Skip to main content
Log in

Evaluation of the Instability Risk of the Dam Slopes Simulated with Monte Carlo method (Case Study: Alborz Dam)

  • Original Paper
  • Published:
Geotechnical and Geological Engineering Aims and scope Submit manuscript

Abstract

Embankment dams are one of the most important geotechnical structures that their failures can lead to disastrous damages. One of the main causes of dam failure is its slope instability. Slope Stability analysis has traditionally been performed using the deterministic approaches. These approaches show the safety of slope only with factor of safety that this factor cannot take into account the uncertainty in soil parameters. Hence, to investigate the impact of uncertainties in soil parameters on slope stability, probabilistic analysis by Monte Carlo Simulation (MCS) method was used in this research. MCS method is a computational algorithm that uses random sampling to compute the results. This method studies the probability of slope failure using the distribution function of soil parameters. Stability analysis of upstream and downstream slopes of Alborz dam in all different design modes was done in both static and quasi-static condition. Probability of failure and reliability index were investigated for critical failure surfaces. Based on the reliability index obtained in different conditions, it can be said that the downstream and upstream slope of the Alborz dam is stable. The results show that although the factor of safety for upstream slope in the state of earthquake loading was enough, but the results derived from probabilistic analysis indicate that the factor of safety is not adequate. Also the upstream slope of the Alborz dam is unstable under high and uncontrolled explosions conditions in steady seepage from different levels under quasi-static terms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Abramson LW (2002) Slope stability and stabilization methods. Wiley: London, p 688

  • Alonso EE (1976) Risk analysis of slopes and its application to slopes in canadian sensitive clays. Geotechnique 26(3):453–472

    Article  Google Scholar 

  • Bowles D, Ruthford M, Anderson L (2011) Risk assessment of success dam, California: evaluation of operating restrictions as an interim measure to mitigate earthquake risk. In: Geo-Risk 2011: risk assessment and management, pp 586–599

  • Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. J Geotech Eng ASCE 120(12):2180–2207

    Article  Google Scholar 

  • Duncan JM (1996) State of the art: limit equilibrium and finite-element analysis of slopes. J Geotech Eng ASCE 122(7):577–596

    Article  Google Scholar 

  • El-Ramly H (2001) Probabilistic analyses of landslide hazards and risks: bridging theory and practice, p 782

  • El-Ramly H, Morgenstern NR, Cruden DM (2002) Probabilistic slope stability analysis for practice. Can Geotech J 39(3):665–683

    Article  Google Scholar 

  • Foster M, Fell R, Spannagle M (2000) The statistics of embankment dam failures and accidents. Can Geotech J 37(5):1000–1024

    Article  Google Scholar 

  • Geo Slope International, Ltd (2008) Stability modeling with SLOPE.W 2007 Version, Third Edition, p 252

  • Jiang S-H, Li D-Q, Cao Z-J, Zhou C-B, Phoon K-K (2014) Efficient system reliability analysis of slope stability in spatially variable soils using monte carlo simulation. J Geotech Geoenviron Eng 141(2):40–52

    Google Scholar 

  • Krahn J (2004) Stability modeling with SLOPE/W: an engineering methodology. 1th Edit. Canada, p 246

  • Ladd CC (1983) Geotechnical exploration in clay deposits with emphasis on recent advances in laboratory and in situ testing and analysis of data scatter. J Civ Hydraul Eng Taiwan 10(3):3–35

    Google Scholar 

  • Mazandaran Province Regional Water Company (1998a) Alborz dam design: second stage studies, attachment no. 6: Technical report of foundation and body of dam”. Report No.1871063-3170-3233

  • Mazandaran Province Regional Water Company (1998b) Alborz dam design: second stage studies, attachment no. 19: Area seismic report. Report No.1871063–3170–3208

  • Molak V (1997) Fundamentals of risk analysis and risk management. Molak V, editor. Boca Raton, FL, USA: Lewis Publishers

  • Mostyn GR, Li KS (1993) Probabilistic slope analysis state of play. In: Proceedings, conference on probabilistic methods in geotechnical engineering, Canberra, Australia, AA Balkema, Rotterdam, pp 89–110

  • Peterson JL (1999) Probability analysis of slope stability. West Virginia University

  • U.S. Army Corps of Engineers (2006) Reliability analysis and risk assessment for seepage and slope stability failure modes for embankment dams. Eng Tech Lett No. 1110-2, vol 561

  • Vick SG, Bromwell LG (1989) Risk analysis for dam design in Karst. J Geotech Eng 115(6):819–835

    Article  Google Scholar 

  • Wang Y, Cao Z, Au S-K (2010) Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet. Can Geotech J 48(1):162–172

    Article  Google Scholar 

  • Whitman RV (1984) Evaluating calculated risk in geotechnical engineering. J Geotech Eng ASCE, 110(2): 143–188

  • Wolff TF (1996) Probabilistic slope stability in theory and practice. In: Uncertainty in the geologic environment: from theory to practice, pp 419–433

  • Zio E (2013) The Monte Carlo simulation method for system reliability and risk analysis. Springer, Berlin, p 196

Download references

Acknowledgements

Funding was provided by Babol Noshirvani University of Technology.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abbas Alitabar.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alitabar, A., Noorzad, R. & Qolinia, A. Evaluation of the Instability Risk of the Dam Slopes Simulated with Monte Carlo method (Case Study: Alborz Dam). Geotech Geol Eng 39, 4237–4251 (2021). https://doi.org/10.1007/s10706-021-01755-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10706-021-01755-6

Keywords

Navigation