Modeling Low Flows on the Cosumnes River
Publication: Journal of Hydrologic Engineering
Volume 9, Issue 2
Abstract
As a part of a study examining alternatives for flow augmentation for fall run Chinook salmon migration on the Cosumnes River, California, two models were constructed to simulate channel flow combined with seepage losses. The first model is a numerical, one-dimensional diffusion wave approximation of the St. Venant equations coupled to a seepage routine that uses either a Green and Ampt infiltration routine or a head-based seepage routine that can handle seepage to or from the channel. The second model uses an analytical solution to the diffusion wave approximation of the St. Venant equations and also incorporates the Green and Ampt method to represent losses due to seepage for the simulation of flow over a dry riverbed. The two models are used to simulate low flow periods in the Michigan Bar to McConnell reach of the Cosumnes River in order to determine flows associated with a minimum depth necessary for fall run Chinook salmon migration. These computed flows were compared against historical data in order to determine volumes of flow augmentation for the time period October through December which corresponds to the spawning period of fall run Chinook salmon. Computed flow augmentation volumes were compared with available reservoir storage in the watershed in order to determine if such flow augmentation would be possible. Both models proved capable of simulating low flow periods on the Cosumnes River. During dry years, the computed flow augmentation volumes represent a significant percentage of the available reservoir storage, indicating that augmentation flows may not always be possible for the entire time period from this source alone.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abramowitz, M., and Stegun, I. (1990). Handbook of mathematical functions, Dover, New York, 298.
Akan, A. O., and Yen, B. C.(1981). “Diffusion-wave flood routing in channel networks.” J. Hydraul. Div., 107(6), 719–732.
Anderson, M. (1993). “Development of a general diffusion wave routing routine.” MS thesis, University of California, Davis, Calif.
Bedient, P., and Huber, W. (1989). Hydrology and flood plain analysis, Addison-Wesley, Reading, Mass.
California Data Exchange Center (CDEC). (2001). 〈http://cdec.water.ca.gov/〉
California Department of Water Resources (CADWR). (1998). “The California water plan update.” Bulletin No. 160-98, Vol. 1, Sacramento, Calif.
Chen, Z., Govindaraju, R. S., and Kavvas, M. L.(1994). “Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields: 1. Development of models.” Water Resour. Res., 30(2), 523–533.
Constantine, C. R. (2001). “The effects of substrate variability and incision on the downstream fining pattern in the Cosumnes River, Central Valley, CA.” MS thesis, Univ. of California Davis, Calif.
DeLorme. (1995). Northern California Atlas and Gazetteer.
Dooge, J. C., Kundzwicz, Z. W., and Napiorkowski, J. P.(1983). “On backwater effects in linear diffusion flood routing.” Hydrol. Sci. J., 28(3), 391–402.
Drake, D. J., Tate, K. W., and Carlson, H.(2000). “Analysis shows climate-caused decreases in Scott River fall flows.” Calif. Agric., 54(6), 46–49.
El-Hames, A. S., and Richards, K. S.(1994). “Progress in arid-lands rainfall-runoff modeling.” Progr. Phys. Geogr., 18(3), 343–365.
El-Hames, A. S., and Richards, K. S.(1998). “An integrated, physically based model for arid region flash flood prediction capable of simulating dynamic transition loss.” Hydrolog. Process., 12, 1219–1232.
Fleckenstein, J., Suzuki, E., and Fogg, G. E. (2001). “Options for conjunctive water management to restore fall flows in the Cosumnes River basin, California.” Integrated water resources management, M. A. Mariño and S. P. Simonovic, eds., International Association of Hydrologic Sciences Publication No. 272, Wallingford, Oxfordshire, U.K. 175–182.
Gonwa, W. S., and Kavvas, M. L.(1986). “A modified diffusion wave equation for flood propagation in trapezoidal channels.” J. Hydrol., 83, 119–136.
Govindaraju, R. S., Jones, S. E., and Kavvas, M. L.(1988). “On the diffusion wave modeling for overland flow, 1. Solution for steep slopes.” Water Resour. Res., 24(5), 734–744.
Hayami, S. (1951). “On the propagation of flood waves.” Bulletin of the Disaster Prevention Research Institute No. 1, Kyoto University, Kyoto, Japan.
Ligget, J. A., and Woolhiser, D.(1967). “Difference solutions of the shallow-water equation.” J. Eng. Mech. Div., 93(2), 39–71.
Mount, J., Fogg, G., Kavvas, L., Fleckenstein, J., Anderson, M., Chen, Z.-Q., and Suzuki, E. (2001). “Linked surface water–groundwater model for the Cosumnes River watershed: Hydrologic evaluation of management options to restore fall flows.” Rep. to the U.S. Fish and Wildlife Service Anadromous Fish Restoration Program.
Perkins, S., and Koussis, A. D.(1996). “Stream-aquifer interaction model with diffusive wave routing.” J. Hydraul. Eng., 122(4), 210–218.
Ponce, V.(1990). “Generalized diffusion wave equation with intertial effects.” Water Resour. Res., 26(5), 1099–1101.
Ponce, V., Li, R., and Simmons, D.(1978). “Applicability of kinematic and diffusion models.” J. Hydraul. Eng., 104(3), 353–361.
Rao, C. X., and Maurer, E. P.(1996). “A simplified model for predicting daily transmission losses in a stream channel.” Water Resour. Bull., 32(6), 1139–1146.
Roberson, J., Cassidy, J., and Chaudhry, M. (1988). Hydraulic engineering, Houghton-Mifflin, Boston.
Roberson, J., and Crowe, C. (1985). Engineering fluid mechanics, 3rd Ed., Houghton-Mifflin, Boston, 388.
Singh, V. P., Wang, G.-T., and Adrian, D. D.(1997). “Flood routing based on diffusion wave equation using mixing cell method.” Hydrolog. Process., 11, 1881–1894.
Strelkoff, T.(1970). “Numerical solution of Saint Venant equations.” J. Hydraul. Div., 96(1), 225–252.
The Nature Conservancy (TNC). (1997). “Alternatives for reestablishing fall attraction flows for Chinook salmon on the Cosumnes River.” Internal memo.
U.S. Fish and Wildlife Service (USFWS). (1995). “Draft anadromous fish restoration plan: A plan to increase natural production of anadromous fish in the Central Valley of California.” Sacramento, Calif.
U.S. Geological Survey (USGS). (2001). 〈http://waterdata.usgs.gov/nwis-w/CA/〉.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 9 • Issue 2 • March 2004
Pages: 126 - 134
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Sep 10, 2002
Accepted: Jun 12, 2003
Published online: Feb 19, 2004
Published in print: Mar 2004
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.