Entropy 2014, 16(5), 2512-2529; doi:10.3390/e16052512
Article

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

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Received: 27 February 2014; in revised form: 15 April 2014 / Accepted: 7 May 2014 / Published: 9 May 2014
(This article belongs to the Special Issue Entropy in Hydrology)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: 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
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MDPI and ACS Style

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.

AMA Style

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(5):2512-2529.

Chicago/Turabian Style

Farina, Giulia; Alvisi, Stefano; Franchini, Marco; Moramarco, Tommaso. 2014. "Three Methods for Estimating the Entropy Parameter M Based on a Decreasing Number of Velocity Measurements in a River Cross-Section." Entropy 16, no. 5: 2512-2529.

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