Document Type : Case Study


1 Department of Mining Engineering, University of Engineering and Technology, Peshawar, Pakistan

2 Department of Civil Engineering, University of Engineering and Technology, Peshawar, Pakistan


The design of a stable slope in a rock mass environment is a quite complicated job due to the anisotropic behaviour of the rock mass. In this research work, the cut slopes at the Swat motorway in the weakest schist rock is numerically analyzed by the shear strength reduction (SSR) approach using the Finite Element-based 2D RS2 software. The slope is divided into two cases according to the nature of the rock. Each case of the cut slope is analyzed by two stabilization methods: 1) changing the characteristics of the slope 2) support system installation based on the Mohr-Coulomb (MCC) and Generalized Hoek and Brown (GHB) failure criteria in order to propose the most appropriate method for slope stabilization. The results obtained reveal that the Critical Strength Reduction Factor (CSRF) before applying the stabilization methods is 1.34 (MCC) and 1.04 (GHB) for Case-I and 1.21 (MCC) and 0.53 (GHB) for Case-II. CSRF for Case-I after changing the characteristics of the slope is observed to be 2.43 (MCC) and 2.33 (GHB), while for Case-II is 1.82 (MCC) and 1.26 (GHB), respectively. CSRF for Case-I after the support installation criteria is 1.59 (MCC) and 1.07 (GHB), while for Case-II is 1.65 (MCC) and 0.5 (GHB), respectively. Based on the comparative analysis, it is revealed that changing the characteristics of the slope method shows prominent results in both cases; therefore, this method can be effectively used in order to stabilize the slope in the weakest rock mass environment.


[1]. Sari, M. (2019). Stability analysis of cut slopes using empirical , kinematical , numerical and limit equilibrium methods : case of old Jeddah Mecca road ( Saudi Arabia ). Environmental Earth Sciences. 78 (21): 1–25. doi:10.1007/s12665-019-8573-9
[2]. Tschuchnigg, F., Medicus, G. and Schneider-Muntau, B. (2019). Slope stability analysis: Barodesy vs linear elastic – Perfectly plastic models. E3S Web of Conferences. 92: 1–5. doi:10.1051/e3sconf/20199216014
[3]. Hussain, Sajjad, Mohammad, N., Khan, M., Rehman, Z.U. and Tahir, M. (2016). Comparative Analysis of Rock Mass Rating Prediction Using Different Inductive Modeling Techniques. International Journal of Mining Engineering and Mineral Processing. 2016 (1): 9–15. doi:10.5923/j.mining.20160501.02
[4]. Hussain, Sajjad, Khan, M., Rahman, Z.U., Mohammad, N., Raza, S., Tahir, M. and Khan, N.M. (2018). Evaluating the predicting performance of indirect methods for estimation of rock mass deformation modulus using inductive modelling techniques. Journal of Himalayan Earth Sciences (Vol. 51).
[5]. Daftaribesheli A., Ataei M. and Sereshki. F. (2011). Assessment of rock slope stability using the Fuzzy Slope Mass Rating (FSMR) system. Applied Soft Computing, 11, 4465–4473.
[6]. Goshtasbi K., Ataei M. and Kalatehjary R. (2008). Slope modification of open pit wall using a genetic algorithm—case study: southern wall of the 6th Golbini Jajarm bauxite mine,. Journal of the South African Institute of Mining and Metallurgy (SAIMM), 108, 651-656.
[7]. Jing, L. (2003). A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering. International Journal of Rock Mechanics and Mining Sciences. 40 (3): 283–353. doi:10.1016/S1365-1609(03)00013-3
[8]. Hussain, S., Mohammad, N., Tahir, M., Ur Rehman, Z. and Mohammad, N. (2016). Rock mass characterization along the tunnel axis for Golen Gol hydropower project Chitral, Pakistan. Journal of Himalayan Earth Sciences. 49 (2): 75–83.
[9]. Hussain, Sajjad, Ur Rehman, Z., Mohammad, N., Tahir, M., Shahzada, K., Wali Khan, S. and Gul, A. (2018). Numerical Modeling for Engineering Analysis and Designing of Optimum Support Systems for Headrace Tunnel. Advances in Civil Engineering, 2018(1), 1–10. doi:10.1155/2018/7159873
[10]. Hussian, S., Mohammad, N., Ur Rehman, Z., Khan, N.M., Shahzada, K., Ali, S. and Sherin, S. (2020). Review of the geological strength index (GSI) as an empirical classification and rock mass property estimation tool: Origination, modifications, applications, and limitations. Advances in Civil Engineering, 2020. doi:10.1155/2020/6471837
[11]. Ur Rehman, Z., Mohammad, N., Hussain, S. and Tahir, M. (2019). Numerical modeling for the engineering analysis of rock mass behaviour due to sequential enlargement of Lowari tunnel Chitral Khyber Pakhtunkhwa, Pakistan. International Journal of Geotechnical Engineering. 13 (1): 1–7. doi:10.1080/19386362.2017.1319615
[12]. Gupta, V., Bhasin, R.K., Kaynia, A.M., Kumar, V. and Saini, A.S. (2015). Finite element analysis of failed slope by shear strength reduction technique : a case study for Surabhi Resort Landslide , Mussoorie township , Garhwal Himalaya. doi:10.1080/19475705.2015.1102778
[13]. Ataei M., Bodaghabadi S. (2008). Comprehensively analysis of slope stability and determination of stable slopes in Chador-malu iron mine using numerical and limit equilibrium methods. Journal of China University of Mining and Technology, 18, 488-493.
[14]. Chakraborti, S., Konietzky, H. and Walter, K. (2012). A Comparative Study of Different Approaches for Factor of Safety Calculations by Shear Strength Reduction Technique for Non-linear Hoek-Brown Failure Criterion. Geotechnical and Geological Engineering. 30 (4): 925–934. doi:10.1007/s10706-012-9517-2
[15]. Gupta, V., Bhasin, R.K., Kaynia, A.M., Kumar, V. and Saini, A.S. (2015). Finite element analysis of failed slope by shear strength reduction technique : a case study for Surabhi Resort Landslide , Mussoorie township , Garhwal Himalaya. doi:10.1080/19475705.2015.1102778
[16]. Hammah, R.E., Yacoub, T.E., Corkum, B.C. and Curran, J.H. (2005). The shear strength reduction method for the generalized Hoek-Brown criterion. American Rock Mechanics Association - 40th US Rock Mechanics Symposium, ALASKA ROCKS 2005: Rock Mechanics for Energy, Mineral and Infrastructure Development in the Northern Regions, (January).
[17]. You, G., Mandalawi, M.Al, Soliman, A., Dowling, K. and Dahlhaus, P. (2018). Finite Element Analysis of Rock Slope Stability Using Shear Strength Reduction Method. Sustainable Civil Infrastructures. 1 (2004): 227–235. doi:10.1007/978-3-319-61902-6_18
[18]. Adil, M., Raza, S. and Amin, I. (2020). Rock Fall Simulation Analysis at Km 37 of Swat Motorway Khyber Pukhtunkhwa Pakistan. 9 (10): 678–690.
[19]. Noroozi, A., Oraee, K., Javadi, M., Goshtasbi, K. and Khodadady, H. (2012). A model for determining the breaking characteristics of immediate roof in longwall mines. Yerbilimleri/ Earth Sciences. 33 (2): 193–203. doi:10.17824/huyuamd.11486
[20]. Hudson, J.A. and Feng, X. T. (2010). Technical auditing of rock mechanics modelling and rock engineering design. International Journal of Rock Mechanics and Mining Sciences. 47 (6): 877–886. doi:10.1016/j.ijrmms.2010.05.001
[21]. Goshtasbi, K.G. and Dehghan, S.F. (2001). Stability Analysis and Support Design of Glandroud Coal Mine Tunnel. 17 th Int. Mining Conf. and Exibition of Turkey, 2001.
[22]. Wu, D., Wang, Y., Qiu, Y., Zhang, J. and Wan, Y. (2019). Determination of Mohr-Coulomb Parameters from Nonlinear Strength Criteria for 3D Slopes. Mathematical Problems in Engineering, 2019. doi:10.1155/2019/6927654
[23]. Hoek, E. (1997). Support of Underground, 235.