Analysis of Clément’s First Formula for Irrigation Distribution Networks
Publication: Journal of Irrigation and Drainage Engineering
Volume 130, Issue 2
Abstract
The aim of this article is to determine with real data to what extent the hypotheses on which Clément’s first formula is based are fulfilled, and to compare the results of applying this formula. To this end the flow demand in the peak period was studied in two distribution networks with different irrigation methods and crops located in the Ebro River basin (northeast Spain). The calibration procedure for this formula proposed by the Centre Technique du Génie Rural des Eaux et des Forets (CTGREF) in 1977 was also analyzed. The result was that most of the hypotheses were not fulfilled. Furthermore, the discharge distributions obtained in the period of study did not correspond to a normal distribution. However, comparing the real accumulated probability curve and that calculated by Clément’s formula, it was found that the differences between the two curves for probabilities greater than 90% (a wide range of application of the formula) were lower than 9.4%. The reason for this result was found. It was shown also, that the CTGREF adjustment procedure did not provide substantial improvement in the estimation of flows because the aim of the fit was to achieve a normal distribution rather than an accumulated distribution function.
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References
Centre Technique du Génie Rural des Eaux et des Forets (CTGREF) Division Irrigation. (1974). “Lois de probabilité de débits de pointe d’un réseau d’irrigation collectif par aspersion.” Loi de Clément, Verification á partir d’enregistrements, Note technique 2, Aix-en-Provence, France.
Centre Technique du Génie Rural des Eaux et des Forets (CTGREF) Division Irrigation. (1977). “Ajustement expérimental de la formule de Clément pour un réseau collectif d’irrigation par aspersion.” Note technique 4, Aix-en-Provence, France.
Clément, R.(1966). “Calcul des débits dans les réseaux d’irrigation fonctionnant à la demande.” Houille Blanche, 5, 553–575.
Clément, R., and Galand, A. (1979). Irrigation par aspersion et réseaux collectifs de distribution sous pression, Eyrolles Editeur, Paris.
Food and Agricultural Organization (FAO). (1977). “Crop water requirements.” J. Doorenbos and W. O. Pruitt, Irrigation and Drainage Paper, 24, Rome.
Food and Agricultural Organization (FAO). (1988). “Design and optimization of irrigation distribution networks.” Labye et al., Irrigation and Drainage paper, 44, Rome.
Food and Agricultural Organization (FAO). (2000). “Performance analysis of on-demand pressurized irrigation systems.” N. Lammadalena and J. A. Sagardoy, Irrigation and drainage paper, 59, Rome.
Mavropoulos, T.(1997). “Sviluppo di una nuova formula per il calculo delle portate di punta nelle reti irrigue con esercizio alla domanda.” Riv. Irr. Dren., 44(2), 27–35.
Monserrat, J., Barragán, J., and Cots, L. (1997). “Cálculo de caudales en parcela en el diseño de redes de distribución a presión a la demanda.” XV Congreso Nacional de Riegos, Asociación Española de Riegos y Drenajes.
Mora, F., Monserrat, J., Cots, L., and Colomer, M. A. (2000). “Contraste de la metodologa de Clément en una red de distribución a la demanda en Alcarrás.” XVIII Congreso Nacional de Riegos, Huelva, Asociación Española de Riegos y Drenajes.
Poch, R., Monserrat, J., and Colomer, M. A. (2001). “Estudio de la demanda de caudales en la red de distribución a la demanda del sector IV de Monegros II.” XIX Congreso Nacional de Riegos, Asociación Española de Riegos y Drenajes.
Rohatgi, V. K. (1976). An introduction to probability theory and mathematical statistics, Wiley, New York.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 130 • Issue 2 • April 2004
Pages: 99 - 105
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: May 13, 2002
Accepted: Apr 17, 2003
Published online: Mar 15, 2004
Published in print: Apr 2004
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