Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams

Document Type : Civil Article

Authors

1 PhD graduate, Factuly of Civil Engineering, University of Tabriz,Tabriz, Iran.

2 Factuly of Civil Engineering, University of Tabriz, Tabriz, Iran.

Abstract

In the analysis of saturated and semi-saturated soil media, the use of the finite element method results in more realistic analyses than deterministic methods due to the random nature of porous media properties. The purpose of this research is to investigate the impact of uncertainty in the prediction of seepage flow through earth dams using the Fuzzy Monte Carlo Simulation (FMCS) new hybrid algorithm, which is implemented with the help of the finite element method and monte carlo simulation. In this study, a computer program was used for Finite Element Analysis (FEA), which was definitively checked after validation with experimental results. Monte Carlo iteration loops were then used for probabilistic mode. The Fuzzy Finite Element Method (FFEM) was executed assuming the probability of the soil for four variables: soil permeability (Kx/Ky), water height ratio (Hd/Hu), horizontal width of downstream slope ratio to base width (Bd/B), and horizontal width of downstream slope ratio to horizontal upstream width (Bd/Bu). The results of this research show that the fuzzy membership function is linear-symmetric for Kx/Ky variables and linear-asymmetric for two geometric variables, Bd/B and Bd/Bu. Additionally, the membership function was extracted for Hd/Hu
.

Keywords

Main Subjects

References

[1] H. Shariatmadar, and A. Mirhaj. "Modeling of Intake Tower-Reservoir-Foundation Interaction Subjected to Earthquake." Journal of Modeling in Engineering 7, no. 17 (2009): 67-80.  (In Persian)
[2] Z. Khozani, K. Hosseiny, and M. Rahimian. "System Dynamic Modeling of Multipurpose Reservoir Operation to Estimate the Optimal Height of the Dam." Journal of Modeling in Engineering 8, no. 21 (2010): 57-65. (In Persian).
[3] K. Akhavan, N. Abbassi, M. Kheiry Ghoujeh Biglou, and H. Ahmadpari. "Investigation on Conveyance Efficiency and Operation Issues of Precast Concrete Channels (Canalette) in Moghan Irrigation Network." Irrigation and Drainage Structures Engineering Research 22, no. 83 (2021): 21-42. (In Persian).
[4] K. Giglou, A. Milad Kheiry Ghoujeh Biglou, B. Mehrparvar, and A. Shokat Naghadeh. "Investigating Amount of Leakage, Sediment and Durability in Geosynthetic Cover of Pumping Channel 3 at Irrigation Network of Moghan." Revista Geoaraguaia 9, no. 2 (2019).
[5] H. SalimiRad, A. Dehvari, H. Galavi, and M. Ebrahiman. "Parameter Identification and Uncertainty Analysis of SWAT in Kardeh Streamflow Simulation." Iran-Water Resources Research 16, no. 3 (2020): 212-221. (In Persian).
[6] A. Salmanmahiny. "Application of Sensitivity Analysis and Error Propagation in Spatial Multi- Criteria Decision Making (Case Study: Urban Suitability Assessment for Tehran Province)." Environmental Researches 7, no. 14 (2017): 203-214.
[7] M. Dehghan, M. Dehghan. and A.R. Davari. "A New Approach for Uncertainty Analysis of the Numerical Data Using Genetic Algorithm Based on Grid Refinement." Amirkabir Journal of Mechanical Engineering 51, no. 6 (2020): 1381-1394. (In Persian).
[8] H. Koohsari, A. Najafi, H. Alielahi, and M. Adampira. "Evaluation of Influential Factors on the Dynamic Compaction Operation of Granular Soils Based on Fuzzy Method." Journal of Modeling in Engineering 13, no. 43 (2015): 143-158. (In Persian).
[9] A. Talebi, and E. Zahedi. "Select Suitable Areas for Underground Dam Using the Theory of Fuzzy Logic And Analytical Hierarchy Process (Case Study: Watershed Doroongar, Dargaz)." Journal of Water and Soil Science 9, no. 30 (2015): 41-50. (In Persian).
[10] A. Mouyeaux, C. Carvajal, P. Bressolette, L. Peyras, P. Breul, and C. Bacconnet. "Probabilistic stability analysis of an earth dam by Stochastic Finite Element Method based on field data." Computers and Geotechnics 101 (2018): 34-47.
[11] K. Liu, P.J. Vardon, and M.A. Hicks. "Probabilistic Analysis of Seepage for Internal Stability of Earth Embankments." Environmental Geotechnics 6, no. 5 (2018): 294-306.
[12] N.M. Al-Nedawi, and M. Al-Hadidi. "Finite Element Analysis of Seepage for Hemrin Earth Dam Using Geo-Studio Software." Diyala Journal of Engineering Sciences (2020): 66-76.
[13] A.S. Ahmed, A. Revil, A. Bolève, B. Steck, C. Vergniault, J.R. Courivaud, D. Jougnot, and M. Abbas. "Determination of the permeability of seepage flow paths in dams from self-potential measurements." Engineering Geology 268 (2020): 105514.
[14] F. Hosseinejad, and F. Kalateh. "Using Fuzzy FEM in Dynamic Coupled Analysis of Saturated Porous Media." MCEJ 17, no. 5 (2017): 193-206. (In Persian).
[15] F. Hosseinejad, and F. Kalateh. "Fuzzy Form of Coupled Analysis of Porous Media with Non Linear Pore Fluid Flow Subjected to Dynamic Loading Using Finite Element Method." PhD dissertation, University of Tabriz, Iran, 2019 (In Persian).
[16] Y. Fukumoto, H. Yang, T. Hosoyamada, and S. Ohtsuka. "2-D Coupled Fluid-Particle Numerical Analysis of Seepage Failure of Saturated Granular Soils around an Embedded Sheet Pile with No Macroscopic Assumptions." Computers and Geotechnics 136 (2021): 104234.
[17] A. Johari, A. Heydari. and A. Talebi. "Prediction of Discharge Flow Rate beneath Sheet Piles Using Scaled Boundary Finite Element Modeling Database." Scientia Iranica 28, no. 2 (2021): 645-655.
[18] B. Beiranvand, and T. Rajaee. "Application of Artificial Intelligence-Based Single and Hybrid Models in Predicting Seepage and Pore Water Pressure of Dams: A State-of-the-Art Review." Advances in Engineering Software 173 (2022): 103268.
[19] F. Kalateh, and M. Kheiry. "A Review of Stochastic Analysis of the Seepage Through Earth Dams with a Focus on the Application of Monte Carlo Simulation." Archives of Computational Methods in Engineering 31 (2024): 47–72.
[20] W. Feng, S. Chi, and Y. Jia. "Random Finite Element Analysis of a Clay-Core-Wall Rockfill Dam Considering Three-Dimensional Conditional Random Fields of Soil Parameters." Computers and Geotechnics 159 (2023): 105437.
[21] K. Shirago, D. Dirate. and D. Kasahun. "Analysis of Overall Reliability of Embankment Dam for Steady-State Seepage." Geotechnical and Geological Engineering 41 (2023): 1703–1713.
[22] I.M. Smith, D.V. Griffiths. and L. Margetts. Programming the finite element method. John Wiley & Sons, 2004.
[23] V.R. Rao, and R. Reddy. "Analysis of a Cable-Stayed Bridge with Uncertainties in Young's Modulus and Load-A Fuzzy Finite Element Approach." Structural Engineering and Mechanics 27, no. 3 (2007): 263-276.
[24] F. Kalateh, F. Hosseinejad. and M. Kheiry. "Uncertainty Quantification in the Analysis of Liquefied Soil Response through Fuzzy Finite Element Method." Acta Geodynamica et Geomaterialia 19, no. 3 (2022).
[25] G. Fishman, M. Carlo. Concepts, Algorithms, and Applications. Springer Science & Business Media, 1996.
[26] A. Kouhpeyma, F. Kilanehei, M. Hassanlourad, and R. Ziaie-Moayed. "Numerical and Experimental Modelling of Seepage in Homogeneous Earth Dam with Combined Drain." ISH Journal of Hydraulic Engineering (2021): 1-11.
[27] M. Vafaeian. Earth Dams and Rockfill Dams. Arkane Danesh Publication, 2015 (In Persian).
 
Journal of Modeling in Engineering
Volume 22, Issue 76
May 2024
Pages 99-114

Files

History

  • Receive Date: 16 December 2022
  • Revise Date: 31 July 2023
  • Accept Date: 10 September 2023

Share

How to cite

Statistics