 37(2):232–240

    Google Scholar 

  • Tzamos S, Sofianos AI (2007) A correlation of four rock mass classification systems through their fabric indices. Int J Rock Mech Min Sci 44(4):477–495

    Google Scholar 

  • Wang W, Shen J (2017) Comparison of existing methods and a new tensile strength based model in estimating the Hoek–Brown constant mi for intact rocks. Eng Geol 224:87–96

    Google Scholar 

  • Wu Q, Kulatilake PHSW (2012) REV and its properties on fracture system and mechanical properties, and an orthotropic constitutive model for a jointed rock mass in a dam site in China. Comp Geotech 43:124–142

    Google Scholar 

  • Wyllie DC, Mah CW (2004) Rock slope engineering: civil and mining, 4th edn. Spon Press, New York

    Google Scholar 

  • Yardimci AG, Karpuz C (2018) Fuzzy approach for preliminary design of weak rock slopes in lignite mines. Bull Engng Geol Environ 77(1):253–264

    Google Scholar 

  • Yoshida N, Morgenstern NR, Chan DH (1990) Failure criterion for stiff soils and rocks exhibiting softening. Can Geotech J 27:195–202https://doi.org/10.1007/978-3-319-61902-6_18

    Google Scholar 

  • You G, Mandalawi MA, Soliman A, Dowling K, Dahlhaus P (2018) Finite element analysis of rock slope stability using shear strength reduction method. In: Frikha W et al (eds) Soil Testing, Soil Stability and Ground Improvement, Sustainable Civil Infrastructures. Springer, Cham, pp 227–235

    Google Scholar 

  • Yudhbir RK, Lemanza W, Prinzl F (1983) An empirical failure criterion for rock masses. In: Proceedings of the 5th international congress on rock mechanics, Melbourne, 1. Balkema, Rotterdam, pp B1–B8

  • Zhang L (2010) Estimating the strength of jointed rock masses. Rock Mech Rock Eng 43(4):391–402

    Google Scholar 

  • Zhang Q, Huang X, Zhu H, Li J (2019) Quantitative assessments of the correlations between rock mass rating (RMR) and geological strength index (GSI). Tunnel Under Space Tech 83:73–81

    Google Scholar 

  • Zheng J, Kulatilake PHSW, Deng J, Wei J (2016) Development of a probabilistic kinematic wedge sliding analysis procedure and application to a rock slope at a hydropower site in China. Bull Eng Geol Environ 5(4):1413–1428

    Google Scholar 

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Acknowledgements

The author thanks Dr. Thamer Yacoub (Rocscience Inc.) for his technical advice regarding FE analysis and Dr. Murat Kalkan (Aksaray University) for his kind help in drawing the geological map. The author acknowledges the two anonymous reviewers for their critical comments and valuable suggestions which considerably improved the original manuscript.

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    Mehmet Sari

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Sari, M. Stability analysis of cut slopes using empirical, kinematical, numerical and limit equilibrium methods: case of old Jeddah–Mecca road (Saudi Arabia). Environ Earth Sci 78, 621 (2019). https://doi.org/10.1007/s12665-019-8573-9

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