Abstract
A new model for predicting the frequency of extreme river levels is proposed which encapsulates physical knowledge about river dynamics, including the Chezy equation for discharge and water input from tributaries. A simple example shows how changes in discharge characteristics changes the extreme river level frequencies. Solutions are provided for special cases, and directions for more general techniques are provided.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. E. J. Berger, Flow Forecasting for the River Meuse. PhD thesis, Technical University of Delft, Dept. of Civil Engineering, 1992.
U.S. Water Resources Council, Guidelines for Determining Flood Flow Frequency. Reston, VA: Bulletin 17B of the Hydrology Committee, US Government Printing Office, 1982.
J. H. A. Wijbenga et al, “Toetsing uitgangspunten rivierdijk- versterkingen.” Deelrapport 2, Maatgevende belastingen, Ministerie van Verkeer en Waterstaat, januari 1993. (in Dutch).
P.H.A.J.M. Van Gelder, “De Hoogwaterramp van Limburg in December 1993, een statistische beschouwing.” Rijkswaterstaat, Dienst Weg- en Wa- terbouwkunde, 7 March 1994. (in Dutch).
C. Cunnane, “Review of statistical models for flood frequency estimation,” in Hydrologic Frequency Modeling (V. P. Singh, ed.), (Dordrecht), pp. 49- 95, International Symposium on Flood Frequency Analyses, D. Reidel Pub. Co., 1987.
D. Mitra and A. I. Elwalid, “Statistical multiplexing with loss priorities in rate-based congestion control of high-speed networks,”IEEE Transactions on Communications, vol. 42, pp. 2989 – 3002, Nov. 1994.
S. M. Ross, Stochastic Processes. New York: John Wiley & Sons, Inc., 1983.
K. Petersen, Ergodic Theory. Cambridge: Cambridge University Press, 1983.
S. Wolfram, Mathematical A System for Doing Mathematics by Computer. Redwood City, CA: Addison-Wesley Pub. Co., Inc., 2nd ed., 1991.
W. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C. Cambridge: Cambridge University Press, 2nd ed., 1992.
Ministerie van Verkeer en Waterstaat, “Onderzoek Watersnood Maas.” Deelrapport 9, Schademodellering, 12 December 1994. (in Dutch).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Kluwer Academic Publishers
About this chapter
Cite this chapter
Chick, S., Shortle, J., van Gelder, P., Mendel, M. (1997). A Physics-Based Approach to Predicting the Frequency of Extreme River Levels. In: Cooke, R., Mendel, M., Vrijling, H. (eds) Engineering Probabilistic Design and Maintenance for Flood Protection. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3397-5_8
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3397-5_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3399-9
Online ISBN: 978-1-4613-3397-5
eBook Packages: Springer Book Archive