Abstract
Due to the spatial variability of material characterisations in deep and large scale excavations, stability assessment is often a challenging task. Numerous slope stability analysis methods based on a range of assumptions and principles are implemented in commercial software packages to ease the process of stability assessment of non-homogeneous and multi-layered slopes. However, the selection of a suitable method remains crucial as the application of an unrealistic or unsuitable method may lead to catastrophic consequences. Besides material shear strength parameters, and analysis methods, non-strength characterisations such as permeability and creep can affect the result of slope stability analysis significantly. In this study, the sensitivity of the stability assessment of a deep excavation in Australia to material characterisations such as friction angle, cohesion and permeability and creep is investigated by the use of different formulations and assumptions of the Limit Equilibrium Method (LEM) and the Finite Element Method (FEM) as the two most common slope stability methods. The results show that the stability assessment is highly sensitive to the applied method and assumptions. Moreover, the role of material strength and non-strength parameters and the selection of a suitable constitutive model in slope stability assessment is presented.
Similar content being viewed by others
Abbreviations
- LEM:
-
Limit Equilibrium Method
- FEM:
-
Finite Element Method
- FOSM:
-
First Order Second Moment
- LE:
-
Limit Equilibrium
- FoS:
-
Factor of Safety
- SSR:
-
Shear Strength Reduction
- SRF:
-
Strength Reduction Factor
- FE:
-
Finite Element
- bgl:
-
Below ground level
- SI:
-
Scenario 1
- SII:
-
Scenario 2
- SIII:
-
Scenario 3
- SIV:
-
Scenario 4
- LEMC:
-
Linear Elastic model combined with perfectly plastic Mohr–Coulomb failure criterion
- HS:
-
Hardening Soil
- SSC:
-
Soft Soil Creep
- NEPWP:
-
Negative Excess Pore-Water Pressure
- E :
-
Interslice normal force
- X:
-
Interslice shear force
- τ :
-
Shear strength
- c’ :
-
Effective cohesion
- ϕ’ :
-
Effective friction angle
- c* :
-
Reduced cohesion
- ϕ* :
-
Reduced internal friction angle
- E′:
-
Elastic modulus
- ν′:
-
Poisson’s ratio
- Eref50 :
-
Reference stiffness modulus related to the reference stress (here 100 kPa)
- Erefoed :
-
Tangent stiffness for primary oedometer loading
- Erefur :
-
Unloading/reloading stiffness
- K0 :
-
Earth pressure coefficient at rest
- λ*:
-
Modified compression index
- К*:
-
Modified swelling index
- μ*:
-
Modified creep index
References
Abramson LW, Lee TS, Sharma S, Boyce GM (2002) Slope stability and stabilization methods. Wiley, New York
Agheshlui H (2019) Stress influence on the permeability of a sample heterogeneous rock. Geomech Geophys Geo-Energy Geo-Resources 5(2):159–170
Aryal KP (2006) Slope stability evaluations by limit equilibrium and finite element methods. Ph.D., thesis, Norwegian University of Science and Technology, Norway
Brinkgreve R, Swolfs W, Engin E (2011) Plaxis 2D 2010. Plaxis BV, Delft
Chandler DS (1996) Monte Carlo simulation to evaluate slope stability. Uncertainty in the geologic environment: from theory to practice. ASCE, pp 474–493
Dawson E, Roth W, Drescher A (1999) Slope stability analysis by strength reduction. Geotechnique 49:835–840
Diederichs M, Kaiser P, Eberhardt E (2004) Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation. Int J Rock Mech Min Sci 41:785–812
Dight P, Baczynski N (2009) Rock bridges and their influence on slope stability. Slope Stabil 3:1777
Duzgun H, Bhasin R (2009) Probabilistic stability evaluation of Oppstadhornet rock slope, Norway. Rock Mech Rock Eng 42:729
Dyson AP, Tolooiyan A (2018) Optimisation of strength reduction finite element method codes for slope stability analysis. Innov Infrastruct Solut 3:1–12
Dyson AP, Tolooiyan A (2019a) Prediction and classification for finite element slope stability analysis by random field comparison. Comput Geotech 109:117–129
Dyson AP, Tolooiyan A (2019b) Probabilistic investigation of RFEM topologies for slope stability analysis. Comput Geotech 114:103129
Dyson AP, Tolooiyan A (2020) Comparative approaches to probabilistic finite element methods for slope stability analysis. Simul Model Pract Theory 100:102061
Eberhardt E (2003) Rock slope stability analysis-Utilization of advanced numerical techniques. In: Earth and Ocean sciences at UBC
El-Ramly H, Morgenstern N, Cruden D (2002) Probabilistic slope stability analysis for practice. Can Geotech J 39:665–683
EnergyAustralia (2019) https://www.energyaustralia.com.au/about-us/energy-generation/yallourn-power-station
Fredlund D, Krahn J (1977) Comparison of slope stability methods of analysis. Can Geotech J 14:429–439
Ghadrdan M, Shaghaghi T, Tolooiyan A (2019) The effect of negative excess pore-water pressure on the stability of excavated slopes. Géotechnique Lett 5:1–35
Ghadrdan M, Dyson AP, Shaghaghi T, Tolooiyan A (2020) Slope stability analysis using deterministic and probabilistic approaches for poorly defined stratigraphies. Comput Geotech 1:946
Government V (2008) Mining warden Yallourn mine batter failure inquiry: government response. Melbourne
Griffiths D, Fenton GA (2000) Influence of soil strength spatial variability on the stability of an undrained clay slope by finite elements. Slope Stabil
Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron Eng 130:507–518
Griffiths D, Lane P (1999) Slope stability analysis by finite elements. Geotechnique 49:387–403
Griffiths D, Marquez RJG (2007) Three-dimensional slope stability analysis by elasto-plastic finite elements. Science 57:537–546
Hammah R, Yacoub T, Corkum B, Curran J (2010) A comparison of finite element slope stability analysis with conventional limit-equilibrium investigation
Harr E (1987) Reliability based design in civil engineering. McGraw-Hill, London
Hassan AM, Wolff TF (1999) Search algorithm for minimum reliability index of earth slopes. J Geotech Geoenviron Eng 125:301–308
Herrero C (2015) Quantifying the effect of in situ stresses and pit depth on slope stability by incorporating brittle fracturing in numerical model analyses. Colorado School of Mines
Hicks M, Chen J, Spencer W (2008) Influence of spatial variability on 3D slope failures. In: CA Brebbia, E Beriatos (eds) Proceedings of 6th international conference on computer simulation in risk analysis and hazard mitigation. Thessaly, Greece, pp 335–342
Hoek E, Read J, Karzulovic A, Chen ZY(2000) Rock slopes in civil and mining engineering. In: ISRM international symposium. International society for rock mechanics
Huang M, Jia C-Q (2009) Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage. Comput Geotech 36:93–101
Hutton AC (2009) Geological setting of Australasian coal deposits
Khandelwal M, Rai R, Shrivastva BK (2015) Evaluation of dump slope stability of a coal mine using artificial neural network. Geomech Geophys Geo-Energy Geo-Resources 1(3–4):69–77
Krahn J (2003) The 2001 RM Hardy Lecture: the limits of limit equilibrium analyses. Can Geotech J 40:643–660
Krahn J (2004) Stability modeling with SLOPE/W: an engineering methodology. GEOSLOPE/W International Ltd., Calgary
Liu S, Shao L, Li H (2015) Slope stability analysis using the limit equilibrium method and two finite element methods. Comput Geotech 63:291–298
Matsui T, San K-C (1992) Finite element slope stability analysis by shear strength reduction technique. Soils Found 32:59–70
Miller SM, Whyatt JK, Mchugh EL (2004) Applications of the point estimation method for stochastic rock slope engineering. Gulf Rocks 2004. In: The 6th North America rock mechanics symposium (NARMS), 2004. American Rock Mechanics Association
Navarro V, Yustres A, Candel M, López J, Castillo EJC (2010) Sensitivity analysis applied to slope stabilization at failure. Geotechnics 37:837–845
Newcomb S, Pilkington T, Raisbeck D (1988) Stability and earth movements on the western batters of Yallourn open cut mine. In: Fifth Australia-New Zealand conference on geomechanics: prediction versus performance; Preprints of Papers, 1988. Institution of Engineers, Australia, p 387
Nguyen V, Chowdhury R (1984) Probabilistic study of spoil pile stability in strip coal mines—two techniques compared. In: International journal of rock mechanics and mining sciences and geomechanics abstracts. Elsevier, pp 303–312
Nguyen MC, Zhang X, Wei N, Li J, Li X, Zhang Y, Stauffer PH (2017) An object-based modeling and sensitivity analysis study in support of CO2 storage in deep saline aquifers at the Shenhua site, Ordos Basin. Geomech Geophys Geo-Energy Geo-Resources 3(3):293–314
Park H, West T (2001) Development of a probabilistic approach for rock wedge failure. Eng Geol 59:233–251
Plaxis (2016) Plaxis 2D Delft, Netherlands
Potts D, Kovacevic N, Vaughan P (2009) Delayed collapse of cut slopes in stiff clay. In: Selected papers on geotechnical engineering by PR Vaughan. Thomas Telford Publishing
Rabe C, Perdomo PRR, Roux PF, Silva CG, Gamboa LAP (2020) Coupled fluid flow and geomechanics: a case study in Faja del Orinoco. Geomech Geophys Geo-Energy Geo-Resources 6(1):1–23
Raghuvanshi TK (2017) Plane failure in rock slopes–a review on stability analysis techniques. J King Saud Univ Sci
Read J (2010) The large open pit project. In: ISRM international symposium-6th Asian rock mechanics symposium, 2010. International Society for Rock Mechanics
Rezaeineshat A, Monjezi M, Mehrdanesh A, Khandelwal M (2020) Optimization of blasting design in open pit limestone mines with the aim of reducing ground vibration using robust techniques
Robotham M (2011) Slope design in large open pit mines. In: Slope Stability 2011: international symposium on rock slope stability in open pit mining and civil engineering, Vancouver, Canada
Rocscience (2019) Rocscience Inc [Online]. https://www.rocscience.com/
Rocsience I (2002) Application of the finite element method to slope stability. Toronto
Rongved M, Holt RM, Larsen I (2019) The effect of heterogeneity on multiple fracture interaction and on the effect of a non-uniform perforation cluster distribution. Geomech Geophys Geo-Energy Geo-Resources 5:1–18
Rosenblueth E (1975) Point estimates for probability moments. Proc Natl Acad Sci 72:3812–3814
Scott B, Ranjith P, Choi S-K, Khandelwal M (2010) A review on existing opencast coal mining methods within Australia. J Min Sci 46:280–297
Shaghagh T, Ghadrdan M, Tolooiyan A (2020a) Effect of rock mass permeability and rock fracture leak-off coefficient on the pore water pressure distribution in a fractured slope. Simul Model Pract Theory 105:102167
Shaghagh T, Ghadrdan M, Tolooiyan A (2020b) Design and optimisation of drainage systems for fractured slopes using the XFEM and FEM. Simul Modell Pract Theory 3:102110
Sjoberg J (1999) Analysis of failure mechanisms in high rock slopes. In: 9th ISRM congress, International society for rock mechanics and rock engineering
Sjöberg J (1999) Analysis of large scale rock slopes. Luleå tekniska universitet
Soliman A, Wood B, Hibberd D (2007) Victoria Flac modelling: Morwell River diversion channel-southern batters buffer width. Aust Geomech 42:593
Taheri A, Royle A, Yang Z, Zhao Y (2016) Study on variations of peak strength of a sandstone during cyclic loading. Geomech Geophys Geo-Energy Geo-Resources 2(1):1–10
Tjie-Liong GOUW (2014) Common mistakes on the application of Plaxis 2D in analyzing excavation problems. Int J Appl Eng Res 9(21):8291–8311
Tolooiyan A, Abustan I, Selamat M, Ghaffari S (2009) A comprehensive method for analyzing the effect of geotextile layers on embankment stability. Geotext Geomembr 27:399–405
Tolooiyan A, Dyson AP, Karami M, Shaghaghi T, Ghadrdan M (2019) Application of ground penetrating radar (GPR) to detect joints in organic soft rock. Geotech Test J 42(2):257–274
Torres CC, Fosnacht D, Hudak G (2017) Geomechanical analysis of the stability conditions of shallow cavities for compressed air energy storage (CAES) applications. Geomech Geophys Geo-Energy Geo-Resources 3(2):131–174
Ugai K, Leshchinsky D (1995) Three-dimensional limit equilibrium and finite element analyses: a comparison of results. Soils Found 35:1–7
Vekli M, Aytekin M, Ikizler SB, Çalik Ü (2012) Experimental and numerical investigation of slope stabilization by stone columns. Nat Hazards 64:797–820
Vermeer PA, Neher HP (1999) A soft soil model that accounts for creep. In: Beyond 2000 in computational geotechnics, pp 249–261
Victoria SECO (1949) Three decades: the story of the state electricity commission of Victoria from its inception to December 1948, Hutchinson
Wang S, Ahmed Z, Hashemi MZ, Pengyu W (2019) Cliff face rock slope stability analysis based on unmanned arial vehicle (UAV) photogrammetry. Geomech Geophys Geo-Energy Geo-Resources 5(4):333–344
Wang P, Wang S, Zhu C, Zhang Z (2020) Classification and extent determination of rock slope using deep learning. Geomech Geophys Geo-Energy Geo-Resources 6(1):1–12
Wolff TF (1996) Probabilistic slope stability in theory and practice. In: Uncertainty in the geologic environment: from theory to practice, ASCE, pp 419–433
Yang SQ, Yang J, Xu P (2020) Analysis on pre-peak deformation and energy dissipation characteristics of sandstone under triaxial cyclic loading. Geomech Geophys Geo-Energy Geo-Resources 6(1):24
Zhao L, You G (2018) Stability study on the northern batter of MBC open pit using plaxis 3D. Arab J Geosci 11:119
Zhigang T, Chun Z, Manchao H, Kuiming L (2020) Research on the safe mining depth of anti-dip bedding slope in Changshanhao Mine. Geomech Geophys Geo-Energy Geo-Resources 6(2):1–20
Acknowledgements
Financial support for this research has been provided by Earth Resources Regulation of the Victorian State Government Department of Economic Development, Jobs, Transport and Resources. The first and second authors are funded by the Australian Government Research Training Program (RTP) and the GHERG scholarship programme. The authors also wish to thank Mr Mojtaba Karami for providing the results of geotechnical laboratory tests on coal and non-coal samples.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ghadrdan, M., Shaghaghi, T. & Tolooiyan, A. Sensitivity of the stability assessment of a deep excavation to the material characterisations and analysis methods. Geomech. Geophys. Geo-energ. Geo-resour. 6, 59 (2020). https://doi.org/10.1007/s40948-020-00186-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40948-020-00186-6