Reduced-Parameter Method for Maximum Entropy Analysis of Hydraulic Pipe Flow Networks
Publication: Journal of Hydraulic Engineering
Volume 144, Issue 2
Abstract
A maximum entropy (MaxEnt) method is developed to predict flow rates or pressure gradients in hydraulic pipe networks without sufficient information to give a closed-form (deterministic) solution. This methodology substantially extends existing deterministic flow network analysis methods. It builds on the MaxEnt framework previously developed by the authors. This study uses a continuous relative entropy defined on a reduced parameter set, here based on the external flow rates. This formulation ensures consistency between different representations of the same network. The relative entropy is maximized subject to observable constraints on the mean values of a subset of flow rates or potential differences, the frictional properties of each pipe, and physical constraints arising from Kirchhoff’s first and second laws. The new method is demonstrated by application to a simple one-loop network and a 1,123-node, 1,140-pipe water distribution network in the suburb of Torrens, Australian Capital Territory, Australia.
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Acknowledgments
This project acknowledges funding support from the Australian Research Council Discovery Projects grant DP140104402 and Go8/DAAD Australia-Germany Joint Research Cooperation Scheme RG123832. The first two authors were also generously supported by the French Agence Nationale de la Recherche Chair of Excellence (TUCOROM) and Institute Pprime, Poitiers, France. We also thank the two anonymous reviewers for their comments. Digital data used in Case Study 2 were sourced from and are owned by ACTEW Corporation Limited (ABN 86 069 381 960) trading as ACTEW Water.
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Journal of Hydraulic Engineering
Volume 144 • Issue 2 • February 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 28, 2016
Accepted: May 30, 2017
Published online: Nov 22, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 22, 2018
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