TECHNICAL PAPERS
Nov 1, 2004

Hydrodynamic Dispersive and Advective Processes in Watershed Responses

Publication: Journal of Hydrologic Engineering
Volume 9, Issue 6

Abstract

A model for estimating the watershed response is presented and used for assessing how the watershed size and spatial variability of the hydrodynamic parameters (i.e., wave celerity and dispersion coefficient) affect the comparative importance of advective processes with respect to hydrodynamic dispersive processes. A parameter Ω was defined to quantify this comparative importance. This parameter represents the fraction of the watershed response variance that is explained by advection. A series of simulations were performed for basins of different sizes and different spatial distributions of their hydrologic parameters. It was found that, for spatially uniform hydrodynamic parameters, the effect of hydrodynamic dispersion decreases compared to that of advection as the watershed size increases, and vice versa; and that, for nonuniform hydrodynamic parameters, the spatial distribution of the parameter values over the watershed, in conjunction with the watershed size, determines which process—advection or hydrodynamic dispersion—prevails.

Get full access to this article

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

References

1.
Beven, K., and Wood, E.F. ( 1993). “Flow routing and the hydrological response of channel networks.” Channel network hydrology, Wiley, New York, 99–128.
2.
Botter, G., and Rinaldo, A. (2003). “Scale effect on geomorphologic and kinematic dispersion.” Water Resour. Res., 39(10), 6.1–6.10.
3.
DeGroot, M.H. ( 1986). Probability and statistics, Addison–Wesley, Reading, Mass.
4.
Deng, Z. Q., Singh, V. P., and Bengtsson, L. (2001). “Longitudinal dispersion coefficient in straight rivers.” J. Hydrologic Eng., 127(11), 919–927.
5.
D’Odorico, P., and Rigon, R. (2003). “Hillslope and channel contributions to the hydrologic response.” Water Resour. Res., 39(5), 1–9.
6.
Dooge, J.C. I. ( 2003). Linear theory of hydrologic systems, EGU Reprints Series, 1, European Geosciences Union.
7.
Fisher, H., List, J., Koh, R., Imberger, J., and Brooks, N. ( 1979). Mixing in inland and coastal waters, Academic, New York.
8.
Gesch, D. B., Verdin, K. L., and Greenlee, S. K. (1999). “New land surface digital elevation model covers the Earth.” EOS Trans. Am. Geophys. Union, 80(6), 69–70.
9.
Gupta, V. K., Waymire, E., and Wang, C. T. (1980). “A representation of an instantaneous unit hydrograph from geomorphology.” Water Resour. Res., 16(5), 855–862.
10.
Gupta, V. K., and Waymire, E. C. (1983). “On the formulation of an analytical approach to hydrologic response and similarity at the basin scale.” J. Hydrol., 65, 95–123.
11.
Jensen, S. K., and Domingue, J. O. (1988). “Extracting topographic structure from digital elevation data for geographic information system analysis.” Photogramm. Eng. Remote Sens., 54(11), 1593–1600.
12.
Kirkby, M. J. (1976). “Tests of a random network model and its application to basin hydrology.” Earth Surf. Processes, 1, 197–212.
13.
Lettenmaier D., and Wood, E. ( 1993). “Chap. 26: Hydrologic forecast.” Handbook of Hydrology, D. Maidment, ed., McGraw–Hill, New York.
14.
Maidment, D., Olivera, F., Calver, A., Eatherall, A., and Fraczek, W. (1996). “A unit hydrograph derived from a spatially distributed velocity field.” Hydrolog. Process., 10(6), 831–844.
15.
Mesa, O.J., and Mifflin, E.R. ( 1986). “On the relative role of hillslope and network geometry in hydrologic response.” Scale problems in hydrology, V. K. Gupta, I. Rodriguez-Iturbe, and E. F. Wood, eds., D. Reidel Publishing Co., Dordrecht, The Netherlands.
16.
Miller, W., and Cunge, J. ( 1975). “Chap. 5: Simplified equations of unsteady flow.” Unsteady flow in open channels, Vol. 1, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Fort Collins, Colo.
17.
Naden, P. S. (1992). “Spatial variability in flood estimation for large catchments: The exploitation of channel network structure.” J. Hydrol. Sci., 37(1), 53–71.
18.
Nauman, E. B. (1981). “Residence time distributions in systems governed by the dispersion equations.” Chem. Eng. Sci., 36, 957–966.
19.
Olivera, F., and Maidment, D. (1999). “Geographic information systems (GIS)-based spatially distributed model for runoff routing.” Water Resour. Res., 35(4), 1155–1164.
20.
Olivera, F., Famiglietti, J., and Asante, K. (2000). “Global-scale flow routing using a source-to-sink model.” Water Resour. Res., 36(8), 2197–2207.
21.
Revenga, C., Murray, S., Abramowitz, J., and Hammond, A. ( 1998). Watersheds of the world, Water Resources Institute and Worldwatch Institute, Washington, D.C.
22.
Rinaldo, A., Marani, A., and Rigon, R. (1991). “Geomorphological dispersion.” Water Resour. Res., 27(4), 513–525.
23.
Rinaldo, A., Vogel, G., Rigon, R., and Rodriguez-Iturbe, I. (1995). “Can one gauge the shape of a basin?” Water Resour. Res., 31(4), 1119–1127.
24.
Robinson, J. S., Sivapalan, M., and Snell, J. D. (1995). “On the relative roles of hillslope processes, channel routing, and network geomorphology in the hydrologic response of natural catchments.” Water Resour. Res., 31(12), 3089–3101.
36.
Rodriguez-Iturbe, I., and Rinaldo, A. ( 1997). Fractal river basins—Chance and self-organization, Cambridge University Press, Cambridge, U.K.
25.
Rodriguez-Iturbe, I., and Valdes, J. B. (1979). “The geomorphologic structure of hydrologic response.” Water Resour. Res., 15(6), 1409–1420.
26.
Saco, P. M., and Kumar, P. (2002a). “Kinematic dispersion in stream networks. I: Coupling hydraulic and network geometry.” Water Resour. Res., 38(11), 26.1–26.14.
27.
Saco, P. M., and Kumar, P. (2002b). “Kinematic dispersion in stream networks. II: Scale issues and self-similar network organization.” Water Resour. Res., 38(11), 27.1–27.15.
28.
Sherman, L. K. (1932). “Streamflow from rainfall by the unit-graph method.” Eng. News-Rec., 108, 501–505.
29.
Snell, J., and Sivapalan, M. (1994). “On geomorphological dispersion in natural catchments and the geomorphological unit hydrograph.” Water Resour. Res., 30(7), 2311–2323.
30.
Strahler, A.N. ( 1964). “Sec. 4-II: Quantitative geomorphology of drainage basins and channel networks.” Handbook of applied hydrology, V. T. Chow, ed., McGraw–Hill, New York, 39–76.
31.
Troch, P. A., Smith, J. A., Wood, E. F., and de Troch, F. P. (1994). “Hydrologic controls of large floods in a small basin.” J. Hydrol., 156, 285–309.
32.
Troutman, B. M., and Karlinger, M. R. (1985). “Unit hydrograph approximation assuming linear flow through topologically random channel networks.” Water Resour. Res., 21(5), 743–754.
33.
van der Tak, L. D., and Bras, R. L. (1990). “Incorporating hillslope effects into the geomorphological instantaneous unit hydrograph.” Water Resour. Res., 26(10), 2393–2400.
34.
Wang, C. T., Gupta, V. K., and Waymire, E. (1981). “A geomorphological synthesis of nonlinearity in surface runoff.” Water Resour. Res., 17(3), 545–554.
35.
Wooding, R. A. (1995). “A hydraulic model for the catchment-stream problem. II: Numerical solutions.” J. Hydrol., 3, 268–282.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 9Issue 6November 2004
Pages: 534 - 543

History

Published online: Nov 1, 2004
Published in print: Nov 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Francisco Olivera, P.E., M.ASCE
Assistant Professor of Civil Engineering, Texas A&M Univ., 3136 TAMU, College Station, TX 77843-3136. E-mail: [email protected]
Srikanth Koka
Graduate Research Assistant of Civil Engineering, Texas A&M Univ., 3136 TAMU, College Station, TX 77843-3136. 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