TECHNICAL NOTES
Aug 1, 2007

Measuring the Dispersion Coefficient with Acoustic Doppler Current Profilers

Publication: Journal of Hydraulic Engineering
Volume 133, Issue 8

Abstract

A method is evaluated for estimating the longitudinal dispersion coefficient K from velocities and bathymetry measured with an acoustic Doppler current profiler (ADCP). If shear dispersion controls the mixing, the dispersion coefficient can be estimated from measurements of velocity and depth in a cross section. The dispersion coefficient has typically been measured by costly and time-consuming tracer studies because the velocity field could not be resolved sufficiently before the flow changed. However, ADCP transects, which now are routinely used to measure discharge, provide detailed velocity and bathymetry data quickly. The dispersion coefficient is estimated from ADCP measurements from the United States Geological Survey and compared with estimates from dye studies. Half of the estimates of K fall within 50% of the values from tracer studies, and 85% are within a factor of 3. The ADCP method is at least as accurate as the best empirical formula considered. Both the comparison of field data and an analysis with theoretical velocity profiles suggest that the error in K will be largest when the velocity profile is nearly uniform.

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Acknowledgments

The writers thank Kevin Oberg and David Mueller of the USGS Hydroacoustics Work Group for their advice and suggestions and the following people at USGS District Offices for their assistance in obtaining data: Rick Crowfoot, Bob Boulger, and Paul Diaz Jr. (Colorado); Von Miller (Iowa); Kevin Johnson (Illinois); Brian Loving (Kansas); Michael J. Anderson (Nebraska); John Nantz (Pennsylvania); and Fred Brogan (West Virginia).

References

Appel, D. H., and Moles, S. B. (1987). “Traveltime and dispersion in the New River, Hinton to Gauley Bridge, West Virginia.” Water Resources Investigations Rep. No. 87-4012, U.S. Geological Survey, Charleston, W.Va.
Bauer, D. P., Rathbun, R. E., and Lowham, H. W. (1979). “Traveltime, unit-concentration, longitudinal dispersion and reaeration characteristics of upstream reaches of the Yampa and Little Snake Rivers, Colorado and Wyoming.” Water Resources Investigations Rep. No. 78-122, U.S. Geological Survey, Lakewood, Colo.
Bogle, G. V. (1997). “Stream velocity profiles and longitudinal dispersion.” J. Hydraul. Eng., 123(9), 816–820.
Chen, C.-L. (1992). “Power law of flow resistance in open channels: Manning’s formula revisited.” Channel flow resistance, B. C. Yen, ed., Water Resources Publications, Littleton, Colo., 206–240.
Deng, Z.-Q., Singh, V. P., and Bengtsson, L. (2001). “Longitudinal dispersion coefficient in straight rivers.” J. Hydraul. Eng., 127(11), 919–927.
Elder, J. W. (1959). “The dispersion of marked fluid in turbulent shear flow.” J. Fluid Mech., 5(4), 544–560.
Fischer, H. B. (1967). “The mechanics of dispersion in natural streams.” J. Hydr. Div., 93(6), 187–216.
Fischer, H. B. (1969). “The effect of bends on dispersion in streams.” Water Resour. Res., 5(2), 496–506.
Fischer, H. B. (1975). “Discussion of ‘Simple method for predicting dispersion in streams’.” J. Envir. Engrg. Div., 101(3), 453–455.
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.
Graf, J. B. (1986). “Traveltime and longitudinal dispersion in Illinois streams.” Water-Supply Paper No. 2269, U.S. Geological Survey, Washington, D.C.
Iwasa, Y., and Aya, S. (1991). “Predicting longitudinal dispersion coefficient in open-channel flows.” Proc., Int. Symp. on Environmental Hydraulics, J. H. W. Lee and Y. K. Cheung, eds., Rotterdam, The Netherlands, 505–510.
Jobson, H. E. (1997). “Predicting travel time and dispersion in rivers and streams.” J. Hydraul. Eng., 123(11), 971–978.
Kundu, P. K., and Cohen, I. M. (2004). Fluid mechanics, Elsevier, San Diego.
Petri, L. R. (1984). “Time-of-travel for Nebraska streams, 1968 to 1977.” Open-File Rep. No. 84-602, U.S. Geological Survey, Lincoln, Neb.
Ruddy, B. C., and Britton, L. J. (1989). “Traveltime and reaeration of selected streams in the North Platte and Yampa River Basins, Colorado.” Water Resources Investigations Rep. No. 88-4205, U.S. Geological Survey, Denver.
Rutherford, J. C. (1994). River mixing, Wiley, Chichester, U.K.
Seo, I. W., and Baek, K. O. (2004). “Estimation of the longitudinal dispersion coefficient using the velocity profile in natural streams.” J. Hydraul. Eng., 130(3), 227–236.
Seo, I. W., and Cheong, T. S. (1998). “Predicting longitudinal dispersion coefficient in natural streams.” J. Hydraul. Eng., 124(1), 25–32.
Sooky, A. A. (1969). “Longitudinal dispersion in open channels.” J. Hydr. Div., 95(4), 1327–1346.
U.S. Geological Survey. (2005). “NWISWeb data for the nation.” ⟨http://waterdata.usgs.gov/nwis⟩ (Feb. 2005).
Wiley, J. B. (1993). “Traveltime and dispersion data, including discharge and water-surface elevation, Kanawha River, West Virginia, 1991.” Open-File Rep. No. 93-121, U.S. Geological Survey, Charleston, W.Va.
Wiley, J. B. (1997). “Traveltime and dispersion data, including associated discharge and water-surface elevation data, for the Upper Ohio River, Pennsylvania, Ohio, and West Virginia; October through November 1991.” Open-File Rep. No. 97-562, U.S. Geological Survey, Charleston, W.Va.
Yorke, T. H., and Oberg, K. A. (2002). “Measuring river velocity and discharge with acoustic Doppler profilers.” Flow Meas. Instrum., 13(5–6), 191–195.
Yotsukura, N., Fisher, 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 No. 1899-G, U.S. Geological Survey, Washington, D.C.
Zuehls, E. E. (1987). “Traveltime and dispersion in the Illinois River, Marseilles to Peoria, Illinois.” Water Resources Investigations Rep. No. 87-4106, U.S. Geological Survey, Urbana, Ill.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 133Issue 8August 2007
Pages: 977 - 982

History

Received: Jul 18, 2005
Accepted: Dec 28, 2006
Published online: Aug 1, 2007
Published in print: Aug 2007

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Authors

Affiliations

Meredith L. Carr
Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana–Champaign, 205 N. Mathews Ave., 2524 Hydrosystems Laboratory, Urbana, IL 61801. E-mail: [email protected]
Chris R. Rehmann, M.ASCE
Assistant Professor, Dept. of Civil, Construction, and Environmental Engineering, Iowa State Univ., 374 Town Engineering Building, Ames, IA 50011. E-mail: [email protected]

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