System reliability analysis of downstream spillways based on collapse of upstream spillways

Won Choi, Jeongbae Jeon, Jinseon Park, JeongJae Lee, Seongsoo Yoon

Abstract


Some agricultural reservoirs in South Korea are vulnerable to situations in which they are unable to function as reservoirs because of essential safety issues. This is because 70% of existing agricultural reservoirs were originally constructed more than 50 years ago; most of these reservoirs have not been maintained or managed since their initial construction. In the worst cases, reservoirs are connected to one another by short distances and/or the sizes of upstream reservoirs are larger than the sizes of downstream reservoirs. Individual components of the reservoirs, such as their embankments, spillways, and water intake facilities, have been considered in order to understand the main factors associated with potential reservoir failure. Accordingly, this study aims to estimate the probability of failure in downstream spillways upon the collapse of upstream spillways (for reservoirs connected in series). A simple equation to calculate the rise in the water level in downstream spillways, which is caused by the collapse of upstream spillways, was proposed. This equation was based on the discharge equation of an overflowing rectangular weir and the scaling law for continuous flow. To verify the proposed simple equation, the water level increments were compared with the simulated results of the commercial software FLOW-3D, which is an accurate computational fluid dynamics (CFD) program that is used for tracking free-surface flows. The values predicted through the simple formula were close to the simulated data (within a maximum prediction error of 5%). The values were updated to reflect the effects of hydraulic pressures on the walls of downstream spillways, thereby allowing the failure probabilities (due to overturning, sliding, and settlement) of the downstream spillways to be computed. This study found that the failure probabilities of independent components in reservoirs are significantly different from the systematic failure values observed in sequential modes.
Keywords: failure probability, collapse, spillway, discharge, scaling law, FLOW-3D
DOI: 10.3965/j.ijabe.20150804.1824

Citation: Choi W, Jeon J, Park J, Lee J, Yoon S. System reliability analysis of downstream spillways based on collapse of upstream spillways. Int J Agric & Biol Eng, 2015; 8(4): 140－150.

Keywords


failure probability, collapse, spillway, discharge, scaling law, FLOW-3D

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References


Ashby S F, Manteuffel T A, Saylor P E. A taxonomy for conjugate gradient methods. SIAM J. Numer. Anal., 1990; 27: 1542–1568. doi: http://dx.doi.org/10.1137/0727091

Barrett R, Berry M, Chan T F. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, Philadelphia: SIAM. 1994. doi: http://dx.doi.org/10.1137/ 1.9781611971538

Braja M D. Principles of foundation engineering, Toronto, Canada: Thomson, 1970; 390–393 p.

Burcharth H F, Sorensen J S, Christiani E. On the evaluation of failure probability of monolithic vertical wall breakwaters. Proc. International Workshop on Wave Barriers in Deepwaters, 10-14 January, Yokosuka, Japan, 1994; 458–469.

Chanel P G, Doering J C. Assessment of spillway modeling using computational fluid dynamics. Can. J. Civil Eng., 2008; 35(12): 1481–1485. doi:http://dx.doi.org/10.1139/L08- 094

Christiani E, Burcharth H F, Sorensen J D. Reliability based optimal design of vertical breakwaters modelled as a series system failure. Proc. the twenty-fifth international conf., 2-6 September, Orlando, FL, USA, 1996; 1589–1602.

Hirt C W, Nichols B D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys., 1981; 39(1): 201–225. doi:http://dx.doi.org/10.1016/0021-9991(81) 90145-5

Hirt C W, Sicilian J M. A porosity technique for the definition of obstacles in rectangular cell meshes. Proc., 4th Int. Conf. on Numerical Ship Hydrodynamics, National Academy of Science Conf., 24-27 September, Washington, DC, USA, 1985; 1–19.

Hirt C W. Volume-fraction techniques: powerful tools for wind engineering. J. Wind Eng. Ind. Aerodyn., 1993; 46/47: 327–338. doi: http://dx.doi.org/10.1016/0167-6105(93) 90298-3

Johnson M C, Savage B M. Physical and Numerical Comparison of Flow over Ogee Spillway in the Presence of Tailwater. J. Hydraulic Eng., 2006; 132(12): 1353–1357. doi: http://dx.doi.org/10.1061/(ASCE)0733-9429(2006)132: 12(1353).

Kocaman S, Hatice O-C. The effect of lateral channel contraction on dam break flows: Laboratory experiment. J. Hydrol., 2012; 432/433: 145–153. doi: http://dx.doi.org/10. 1016/j.jhydrol.2012.02.035

Korea Rural Community Corporation. Emergency action plan (EAP) report. KRC, South Korea, 2008-2010.

Korea Rural Community Corporation. Precision safety inspection (PSI) report. KRC, South Korea, 2006-2010.

Ministry for Food, Agriculture, Forestry and Fisheries. Development of integrated management system for agricultural infrastructure report. MIFAFF, South Korea, 2014.

Nichols B D, Hirt C W, Hotchkiss R S. Volume of fluid (VOF) method for the dynamics of free boundaries. Los Alamos Scientific Lab. Rep., LA-8355, Los Alamos, NM, USA. 1980.

Saad Y, Schultz M H. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput., 1986; 7(3): 856–869. doi: http:// dx.doi.org/10.1137/0907058

Savage B M, Johnson M C. Flow over ogee spillway: physical and numerical model case study. J. Hydraulic Eng., 2001; 127(8): 640–649. doi: http://dx.doi.org/10.1061/(ASCE) 0733-9429(2001)127:8(640).

Vasquez J A, Roncal J J. Testing River2D and Flow-3D for sudden dam-break flow simulations. Proc., CDA 2009 Annual Conf., 3-8 October, Whistler, BC, Canada, 2009; 44–55.

Versteeg H K, Malalasekera W. An introduction to computational fluid dynamics, New York: Longman Scientific and Technical. 1995.

Xu Y, Zhang L, Jia J. Lessons from catastrophic dam failures in August 1975 in Zhumadian, China. GeoCongress 2008 (2008 proc., ASCE), 9-12 March, New Orleans, LA, USA, 2008; 162–169. doi: http://dx.doi.org/10.1061/40971 (310)20.




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