Abstract
Mokattam is an urban, highly populated region in Egypt that has been subjected to many failures over the past decades, causing huge losses. Toppling failure of the upper limestone blocks in Mokattam often develops due to the differential settlement in the underlying claystone as a result of softening caused by infiltrating water through limestone joints. This mechanism leads to block inclination, increasing the tendency of overturning and sliding outside the slope. Previous research attributed the occurrence of failure to this inclination with little attention to safety factor calculation and lacked emphasis on the effect of cumulative water pressure in limestone joints. This study introduces an integrated conception of the failure mechanism in Mokattam, presenting safety factor calculations and providing a method to quantify the adverse effect of rainfall on stability against toppling, and finally introducing a stability improvement alternative. Safety factor calculations showed that limestone blocks that are stable under their weight could experience a significant reduction in the factor of safety (F.O.S) due to the cumulative water pressure and can further experience failure. Upon studying the effect of several parameters on a factor of safety, this study illustrates the significant increase in stability of blocks using rock bolts, providing a guideline that can be used for the optimum usage of rock bolts for increasing stability in similar cases.
Similar content being viewed by others
Data Availability
Enquiries about data availability should be directed to the authors.
References
Abouleid A, El-Leboudy A, Hafez H, Eid H (1987) Some geotechnical properties of Mokattam Shale. The Egyptian society of soil mechanics and foundation, vol 2
Abd El-Latif M (2012) Slope stability of jointed rock masses. Ph.D. thesis, Ain Shams University, Egypt
Abdallah T, Helal H (1989) The stability of EL-Mokattam plateau and its impact on physical planning Cairo, Egypt. Modeling, simulation and control, C, vol 17, No 2. AMSE Press
Abdel-Tawab S (1989) Engineering geology of some areas in the greater Cairo. Ph.D. thesis, Ain shams university, Egypt
Adel H, Akl S, Hegazy Y (2020) Cost benefit analysis for rock-side slope failure prevention on using reliability based design. Eng Appl Sci 67:2245–2264
Al-Jawadi A (2021) Theoretical models of slope stability analysis in the Maqlub mountain rock cut routes. Iraqi Geol J 54(1A):55–68. https://doi.org/10.46717/igj.54.1A.6Ms-2021-01-27
Amini M, Ardestani A, Khosravi M (2017) Stability analysis of slide-toe-toppling failure. Eng Geol 228:82–96. https://doi.org/10.1016/j.enggeo.2017.07.008
Bowa V, Gang W (2021) Analytical technique for stability analyses of the rock slope subjected to slide head toppling failure mechanisms considering groundwater and stabilization effects. Int J Geo-Engin. https://doi.org/10.1186/s40703-020-00133-0
Cai JC, Zheng D, Np Ju et al (2022) Boundary effect of toppling failure based on three-dimensional mechanical model. J Mt Sci 19:3314–3322. https://doi.org/10.1007/s11629-022-7337-2
Chunlin C (2017) Rock Bolting. In: Chunlin C (ed) Principles and application 1st edn. Elsevier. https://doi.org/10.1016/B978-0-12-804401-8.00001-6
Elbeih SFK (2002) Studying the geoengineering hazards using remote sensing techniques and its application on El-Mokattam Area. M.Sc. thesis, Ain Shams University, Egypt
EL-Leboudy A (1985) Analysis of Mokattam rock falls. In: Balkema AA (ed) Proceedings of the eleventh international conference on soil mechanics and foundation engineering San Francisco. Rotterdam, Nederland, vol 4, pp 2321–2324
El-Nahhas F, Moustafa A, Abdel-Tawab S (1990) Geotechnical characteristics of limestone formations of Gebel Mokattam area. First Alex Conf Struct Geotech Eng 1:9–19
EL-Sohby M, Ellboudy A (1988) Instability of natural slope in interbedded limestone and shale. In: Balkema AA (ed) Proceedings fifth international symposium on landslides. pp 121–123
El-Sohby M, Aboushook M, Mazen O (2004) Slope degradation and analysis of Mokattam plateau, Egypt. 2nd international conference on geotechnical site characterization (ISC-2), Porto, Portugal, pp 1081–1887
Goodman R, Bray J (1976) Toppling of rock slopes, In: Proceedings of the specialty conference rock engineering for foundations and slopes. American society of civil engineers, Boulder, pp 201–234
Helmy H (1996) Stability analysis of jointed rock slopes with special application on Mokattam plateau. Ph.D. thesis faculty of engineering, Ain Shams University, Egypt
Helmy H (2005) Assessment of a protection measure of the rockfalls at the upper Mokattam plateau. The Egyptian geotechnical society 15: part 2/2
Helmy H, El-Nahhas F, Tawfik M (2007) Stabilization of jointed sedimentary rock slopes using anchored wall. In: Proceedings of the sixth international conference on structural and geotechnical engineering, Alexandria University, Egypt, pp 1011–1018
Hoek E, Bray J (1981) Rock slope engineering. The Institution of Mining and Metallurgy, London. https://doi.org/10.1201/9781315274980
Marinos P, Koukis G, Tsiambaos G, Stournaras G (1997) Engineering geology and the environment. 1st edn, CRC press
Moustafa A (1991) Engineering geology of Mokattam city and vicinity, eastern Greater Cairo. Egypt Eng Geol 31:327–344. https://doi.org/10.1016/0013-7952(1)90015-D
Rasha M (2015) Shear strength of interface between swelling clay and sedimentary rock. MSc. thesis, Ain Shams University, Egypt
Tawfik M (2005) Numerical analysis of sedimentary rock slopes. MSc. thesis, Ain Shams University, Egypt
Wang R, Zheng Y, Chen C, Meng F, Zhang W (2023) Stability analysis of antidip bedding rock slopes with very low-persistent cross joints using a limit-equilibrium model and fracture mechanics. Int J Geomech. https://doi.org/10.1061/IJGNAI.GMENG-8151
Wyllie D (2018) Rock Slope Engineering Civil Applications. Taylor & Francis Group. https://doi.org/10.4324/9781315154039
Zhang G (2018) New stability calculation method for rock slopes subject to flexural toppling failure. Int J Rock Mech Min Sci 106:319–328. https://doi.org/10.1016/j.ijrmms.2018.04.016
Zheng Y, Wang R, Chen C, Meng F (2021) Analysis of ethod. Front Earth Sci 9:773088. https://doi.org/10.3389/feart.2021.773088
Funding
The authors have not disclosed any funding.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
A competing interests declaration is mandatory for publication in this journal. Please confirm that this declaration is accurate, or provide an alternative.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Jaher, A.A., Mashhour, I.M., Akl, S.A. et al. Stability Improvement Against Toppling Failure in the Upper Plateau of Gebel Mokattam. Geotech Geol Eng 41, 4153–4168 (2023). https://doi.org/10.1007/s10706-023-02513-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10706-023-02513-6