Sensitivity analysis for uncertainty quantification in earth dams modeling (Case study: Maku dam)

Document Type : Research Paper

Authors

1 Water & Hydraulic Structures Engineering, Department of Civil Engineering, Faculty of Eng., Urmia University, Urmia, Iran.

2 Civil Engineering Hydraulics & Hydraulic Structures, Department of Civil Engineering, Faculty of Engineering, Urmia University, Iran.

3 Department of Civil Engineering, Yaşar University, Izmir, Turkey.

10.22059/jwim.2023.360452.1084

Abstract

Due to the existence of various uncertainties in the materials and modeling of these structures, the quantification of these uncertainties requires sensitivity analysis and reducing the number of variable parameters to reduce cost and time in modeling. In this research, numerical analysis of Maku dam located in West Azerbaijan province which is considered as a case study is performed using FLAC2D software and the static response is obtained. The effect of construction layers and the amount and shape of contours of stress and displacement were compared and validated with previous researches. The 49 random variables (RVs) (of materials properties in the zones of the core, shell, filter, drainage, alluvium and bedrock) was considered. By performing sensitivity analysis and using the Tornado diagram, the number of variable parameters is reduced and 18 important RVs were identified for the modeling and analysis of the earth dam. The results showed that altering the dry density (γd) of the shell causes a change of about 8% and altering the Poisson's ratio (ν) and also the modulus of elasticity (E) of the core leads to a change of about 7% in earth dams’ response. Finally, parameters of dry density (γd), Poisson's ratio (ν), modulus of elasticity (E) and internal friction angle (ϕ) were identified as more sensitive parameters that have the greatest impact on the response of earth dams.

Keywords

Main Subjects

References

  1. Abbaszadeh, H., Norouzi, R., Sume, V., Kuriqi, A., Daneshfaraz, R., & Abraham, J. (2023). Sill Role Effect on the Flow Characteristics (Experimental and Regression Model Analytical). Fluids, 8(8), 235. https://doi.org/10.3390/fluids8080235
  2. Adami, R., Daneshfaraz, R., Sadeghfam, S., & Djahanghiri, M. (2022). Application of Radial Base Function Method to Investigate Seepage under the Dam in Steady and Unsteady Flow Conditions. Journal of Structural and Construction Engineering. https://doi.org/10.22065/jsce.2022.346671.2844
  3. Ahbab, A., Akhlaghi, T., Safari, M. J. S., & Avci, E. (2021). Evaluation of the static and pseudo-static stability and effectiveness of an improvement technique for slopes of the Vanyar Dam reservoir. KSCE Journal of Civil Engineering, 25(2), 468-481. https://doi.org/10.1007/s12205-020-0780-0
  4. Babu, G. S., & Srivastava, A. (2007). Reliability analysis of allowable pressure on shallow foundation using response surface method. Computers and Geotechnics, 34(3), 187-194. https://doi.org/10.1016/j.compgeo.2006.11.002
  5. Baecher, G. B., & Christian, J. T. (2005). Reliability and statistics in geotechnical engineering. John Wiley & Sons. https://www.researchgate.net/profile/Gregory-Baecher/publication/247385445_Reliability_and_Statistics_in_Geotechnical_Engineering/links/603bef4292851c4ed5a4e861/Reliability-and-Statistics-in-Geotechnical-Engineering.pdf
  6. Binici, B., & Mosalam, K. M. (2007). Analysis of reinforced concrete columns retrofitted with fiber reinforced polymer lamina. Composites Part B: Engineering, 38(2), 265-276. https://doi.org/10.1016/j.compositesb.2006.01.006
  7. Boroomand, M. R., & Mohammadi, A. (2019). Evaluation of earth dam leakage considering the uncertainty in soil hydraulic parameters. Civil Engineering Journal, 5(7), 1543-1556. https://doi.org/10.28991/cej-2019-03091351
  8. Bagherzadeh, M., Mousavi, F., Manafpour, M., Mirzaee, R., & Hoseini, K. (2022). Numerical simulation and application of soft computing in estimating vertical drop energy dissipation with horizontal serrated edge. Water Supply, 22(4), 4676-4689. https://doi.org/10.2166/ws.2022.127
  9. Cundall, P. (1976). Explicit finite differnce method in geomechanics. Second Int. Conf. Numerical Methods in Geomechanics, Blacksburg, 1976.
  10. Daneshfaraz, R., Norouzi, R., Patrick Abraham, J., Ebadzadeh, P., Akhondi, B., & Abar, M. (2023). Determination of flow characteristics over sharp-crested triangular plan form weirs using numerical simulation. Water Science, 37(1), 211-224. https://doi.org/10.1080/23570008.2023.2236384
  11. Der Kiureghian, A., & Ditlevsen, O. (2009). Aleatory or epistemic? Does it matter? Structural Safety, 31(2), 105-112. https://doi.org/10.1016/j.strusafe.2008.06.020
  12. Ditlevsen, O., & Madsen, H. O. (1996). Structural reliability methods (Vol. 178). Wiley New York. https://chodor-projekt.net/wp-content/uploads/BiNSK/Literatura/Dilevsen,Madsen,%20Structural% 20Reliability%20Methods%20(2007).pdf
  13. Duncan, J. M., & Chang, C.-Y. (1970). Nonlinear analysis of stress and strain in soils. Journal of the soil mechanics and foundations division, 96(5), 1629-1653. https://cedb.asce.org/CEDBsearch/record.jsp?dockey=0017188
  14. Guo, X. (2020). Probabilistic stability analysis of an earth dam using field data Université Grenoble Alpes]. https://www.theses.fr/2020GRALI017
  15. Guo, X., & Dias, D. (2020). Kriging based reliability and sensitivity analysis-Application to the stability of an earth dam. Computers and Geotechnics, 120, 103411. https://doi.org/10.1016/j.compgeo.2019.103411
  16. Hariri-Ardebili, M. A. (2018). Risk, Reliability, Resilience (R3) and beyond in dam engineering: A state-of-the-art review. International journal of disaster risk reduction, 31, 806-831. https://doi.org/10.1016/j.ijdrr.2018.07.024
  17. Hariri-Ardebili, M. A., & Salazar, F. (2020). Engaging Soft Computing in Material and Modeling Uncertainty Quantification of Dam Engineering Problems. Soft Computing, 111, 111-111. https://doi.org/10.1007/s00500-019-04623-x
  18. Hariri-Ardebili, M. A., & Sattar, S. (2023). Sensitivity Analysis of Reinforced Concrete Structures.
  19. Harr, M. E. (1991). Groundwater and seepage. Courier Corporation.
  20. (2019). Fast Lagrangian analysis of continua [FLAC], Version 8.1. Itasca Consulting Group Inc., Minneapolis, Minn. Retrieved from http://www.itascacg.com/
  21. Jafari, F., & Salmasi, F. (2014). Effect of embankment soil layers on stress-strain characteristics. Iranica Journal of Energy & Environment, 5(4), 369-375. https://doi.org/10.5829/idosi.ijee.2014.05.04.04
  22. Kahot, Z., Dkiouak, R., & Khamlichi, A. (2019). Reliability analysis of slope stability in earthen dams following rapid drawdown. International Review of Applied Sciences and Engineering, 10(1), 101-112. http://doi.org/10.1556/1848.2018.0011
  23. King, L. M., & Simonovic, S. P. (2020). A deterministic Monte Carlo simulation framework for dam safety flow control assessment. Water, 12(2), 505. https://doi.org/10.3390/w12020505
  24. Kutzner, C. (2018). Earth and rockfill dams: principles of design and construction. Routledge. https://doi.org/10.1201/9780203758991
  25. Liu, X. (2019). Reliability–based analysis of embankment dams http://kth.diva-portal.org/smash/get/diva2:1349056/FULLTEXT01.pdf
  26. Look, B. G. (2007). Handbook of geotechnical investigation and design tables. Taylor & Francis. https://doi.org/10.1201/9780203946602
  27. McKay, M. D., Beckman, R. J., & Conover, W. J. (2000). A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics, 42(1), 55-61. https://doi.org/10.1080/00401706.2000.10485979
  28. Melchers, R. E., & Beck, A. T. (2018). Structural reliability analysis and prediction. https://www.wiley.com/en-br/Structural+Reliability+Analysis+and+Prediction,+3rd+Edition-p-9781119265993
  29. Mohammadi, M., Nabati, M., & Noury, M. (2010). Maku dam monitoring by comparison of results of instrumentantion and computer software. Journal of Food, Agriculture & Environment, 8(3&4), 1010-1015. https://www.researchgate.net/publication/282809006_Maku_dam_monitoring_by_comparison_of_results_of_instrumentation_computer_software
  30. Moran, E. F., Lopez, M. C., Moore, N., Müller, N., & Hyndman, D. W. (2018). Sustainable hydropower in the 21st century. Proceedings of the National Academy of Sciences, 115(47), 11891-11898. https://doi.org/10.1073/pnas.1809426115
  31. Mouyeaux, A., Carvajal, C., Bressolette, P., Peyras, L., Breul, P., & Bacconnet, C. (2018). Probabilistic stability analysis of an earth dam by Stochastic Finite Element Method based on field data. Computers and Geotechnics, 101, 34-47. https://doi.org/10.1016/j.compgeo.2018.04.017
  32. Mouyeaux, A., Carvajal, C., Bressolette, P., Peyras, L., Breul, P., & Bacconnet, C. (2019). Probabilistic analysis of pore water pressures of an earth dam using a random finite element approach based on field data. Engineering Geology, 259, 105190. https://doi.org/10.1016/j.enggeo.2019.105190
  33. Nayebzadeh, R., & Mohammadi, M. (2011). The effect of impervious clay core shape on the stability of embankment dams. Geotechnical and Geological Engineering, 29(4), 627-635. https://doi.org/10.1007/s10706-011-9395-z
  34. Neilsen, M. L., & Cao, C. (2019). Sensitivity analysis of internal erosion models for dam safety. 2019 International Conference on Computational Science and Computational Intelligence (CSCI), Las Vegas, NV, USA.
  35. Phoon, K.-K., & Kulhawy, F. H. (1999). Characterization of geotechnical variability. Canadian Geotechnical Journal, 36(4), 612-624. https://doi.org/10.1139/t99-038
  36. Pouraminian, M., Pourbakhshian, S., & Farsangi, E. N. (2020). Reliability assessment and sensitivity analysis of concrete gravity dams by considering uncertainty in reservoir water levels and dam body materials. Civil and Environmental Engineering Reports, 30(1), 1-17. https://doi.org/10.2478/ceer-2020-0001
  37. Rashidi, M., & Haeri, S. M. (2017). Evaluation of behaviors of earth and rockfill dams during construction and initial impounding using instrumentation data and numerical modeling. Journal of Rock Mechanics and Geotechnical Engineering, 9(4), 709-725. https://doi.org/10.1016/j.jrmge.2016.12.003
  38. Shahkarami, N., & Aalimohammadi Piranshahi, S. (2021). The effect of increasing the reservoir capacity on the static stability of an earth dam (Case study: Kamal-Saleh earth dam). Water and Irrigation Management, 11(3), 633-642. (In Persian). https://doi.org/10.22059/jwim.2021.329962.915
  39. Shahkarami, N., & Bayat, M. (2022). Numerical analysis of static behavior of embankment dam under changes in the core inclination (Case Study: Azad Dam). Water and Irrigation Management, 12(3), 527-539. (In Persian). https://doi.org/10.22059/jwim.2022.339386.971
  40. Shahzadi, G., & Soulaïmani, A. (2021). Deep neural network and polynomial chaos expansion-based surrogate models for sensitivity and uncertainty propagation: An application to a rockfill dam. Water, 13(13), 1830. https://doi.org/10.3390/w13131830
  41. Shakouri, B., & Mohammadi, M. (2020). Evaluation of Penetration Depth for Cutoff Walls in the Core of Earth Dams. Geotechnical and Geological Engineering, 38(1), 151-167. https://doi.org/10.1007/s10706-019-01004-x
  42. Shakouri, B., & Mohammadi, M. (2021). On the Effect of Clay Core Shape on Dynamic Response of Embankment Dams. 5th Asia-Pacific Group - International Symposium on Water and Dams, New Delhi, India.
  43. Shakouri, B., Mohammadi, M., Safari, M. J. S., & Hariri-Ardebili, M. A. (2022). First Impoundment Response Analysis of an Earth Dam using Coupled Numerical-Soft Computing technique. IWA World Water Congress & Exhibition 2022, Copenhagen, Denmark.
  44. Shakouri, B., Mohammadi, M., Safari, M. J. S., & Hariri-Ardebili, M. A. (2023). A collaborative numerical simulation-soft computing approach for earth dams first impoundment modeling. Computers and Geotechnics, 164, 105814. https://doi.org/10.1016/j.compgeo.2023.105814
  45. Shayan, H. K., & Farhoudi, J. (2013). Effective parameters for calculating discharge coefficient of sluice gates. Flow Measurement and Instrumentation, 33, 96-105. https://doi.org/10.1016/j.flowmeasinst.2013.06.001
  46. Siacara, A., Napa-García, G., Beck, A., & Futai, M. (2020). Reliability analysis of earth dams using direct coupling. Journal of Rock Mechanics and Geotechnical Engineering, 12(2), 366-380. https://doi.org/10.1016/j.jrmge.2019.07.012
  47. Sørensen, J. D. (2004). Notes in structural reliability theory and risk analysis. Aalborg University, 4. http://www.ukm.my/kamal3/rro/note%20Structural%20Reliability%20Theory%20and%20risk%20analysis.pdf
  48. Srivastava, A. a. B. G. L. S. (2010). Total risk rating and stability analysis of embankment dams in the Kachchh Region, Gujarat, India. Engineering Geology, 115(1-2), 68-79. https://doi.org/10.1016/j.enggeo.2010.06.011
  49. Teimouri, A. B. B., & Khalkhali, A. B. (2018). Stability control of Narmab Dam and sensitivity analysis of reliability coefficients. Civil Engineering Journal, 4(9), 2197-2209. https://doi.org/10.28991/cej-03091150
  50. Vahdati, P. (2014). Identification of soil parameters in an embankment dam by mathematical optimization Luleå tekniska universitet]. https://www.diva-portal.org/smash/get/diva2:990533/FULLTEXT01.pdf
  51. Vahdati, P., Levasseur, S., Mattsson, H., & Knutsson, S. (2013). Inverse Mohr-Coulomb soil parameter identification of an earth and rockfill dam by genetic algorithm optimization. The Electronic journal of geotechnical engineering, 18(X), 5419-5440. https://www.diva-portal.org/smash/get/diva2:1014014/FULLTEXT01.pdf
  52. Wang, L., Wu, C., Tang, L., Zhang, W., Lacasse, S., Liu, H., & Gao, L. (2020). Efficient reliability analysis of earth dam slope stability using extreme gradient boosting method. Acta Geotechnica, 15, 3135-3150. https://doi.org/10.1007/s11440-020-00962-4
  53. Yang, L. Q., Gao, R., & Wang, Y. (2014). Uncertainty analysis and monitoring of earth dam. Applied Mechanics and Materials, https://www.scientific.net/AMM.580-583.954
  54. Yücel, A. R. (2013). Seismic analysis of concrete gravity dams including damfoundation-reservoir interaction Middle East Technical University]. https://hdl.handle.net/11511/22938
  55. Zienkiewicz, O., & Taylor, R. (1977). The Finite Element Method, McGraw-Hill. New York.
  56. Ziyaei, M. (2013). A consideration of settlement in soil dams at the operation time and comparison with the results of the numerical analysis (case study: Maku dam) Urmia University (In Persian).
  57. Zomorodian, A., Sahebzadeh, K., & Ooria, A. (2006). Effect of number of layers on incremental construction analysis of earth and rock fill dams. Electronic Journal of Geotechnical Engineering, 11.  https://www.researchgate.net/publication/294629378_Effect_of_number_of_layers_on_incremental_construction_analysis_of_earth_and_rock_fill_dams
Water and Irrigation Management
Volume 14, Issue 1
March 2024
Pages 75-90

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