Optimal Design of Irrigation Canal Network Under Uncertainty Using Response Surface Method

Abstract

Irrigation-water-delivery systems are designed and managed to receive water from a source and to distribute it among farmers in order to meet their agricultural requirements. High system performance can be achieved through rehabilitation of deteriorating and inadequate physical facilities and through improved system management. Various design decisions must be made in order to rehabilitate or develop irrigation-water-delivery systems, including those related to specification of the characteristics of hydraulic structures used to convey regulate, or divert water This study develops and applies a response surface methodology (RSM) for achieving optimal design for hydraulic structures in irrigation-water-delivery systems in canal networks. This approach provides a means of understanding system behavior through developing a response surface in terms of a mathematical expression representing system performance as affected by design decisions. Design decisions include pipe diameters for diversion and regulating structures. Simulation of steady spatially varied flow was incorporated into the response surface methodology to determine high-performance low-cost solutions. Objectives of adequacy, efficiency dependability, and equity of water delivery were considered in defining water delivery performance. Fuzzy membership functions were used to address subjectivity associated with interpreting expected values of performance measures associated with each of the prescribed objectives. This study is an extension of a previous study by Alshaikh [1]. That study reported the application of RSM on a single canal case while herein RSM was used for the case of a canal network. Though, in general, RSMs for large-scale branched systems are computationally intensive, this proposed methodology overcomes this drawback. The approach constitutes a significant easy-to-use step forward in the development of comprehensive systems-scale techniques for the design of structural components of irrigation-water-delivery systems.