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Rock slope stability modeling using kinematic and limit equilibrium methods along Woliso to Wonchi lake road, central Ethiopia

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Abstract

Slope failure is one of the major recurring geological hazards along the road that connects Woliso town to Wonchi Lake, Central Ethiopia. As a result, this road was repeatedly blocked by failed rock blocks that delay traffic activities and cause casualties. Thus, this study was aimed at identifying and modeling critical rock slope sections along this road by using the Kinematic and Limit Equilibrium Method (LEM). Parameters such as discontinuity and slope geometry factors, unit weight of rocks, and shear strength parameters of failure planes were used for the modeling. The discontinuity and slope geometry factors were determined via a detailed field survey while the unit weight of rocks was determined in the laboratory using a buoyancy technique. The shear strength parameters of failure planes were determined using Rocscience software. The kinematic and LEM modeling were then done on three critical slope sections (RSS1, RSS2, and RSS3) that were identified during the field survey. The Kinematic modeling revealed that slope section RSS1 is subjected to planar failures whilst slope sections RSS2 and RSS3 are exposed to wedge failures. The LEM modeling in terms of Factor of Safety (FOS) revealed that planar failures identified at RSS1 are unstable under all anticipated conditions with a FOS of less than 1. This modeling has also shown that the wedge of RSS2 is only unstable during saturated conditions illustrating a significant contribution of saturation on slope failure. Moreover, the LEM modeling results also displayed that the wedge of RSS3 which is formed due to the intersection of JS1 and JS3 is also unstable under all projected conditions. In general, from the modeling results, saturation, steep slope cuts, and low shear strength parameters of failure planes are identified as the main factors causing slope instability in the study area. This study has designed rock bolts and shotcrete to stabilize unstable rock blocks of critical slope sections. Moreover, surface and subsurface drainage systems are also recommended for better control of the effects of saturation.

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References

  • Abebe B, Dramis F, Fubelli G, Umar M, Asrat A (2010) Landslides in the Ethiopian highlands and the rift margins. Afri Earth Sci 56:131–138

    Article  Google Scholar 

  • Abramson LW, Lee TS, Sharma S, Boyce GM (2002) Slope stability and stabilization methods. Wiley, New York

    Google Scholar 

  • Alemu T, Besshawered E, Ayalew A, Zewede T, Yohannes G, Bekele H, Kasahun T (2010) Geological Map of Akaki Beseka area. Geological Survey of Ethiopia, USA

    Google Scholar 

  • Aleotti P, Chowdhury R (1999) Landslide hazard assessment: summary review and new perspectives. Bull Eng Geol Environ 58:21–44. https://doi.org/10.1007/s100640050066

    Article  Google Scholar 

  • Alzo’ubi AK, (2016) Rock slopes processes and recommended methods for analysis. Int J Geomate 11(25):2520–2527

    Google Scholar 

  • Anbalagan R (1992) Landslide hazard evaluation and zonation mapping in mountainous terrain. Eng Geol 32:269–277

    Article  Google Scholar 

  • ASTM C 805 (2018) Standard Test Method for Rebound Number of Hardened Concrete. ASTM International, West Conshohocken, PA, 2018. www.astm.org

  • Ayalew L (1999) The effect of seasonal rainfall on landslides in the highlands Of Ethiopia. Bull Eng Geol Env 58(1):9–19

    Article  Google Scholar 

  • Ayalew L, Yamagishi H, Ugawa N (2004) Landslide susceptibility mapping using GISbased weighted linear combination, the case in the Tsugawa area of Agano River, Niigata Prefecture, Japan. Landslides 1:73–81

    Article  Google Scholar 

  • Aydin A, Basu A (2005) The Schmidt hammer in rock material characterization. Eng Geol 81(1):1–14. https://doi.org/10.1016/j.enggeo.2005.06.006

    Article  Google Scholar 

  • Bar N, Yacoub TE, McQuillan A (2019) Analysis of a large open pit mine in Western Australia using finite element and limit equilibrium methods. 53rd US Rock Mech Symp

  • Barton NR (1976) The shear strength of rock and rock joints. Int J Mech Min Sci Geomech Abstr. 13(10):1–24

    Google Scholar 

  • Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mecha Felsmech MCaniq Des Roch 10(1–2):1–54. https://doi.org/10.1007/bf01261801

    Article  Google Scholar 

  • Barton N, Bandis S (1990) Review of predictive capabilities of JRC-JCS model in engineering practice. In: Balkema, AA, (Eds), Proceedings of International Conference on Rock Joints, Leon, Norway

  • Bekele A, Meten M (2022) Modeling rock slope stability using kinematic, limit equilibrium, and finite-element methods along Mertule Maryam–mekane-selam road. Mod Earth Syst Environm, Central Ethiopia. https://doi.org/10.1007/s40808-022-01563-8

    Book  Google Scholar 

  • Bell FG (2007) Engineering Geology. In: Bell FG (ed) Butterworth-Heinemann (Elsevier) Burlington. MA

    Google Scholar 

  • Bieniawski ZT (1989) Engineering Rock Mass Classifications. Wiley, New York, p 251

    Google Scholar 

  • Bommer J, Rodrı́guez C, (2002) Earthquake-induced landslides in central america. Eng Geol 63(3–4):189–220. https://doi.org/10.1016/s0013-7952(01)00081-3

    Article  Google Scholar 

  • Bushira KM, Gebregiorgis YB, Verma RK, Sheng Z (2018) Cut soil slope stability analysis along national highway at wozeka-gidole road. Ethio Model Earth Syst Environm 4(2):591–600. https://doi.org/10.1007/s40808-018-0465-6

    Article  Google Scholar 

  • Chowdhury R, Flentje P, Bhattacharya G (2009) Geotechnical slope analysis. CRC Press

    Book  Google Scholar 

  • Dahal RK, Hasegawa S, Masuda T, Yamanaka M (2006) Roadside Slope Failures in Nepal during Torrential Rainfall and their Mitigation. Disaster Mitigation of Debris Flows, Slope Failures and Landslides

    Google Scholar 

  • Duncan JM (2000) Factors of Safety and Reliability in Geotechnical Engineering. J Geotech Geoenvironm Eng ASCE 126(4):307–316

    Article  Google Scholar 

  • Ermias B, Raghuvanshi TK, Abebe B (2017) Landslide Hazard Zonation (LHZ) around Alemketema Town, North Showa Zone, Central Ethiopia - A GIS-based expert evaluation approach. Int Jr Earth Sci & Engg 10(1):33–44

    Google Scholar 

  • Girma F, Raghuvanshi TK, Ayenew T, Hailemariam T (2015) Landslide hazard zonation in Ada Berga District, Central Ethiopia –J. Geomatics 90:25–38

    Google Scholar 

  • Goodman RE (1989) Introduction to rock mechanics, vol 2. Wiley, New York

    Google Scholar 

  • Hack R (2002) An evaluation of slope stability classification. Proc. Portugal, Madeira, Funchal,. Eds: C. Dinis da Gama & L. Ribeira e Sousa, Publ. Sociedade Portuguesa de Geotecnia, Av. do Brasil, Lisboa, Portugal.

  • Hamza T, Raghuvanshi TK (2017) GIS-based landslide hazard evaluation and zonation a case from jeldu district, central Ethiopia. J King Saud Univer Sci. 29(2):151–165

    Article  Google Scholar 

  • Hocking G (1976) A method for distinguishing between single and double-plane sliding of tetrahedral wedges. Int J Rock Mech Min Sci Geomech Abstr 13:225–226

    Article  Google Scholar 

  • Hoek E, Bray JW (1981) Rock Slope Engineering. Revised 3rd Edition, The Institute of Mining and Metallurgy, London.

  • Hudson JA, Harrison JP (1997) Engineering rock mechanics. Pergamon, London

    Google Scholar 

  • ISRM (1978) International Society of Rock Mechanics Suggested Methods for Determining Tensile Strength of Rock Materials. Int J Rock Mech Min Sci 15(3):99–103

    Article  Google Scholar 

  • Jing L (2003) A review of techniques, advances, and outstanding issues in numerical modeling for rock mechanics and rock engineering. Int J Rock Mech Min Sci. https://doi.org/10.1016/S1365-1609(03)00013-3

    Article  Google Scholar 

  • Johnson RB, Degraff JV (1991) Principles of Engineering Geology. John Wiley and Sons, New York, p 497

    Google Scholar 

  • Keefer D (2000) Statistical analysis of an earthquake-induced landslide distribution — the 1989 Loma Prieta. Calif Event Eng Geol 58(3–4):231–249. https://doi.org/10.1016/s0013-7952(00)00037-5

    Article  Google Scholar 

  • Lamessa G, Meten M (2021) Stability Analysis of rock slope along selected road sections from Gutane Migiru town to Fincha Sugar Factory. SN Applied Sciences, Oromiya, Ethiopia. https://doi.org/10.1007/s42452-020-04026-w

    Book  Google Scholar 

  • Lisle RJ (2004) Calculation of the daylight envelope for the plane failure of rock slopes. Geotechnique 54(4):279–280

    Article  Google Scholar 

  • 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. Bullet Eng Geol Environm, Ethiopia. https://doi.org/10.1007/s10064-022-02906-6

    Book  Google Scholar 

  • Pantelidis L (2009) Rock slope stability assessment through rock mass classification systems. Int J Rock Mech Min Sci 46(2):315–325

    Article  Google Scholar 

  • Park H, West T (2001) Development of a probabilistic approach for rock wedge failure. Eng Geol 59:233–251

    Article  Google Scholar 

  • Raghuvanshi TK (2017) Plane failure in rock slopes–A review on stability analysis techniques. J King Saud Univer Sci. 23:767

    Google Scholar 

  • Raghuvanshi T, Ibrahim J, Ayalew D (2014) Slope stability susceptibility evaluation parameter (SSEP) rating scheme – An approach for landslide hazard zonation. J Afr Earth Sc 99:595–612. https://doi.org/10.1016/j.jafrearsci.2014.05.004

    Article  Google Scholar 

  • Rawat V (2019) Efficiency of shear wall location on reinforced concrete buildings in ethiopia under seismic excitation. Int J Rec Technol Eng (IJRTE) 8(4):10624–10631. https://doi.org/10.35940/ijrte.d4252.118419

    Article  Google Scholar 

  • Rocscience (2004a) Dips 6.0, http://www.rocscience.com/softw are/dips.

  • Rocscience (2004b) Rocdata 3.0, http://www.rocscience.com/software/rocdata

  • Rocscience (2004c) RocPlane 2.0, http://www.rocscience.com/software/rocplane

  • Rocscience (2004d) Swedge 4.0 http://www.rocscience.com/software/swedge

  • Romana M (1985) New adjustment ratings for application of Bieniawski classification to the slope. In: Int. Sym. Role Rock Mech., Zacatecas,

  • Sharma S, Raghuvanshi T, Sahai A (1999) An engineering geological appraisal of the Lakhwar dam, Garhwal Himalaya. India Eng Geol 53(3–4):381–398

    Article  Google Scholar 

  • Song D, Chen Z, Ke Y, Nie W (2020) Seismic response analysis of a bedding rock slope based on the time-frequency joint analysis method: a case study from the middle reaches of the Jinsha River. China Eng Geol 274:105731

    Article  Google Scholar 

  • Tang H, Yong R, EzEldin MAM (2016) Stability analysis of stratified rock slopes with spatially variable strength parameters: the case of Qianjiangping landslide. Bull Eng Geol Environ 76:839–853. https://doi.org/10.1007/s10064-016-0876-4

    Article  Google Scholar 

  • Temesgen B, Mohammed U, Korme T (2001) Natural hazard assessment using gis and remote sensing methods, with particular reference to the landslides in the wondogenet area. Solar Terrest Planet Sci 26(9):665–615

    Google Scholar 

  • Turrini CT, Visintainer P (1998) Proposal of a method to define areas of landslide hazard and application to an area of the Dolomites. Italy Eng Geol 50:255–265

    Article  Google Scholar 

  • Ulusay R, Karakul H (2015) Assessment of basic friction angles of various rock types from Turkey under dry, wet, and submerged conditions and some considerations on tilt testing. Bullet Eng Geol Environm 75(4):1683–1699. https://doi.org/10.1007/s10064-015-0828-4

    Article  Google Scholar 

  • Wang X, Niu R (2009) Spatial forecast of landslides in three gorges based on spatial data mining. Sensors 9(3):2035–2061. https://doi.org/10.3390/s90302035

    Article  Google Scholar 

  • Woldearegay K (2013) Review of the occurrences and influencing factors of landslides in the highlands of Ethiopia: With implications for infrastructural development. Momona Ethiop J Sci 5(1):3–31

    Article  Google Scholar 

  • Wyllie DC, Mah CW (2004) Rock Slope Engineering 4thEd. The Institution of Mining and Metallurgy, London

    Google Scholar 

  • Wyllie DC, Norrish N (1996) Landslides: Investigation And Mitigation. Transport Res Board. 11:474–504

    Google Scholar 

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Acknowledgements

The authors express their sincere thanks to Oromia Water Works and Design Supervision Enterprise for allowing laboratory testing. The first author also extends her Special thanks to Adama Science and Technology University for the financial support.

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Authors and Affiliations

  1. Department of Applied Geology, School of Applied Natural Science, Adama Science and Technology University, P.O.Box: 1888, Adama, Ethiopia

    Mahlet Tesfaye & Tola Garo

  2. Department of Geology, School of Earth Sciences, Addis Ababa University, P.O.Box: 1176, Addis Ababa, Ethiopia

    Bayisa Regassa

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  1. Mahlet Tesfaye
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  2. Bayisa Regassa
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Correspondence to Tola Garo.

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Tesfaye, M., Regassa, B. & Garo, T. Rock slope stability modeling using kinematic and limit equilibrium methods along Woliso to Wonchi lake road, central Ethiopia. Model. Earth Syst. Environ. 10, 331–347 (2024). https://doi.org/10.1007/s40808-023-01780-9

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