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Discharge Estimation in a Lined Canal Using Information Entropy
Entropy 2014, 16(5), 2512-2529; doi:10.3390/e16052512

Three Methods for Estimating the Entropy Parameter M Based on a Decreasing Number of Velocity Measurements in a River Cross-Section

1,* , 1
1 Engineering Department, University of Ferrara, Via Saragat 1, 44122 Ferrara, Italy 2 Research Institute for Geo-Hydrological Protection, National Research Council, Via Madonna Alta, 126, 06128 Perugia, Italy
* Author to whom correspondence should be addressed.
Received: 27 February 2014 / Revised: 15 April 2014 / Accepted: 7 May 2014 / Published: 9 May 2014
(This article belongs to the Special Issue Entropy in Hydrology)
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The theoretical development and practical application of three new methods for estimating the entropy parameter M used within the framework of the entropy method proposed by Chiu in the 1980s as a valid alternative to the velocity-area method for measuring the discharge in a river is here illustrated. The first method is based on reproducing the cumulative velocity distribution function associated with a flood event and requires measurements regarding the entire cross-section, whereas, in the second and third method, the estimate of M is based on reproducing the cross-sectional mean velocity  by following two different procedures. Both of them rely on the entropy parameter M alone and look for that value of M that brings two different estimates of , obtained by using two different M-dependent-approaches, as close as possible. From an operational viewpoint, the acquisition of velocity data becomes increasingly simplified going from the first to the third approach, which uses only one surface velocity measurement. The procedures proposed are applied in a case study based on the Ponte Nuovo hydrometric station on the Tiber River in central Italy.
Keywords: entropy; streamflow measurement; velocity profile entropy; streamflow measurement; velocity profile
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Farina, G.; Alvisi, S.; Franchini, M.; Moramarco, T. Three Methods for Estimating the Entropy Parameter M Based on a Decreasing Number of Velocity Measurements in a River Cross-Section. Entropy 2014, 16, 2512-2529.

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