Reliability analysis of free jet scour below dams

Entropy

Volumn 14, Issue 12, 2012, Pages 2578-2588

  Li, Chuanqi ^a   Wang, Shuai ^a   Wang, Wei ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Free over fall jet; Maximum entropy method; Monte carlo simulation; Reliability analysis; Scour

Indexed keywords

EID: 84871586727     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e14122578     Document Type: Article

References (27)

1. Bollaert, E.F.R.; Schleiss, A.J.Scour of rock due to the impact of plunging high velocity jets Part I: Astate-of-the-art review. J. Hydraul. Res. 2003, 41, 451-464.
2. Bormann N.E.; Julien, P.Y. Scour downstream of grade-control structures. J. Hydr. Engrg. ASCE 1991, 117, 579-594.
3. Azmathullah, H.; Deo, M.C. Neural networks for estimation of scour downstream of ski-jump bucket. J. Hydr. Engrg. ASCE 2005, 131, 898-908.
4. Guven, A.; Gunal, M. Genetic programming approach for prediction of local scour downstream of hydraulic structures. J. Irrigat. Drain Eng. 2008,134, 241-249.
5. Guven, A.; Gunal, M. Prediction of local scour downstream of grade-control structures using neural networks. J. Hydr. Eng. ASCE 2008, 11, 1656-1660.
6. Yildiz, D.; Üzücek, E. Prediction of scour depth from freefalling flip bucket jets. Int. Water Power Dam Constr.1994, 46, 50-56.
7. Bollaert, E.F.R. A comprehensive model to evaluate scour formation in plunge pools. Int. Water Power Dam Constr. 2004, 1, 94-101.
8. Bollaert, E.F.R.; Schleiss, A.J. Physically based model for evaluation of rock scour due to high-velocity jet impact. J. Hydr. Eng. 2005, 131, 153-165.
9. Muzzammil, M.; Siddiqui, N.A. Reliability analysis of scour downstream of a ski-jump bucket. P. I. Civil. Eng. Wat. 2009, 162, 389-398.
10. Yanmaz, A.M. Reliability simulation of scouring downstream of outlet facilities.Turkish. J. Eng.Env. Sci.2003, 27, 65-72.
11. Shams Ghahfarokhi, G.; Phajm van Gelder. Probabilistic description of scour hole downstream of flip bucket spillway of large dams. Technical Proceedings International Conference on Dam and Water for Future (ANCOLD), Gold Coast, Australia, November, 2008.
12. Sobczyk, K.; Trebicki, J. Approximate probability distributions for stochastic systems: Maximum entropy method. Comput. Method Appl. Mech. Eng. 1999, 168, 91-111.
13. Zhang, G.; Zhu, W.; Bai, S. A method of maximum entropy density function for calculation of approximate failure probability (in Chinese). Chin. J. Rock Mech. Eng. 1995, 14, 119-129.
14. Li, C.; Wang, S. Maximum-entropy method for evaluating the slope stability of earth dams. Entropy. 2012, 14, 1864-1876.
15. Veronese, A. Erosioni de Fondo a Valle di unoScarico (in Italian). Annali. dei Lavori. Publicci.1937, 75, 717-726.
16. Mason, P.J.; Arumugam, K. Free jet scour below dams and flip buckets. J. Hydraul. Eng. ASCE 1985, 11, 220-235.
17. Chen, C. On the energy dissipation of high overflow dam with flip bucket and estimation of downstream local erosion (in Chinese). J. Hydraul. Eng.1963, 2, 13-23.
18. Wang, S. A formula for estimating the scour depth of rocky riverbeds by the free jet from a trajectory bucket (in Chinese). J. Hohai. Univ. 1981, 2, 37-56.
19. The professional standards compilation group of People's Republic of China. Title of article. In Design Specification for Concrete Arch Dams (SL282-2003); China Water and Power Press: Beijing, China, 2003; pp. 58-59.
20. Shannon, C.E. A mathematical theory of communication. Bell Syst. Tech. J. 1948, 27, 379-423.
21. Jaynes, E.T. Information theory and statistical mechanics. Phys. Rev. 1957, 106, 620-630.
22. Zellner, A.; Highfield, R.A. Calculation of maximum entropy distributions and approximation of marginal posterior distributions. J. Econom. 1988, 37, 195-209.
23. Rockinger, M.; Jondeau, E. Entropydensities with an application to autoregressive conditional skewness and kurtosis. J. Econom. 2002, 106, 119-142.
24. Xu, Z.; Guo, Z. Risk calculation of open-type spillway (in Chinese). J. Hydraul. Eng.1989, 4, 50-54.
25. Wu, S.; Zhang, S. Statistic values for yearly maximum of head-water level of dams (in Chinese). J. Hohai. Univ. 1984, 4, 66-74.
26. Xu, Z.; Guo, Z. Reliability analysis of flood relief scheme of Ertan Project (in Chinese). J. Hydraul. Eng. 1990, 8, 48-52.
27. Chu, X. Research on hydraulic uncertainties model (in Chinese). J. Hydraul. Eng. 1992, 5, 33-38.