Treatment of Stagnant Zones in Riverine Advection-Dispersion
Publication: Journal of Hydraulic Engineering
Volume 129, Issue 6
Abstract
Advection-dispersion in streams encounters pockets of stagnant or dead zones in the flow, which trap the injected tracer. Treatment of stagnant or dead zones for dispersion is presented using one-dimensional advection-dispersion equation. A method is suggested for simultaneous estimation of dispersion coefficient, apparent (or effective) velocity, and effective injected mass of tracer, from a temporal concentration profile observed at a downstream section. The method is robust and uses a nonlinear optimization. Using the method procedure for estimation of adsorption coefficient for riverine advection-dispersion has also been suggested. The effective velocity is related to the stagnant zone fraction (average fraction of cross-sectional area attributed to stagnant zones) and adsorption. The application of the method on published data sets show that the parameter-estimates are reliable and the observed concentration profiles are closely reproduced. The analytical procedure described for the treatment of stagnant zones may have a wide application in civil engineering as well as other fields. The amount of chemicals released from the industrial units or by an accident can be estimated.
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References
Bansal, M. K.(1971). “Dispersion in natural streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 97(11), 1867–1886.
Beer, T., and Young, P. C.(1983). “Longitudinal dispersion in natural streams.” J. Environ. Eng. Div., Am. Soc. Civ. Eng., 109(5), 1049–1067.
Fischer, H. B.(1967). “The mechanics of dispersion in natural streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 93(6), 187–216.
Liu, H.(1980). “Modified Fickian model for predicting dispersion.” J. Hydraul. Div., Am. Soc. Civ. Eng., 106(6), 1021–1040.
Marquardt, D. W.(1963). “An algorithm for least square estimation of nonlinear parameters.” J. Soc. Ind. Appl. Math., 11, 431–441.
McQuivey, R. S., and Keefer, T. N.(1976). “Convective model of longitudinal dispersion.” J. Hydraul. Div., Am. Soc. Civ. Eng., 102(10), 1409–1424.
Seo, W. I., 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.(2001). “Identifying impervious boundary and aquifer parameters from pump-test data.” J. Hydraul. Eng., 127(4), 280–285.
Singh, S. K.(2002). “Discussion of ‘A 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.
Stefan, H. G., and Demetrapolous, A. C.(1981). “Cell-in-series simulation of riverine transport.” J. Hydraul. Div., Am. Soc. Civ. Eng., 107(6), 675–697.
Thackston, E. L., and Schnelle, K. B.(1970). “Predicting effects of dead zones on stream mixing.” J. Sanit. Eng. Div., Am. Soc. Civ. Eng., 96(2), 319–331.
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, 1989 G, U.S. Geological Survey, Reston, Va.
Young, P. C., and Beck, B.(1974). “The modelling and control of water quality in a river system.” Autometica, 10, 455–468.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Jan 29, 2002
Accepted: Dec 16, 2002
Published online: May 15, 2003
Published in print: Jun 2003
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