TECHNICAL PAPERS
May 15, 2003

Modeling Reservoir Irrigation in Uncertain Hydrologic Environment

Publication: Journal of Irrigation and Drainage Engineering
Volume 129, Issue 3

Abstract

In a detailed model for reservoir irrigation taking into account the soil moisture dynamics in the root zone of the crops, the data set for reservoir inflow and rainfall in the command will usually be of sufficient length to enable their variations to be described by probability distributions. However, the potential evapotranspiration of the crop itself depends on the characteristics of the crop and the reference evaporation, the quantification of both being associated with a high degree of uncertainty. The main purpose of this paper is to propose a mathematical programming model to determine the annual relative yield of crops and to determine its reliability, for a single reservoir meant for irrigation of multiple crops, incorporating variations in inflow, rainfall in the command area, and crop consumptive use. The inflow to the reservoir and rainfall in the reservoir command area are treated as random variables, whereas potential evapotranspiration is modeled as a fuzzy set. The model’s application is illustrated with reference to an existing single-reservoir system in Southern India.

Get full access to this article

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

References

Bellman, R. E., and Zadeh, L. A.(1970). “Decision making in a fuzzy environment.” Manage. Sci., 17(4), B141–B164.
Bogardi, I., Bardossy, A., and Duckstein, L.(1983). “Regional management of an aquifer for mining under fuzzy environmental objectives.” Water Resour. Res., 19(6), 1394–1402.
Doorenbos, J., and Kassam, A. H. (1979). “Yield response to water.” FAO Irrigation and Drainage Paper No. 33, Food and Agricultural Organization, Rome.
Dubois, D., and Prade, H. (1980). Fuzzy sets and systems: Theory and applications, Academic, New York.
Dudley, N. J.(1972). “Irrigation planning 4. Optimal interseasonal water allocation.” Water Resour. Res., 8(3), 586–594.
Dudley, N. J., and Burt, O. R.(1973). “Stochastic reservoir management and system design for irrigation.” Water Resour. Res., 9(3), 507–522.
Dudley, N. J., Howell, D. T., and Musgrave, W. F.(1971a). “Optimal intraseasonal irrigation water allocation.” Water Resour. Res., 7(4), 770–788.
Dudley, N. J., Howell, D. T., and Musgrave, W. F.(1971b). “Irrigation planning 2. Choosing optimal acreages within a season.” Water Resour. Res., 7(5), 1051–1063.
Dudley, N. J., Musgrave, W. F., and Howell, D. T.(1972). “Irrigation planning 3. The best size of irrigation area for a reservoir.” Water Resour. Res., 8(1), 7–17.
Dudley, N. J., Reklis, D. M., and Burt, O. R.(1976). “Reliability, trade-offs, and water resources development modeling with multiple crops.” Water Resour. Res., 12(6), 1101–1108.
Dudley, N. J., and Scott, B. W.(1993). “Integrating irrigation water demand, supply, and delivery management in a stochastic environment.” Water Resour. Res., 29(9), 3093–3101.
Fontane, D. G., Gates, T. K., and Moncada, E.(1997). “Planning reservoir operations with imprecise objectives.” J. Water Resour. Plan. Manage., 123(3), 154–162.
Jairaj, P. G. (1998). “Reservoir modelling by fuzzy mathematical programming.” PhD thesis, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India.
Kindler, J.(1992). “Rationalizing water requirements with aid of fuzzy allocation model.” J. Water Resour. Plan. Manage., 118(3), 308–323.
Klir, G. J., and Yuan, B. (1995). Fuzzy sets and fuzzy logic, theory and applications, Prentice-Hall, Englewood Cliffs, N.J.
Loucks, D. P., Stedinger, J. R., and Haith, D. H. (1981). Water resources systems planning and analysis, Prentice-Hall, Englewood Cliffs, N.J.
Mujumdar, P. P., and Ramesh, T. S. V.(1997). “Real-time reservoir operation for irrigation.” Water Resour. Res., 33(5), 1157–1164.
Mujumdar, P. P., and Ramesh, T. S. V.(1998). “A short-term reservoir operation model for multicrop irrigation.” Hydrol. Sci. J., 43(3), 479–494.
Nagesh Kumar, D. (1992). “Integrated modelling for optimal operation for irrigation.” PhD thesis, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India.
Owen, W. J., Gates, T. K., and Flug, M.(1997). “Variability in perceived satisfaction of reservoir management objectives.” J. Water Resour. Plan. Manage., 123(3), 147–153.
Russell, O. S., and Campbell, P. F.(1996). “Reservoir operating rules with fuzzy programming.” J. Water Resour. Plan. Manage., 122(3), 165–170.
Shrestha, B. P., Duckstein, L., and Stakhiv, E. Z.(1996). “Fuzzy rule based modelling of reservoir operation.” J. Water Resour. Plan. Manage., 122(4), 262–269.
Sreenivasan, K. R. (1994). “Reliability based reservoir irrigation of multiple crops.” MSc Engineering thesis, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India.
Vedula, S., and Mujumdar, P. P.(1992). “Optimal reservoir operation for irrigation of multiple crops.” Water Resour. Res., 28(1), 1–9.
Vedula, S., and Kumar, D. Nagesh(1996). “An integrated model for optimal reservoir operation for irrigation of multiple crops.” Water Resour. Res., 32(4), 1101–1108.
Yeh, W. W-G.(1985). “Reservoir management and operation models: A state-of-the-art review.” Water Resour. Res., 21(12), 1797–1818.
Zadeh, L. A.(1965). “Fuzzy sets.” Information and Control, 8, 338–353.
Zimmermann, H. J. (1991). Fuzzy set theory—and its application, Kluwer, Dordrecht, The Netherlands.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 129Issue 3June 2003
Pages: 164 - 172

History

Received: Sep 6, 2001
Accepted: Sep 3, 2002
Published online: May 15, 2003
Published in print: Jun 2003

Permissions

Request permissions for this article.

Authors

Affiliations

P. G. Jairaj
Assistant Professor, Dept. of Civil Engineering, Government Engineering College, Trivandrum, India.
S. Vedula
Professor Emeritus, Dept. of Civil Engineering, Indian Institute of Science, Bangalore, India.

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