Reliability analysis of earth dam using a new hybrid method-A case study

Document Type : Original Article

Authors

1 Department of Earth Sciences Engineering, Arak University of Technology, Arak, Iran.

2 Arak university of technology

3 Arak University of Technology

Abstract

Probabilistic slope stability analysis provides a tool for considering uncertainty of the soil parameters in design. In this paper, using Slide software, the Monte Carlo simulation is used as an analytical method to develop probabilistic models of slope stability based on equilibrium methods. The limit equilibrium methods are the most popular approaches in slope stability analysis. These methods are well known to be a statically indeterminate problem, and assumptions on the inter-slice shear forces are required to render the problem statically determinate. In modeling using this methodology, the selected stochastic parameters are internal friction angle, cohesion and unit weight of soil, which are modeled using a truncated normal probability density function (pdf). In this research, the abilities offered using models were presented by using field data obtained from Roudbar Lorestan dam in Iran. The results obtained show that the hybrid Monte Carlo simulation and equilibrium methods can be used successfully for slopes stability assessment.

Keywords

References

Alonso E.E., 1976, "Risk analysis of slopes and its application to slopes in Canadian sensitive clays", Geotechnique, 26: 453-472.
Bhattacharya G., Jana D., Ojha S., Chakraborty S., 2003, "Direct search for minimum reliability index of earth slopes", Computers and Geotechnics, 30: 455-462.
Cao Z., Wang Y., Li D. (2017) "Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet". In:  Probabilistic Approaches for Geotechnical Site Characterization and Slope Stability Analysis. Springer, pp 147-167
Cho S.E., 2013, "First-order reliability analysis of slope considering multiple failure modes", Engineering Geology, 154: 98-105.
Christian J.T., Ladd C.C., Baecher G.B., 1994, "Reliability applied to slope stability analysis", Journal of Geotechnical Engineering, 120: 2180-2207.
Dodagoudar G., Venkatachalam G., 2000, "Reliability analysis of slopes using fuzzy sets theory", Computers and Geotechnics, 27: 101-115.
Erzin Y., Cetin T., 2013, "The prediction of the critical factor of safety of homogeneous finite slopes using neural networks and multiple regressions", Computers & Geosciences, 51: 305-313.
Farah K., Ltifi M., Hassis H., 2011, "Reliability analysis of slope stability using stochastic finite element method", Procedia Engineering, 10: 1402-1407.
Giasi C., Masi P., Cherubini C., 2003, Probabilistic and fuzzy reliability analysis of a sample slope near Aliano, Engineering Geology, 67: 391-402.
Hammah R., Yacoub T., Curran J. "Probabilistic slope analysis with the finite element method". In: 43rd US Rock Mechanics Symposium & 4th US-Canada Rock Mechanics Symposium, 2009. American Rock Mechanics Association,
Hong H., Roh G., 2008, "Reliability evaluation of earth slopes", Journal of geotechnical and geoenvironmental engineering, 134: 1700-1705.
Jha S.K., 2015, "Effect of spatial variability of soil properties on slope reliability using random finite element and first order second moment methods", Indian Geotechnical Journal, 45: 145-155.
Johari A., Fazeli A., Javadi A., 2013, "An investigation into application of jointly distributed random variables method in reliability assessment of rock slope stability", Computers and Geotechnics, 47: 42-47.
Kacewicz M., 1987, "Fuzzy slope stability method", Mathematical Geology, 19: 757-767.
Li D.-Q., Jiang S.-H., Cao Z.-J., Zhou W., Zhou C.-B., Zhang L.-M., 2015, "A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties", Engineering Geology, 187: 60-72.
Li D.-Q., Xiao T., Cao Z.-J., Phoon K.-K., Zhou C.-B., 2016, Efficient and consistent reliability analysis of soil slope stability using both limit equilibrium analysis and finite element analysis, Applied Mathematical Modelling, 40: 5216-5229.
Li D., Chen Y., Lu W., Zhou C., 2011, "Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables", Computers and Geotechnics, 38: 58-68.
Liang L., Xue-song C., 2012, "The location of critical reliability slip surface in soil slope stability analysis", Procedia Earth and Planetary Science, 5: 146-149.
Low B., Lacasse S., Nadim F., 2007, "Slope reliability analysis accounting for spatial variation", Georisk, 1: 177-189.
Malkawi A.I.H., Hassan W.F., Abdulla F.A., 2000, "Uncertainty and reliability analysis applied to slope stability", Structural Safety, 22: 161-187.
Phoon K.-K. (2008) Reliability-based design in geotechnical engineering: computations and applications. CRC Press,
Radhi M.M., Pauzi N.M., Omar H. "Probabilistic approach of rock slope stability analysis using Monte Carlo simulation". In: International Conference in Construction and Building Technology, Malayzya, 2008.
Saboya Jr F., da Glória Alves M., Pinto W.D., 2006, "Assessment of failure susceptibility of soil slopes using fuzzy logic", Engineering Geology, 86: 211-224.
Scientific Quarterly Journal of Iranian Association of Engineering Geology
Volume 13, Issue 4
April 2021
Pages 95-110

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History

  • Receive Date: 02 April 2020
  • Revise Date: 28 July 2020
  • Accept Date: 23 August 2020

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