TECHNICAL PAPERS
Jun 15, 2004

Simplification in Longitudinal Transport Modeling: Case of Instantaneous Slug Releases

Publication: Journal of Hydrologic Engineering
Volume 9, Issue 4

Abstract

Tracer experiments are widely used tools in field studies on solute transport in streams. In addition, numerous injections are carried out each year as part of the so-called salt dilution technique of stream gauging, producing a large body of data (in principle) available for analysis, and most of these latter experiments are instantaneous slug releases. Interpretation of the observed breakthrough curves is often done with the aid of either the transient storage (TS) or the advection-dispersion (AD) model, the latter being a subset or simplification of the former. The work reported here aimed at the development of a criterion to determine when the use of the TS model is required to explain a given breakthrough curve and in what circumstances the AD model can be expected to produce comparable results. The transient storage (TS) or dead zone model was solved for 216 parameter combinations, believed to cover a large portion of the situations possibly encountered in practice. The advection-dispersion (AD) model was then calibrated to reproduce the TS breakthrough curves as closely as possible. The outcome was judged to determine whether a particular breakthrough curve was unique to the TS model or could have been produced by the AD model as well. Criteria in terms of Damköhler index, DaI, and skewness coefficient, Gt, have been derived, and an application to a real world case is given. Use of an artificial neural network to improve the “diagnostics” is demonstrated.

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-and-riffle stream: a transient storage model.” Water Resour. Res., 19(3), 718–724.
Bowden, G. J., Maier, H. R., and Dandy, G. C.(2002). “Optimal division of data for neural network models in water resources applications.” Water Resour. Res., 38(2), 2-1–2-11.
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.” Water Resources Investigations Rep. 92-4081, U.S. Geological Survey, Denver.
Forsman, K. J. (2000). “Contaminant transport in non-uniform streams and streambeds.” PhD thesis, Uppsala Univ., Uppsala, Sweden.
Gupta, A., and Cvetkovic, V.(2000). “Temporal moment analysis of tracer discharge in streams: combined effect of physicochemical mass transfer and morphology.” Water Resour. Res., 36(10), 2985–2997.
Hart, D. R.(1995). “Parameter estimation and stochastic interpretation of the transient storage model for solute transport in streams.” Water Resour. Res., 31(2), 323–328.
Harvey, J. W., and Wagner, B. J. (2000). “Quantifying hydrologic interactions between streams and their subsurface hyporheic zones.” Streams and ground waters, J. A. Jones and P. J. Mulholland, eds., Academic, San Diego, 3–44.
Harvey, J. W., Wagner, B. J., and Bencala, K. E.(1996). “Evaluating the reliability of the stream tracer approach to characterize stream-subsurface water exchange.” Water Resour. Res., 32(8), 2441–2451.
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.
Rutherford, J. C. (1994). River mixing, Wiley, Chichester, U.K.
Schmid, B. H.(1995). “On the transient storage equations for longitudinal solute transport in open channels: temporal moments accounting for the effect of first-order decay.” J. Hydraul. Res., 33(5), 595–610.
Schmid, B. H. (1997). “Analytic solution of the transient storage equations accounting for solute decay.” Environmental and Coastal Hydraulics: Protecting the Aquatic Habitat; Proc., Theme B, International Association for Hydraulic Research, Delft, The Netherlands, 1, 15–20.
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.
Tritthart, M. (2002). “Lösung der Totzonengleichungen mit der Software ‘analyt’ [Solution of the transient storage equations by ‘analyt’].” Rep., Institut für Hydraulik, Gewässerkunde, und Wasserwirtschaft der Technischen Universität Wien, Vienna, Austria.
Wagner, B. J., and Harvey, J. W.(1997). “Experimental design for estimating parameters of rate-limited mass transfer: analysis of stream tracer studies.” Water Resour. Res., 33(7), 1731–1741.
Wörman, A.(1998). “Analytical solution and timescale for transport of reacting solutes in rivers and streams.” Water Resour. Res., 34(10), 2703–2716.
Wörman, A.(2000). “Comparison of models for transient storage of solutes in small streams.” Water Resour. Res., 36(2), 455–468.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 9Issue 4July 2004
Pages: 319 - 324

History

Received: Jan 13, 2003
Accepted: Nov 26, 2003
Published online: Jun 15, 2004
Published in print: Jul 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Bernhard H. Schmid, M.ASCE
Institut für Hydraulik, Gewässerkunde, und Wasserwirtschaft, Technische Universität Wien, c/o Vegagasse 16, A-1190 Vienna, Austria.

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