TECHNICAL PAPERS
Mar 1, 1988

Joint Reservoir and Aqueduct Design and Operation

Publication: Journal of Water Resources Planning and Management
Volume 114, Issue 2

Abstract

Numerical quadrature methods are used to solve the integral equations for steady‐state reservoir‐storage density functions. The resulting approximations are used in a variety of problems with particular emphasis on the joint optimization of the design and operation of reservoirs and water delivery systems. Basic examples, to illustrate the use of the methods, expose several interesting economic tradeoffs present in reservoir operation, and factors affecting these tradeoffs are characterized and categorized. More involved examples show the interdependence of target deliveries, delivery capacities, and the probabilistic nature of the water supplies in joint optimization problems. The continuous approximations from the quadrature methods are used in nonlinear optimization programs, jointly with a probabilistic delivery system model, to determine the partition of storage between interyearly and intrayearly uses to maximize the expected benefits from the corresponding optimally designed and operated delivery system.

Get full access to this article

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

References

1.
Abramowitz, M., and Stegun, I. A. (1968). Handbook of mathematical functions. National Bureau of Standards, Applied Mathematics Series, No. 55, Government Printing Office, Washington, D.C.
2.
Atkinson, K. E. (1976). A survey of numerical methods for the solution of Fredholm integral equations of the second kind. Society for Industrial and Applied Mathematics, Philadelphia, Pa.
3.
Bogle, M. G. V., and O'Sullivan, M. J. (1979). “Stochastic optimization of a water supply system.” Water Resour. Res., 15(4), 778–786.
4.
Delves, L. M., and Mohamed, J. L. (1985). Computational methods for integral equations. Cambridge University Press, New York, N.Y.
5.
Dudley, N. J. (1972). “Irrigation planning 4: optimal interseasonal water allocation.” Water Resour. Res., 8(3), 586–594.
6.
Dudley, N. J., and Burt, O. R. (1973). “Stochastic reservoir management and system design for irrigation.” Water Resour. Res., 9(3), 507–522.
7.
Flynn, L. E., and Marino, M. A. (1987). “Optimal aqueduct capacity and distribution policy: continuous approach.” J. Water Res. Plng. Mgmt., ASCE, 113(4), 533–549.
8.
Fleming, D. E., Hanson, R. K., and Labadie, J. W. (1983). “Integrated sizing of water storage and conveyance.” J. Water Res. Plng. Mgmt. Div., ASCE 109(1), 94–111.
9.
Guariso, G., et al. (1981). “Supply‐demand coordination in water resources management.” Water Resour. Res., 17(4), 776–782.
10.
Karamouz, M., and Houck, M. H. (1982). “Annual and monthly operating rules generated by deterministic optimization.” Water Resour. Res., 18(5), 1337–1344.
11.
Kite, G. W. (1977). Frequency and risk analysis in hydrology. Water Resources Publications, Fort Collins, Colo.
12.
Loucks, D. P., and Dorfman, P. J. (1975). “An evaluation of some linear decision rules in chance‐constrained models for reservoir planning and operation.” Water Resour. Res., 11(6), 777–782.
13.
Lyon, K. S. (1983). “The effect of a change in the variability of irrigation water.” Water Resour. Res., 19(5), 1122–1126.
14.
Mariño, M. A., and Flynn, L. E. (1987). “Optimal aqueduct capacity and distribution policy: discrete approach.” J. Water Res. Plng. Mgmt., ASCE, 113(4), 550–562.
15.
Mariño, M. A., and Loaiciga, H. A. (1985). “Quadratic model for reservoir management: application to the central valley project.” Water Resour. Res., 21(5), 631–641.
16.
Moran, P. A. P. (1959). Theory of storage. John Wiley and Sons, New York, N.Y.
17.
Muspratt, M. A. (1971). “Optimal distribution of water to irrigation canals,” J. Hydrology, 14, 19–28.
18.
Prabhu, N. U. (1964). Time dependent results in storage theory. Meuthen and Co., Ltd., London, U.K.
19.
Sathaye, J., and Hall, W. A. (1976). “Optimization of design capacity of an aqueduct.” J. Irrig. Drain. Div., ASCE, 102(3), 295–305.
20.
A stochastic hydrology model for water resources planning for California. (1984). The Resource Agency, California Dept. of Water Resources, Div. of Planning, Sacramento, Calif.
21.
Yakowitz, S. (1982). “Dynamic programming applications in water resources.” Water Resour. Res., 18(4), 673–696.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 114Issue 2March 1988
Pages: 179 - 196

History

Published online: Mar 1, 1988
Published in print: Mar 1988

Permissions

Request permissions for this article.

Authors

Affiliations

Lawrence E. Flynn, S. M. ASCE
Res. Asst., Dept. of Land, Air, and Water Resour., Univ. of California, Davis, CA 95616
Miguel A. Marino, M. ASCE
Prof. of Water Sci. and Civ. Engrg., Univ. of California, Davis, CA 95616

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