Abstract
In this paper, concepts of network thermodynamics are applied to a river water quality model, which is based on Streeter-Phelps equations, to identify the corresponding physical components and their topology. Then, the randomness in the parameters, input coefficients and initial conditions are modeled by Gaussian white noises. From the stochastic components of the physical system description of problem and concepts of physical system theory, a set of stochastic differential equations can be automatically generated in a computer and the recent developments on the automatic formulation of the moment equations based on Ito calculus can be used. This procedure is illustrated through the solution of an example of stochastic river water quality problem and it is also shown how other related problems with different configurations can be automatically solved in a computer using just one software.
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Curi, W.F., Unny, T.E. & Kay, J.J. A stochastic physical system approach to modeling river water quality. Stochastic Hydrol Hydraul 9, 117–132 (1995). https://doi.org/10.1007/BF01585602
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DOI: https://doi.org/10.1007/BF01585602