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Dam-breaking seiches

Published online by Cambridge University Press:  01 June 2009

N. J. BALMFORTH ,
J. VON HARDENBERG  and
R. J. ZAMMETT
N. J. BALMFORTH
Affiliation:
Department of Mathematics and Department of Earth & Ocean Science, University of British Columbia, Vancouver, BC V6T 1Z2Canada
J. VON HARDENBERG
Affiliation:
Institute of Atmospheric Sciences and Climate, CNR, 73100 Lecce, Italy
R. J. ZAMMETT*
Affiliation:
Department of Mathematics, University of Oxford, 24–26 St Giles, Oxford OX1 3LB, UK
*
†Email address for correspondence: rachel_zammett@yahoo.co.uk
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Abstract

Experimental and theoretical models are used to explore the break of a moraine dam by catastrophic erosional incision initiated by an overtopping wave. The experiments are conducted in a rectangular tank with an erodible barrier made from sand and grit. Theory combines shallow-water hydrodynamics with an empirical model of erosion. The models confirm that dams can be broken by a catastrophic incision. However, the displacement wave does not break the dam in its first passage but excites a long-lived seiche that repeatedly washes over the dam. The cumulative erosion of the downstream face by the overtopping seiches eventually allows an incipient channel to form, and catastrophic incision follows. Estimates are presented of the strength of the initial disturbance required to break the dam, the maximum discharge and the duration of the runaway incision.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 628 , 10 June 2009 , pp. 1 - 21
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Baines, P. 1998 Topographic Effects in Stratified Flows. Cambridge University Press.Google Scholar
Balmforth, N. J., von Hardenberg, J., Provenzale, A. & Zammett, R. 2008 Dam breaking by catastrophic erosional incision. J. Geophys. Res. 113, F01020. Doi:10.1029/2007JF000756.Google Scholar
Blown, I. G. & Church, M. 1985 Catastrophic lake drainage within the Homathko river basin, British Columbia. Can. Geotech. J. 22, 551–553.Google Scholar
Cao, Z., Pender, G., Wallis, S. & Carling, P. 2004 Computational dam-break hydraulics over erodible sediment bed. J. Hydr. Engng ASCE 130, 689–703.Google Scholar
Clague, J. J. & Evans, S. G. 2000 A review of catastrophic drainage of moraine-dammed lakes in British Columbia. Quart. Sci. Rev. 19, 1763–1783.Google Scholar
Clarke, G. K. C. 1987 Subglacial till: a physical framework for its properties and processes. J. Geophys. Res. 92 (B9), 9023–9036.Google Scholar
Coleman, S. E., Andrews, D. P. & Webby, M. G. 2002 Overtopping breaching of noncohesive homogeneous embarkments. J. Hydr. Engng ASCE 128, 829–838.Google Scholar
Cui, Y., Parker, G., Braudrick, C., Dietrich, W. E. & Cluer, B. 2006 a Dam Removal Express Assessment Models (DREAM). Part 1. Model development and validation. J. Hydr. Res. 44, 291–307.Google Scholar
Cui, Y., Braudrick, C., Dietrich, W. E., Cluer, B. & Parker, G. 2006 b Dam Removal Express Assessment Models (DREAM). Part 2. Sample runs/sensitivity tests. J. Hydr. Res. 44, 308–323.Google Scholar
Hogg, A. M. & Hughes, G. O. 2006 Shear flow and viscosity in single-layer hydraulics. J. Fluid Mech. 548, 431–443.Google Scholar
Hubbard, B., Heald, A., Reynolds, J. M., Quincey, D., Richardson, S. D., Luyo, M. Z., Portilla, N. S. & Hambrey, M. J. 2005 Impact of a rock avalanche on a moraine-dammed proglacial lake: Laguna Safuna Alta, Cordillera Blanca, Peru. Earth Surf. Processes Landforms 30, 1251–1264.Google Scholar
Keulegan, G. H. 1959 Energy dissipation in standing waves in rectangular basins. J. Fluid Mech. 6, 33–50.Google Scholar
McKillop, R. J., & Clague, J. J. 2007 A procedure for making objective preliminary assessments of outburst flood hazard from moraine-dammed lakes in southwestern British Columbia. Nat. Hazards 41, 131–157.Google Scholar
McKillop, R. J., & Clague, J. J. 2007 Statistical, remote-sensing based approach for estimating the probability of catastrophic drainage from moraine-dammed lakes in southwestern British Columbia. Global Planet. Change 56, 153–171.Google Scholar
Merkin, J. H. & Needham, D. J. 1986 An infinite period bifurcation arising in roll waves down an open inclined channel. Proc. R. Soc. Lond. 405, 103–116.Google Scholar
Needham, D. J. & Merkin, J. H. 1984 On roll waves down an open inclined channel. Proc. R. Soc. Lond. A 394, 259–278.Google Scholar
Ouriemi, M., Aussillous, P., Medale, M., Peysson, Y. & Guazzelli, E. 2007 Determination of the critical Shields number for erosion in laminar flow. Phys. Fluids 19, 061706.CrossRefGoogle Scholar
Parker, G. 2006 1D sediment transport morphodynamics with applications to rivers and turbidity currents. http://cee.uiuc.edu/people/parkerg/morphodynamics_e-book.htm.Google Scholar
Pratt, L. J. 1986 Hydraulic control of sill flow with bottom friction. J. Phys. Oceanogr. 16, 1970–1980.Google Scholar
Rabassa, J., Rubulis, S. & Suarez, J. 1979 Rate of formation and sedimentology of (1976-1978) push-moraines, Frias Glacier, Mount Tronadoz (41°10′S; 71°53′W), Argentina. In Moraines and Varves: Origins, Genesis, Classification, (ed. Schluchter, C.), Balkema, pp. 65–79.Google Scholar
Rickenmann, D. 2001 Comparison of bed load transport in torrents and gravel bed streams. Water Resour. Res. 37, 3295–3305.Google Scholar
Taki, K. & Parker, G. 2004 Transportational cyclic steps created by flow over an erodible bed. Part 2. Theory and numerical simulation. J. Hydraulic Res. 43 (5), 502–514.Google Scholar