Abstract
Slope failures are among the most common natural geohazards in the world’s hilly and mountainous terrains causing loss of life and damage to infrastructures. The road connecting Mertule Maryam and Mekane Selam towns in central Ethiopia passes through extremely rugged terrain with steep hills and deep valleys/gorges. The purpose of this study is to identify and model the stability of selected rock slope sections along the road. For this, a detailed field investigation, including discontinuity survey, in situ rock testing, rock sampling, measuring slope geometry, and orientation, were carried out. From field observations, eight critical rock slope sections were identified for stability modeling using kinematic, limit equilibrium and finite-element methods. Kinematic modeling, which was performed with dips software, showed wedge and toppling modes of failures at slope sections RSS1 and RSS4, respectively, while planar mode of failure for RSS5 and RSS7. Moreover, limit equilibrium method (LEM) and finite-element method (FEM) models were used to determine the factor of safety (FoS) and the stress reduction factor (SRF), respectively, using Swedge, Rocplane, and Roctopple softwares for wedge, planar, and toppling failures, respectively. These modeling approaches were conducted for static dry, static saturated, dynamic dry, and dynamic saturated conditions. The modeling results at these critical rock slope sections showed that these slopes are stable if FoS/SRF > 1 and unstable if FoS/SRF < 1. The performance of remedial measures at different slope profiles based on LEM modeling showed that reducing the slope angle, slope height, and benching a slope have improved the overall stability of rock slopes. Moreover, this study also recommends the application of shotcrete, rock bolts, anchors, and retaining walls to prevent the failure of the critical rock slope sections along the road.
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08 December 2022
A Correction to this paper has been published: https://doi.org/10.1007/s40808-022-01617-x
References
Abramson LW (2002) Slope stability and stabilization methods. Published by John Wiley & Sons Inc, Hoboken
Abramson LW, Lee TS, Sharma S, Boyce GM (2002) Slope stability and stabilization methods. John Wiley and Sons Inc, Hoboken, p 712
Aleotti P, Chowdhury R (1999) Landslide hazard assessment: summary review and new perspectives. Bull Eng Geol Environ 58(1):21–44. https://doi.org/10.1007/s10064005006
Amini M, Majdi A, Veshadi MA (2012) Stability analysis of rock slopes against block- flexure toppling failure. Rock Mech Rock Eng 45(4):519–553
Anbalagan R (1992) Landslide hazard evaluation and zonation mapping in mountainous terrain. Eng Geol 32:269–277
Ankah MLY, Kinca C (2022) Stability analysis of rock slopes using kinematic analysis and numerical modeling: Foça-Bağarası State Highway, Turkey. Modeling Earth Syst Env. https://doi.org/10.1007/s40808-022-01454-y
Ansari TA, Srinivasan V, Singh TN, Das A (2019) Slope instability analysis in phyllitic rock in the lesser Himalayan using three different modeling approaches. Bullet Eng Geology Env. https://doi.org/10.1007/s10064-019-01498-y
Asfaw LM. (1986) Catalogue of Ethiopian earthquakes, earthquake parameters, strain release, and seismic risk. In Proceedings: SAREC-ESTC Conference on Research Development and Current Research Activities in Ethiopia 252–279
Assefa G (1991) Lithostratigraphy and environment of deposition of the late jurassic-early cretaceous sequence of the central part of Northwestern Plateau, Ethiopia. Neues Jahrbuch Für Geological Und Paläontological-Abhandlungen 182:255–284
ASTM D 5731 (1995) ASTM standard test method for determination of point load strength index of rocks. American society for testing and materials, vol. 04.08 Conshohocken, PA, pp 142–148
ASTM D5873 (2001) Standard test method for determination of rock hardness by rebound hammer method
Ayalew L (1999) The effect of seasonal rainfall on landslides in the highlands of Ethiopia. Bull Eng Geol Env 58(1):9–19
Ayalew L, Yamagishi H (2004) Slope failures in the Blue Nile basin, as seen from landscape evolution perspective. Geomorphology 57:95–116
Baker R, Shukha R, Operstein V, Frydman S (2006) Stability charts for pseudo-static slope stability analysis. Soil Dyn Earthq Eng 26(9):813–823
Balazs V (2009) A possible method for estimating the poisson’s rate values of the rock masses. Acta Geod Geoph Hung 44(3):313–322
Barton N, Bandis S. (1990) Review of predictive capabilities of JRC-JCS model in engineering practice
Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mech 10(1):1–54
Binesh SM, Raei S (2014) Upper bound limit analysis of cohesive soils using the mesh-free method. Geomech Geoeng 9(4):265–278
Broch E, Franklin JA (1972) The point-load strength test. Int J Rock Mech Min Sci 9(6):669–676
Bushira KM, Gebregiorgis YB, Verma RK, Sheng Z (2018) Cut soil slope stability analysis along National Highway at Wozeka- Gidole Road, Ethiopia. Modeling Earth Syst Env 4:591–600
Charles CJ, Lee P, Li R, Yeung T, Ibraham Mazlan SM, Tay ZW et al (2020) A porcine model of heart failure with preserved ejection fraction: magnetic resonance imaging and metabolic energetics. Esc Heart Fail 7:93–103. https://doi.org/10.1002/ehf2.1253
Cheng Y, Wei W, Lansivaara T. (2006) Factors of safety by limit equilibrium and strength reduction methods
Cheng YM, Lansivaara T, Wei WB (2007) Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods. Comput Geotech 34(3):137–150 https://doi.org/10.1016/j.compgeo.2006.10.011
Christian JT (2004) Geotechnical engineering reliability: how well do we know what we are doing. J Geotech Geo Env Eng 130(10):985–1003
Dawson EM, Roth WH, Drescher A (1999) Slope stability analysis by strength reduction. Geotechnique 49(6):835–840
Deere DU, Miller RP. (1966).Engineering classification and index properties for intact rocks. Tech Report. Air Force Weapons Lab., New Mexico, No. AFNL-TR 65-116. Kirtland
Gani ND, Abdelsalam MG, Gera S, Gani MR (2008) Stratigraphic and structural evolution of the Blue Nile Basin, Northwestern Ethiopian Plateau. Geo J 44:30–56
Gani NDS, Abdelsalam MG (2006) Remote sensing analysis of the Gorge of the Nile, Ethiopia with emphasis on Dejen–Gohatsion region. J Afr Earth Sci 44 (2):135-15 https://doi.org/10.1016/j.jafrearsci.2005.10.007
Goodman RE (1989) Introduction to rock mechanics, vol 2. Wiley, New York
Griffiths DV, Lane PA (1999) Slope stability analysis by finite elements. Geotechnical 49(3):387–403
Hoek E (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci 43(2):203–215
Hoek E, Bray JD (1981) Rock slope engineering. CRC Press, Boca Raton
Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown failure criterion 2002 edition. Proceed NARMS-Tac 1(1):267–273
Hudson JA, Harrison JP (1997) Engineering rock mechanics. Pergamon, LondonISRM 1979
ISRM (1978) International society of rock mechanics. Suggested methods for determining tensile strength of rock materials. Int J Rock Mech Mining Sci Geomech, Abstract 15(3): 99-103. 27
Kabeta WF, Diro GA, Teshager DK (2020) assessments of geotechnical conditions and slope stability analysis. Int J Sci Res 6(3):10
Kale RY, Khan I, Kharbade A, Sakle C. (2021) An analytical study on slope stability of a highway embankment 08(07) 5
Khandker AA, Anagnostou D, Jeffrey T (2013) Geotechnical challenges in highway engineering in twenty first century. Wayne State University, Michigan, USA
Khanna R, Dubey RK (2020) Comparative assessment of slope stability along road-cuts through rock slope classification systems in Kullu Himalayas, Himachal Pradesh, India. Bull Eng Geol Env 80(2):993–1017 https://doi.org/10.1007/s10064-020-02021-4
Koca TK, Koca MY (2020) Comparative analyses of finite element and limit equilibrium methods for heavily fractured rock slopes. J Earth Syst Sci 129:65–76
Komadja GC, Pradhan SP, Oluwasegun AD, Roul AR, Stanislas TT, Laïb RA, Adebayo B, Onwualu AP (2021) Geotechnical and geological investigation of slope stability of a section of road cut debris-slopes along NH-7 Uttarakhand, India. Results Eng 10:100227
Kumar A, Sharma RK, Mehta BS (2020) Slope stability analysis and mitigation measures for selected landslide sites along NH-205 in Himachal Pradesh, India. J Earth Syst Sci 129(1):135
Lyesse L, Alessandro F, Rotta L. (2020) Analysis and design of energy geo structures
Liu F (2020) Stability analysis of geotechnical slope based on strength reduction method. Geotech Geol Eng. https://doi.org/10.1007/s10706-020-01243-3
Mebrahtu TK, Heinze T, Wohnlich S, Alber M (2022) Slope stability analysis of deep-seated landslides using limit equilibrium and finite element methods in Debre Sina area, Ethiopia. Bullet Eng Geol Env 81:403. https://doi.org/10.1007/s10064-022-02906-6
Mogessie A, Krenn K, Schaflechner J, Koch U, Egger T, Goritchnig B, Bauern FD (2002) A geological excursion to the Mesozoic sediments of the Abay Basin (Blue Nile) recent volcanic of the Ethiopian Main Rift, and basement rocks of the Adola area, Ethiopia. Mitt Österr Miner Ges 147:437
Morgenstern NR, Price VE (1965) The analysis of the stability of general slip surfaces. Géotechnique 15:79–93
Pant JR, Acharya IP. (2021) Stability analysis of road-cut slope (a case study of jiling landslide along the Galchi-Trishuli-Mailung-Syaprubeshi Rasuwagadi Road) 7
Park H, West T (2001) Development of a probabilistic approach for rock wedge failure. Eng Geol 59:233–251
Park HJ, Lee JH, Kim KM, Um JG (2016) Assessment of rock slope stability using GIS-based probabilistic kinematic analysis. Eng Geol 203:56–69
Popescu M. (2001) A suggested method for reporting landslide remedial measures international union of geological sciences working group on landslides, commission on landslide remediation
Pradhan SP, Siddique T (2020) Stability assessment of landslide-prone road cut rock slopes in Himalayan terrain: a finite element method based approach. J Rock Mech Geotech Eng 12:59–73
Raghuvanshi TK, Ibrahim J, Ayalew D (2014) Slope stability susceptibility evaluation parameter ( SSEP ) rating scheme–an approach for landslide hazard zonation. J Africa Earth Sci 99:595–612
Raghuvanshi TK. (2017) Plane failure in rock slopes–a review on stability analysis techniques. J King Saud Univ-Sci
Raghuvanshi TK (2019) Governing factors influence on rock slope stability–Statistical analysis for plane mode of failure. J King Saud Univ Sci 31(4):1254-1263 https://doi.org/10.1016/j.jksus.2019.01.002
Renani HR, Martin CD (2020) Factor of safety of strain-softening slopes. J Rock Mech Geotech Eng 12 (2020) 473e483 https://doi.org/10.1016/j.jrmge.2019.11.004
Rocscience (2004a) Dips7.0, http://www.rocscience.com/software/dips
Rocscience (2004b) Rocdata3.0, http://www.rocscience.com/software/rocdata
Rocscience (2004c) RocPlane2.0, http://www.rocscience.com/software/rocplaneRocscience
Rocscience (2004d) RocTopple2.0, https://www.rocscience.com/software/r
Rocscience (2004e) Slide6.0, http://www.rocscience.com/software/slide
Rocscience (2004f) Swedge4.0, http://www.rocscience.com/software/swede
Sari M (2021) Secondary toppling failure analysis and optimal support design for ignimbrites in the Ihlara Valley (Cappadocia, Turkey) by finite element method (FEM). Geotech Geol Eng. https://doi.org/10.1007/s10706-021-01819-7
Searom G (2017) Landslide hazard evaluation and zonation in and around hagere selam town. A Thesis Submitted to School of Earth sciences Addis Ababa University, Ethiopia
Seyed V, Mphamad E, Jahanmirinezhad H, Haji HM (2011) Zonation of landslide hazards based on weights of evidence Ica modeling along tehran-chalos road path, Iran. Electronic J Geotech Eng 16(10):1083–1097
Shariati M, Fereidooni D (2021) Rock slope stability evaluation using kinematic and kinetic methods along the Kamyaran-Marivan road, west of Iran. J Mt Sci 18(3):779–793
Shariati M, Ramli-Sulong NH, Arabnejad MM, Shafigh P, Sinae H (2011) Assessing the strength of reinforced concrete structures through ultrasonic pulse velocity and schmidt rebound hammer tests. Sci Res Essays 6:213–220
Sharma S, Raghuvanshi T, Anbalagan R (1995) Plane failure analysis of rock slopes. Geotech Geol Eng 13:105–111
Shiferaw HM (2021) Study on the influence of slope height and angle on the factor of safety and shape of failure of slopes based on strength reduction method of analysis. Beni-Suef Univ J Basic Appl Sci 10(1):31
Singh TN, Rajbal S, Bhoop S, Sharma LK, Rajesh S, Ansari MK (2016) Investigations and stability analyses of malin village landslide of Pune District, Maharashtra, India. Nathazards 81(3):2019–2030
Singh HO, Ansari TA, Singh TN, Singh KH (2020) Analytical and numerical stability analysis of road cut slopes in Garhwal Himalaya, India. Geotech Geol Eng. https://doi.org/10.1007/s10706-020-01329-y
Tamrat M, Tibebe GS. (1997) The geology of Ginde Mehert-Jeldu and Amuru-Jarti areas (east Wellega and wetern Shoa), Abay Basin. Ministry of Mines and Energy, Addis Ababa
Tsige D, Quezon ET, Woldearegay DK. (2017) Geotechnical conditions and stability analysis of landslide prone area: a case study in Bonga Town, South-Western Ethiopia. 8(4) 11
Vatanpour N, Ghafoori M, Talouki HH (2014) Probabilistic and sensitivity analyses of effective geotechnical parameters on rock slope stability: a case study of an urban area in northeast Iran. Nat Hazards 71(3):1659–1678. https://doi.org/10.1007/s11069-013-0982-6
Wyllie D, Mah C (2004) Rock slope engineering civil and mining, 4th edn. Spon Press, New York
Wolela A (2009) Sedimentation and depositional environments of the Barremian-Cenomanian Debre Libanose Sandstone, Blue Nile (Abay) Basin, Ethiopia. Cretac Res 30(5):1133-1145, https://doi.org/10.1016/j.cretres.2009.04.002
You G, Mandalawi MA, Soliman A, Dowling K, Dahlhaus P. (2018) Finite element analysis of rock slope stability using shear strength reduction method
Zhang Y, Chen G, Zheng LL, Zhuang X (2013) Effects of geometries on three dimensional slope stability. Canadian Geotech J 50(3):233–324
Zheng RH, Renani CD, Martin (2020) A three-dimensional rigorous method for stability analysis of landslides H factor of the safety of strain-softening slopes. Strength Reduction Method
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Bekele, A., Meten, M. Modeling rock slope stability using kinematic, limit equilibrium and finite-element methods along Mertule Maryam–Mekane Selam road, central Ethiopia. Model. Earth Syst. Environ. 9, 1559–1585 (2023). https://doi.org/10.1007/s40808-022-01563-8
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DOI: https://doi.org/10.1007/s40808-022-01563-8