Optimal Irrigation Delivery System Design under Uncertainty
Publication: Journal of Irrigation and Drainage Engineering
Volume 118, Issue 3
Abstract
The effects of various types of uncertainty in the design of hydraulic structures in an open‐channel system for irrigation water delivery are investigated. Uncertainty due to ambiguity in the values of system physical and management characteristics is addressed by modeling selected parameters (temporally varying water‐supply level; spatially varying canal geometry, bed slope and hydraulic resistance; and spatially and temporally varying irrigation demand and irrigation patterns) as stochastic processes. Vagueness in the specification of system performance objectives (adequacy, efficiency, dependability, and equity) is modeled using postulated fuzzy set membership functions. An optimal design criterion is formulated that incorporates quantitative measures of water delivery system performance. Two design objectives, high technical performance and low cost, are considered in a simple illustrative example. A model of spatially varied flow in an open channel delivering water to farm turnouts is used to analyze design scenarios under two different operating schemes. Monte Carlo simulation allows analysis of system behavior in a stochastic setting. Response surface methodology is used to derive optimal design solutions for sizing of diversion and regulating structures. Implications for design and analysis of large‐scale delivery networks in an uncertain environment are discussed.
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References
1.
Colorni, A., and Fronza, G. (1976). “Reservoir management via reliability programming.” Water Resour. Res., 12(1), 85–88.
2.
Freeze, R. A. (1975). “A stochastic‐conceptual analysis of one‐dimensional groundwater flow in nonuniform homogeneous media.” Water Resour. Res., 11(5), 725–741.
3.
French, R. H. (1985). Open‐channel hydraulics. McGraw‐Hill, New York, N.Y.
4.
Dagan, G. (1982). “Analysis of flow through heterogeneous random aquifers, 2. Unsteady flow in confined formations.” Water Resour. Res., 18(5), 1571–1585.
5.
Dagan, G. (1986). “Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale.” Water Resour. Res., 22(9), 1205–1345.
6.
Gates, T. K., Molden, D. J., Ree, W. O., Helal, M., and Nasr, A. (1984). “Hydraulic design model for canal systems.” Proc. of the 2nd Nat. Conf. on Microcomputers in Civ. Engrg., Univ. of Central Florida, Orlando, Fla.
7.
Gates, T. K., Heyder, W. E., Fontane, D. G., and Salas, J. D. (1991). “Multicriterion strategic planning for irrigation delivery improvement. I: Approach.” J. Irrig. and Drain. Engrg., ASCE, 117(5), 897–913.
8.
Gupta, R. K., and Chauhan, H. S. (1986). “Stochastic modeling of irrigation water requirements.” J. Irrig. and Drain. Engrg., ASCE, 112(1), 65–76.
9.
“Irrigation water requirements.” (1970). Tech. Release No. 21, U.S. Dept. of Agric. (USDA), Soil Conserv. Service.
10.
Karlsson, M., and Yakowitz, S. (1987). “Rainfall‐runoff forecasting methods, old and new.” Stochastic Hydro. and Hydr., 1, 303–318.
11.
Kavvas, M. L., and Herd, K. R. (1985). “A radar‐based stochastic model for short‐time‐increment rainfall.” Water Resour. Res., 21(9), 1437–1455.
12.
Kavvas, M. L., Saquib, M. N., and Puri, P. S. (1987). “On a stochastic description of the time‐space behavior of extra‐tropical cyclonic precipitation fields.” Stochastic Hydro. and Hydr., 1, 37–52.
13.
Khuri, A. I., and Cornell, J. A. (1987). Response surfaces: Designs and analyses. Marcel Dekker, New York, N.Y.
14.
Kitanidis, P. K. (1987), “A first order approximation to stochastic optimal control of reservoirs.” Stochastic Hydro. and Hydr., 1, 169–184.
15.
Kleijnen, J. P. C. (1974). Statistical techniques in simulation, part I. Marcel Dekker, New York, N.Y.
16.
Klir, G. J., and Folger, T. A. (1988). Fuzzy sets, uncertainty, and information. Prentice Hall, Englewood‐Cliffs, N.J.
17.
Lansey, K., Duan, N., Mays, L., and Tung, Y. (1989). “Water distribution system design under uncertainties.” J. Water Resour. Plan. and Mgmt., ASCE, 115(5), 630–645.
18.
Lee, H. L., and Mays, L. W. (1986). “Hydraulic uncertainties in flood levee capacity.” J. Hydr. Engrg., ASCE, 112(10), 928–934.
19.
Loucks, D. P. (1968). “Computer models for reservoir regulation.” J. Sanit. Engrg. Div., ASCE, 94(4), 657–669.
20.
Mankarious, W. F., Gates, T. K., and Rady, M. E.‐H. (1991). “Irrigation of small level basins in Egypt.” J. Irrig. and Drain. Engrg., ASCE, 117(3), 361–376.
21.
Manz, D. H. (1987). “Classification of irrigation water conveyance system components.” J. Irrig. and Drain. Engrg., ASCE, 113(4), 479–496.
22.
Mays, L. (1979). “Optimal design of culverts under uncertainties.” J. Hydr. Engrg., ASCE, 105(5), 443–459.
23.
Molden, D. J. (1988). “Water control as a basis for evaluation of irrigation water delivery systems,” Ph.D. dissertation, Colorado State University, Ft. Collins, Colo.
24.
Molden, D. J., and Gates, T. K. (1990). “Performance measures for evaluation of irrigation‐water‐delivery systems.” J. Irrig. and Drain. Engrg., ASCE, 116(6), 804–823.
25.
Molden, D. J., Gates, T. K., and Sunada, D. K. (1989). “Designing hydraulic structures for water control in irrigation water delivery systems.” Proc. 2nd Int. Symp. on Design of Hydr. Structures, Colorado State University, Fort Collins, Colo., 365–370.
26.
Salas, J. D., Delleur, J. W., Yevjevich, V., and Lane, W. L. (1980). Applied modeling of hydrologic time series. Water Resour. Publications, Littleton, Colo.
27.
Smith, L., and Schwartz, F. W. (1980). “Mass transport, 1: A stochastic analysis of macroscopic dispersion.” Water Resour. Res., 16(2), 303–313.
28.
Su, Y., Mays, L., Duan, N., and Lansey, K. (1987). “Reliability‐based optimization model for water distribution systems.” J. Hydr. Engrg., ASCE, 114(12), 1539–1556.
29.
Tung, Y. K. (1987). “Effects of uncertainties on optimal risk‐based design of hydraulic structures.” J. Water Resour. Plan. and Mgmt., ASCE, 113(5), 709–722.
30.
Tung, Y. K., and Mays, L. W. (1982). “Optimal risk‐based hydraulic design of bridges.” J. Water Resour. Plan. and Mgmt., ASCE, 108(2), 191–203.
31.
Vanmarcke, E. (1983). Random fields: Analysis and synthesis. The MIT Press, Cambridge, Mass.
32.
Yen, B. C., and Ang, A. H. (1971). “Risk analysis in design of hydraulic projects.” Proc. of the 1st Int. Symp. on Stochastic Hydr., University of Pittsburgh, Pittsburgh, Pa., 694–709.
33.
Yevjevich, V. (1972). Stochastic processes in hydrology. Water Resources Publications, Ft. Collins, Colo.
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 118 • Issue 3 • May 1992
Pages: 433 - 449
Copyright
Copyright © 1992 ASCE.
History
Published online: May 1, 1992
Published in print: May 1992
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