Design of the River Stable (Regime) Flow Section by Imperialistic Competitive Algorithm

Document Type : Research Article



One of the challenges in river engineering design, planning and training is prediction of stable hydraulic cross section in which the rate of erosion and sediment transport is in a regime state. The instability problems of rivers cannot be properly evaluated without knowledge of the stable state. In this study, a simulation-optimization model of hydraulic geometry (stable geometry) was developed to predict the response and stable geometry of sand bed rivers. The model consists of an analytical model which will be solved using the Imperialistic Competitive Algorithm (ICA). Analytical simulation model is using the governing equations which describe the movement of water and sediment through a channel, calculate the distribution of the boundary shear stresses, and assesses the bank stability considering the effect of the vegetation. Two hypotheses of maximum sediment transport capacity (MSTC) and minimum stream power (MSP) are used. Simulation-optimization model of hydraulic geometry is used to determine the response of the channel geometry to variation in the bankfull discharge, sediment load, and the properties of the bank sediment. The river channel responses predicted by the model are shown to be in agreement with qualitative observations and empirical regime equations. Using the imperialist competitive algorithm in prediction of hydraulic geometry reduces computational complexity and makes it possible to take into account all parameters with reasonably good results.


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  • Receive Date: 17 October 2015
  • Revise Date: 18 May 2016
  • Accept Date: 09 November 2016
  • First Publish Date: 09 November 2016