TECHNICAL PAPERS
Jun 1, 2001

Moment-Based Calculation of Parameters for the Storage Zone Model for River Dispersion

This article has a reply.
VIEW THE REPLY
Publication: Journal of Hydraulic Engineering
Volume 127, Issue 6

Abstract

Theoretical methods have been developed to calculate values of parameters of the storage zone model for river mixing. Analytical solutions of the Laplace-transformed equations of the storage zone model are related to the observed concentration distribution in order to determine model parameters in both the moment matching method and the maximum likelihood method, which were developed in this study. The results obtained by comparison with experimental data show that the parameters calculated by the moment matching method are in good agreement with the observed values of storage zone model parameters, whereas results from the maximum likelihood method and several existing methods are not in good agreement with the experimentally observed values. Dispersion data from natural streams show that the calculated concentration curves from the numerical solutions of the storage zone model with the parameters calculated by the moment matching method fit the observed concentration curves very well. It can be concluded that parameters of the storage zone model calculated using the moment matching method can properly explain the natural dispersion processes in real streams.

Get full access to this article

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

References

1.
Bencala, K. E. ( 1984). “Interactions of solutes and streambed sediment 2. A dynamic analysis of coupled hydrologic and chemical processes that determine solute transport.” Water Resour. Res., 20(12), 1804–1814.
2.
Broshears, R. E., Bencala, K. E., Kimball, B. A., and McKnight, D. M. ( 1993). “Tracer-dilution experiments and solute-transport simulations for a mountain stream, Saint Kevin Gulch, Colorado.” Profl. Paper 92-4081, U.S. Geological Survey, Denver.
3.
Czernuszenko, W., and Rowinski, P. M. (1997). “Properties of the dead zone model of longitudinal dispersion in rivers.”J. Hydr. Res., Delft, The Netherlands, 35(4), 491–504.
4.
Czernuszenko, W., Rowinski, P.-M., and Sukhodolov, A. (1998). “Experimental and numerical validation of the dead-zone model for longitudinal dispersion in rivers.”J. Hydr. Res., Delft, The Netherlands, 36(2), 269–280.
5.
Fischer, H. B. (1968a). “Dispersion predictions in natural streams.”J. Sanit. Engrg. Div., ASCE, 94(5), 927–944.
6.
Fischer, H. B. ( 1968b). “Method for predicting dispersion coefficients in natural streams, with applications to lower reaches of the Green and Duwamish Rivers, Washington.” Profl. Paper 582-A, U.S. Geological Survey, Washington, D.C.
7.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J., and Brooks, N. H. ( 1979). Mixing in inland and coastal waters, Academic, New York.
8.
Godfrey, R. G., and Frederick, B. J. ( 1970). “Stream dispersion at selected sites.” Profl. Paper 433-K, U.S. Geological Survey, Washington, D.C.
9.
Graf, B. ( 1995). “Observed and predicted velocity and longitudinal dispersion at steady and unsteady flow, Colorado River, Glen Canyon Dam to Lake Mead.” Water Resour. Bull., 31(2), 265–281.
10.
Hart, D. R. ( 1995). “Parameter estimation and stochastic interpolation of the transient storage model for solute transport in streams.” Water Resour. Res., 31(2), 323–328.
11.
Hays, J. R., Krenkel, P. A., Karl, B., and Schnelle, J. ( 1966). “Mass transport mechanisms in open-channel flow.” Tech. Rep. 8, Dept. of Civ. Engrg., Vanderbilt University, Nashville, Tenn.
12.
Huber, P. J. ( 1981). Robust statistic, Wiley, New York.
13.
Nordin, C. F., and Sabol, G. V. ( 1974). “Empirical data on longitudinal dispersion.” U.S. Geological Survey Water Resources Investigations 20-74, Washington, D.C.
14.
Nordin, C. F., and Troutman, B. M. ( 1980). “Longitudinal dispersion in rivers: The persistence of skewness in observed data.” Water Resour. Res., 16(1), 123–128.
15.
Okubo, A. ( 1973). “Effect of shoreline irregularities on streamwise dispersion in estuaries and other embayments.” Netherlands J. Sea Res., The Netherlands, 6(1), 213–224.
16.
Pedersen, F. B. ( 1977). “Prediction of longitudinal dispersion in natural streams.” Hydrodynamics and Hydr. Engrg. Ser. Paper No. 14, Technical University of Denmark, Lyngby, Denmark.
17.
Schmid, B. H. (1995). “On the transient storage equations for longitudinal solute transport in open channels: Temporal moments accounting for the effects of first-order decay.”J. Hydr. Res., Delft, The Netherlands, 33(5), 595–610.
18.
Seo, I. W. ( 1990). “Low flow mixing in open channels.” PhD thesis, Civ. Engrg. Dept., University of Illinois at Urbana–Champaign, Urbano, Ill.
19.
Seo, I. W., and Maxwell, W. H. C. (1992). “Modeling low-flow mixing through pools and riffles.”J. Hydr. Engrg., ASCE, 118(10), 1406–1423.
20.
Shacham, M. ( 1986). “Numerical solution of constrained nonlinear algebraic equations.” Int. J. Numer. Methods in Engrg., 23, 1455–1481.
21.
Taylor, G. I. ( 1954). “The dispersion of matter in turbulent flow through a pipe.” Proc., Royal Soc., London, 223A, 446–468.
22.
Thackston, E. L., and Schnelle, K. B. (1970). “Predicting effects of dead zones on stream mixing.”J. Sanit. Engrg. Div., ASCE, 96(2), 319–331.
23.
Tsai, Y. H., and Holley, E. R. ( 1979). “Temporal and spatial moments for longitudinal mixing in prismatic channels with storage in separation zones.” University of Illinois at Urbana–Champaign, Urbana, Ill.
24.
Wörman, A. ( 2000). “Comparison of models for transient storage of solutes in small streams.” Water Resour. Res., 36(2), 455–468.
25.
Yotsukura, N., Fischer, H. B., and Sayre, W. W. ( 1970). “Measurement of mixing characteristics of the Missouri River between Sioux City, Iowa and Plattsmouth, Nebraska.” Water Supply Paper 1899-G, U.S. Geological Survey.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 127Issue 6June 2001
Pages: 453 - 465

History

Received: Feb 22, 2000
Published online: Jun 1, 2001
Published in print: Jun 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Seoul Nat. Univ., Kwanak-Gu, Seoul 151-742, Korea. E-mail: [email protected]
Postdoctoral Res. Assoc., Dept. of Civ. Engrg., Seoul Nat. Univ., Kwanak-Gu, Seoul 151-742, Korea. E-mail: [email protected]

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