Comparing Three Models for Treatment of Stagnant Zones in Riverine Transport
Publication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 6
Abstract
The modified advection dispersion equation (MADE) model is compared to the transient storage model (TSM) and fractional advection dispersion equation (FRADE) model for modeling riverine transport. The comparisons are illustrated using field examples. The parameter of the FRADE model is found to be inconsistent to its physical meaning and is unrelated to dead zone fraction. Also, the estimated parameters of TSM are found to be inconsistent to their physical meaning. On the contrary, the parameters of MADE are consistent and related to the dead zone fraction. It is observed that the MADE model is easy to use and yields reliable and consistent results.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bencala, K. E., and Walters, R. A. (1983). “Simulation of solute transport in a mountain pool-riffle stream: A transient storage model.” Water Resour. Res., 19(3), 718–724.
Chatwin, P. C. (1980). “Presentation of longitudinal dispersion data.” J. Hydr. Div., 106(1), 71–83.
Cheong, T. S., and Seo, I. W. (2003). “Parameter estimation of the transient storage model by a routing method for river mixing processes.” Water Resour. Res., 39(4), 1074.
Deng, Z.-Q., Singh, V. P., and Bengtsson, L. (2004). “Numerical solution of fractional advection-dispersion equation.” J. Hydraul. Eng., 130(5), 422–431.
Hunt, B. (2006). “Asymptotic solutions for one-dimensional dispersion in rivers.” J. Hydraul. Eng., 132(1), 87–93.
Liu, H. (1980). “Modified Fickian model for predicting dispersion.” J. Hydr. Div., 106(6), 1021–1040.
Pedersen, F. B. (1977). “Prediction of longitudinal dispersion in natural streams.” Hydrodyn. Hydraul. Eng. Ser., Paper No. 14, Technical Univ. of Denmark, Lyngby, Denmark.
Sabol, G. V., and Nordin, C. F. (1978). “Dispersion in rivers as related to storage zones.” J. Hydr. Div., 104(5), 695–708.
Seo, I. W., and Cheong, T. S. (2001). “Moment based calculation of parameters for the storage zone model for river dispersion.” J. Hydraul. Eng., 127(6), 453–465.
Singh, S. K. (2002). “Discussion of ‘Moment-based calculation of parameters for the storage zone model for river dispersion’ by Il Won Seo and Tae Sung Cheong.” J. Hydraul. Eng., 128(11), 1032–1033.
Singh, S. K. (2003). “Treatment of stagnant zones in riverine advection dispersion.” J. Hydraul. Eng., 129(6), 670–673.
Singh, S. K. (2008). “Discussion of ‘Asymptotic solutions for one-dimensional dispersion in rivers’ by Bruce Hunt.” J. Hydraul. Eng., 134(6), 869–869.
Thackston, E. L., and Schnelle, K. B. J. (1970). “Predicting effects of dead zones on stream mixing.” J. Hydr. Div., 96(2), 319–331.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: May 2, 2007
Accepted: Jan 8, 2008
Published online: Dec 1, 2008
Published in print: Dec 2008
Authors
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.