This paper introduces a methodology in which the fuzzy theory has been used along with numerical modeling of a gravity dam. For this purpose, using the fuzzy set theory method, the Folsom gravity dam in the USA, which is modeled in ANSYS and CADAM softwares, its uncertainties are analyzed. It is shown that with 10% variation in the input variables, about -92.31 to +78.6% uncertainty is created in the heel stability of the dam. Another part of this paper focuses on sensitivity analysis based on inputs and shows how inputs affect the outputs. From this sensitivity analysis can be proven that the output parameters have a monotonic behavior and the fuzzy outputs can be extracted without the need for an optimization algorithm. This paper also presents a new concept of risk identification derived from the fuzzy set theory to increase the stability awareness of the Folsom gravity dam. The minimum amount of uncertainty that leads to the risk area is 0.02%, which is related to S1 in loading condition 2.
Biswas, A. K., & Tortajada, C. (2001). Development and Large Dams: A Global Perspective. International Journal of Water Resources Development, 17(1), 9–21. https://doi.org/10.1080/07900620120025024.
Yigzaw, W., Hossain, F., & Kalyanapu, A. (2013). Impact of Artificial Reservoir Size and Land Use/Land Cover Patterns on Probable Maximum Precipitation and Flood: Case of Folsom Dam on the American River. Journal of Hydrologic Engineering, 18(9), 1180–1190. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000722.
Lave, L. B., & Balvanyos, T. (1998). Risk Analysis and Management of Dam Safety. Risk Analysis, 18(4), 455–462. https://doi.org/10.1111/j.1539-6924.1998.tb00360.x
JIA Hou-hua, H. H. (2003). Analysis of fuzzy-random reliability of slope stability. Rock and Soil Mechanics, 24(4), 657–660.
Su, Huaizhi, & Wen, Z. (2013). Interval risk analysis for gravity dam instability. Engineering Failure Analysis, 33, 83–96. https://doi.org/10.1016/J.ENGFAILANAL.2013.04.027
Gu, C., Li, Z., & Xu, B. (2011). Abnormality diagnosis of cracks in the concrete dam based on dynamical structure mutation. Science China Technological Sciences, 54(7), 1930–1939. https://doi.org/10.1007/s11431-011-4331-2
Canal, M. D. La, & Ferraris, I. (2013). Risk Analysis Holistic Approach as a Base for Decision Making under Uncertainties. Chemical Engineering Transactions, 33, 193–198. https://doi.org/10.3303/CET1333033
Zhu, Y., Niu, X., Gu, C., Dai, B. and Huang, L., 2021. A Fuzzy Clustering Logic Life Loss Risk Evaluation Model for Dam-Break Floods. Complexity, 2021.
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
Bit, A. K., Biswal, M. P., & Alam, S. S. (1992). Fuzzy programming approach to multicriteria decision making transportation problem. Fuzzy Sets and Systems, 50(2), 135–141. https://doi.org/10.1016/0165-0114(92)90212-M.
Mamdani, E. H., & Assilian, S. (1975). An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies, 7(1), 1–13. https://doi.org/10.1016/S0020-7373(75)80002-2.
Hanss, M., & Turrin, S. (2010). A fuzzy-based approach to comprehensive modeling and analysis of systems with epistemic uncertainties. Structural Safety, 32(6), 433–441. https://doi.org/10.1016/J.STRUSAFE.2010.06.003.
Beer, M., Zhang, Y., Quek, S. T., & Phoon, K. K. (2013). Reliability analysis with scarce information: Comparing alternative approaches in a geotechnical engineering context. Structural Safety, 41, 1–10. https://doi.org/10.1016/J.STRUSAFE.2012.10.003.
Reza, B., Sadiq, R., & Hewage, K. (2013). A fuzzy-based approach for characterization of uncertainties in emergy synthesis: an example of paved road system. Journal of Cleaner Production, 59, 99–110. https://doi.org/10.1016/J.JCLEPRO.2013.06.061.
Jahani, E., Muhanna, R. L., Shayanfar, M. A., & Barkhordari, M. A. (2014). Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation. Computer-Aided Civil and Infrastructure Engineering, 29(3), 208–220. https://doi.org/10.1111/mice.12028.
Purba, J. H. (2014a). A fuzzy-based reliability approach to evaluate basic events of fault tree analysis for nuclear power plant probabilistic safety assessment. Annals of Nuclear Energy, 70, 21–29. https://doi.org/10.1016/J.ANUCENE.2014.02.022.
Purba, J. H. (2014b). Fuzzy probability on reliability study of nuclear power plant probabilistic safety assessment: A review. Progress in Nuclear Energy, 76, 73–80. https://doi.org/10.1016/J.PNUCENE.2014.05.010.
Li, G., Lu, Z., & Xu, J. (2015). A fuzzy reliability approach for structures based on the probability perspective. Structural Safety, 54, 10–18. https://doi.org/10.1016/J.STRUSAFE.2014.09.008.
Xu, M., Du, X., Qiu, Z., & Wang, C. (2016). Epistemic uncertainty propagation in energy flows between structural vibrating systems. Journal of Sound and Vibration, 366, 372–395. https://doi.org/10.1016/J.JSV.2015.12.017.
Tee, K. F., Ebenuwa, A. U., & Zhang, Y. (2018). Fuzzy-Based Robustness Assessment of Buried Pipelines. Journal of Pipeline Systems Engineering and Practice, 9(1), 06017007. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000304.
Li, H., Li, J., & Kang, F. (2011). Risk analysis of dam based on artificial bee colony algorithm with fuzzy c-means clustering. Canadian Journal of Civil Engineering, 38(5), 483-492.
Altarejos-García, L., Escuder-Bueno, I., Serrano-Lombillo, A., & de Membrillera-Ortuño, M. G. (2012). Methodology for estimating the probability of failure by sliding in concrete gravity dams in the context of risk analysis. Structural Safety, 36–37, 1–13. https://doi.org/10.1016/J.STRUSAFE.2012.01.001.
Peyras, L., Carvajal, C., Felix, H., Bacconnet, C., Royet, P., Becue, J.-P., & Boissier, D. (2012). Probability-based assessment of dam safety using combined risk analysis and reliability methods – application to hazards studies. European Journal of Environmental and Civil Engineering, 16(7), 795–817. https://doi.org/10.1080/19648189.2012.672200.
Haghighi, A., & Ayati, A. H. (2015). UNCERTAINTY ANALYSIS OF STABILITY OF GRAVITY DAMS USING THE FUZZY SET THEORY. Iran University of Science & Technology, 5(4), 465–478. Retrieved from http://ijoce.iust.ac.ir/browse.php?a_code=A-10-66-79&slc_lang=en&sid=1
Haghighi, A. and Ayati, A.H., 2016. Stability analysis of gravity dams under uncertainty using the fuzzy sets theory and a many-objective GA. Journal of Intelligent & Fuzzy Systems, 30(3), pp.1857-1868.
Alembagheri, M., & Seyedkazemi, M. (2015). Seismic performance sensitivity and uncertainty analysis of gravity dams. Earthquake Engineering & Structural Dynamics, 44(1), 41–58. https://doi.org/10.1002/eqe.2457.
Morales-Torres, A., Escuder-Bueno, I., Altarejos-García, L., & Serrano-Lombillo, A. (2016). Building fragility curves of sliding failure of concrete gravity dams integrating natural and epistemic uncertainties. Engineering Structures, 125, 227–235. https://doi.org/10.1016/J.ENGSTRUCT.2016.07.006
Jia, J., Wang, S., Zheng, C., Chen, Z. and Wang, Y., 2018. FOSM-based shear reliability analysis of CSGR dams using strength theory. Computers and Geotechnics, 97, pp.52-61.
Gavabar, S. G., & Alembagheri, M. (2018). Structural demand hazard analysis of jointed gravity dam in view of earthquake uncertainty. KSCE Journal of Civil Engineering, 22(10), 3972-3979.
Shu, X., Bao, T., Li, Y., Zhang, K. and Wu, B., 2020. Dam Safety Evaluation Based on Interval-Valued Intuitionistic Fuzzy Sets and Evidence Theory. Sensors, 20(9), p.2648.
Pouraminian, M., Pourbakhshian, S. and Noroozinejad Farsangi, E., 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).
Song, L., Xu, B., Kong, X., Zou, D., Yu, X. and Pang, R., 2021. Reliability analysis of 3D Rockfill dam slope stability based on the Copula function. International Journal of Geomechanics, 21(3), p.04021001.
Takagi, H. and Furukawa, F., 2021. Stochastic Uncertainty in a Dam-Break Experiment with Varying Gate Speeds. Journal of Marine Science and Engineering, 9(1), p.67.
US Army Corps of Engineers (USACE), “Gravity Dam Design; Chapter 4- Stability Analysis”, EM 1110-2-2200, 1995.
Moradi Kia, F., Ghafouri, H., & Riyahi, M. M. (2022). Uncertainty analysis and risk identification of the gravity dam stability using fuzzy set theory. Journal of Hydraulic Structures, 7(4), 76-92. doi: 10.22055/jhs.2022.37593.1176
MLA
Fakhreddin Moradi Kia; Hamid R. Ghafouri; Mohammad Mehdi Riyahi. "Uncertainty analysis and risk identification of the gravity dam stability using fuzzy set theory", Journal of Hydraulic Structures, 7, 4, 2022, 76-92. doi: 10.22055/jhs.2022.37593.1176
HARVARD
Moradi Kia, F., Ghafouri, H., Riyahi, M. M. (2022). 'Uncertainty analysis and risk identification of the gravity dam stability using fuzzy set theory', Journal of Hydraulic Structures, 7(4), pp. 76-92. doi: 10.22055/jhs.2022.37593.1176
VANCOUVER
Moradi Kia, F., Ghafouri, H., Riyahi, M. M. Uncertainty analysis and risk identification of the gravity dam stability using fuzzy set theory. Journal of Hydraulic Structures, 2022; 7(4): 76-92. doi: 10.22055/jhs.2022.37593.1176