Author(s): Ming Jin

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Abstract: Two probabilistic models for backwater profile computation are developed by using the theory of random differential equations. The models can simultaneously consider uncertainties in boundary condition and hydraulic parameters, such as the Manning's resistance coefficient, channel slope, discharge rate, within the equation describing the one-dimensional steady state nonuniform flow. The probability density functions of the water profile are obtained by numerically solving Liouville and Fokker-Planck equations. The results indicate that the method of random differential equations is useful for uncertainty analysis of the water surface profile computations.

DOI: https://doi.org/10.1080/00221689409498794

Year: 1994