Technical Papers
Apr 8, 2020

River Levee Overtopping: A Bivariate Methodology for Hydrological Characterization of Overtopping Failure

Publication: Journal of Hydrologic Engineering
Volume 25, Issue 6

Abstract

This research presents a bivariate methodology for the hydrological characterization of the overtopping failure for an existing river levee. Conventional procedures usually consider only one variable for the hydrologic forcing (peak discharge, Q). Such an approach might fail if the volume of the hydrograph (V) is also significant. The proposed methodology is based on the generation of a set of plausible inflow hydrographs characterized by their peaks and volumes in the Q-V space. The shapes of the hydrographs are classified according to their tendency to produce overtopping, introducing a new index: the Overtopping Hydrograph Shape Index (OHSI). The levees in two river reaches located in Tuscany, Italy, were used as a case study. As a preliminary result, it was found that the hydrographs that produce overtopping failure in both cases lay on a zone in Q-V space delimited by a curve, the Critical Overtopping Flood Hydrograph (COFH) curve. The existence of COFH demonstrates that overtopping failure is not determined by a unique variable (Q) but rather by the combination of both Q and V. The limiting case corresponds to a family of hydrographs with varying Q and V values. The COFH allows dividing the Q-V space into two zones, the no-failure zone and the failure zone, that simplify the evaluation of the failure probability for a river levee.

Get full access to this article

View all available purchase options and get full access to this article.

References

Aguilar-López, J. P., J. J. Warmink, R. M. J. Schielen, and S. J. Hulscher. 2016. “Soil stochastic parameter correlation impact in the piping erosion failure estimation of riverine flood defences.” Struct. Saf. 60 (May): 117–129. https://doi.org/10.1016/j.strusafe.2016.01.004.
Aksoy, H., M. Bayazit, and H. Wittenberg. 2001. “Probabilistic approach to modelling of recession curves.” Hydrol. Sci. J. 46 (2): 269–285. https://doi.org/10.1080/02626660109492821.
Aksoy, H., and H. Wittenberg. 2011. “Nonlinear baseflow recession analysis in watersheds with intermittent streamflow.” Hydrol. Sci. J. 56 (2): 226–237. https://doi.org/10.1080/02626667.2011.553614.
Bayiliss, A. 1999. “Deriving flood peak data.” In Vol. 3 of Flood estimation handbook, 273–283. London: UK Centre for Ecology & Hydrology.
Bender, J., T. Wahl, and J. Jensen. 2014. “Multivariate design in the presence of non-stationarity.” J. Hydrol. 514 (Jun): 123–130. https://doi.org/10.1016/j.jhydrol.2014.04.017.
Briaud, J.-L., H.-C. Chen, A. V. Govindasamy, and R. Storesund. 2008. “Levee erosion by overtopping in New Orleans during the Katrina Hurricane.” J. Geotech. Geoenviron. Eng. 134 (5): 618–632. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:5(618).
Chebana, F., and T. B. Ouarda. 2011. “Multivariate quantiles in hydrological frequency analysis.” Environmetrics 22 (1): 63–78. https://doi.org/10.1002/env.1027.
Chow, V. 1958. Open-channel hydraulics. Tokyo: McGraw-Hill.
Chow, V. T., D. R. Maidment, and L. W. Mays. 1988. Applied hydrology. New York: McGraw-Hill.
CIRIA (Construction Industry Research and Information Association). 2013. The international levee handbook. London: CIRIA.
Coles, S. 2001. An introduction to statistical modeling of extreme values. London: Springer.
Coutagne, A. 1948. “Etude générale des variations de débits en fonction des facteurs qui les conditionnent, 2ème partie: Les variations de débit en période non influencée par les precipitations.” La Houille Blanche 3: 416–436. https://doi.org/10.1051/lhb/1948053.
Cunnane, C. 1973. “A particular comparison of annual maxima and partial duration series methods of flood frequency prediction.” J. Hydrol. 18 (3–4): 257–271. https://doi.org/10.1016/0022-1694(73)90051-6.
Cunnane, C. 1979. “A note on the Poisson assumption in partial duration series models.” Water Resour. Res. 15 (2): 489–494. https://doi.org/10.1029/WR015i002p00489.
Damme, M. V., L. Ponsioen, M. Herrero, and P. Peeters. 2016. “Comparing overflow and wave-overtopping induced breach initiation mechanisms in an embankment breach experiment.” In Vol. 03004 of Proc., FLOODrisk 2016: 3rd European Conf. on Flood Risk Management, 1–9. Paris: Ministry of Ecology, Sustainable Development and Energy of France.
Davison, A. C., and R. L. Smith. 1990. “Models for exceedances over high thresholds.” J. R. Stat. Soc. 52 (3): 393–425.
Dean, R. G., J. D. Rosati, T. L. Walton, and B. L. Edge. 2010. “Erosional equivalences of levees: Steady and intermittent wave overtopping.” Ocean Eng. 37 (1): 104–113. https://doi.org/10.1016/j.oceaneng.2009.07.016.
De Michele, C., G. Salvadori, M. Canossi, A. Petaccia, and R. Rosso. 2005. “Bivariate statistical approach to check adequacy of dam spillway.” J. Hydrol. Eng. 10 (1): 50–57. https://doi.org/10.1061/(ASCE)1084-0699(2005)10:1(50).
Dingman, S. 2015. Physical hydrology. 3rd ed. Long Grove, IL: Waveland Press.
Dou, S. T., D. W. Wang, M. H. Yu, and Y. J. Liang. 2014. “Numerical modeling of the lateral widening of levee breach by overtopping in a flume with 180 bend.” Nat. Hazards Earth Syst. Sci. 14 (1): 11–20. https://doi.org/10.5194/nhess-14-11-2014.
England, J. F., Jr., T. A. Cohn, B. A. Faber, J. R. Stedinger, W. O. Thomas Jr., A. G. Veilleux, J. E. Kiang, and R. R. Mason. 2017. Guidelines for determining flood flow frequency: Bulletin 17C. Reston, VA: USGS.
Favre, A. C., S. El Adlouni, L. Perreault, N. Thiémonge, and B. Bobée. 2004. “Multivariate hydrological frequency analysis using copulas.” Water Resour. Res. 40 (1): 1–12.
Fenton, J. D. 1999. “Calculating hydrographs from stage records.” In Proc., 28th IAHR Congress. Madrid, Spain: International Association for Hydro-Environment Engineering and Research.
Ferrick, M. G. 1985. “Analysis of river wave types.” Water Resour. Res. 21 (2): 209–220. https://doi.org/10.1029/WR021i002p00209.
Fread, D. L. 1975. “Computation of stage-discharge relationships affected by unsteady flow.” J. Am. Water Resour. Assoc. 11 (2): 213–228. https://doi.org/10.1111/j.1752-1688.1975.tb00674.x.
Goel, N., S. Seth, and S. Chandra. 1998. “Multivariate modelling of flood flows.” J. Hydraul. Eng. 124 (2): 146–155. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:2(146).
Goodarzi, E., L. T. Shui, and M. Ziaei. 2013. “Dam overtopping risk using probabilistic concepts—Case study: The Meijaran Dam, Iran.” Ain Shams Eng. J. 4 (2): 185–197. https://doi.org/10.1016/j.asej.2012.09.001.
Gräler, B., A. Petroselli, S. Grimaldi, B. De Baets, and N. Verhoest. 2016. “An update on multivariate return periods in hydrology.” In Vol. 373 of Proc., Int. Association of Hydrological Sciences, 175–178. Wallingford, Oxfordshire, UK: International Association of Hydrological Sciences.
GREHYS, G. D. R. E. S. 1996. “Presentation and review of some methods for regional flood frequency analysis.” J. Hydrol. (Amsterdam) 186 (1–4): 63–84.
Halford, K., and G. Mayer. 2000. “Problem associated with estimating groundwater discharge and recharge from stream-discharge records.” Ground Water 38 (3): 331–342. https://doi.org/10.1111/j.1745-6584.2000.tb00218.x.
Hawkes, P., and C. Svensson. 2006. Use of joint probability methods in flood management: A guide to best practice. Rep. No. Delft, Netheralnds: Delft Univ. of Technology.
Henderson, F. 1966. Open channel flow. New York: Macmillan.
Hewlett, H., L. Boorman, and M. Bramley. 1987. Guide to the design of reinforced grass waterways. London: Construction Industry Research and Information Association.
Hosking, A. J. R. M., and J. R. Wallis. 1987. “Parameter and quantile estimation for the generalized pareto distribution.” Technometrics 29 (3): 339–349. https://doi.org/10.1080/00401706.1987.10488243.
Huang, S., P. Li, Q. Huang, and G. Leng. 2017. “Copula-based identification of the non-stationarity of the relation between runoff and sediment load.” Int. J. Sediment Res. 32 (2): 221–230. https://doi.org/10.1016/j.ijsrc.2017.03.001.
Hughes, S. A. 2008a. Estimation of overtopping flow velocities on earthen levees due to irregular waves. Rep. No. Vicksburg, MS: Engineer Research and Development Center Coastal and Hydraulics Laboratory.
Hughes, S. A. 2008b. “Levee overtopping design guidance: What we know and what we need.” In Proc., Solutions to Coastal Disasters 2008, 867–880. Reston, VA: ASCE.
Jones, B. 1915. “A method of correcting river discharge for a changing stage.” In Proc., Geological Survey Water Supply Paper, 117–130. Reston, VA: USGS.
Kang, L., S. Jiang, X. Hu, and C. Li. 2019. “Evaluation of return period and risk in bivariate non-stationary flood frequency analysis.” Water 11 (1): 79. https://doi.org/10.3390/w11010079.
Lang, M., T. B. M. J. Ouarda, and B. Bobée. 1999. “Towards operational guidelines for over-threshold modeling.” Hydrology 225 (3–4): 103–117. https://doi.org/10.1016/S0022-1694(99)00167-5.
Leopold, L. B., and T. Dunne. 1978. Water in environmental planning, 818. New York: Macmillan.
Li, H., D. Shao, B. Xu, S. Chen, W. Gu, and X. Tan. 2016. “Failure analysis of a new irrigation water allocation mode based on copula approaches in the zhanghe irrigation District, China.” Water 8 (6): 8–13.
Li, Z., Y. Chen, G. Fang, and Y. Li. 2017. “Multivariate assessment and attribution of droughts in Central Asia.” Sci. Rep. 7 (1): 1–12.
Marchi, E. 1978. “La Propagazione delle onde di piena.” Atti della Accademia Nazionale dei Lincei 64 (6): 594–602.
Mediero, L., A. Jiménez-Álvarez, and L. Garrote. 2010. “Design flood hydrographs from the relationship between flood peak and volume.” Hydrol. Earth Syst. Sci. 14 (12): 2495–2505. https://doi.org/10.5194/hess-14-2495-2010.
Michailidi, E. M., and B. Bacchi. 2017. “Dealing with uncertainty in the probability of overtopping of a flood mitigation dam.” Hydrol. Earth Syst. Sci. 21 (5): 2497–2507. https://doi.org/10.5194/hess-21-2497-2017.
Minatti, L., P. N. De Cicco, and L. Solari. 2016. “Second order discontinuous Galerkin scheme for compound natural channels with movable bed. Applications for the computation of rating curves.” Adv. Water Resour. 93 (Jul): 89–104. https://doi.org/10.1016/j.advwatres.2015.06.007.
Naghettini, M., K. W. Potter, and T. Illangasekare. 1996. “Estimating the upper tail of flood-peak frequency distributions using hydrometeorological information.” Water Resour. Res. 32 (6): 1729–1740. https://doi.org/10.1029/96WR00200.
Pazzaglia, F. J., T. W. Gardner, and D. J. Merritts. 1998. “Bedrock fluvial incision and longitudinal profile development over geologic time scales determined by fluvial terraces.” Geophys. Monogr.-Am. Geophys. Union 107: 207–236.
Pickands, J. 1975. “Statistical inference using extreme order analysis.” Ann. Stat. 3 (1): 119–131. https://doi.org/10.1214/aos/1176343003.
Requena, A. I., L. Mediero, and L. Garrote. 2013. “A bivariate return period based on copulas for hydrologic dam design: Accounting for reservoir routing in risk estimation.” Hydrol. Earth Syst. Sci. 17 (8): 3023–3038. https://doi.org/10.5194/hess-17-3023-2013.
Rhao, A., and K. Hamed. 2000. Flood frequency analysis. Boca Raton, FL: CRC Press.
River Basin District Authority of Northern Apennine. 2017. “Opendata.” Accessed October 31, 2017. http://www.adbarno.it/opendata/.
Salvadori, G., and C. De Michele. 2004. “Frequency analysis via copulas: Theoretical aspects and applications to hydrological events.” Water Resour. Res. 40 (12): 17.
Salvadori, G., and C. De Michele. 2010. “Multivariate multiparameter extreme value models and return periods: A copula approach.” Water Resour. Res. 46 (10). https://doi.org/10.1029/2009WR009040.
Salvadori, G., F. Durante, G. R. Tomasicchio, and F. D’Alessandro. 2015. “Practical guidelines for the multivariate assessment of the structural risk in coastal and off-shore engineering.” Coastal Eng. 95 (Jan): 77–83. https://doi.org/10.1016/j.coastaleng.2014.09.007.
Schmocker, L., P.-J. Frank, and W. H. Hager. 2014. “Overtopping dike-breach: Effect of grain size distribution.” J. Hydraul. Res. 52 (4): 559–564. https://doi.org/10.1080/00221686.2013.878403.
Schmocker, L., and W. H. Hager. 2009. “Modelling dike breaching due to overtopping.” J. Hydraul. Res. 47 (5): 585–597. https://doi.org/10.3826/jhr.2009.3586.
Seber, G. A., and M. M. Salehi. 2012. “Inverse sampling methods.” In Adaptive sampling designs, 126. Berlin: Springer.
Serinaldi, F. 2015. “Dismissing return periods!” Stochastic Environ. Res. Risk Assess. 29 (4): 1179–1189. https://doi.org/10.1007/s00477-014-0916-1.
Serinaldi, F. 2016. “Can we tell more than we can know? The limits of bivariate drought analyses in the United States.” Stochastic Environ. Res. Risk Assess. 30 (6): 1691–1704. https://doi.org/10.1007/s00477-015-1124-3.
Shapiro, S. S., and M. B. Wilk. 1965. “An analysis of variance test for normality (complete samples).” Biometrika 52 (3): 591–611. https://doi.org/10.1093/biomet/52.3-4.591.
Smith, R. 1985. “Maximum likelihood estimation in a class of non regular cases.” Biometrika 72 (1): 67–90. https://doi.org/10.1093/biomet/72.1.67.
Srinivasulu, S., and A. Jain. 2009. “River flow prediction using an integrated approach.” J. Hydrol. Eng. 14 (1): 75–83. https://doi.org/10.1061/(ASCE)1084-0699(2009)14:1(75).
Stedinger, J., R. Vogel, and E. Foufoula-Georgiou. 1993. “Frequency analysis of extreme events.” In Handbook of hydrology, edited by D. R. Maidment. New York: McGraw-Hill.
Thiesen, S., P. Darscheid, and U. Ehret. 2019. “Identifying rainfall-runoff events in discharge time series: A data-driven method based on information theory.” Hydrol. Earth Syst. Sci. 23 (2): 1015–1034. https://doi.org/10.5194/hess-23-1015-2019.
USACE. 2009. Performance evaluation of the New Orleans and southeast Louisiana hurricane protection system: Final report of the Interagency Performance Evaluation Task Force, volume I: Executive summary and overview. Washington, DC: USACE.
USACE and USDBR. 2015. “Probabilistic hydrologic hazard analysis.” In Best practices in dam and levee safety risk analysis, 1–20. Washington, DC: U.S. Department of Interior (Bureau of the Reclamation).
Van Douwen, A. 1963. Selected aspects of hydraulic engineering: Liber amicorum dedicated to Johannes Theodoor Thijse, on occasion of his retirement as professor. Delft, Netherlands: TU Delft, Section Hydraulic Engineering.
Vezzoli, R., G. Salvadori, and C. De Michele. 2017. “A distributional multivariate approach for assessing performance of climate-hydrology models.” Sci. Rep. 7 (1): 1–15.
Volpi, E., and A. Fiori. 2012. “Design event selection in bivariate hydrological frequency analysis.” Hydrol. Sci. J. 57 (8): 1506–1515. https://doi.org/10.1080/02626667.2012.726357.
Vorogushyn, S., B. Merz, K. E. Lindenschmidt, and H. Apel. 2010. “A new methodology for flood hazard assessment considering dike breaches.” Water Resour. Res. 46 (8): 1–17.
Wahl, T., C. Mudersbach, and J. Jensen. 2012. “Assessing the hydrodynamic boundary conditions for risk analyses in coastal areas: A multivariate statistical approach based on Copula functions.” Nat. Hazard. Earth Syst. Sci. 12 (2): 495–510. https://doi.org/10.5194/nhess-12-495-2012.
Wei, H., M. Yu, D. Wang, and Y. Li. 2016. “Overtopping breaching of river levees constructed with cohesive sediments.” Nat. Hazards Earth Syst. Sci. 16 (7): 1541–1551. https://doi.org/10.5194/nhess-16-1541-2016.
Whitehead, E. 1976. A guide to the use of grass in hydraulic engineering practice. Oxfordshire, UK: HR Wallingford.
Wittenberg, H. 1999. “Baseflow recession and recharge as nonlinear storage processes.” Hydrol. Processes 13 (5): 715–726. https://doi.org/10.1002/(SICI)1099-1085(19990415)13:5%3C715::AID-HYP775%3E3.0.CO;2-N.
Yue, S., T. Ouarda, B. Bobée, P. Legendre, and P. Bruneau. 1999. “The Gumbel mixed model for flood frequency analysis.” J. Hydrol. 226 (1–2): 88–100. https://doi.org/10.1016/S0022-1694(99)00168-7.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 25Issue 6June 2020

History

Received: Nov 28, 2018
Accepted: Dec 31, 2019
Published online: Apr 8, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 8, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Dept. of Civil and Environmental Engineering, Univ. of Florence, Florence 50139, Italy; Departamento de Ingeniería Civil: Hidráulica, Energía y Medio Ambiente, Universidad Politécnica de Madrid, Madrid 28040, Spain (corresponding author). ORCID: https://orcid.org/0000-0001-9269-3104. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Florence, Florence 50139, Italy. ORCID: https://orcid.org/0000-0001-6389-3801
Professor, Departamento de Ingeniería Civil: Hidráulica, Energía y Medio Ambiente, Universidad Politécnica de Madrid, Madrid 28040, Spain. ORCID: https://orcid.org/0000-0001-9087-3638

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share