TECHNICAL PAPERS
Feb 19, 2004

Accounting for Stream–Aquifer Interactions in the State-Space Discretization of the Kalinin–Milyukov–Nash Cascade for Streamflow Forecasting

Publication: Journal of Hydrologic Engineering
Volume 9, Issue 2

Abstract

A sample-data system discretization of the continuous Kalinin–Milyukov–Nash cascade is performed in a state-space analysis framework allowing for stream–aquifer interactions that include bank storage during flood events and groundwater discharge to the stream under low-flow conditions. These interactions generally result in faster attenuation of propagating flood waves and in elevated streamflow levels during drought conditions. An example is given that demonstrates how accounting for these processes ensures more reliable streamflow forecasts. The model is based on a simplified physical description of the processes both in the stream and across the stream–aquifer boundary.

Get full access to this article

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

References

Abramowitz, M., and Stegun, I. A. (1965). Handbook of mathematical functions, Dover, New York.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw-Hill, New York.
Cunge, J. A.(1969). “On the subject of a flood propagation model (Muskingum method).” J. Hydraul. Res., 7, 205–230.
Hantush, M. M., Harada, M., and Marino, M. A. (2001). “Hydraulic analysis of baseflow and bank storage in alluvial streams.” Proc., Wetlands Eng. River Restor., Reno, Nev.
Hantush, M. M., Harada, M., and Marino, M. A.(2002). “Hydraulics of stream flow routing with bank storage.” J. Hydrologic Eng., 7(1), 76–89.
Hunt, B.(1990). “An approximation for the bank storage effect.” Water Resour. Res., 26(11), 2769–2775.
Kalinin, G. P., and Milyukov, P. I.(1957). “Raschete neustanovivshegosya dvizheniya vody v otkrytykh ruslakh (On the computation of unsteady flow in open channels).” Met. Gydrologia Zhurnal, 10, 10–18.
Kalman, R. E.(1960). “A new approach to linear filtering and prediction problems.” ASME J. Basic Eng., 82D, 35–45.
Kalman, R. E., and Bucy, R. S.(1961). “New results in linear filtering and prediction theory.” J. Basic Eng., 83, 95–103.
Moench, A. F., Sauer, V. B., and Jennings, M. E.(1974). “Modification of routed streamflow by channel loss and baseflow.” Water Resour. Res., 10(5), 963–968.
Nash, J. E. (1957). “The form of instantaneous unit hydrograph.” Proc., IASH Assemblee Generrale de Toronto, Toronto, 114–131.
Pearce, F. (2002). “Europe’s wake-up call.” New Sci., August 24, 1.
Pinder, G. F., and Sauer, S. P.(1971). “Numerical simulation of flood wave modification due to bank storage effects.” Water Resour. Res., 7(1), 63–70.
Szilagyi, J.(2003). “State-space discretization of the KMN-cascade in a sample-data system framework for streamflow forecasting.” J. Hydrologic Eng., 8(6), 339–347.
Szilagyi, J., Harvey, F. E., and Ayers, J. F.(2003). “Regional estimation of base recharge to ground water using water balance and a base-flow index.” Ground Water, 41(4), 504–513.
Szöllo˝si-Nagy, A.(1982). “The discretization of the continuous linear cascade by means of state space analysis.” J. Hydrol., 58, 223–236.
Szöllo˝si-Nagy, A.(1987). “Input detection by the discrete linear cascade model.” J. Hydrol. 89, 353–370.
Szöllo˝si-Nagy, A. (1989). A mederbeli lefolyás real-time elo˝rejelzése dinamikus strukturális-sztochasztikus modellekkel (real-time streamflow forecasting using dynamically structured deterministic-stochastic models), Vizgazdálkodási Tudományos Kutató Központ, Budapest, Hungary.
Young, P. C.(2002). “Advances in real-time flood forecasting.” Philos. Trans. R. Soc. London, Ser. A, 360, 1433–1450.
Zitta, V. L., and Wiggert, J. M.(1971). “Flood routing in channels with bank storage.” Water Resour. Res., 7(5), 1341–1345.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 9Issue 2March 2004
Pages: 135 - 143

History

Received: Oct 18, 2002
Accepted: Jul 22, 2003
Published online: Feb 19, 2004
Published in print: Mar 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Jozsef Szilagyi
Research Hydrologist/Associate Professor, Conservation and Survey Division, Univ. of Nebraska-Lincoln, Lincoln, NE 68588-0517.

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