Optimal Furrow Design. I: Time of Advance Equation

Valiantzas, John D.

doi:10.1061/(asce)0733-9437(2001)127:4(201)

Cited by 10 publications

(14 citation statements)

References 21 publications

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“…The equation of Valiantzas [17] calculates, directly and algebraically, the advance time, as long as the inflow rate, the cross-sectional area of the inlet flow and the parameters…”

Section: Valiantzas Methods [17]mentioning

confidence: 99%

“…This equation can also be applied to any form of the infiltration equation. Compared to the empirical SCS [14] equation, the Valiantzas [17] equation predicts the advance time much better.…”

Section: Introductionmentioning

confidence: 92%

“…A disadvantage of the method is perhaps that the time of advance versus distance relationship is described by three equations of different mathematical form [16]. Also, Valiantzas [17], based on the volume balance equation, proposed an equation to calculate the advance time as a function of the inflow rate and the parameters of the Lewis-Kostiakov infiltration equation, which gives similar results as the zero-inertia model. The equation was obtained by linear superposition of the two advance solutions for short times and the asymptotic solution for a longer time.…”

Section: Introductionmentioning

confidence: 99%

“…The purpose of this paper is to compare (1) the Newton-Raphson iterative process proposed by Walker and Skogerboe [3], (2) the Valiantzas [17] equation and (3) the Philip and Farrell [8] method in predicting the advance time t L , as well as a comparison of their results with the experimental data from 15 experimental fields presented in the international literature. In the first two methods, it is assumed that the infiltration follows the Lewis-Kostiakov equation, while in the third method, both the infiltration equations described by Philip [12] and Lewis-Kostiakov are examined.…”

Section: Introductionmentioning

confidence: 99%

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Comparison of Methods Predicting Advance Time in Furrow Irrigation

Kargas,

Koka,

Londra

et al. 2024

Water

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In the design of furrow irrigation, and in general in surface irrigation, the reliable estimation of the advance time at the furrow end (tL) is a key issue for improving the efficiency and uniformity of irrigation. In this study, three methods are used for estimating the tL, and their results are compared with the experimental data of fifteen different furrows from the international literature. These methods are as follows: (a) the Valiantzas equation, (b) the method presented by Walker and Skogerboe, based on solving the volume balance equation by the Newton–Raphson iterative procedure and (c) the method of Philip and Farrell. The first two methods assume that the infiltration is described by the Lewis–Kostiakov equation and the extended Lewis–Kostiakov equation, respectively, while in the case of the Philip and Farrell method, the infiltration is described by the Philip equation and the Lewis-Kostiakov equation. The results showed that in most cases of the first two methods, the absolute relative error value of the predicted time tL was less than 10%. The Philip and Farrell method using the Lewis–Kostiakov infiltration equation underestimates the time tL and fails especially in the case where the volume of the surface water is not negligible compared to the total volume of water entering the system. The Valiantzas method is recommended because it was simpler and easier to use and showed greater prediction accuracy of tL, resulting in better planning of irrigation systems and contributing to water saving, which is currently a big issue.

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“…The equation of Valiantzas [17] calculates, directly and algebraically, the advance time, as long as the inflow rate, the cross-sectional area of the inlet flow and the parameters…”

Section: Valiantzas Methods [17]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Comparison of Methods Predicting Advance Time in Furrow Irrigation

Kargas,

Koka,

Londra

et al. 2024

Water

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“…To apply the procedure proposed by Rodríguez (2003), it was first necessary to determine equivalent infiltration parameters from the Kostiakov (1932) equation using the method developed by Valiantzas (2001). The equivalent Kostiakov equation is:…”

Section: Infiltration Parameters For Untested Discharges In the Fieldmentioning

confidence: 99%

Comparison between surge irrigation and conventional furrow irrigation for covered black tobacco cultivation in a Ferralsol soil

Rodríguez

Díaz²,

Reyes³

et al. 2004

Span. j. agric. res.

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Over 51,000 ha of low yield tobacco were harvested in the year 2000/2001 in Cuba. Since the Union of Tobacco Enterprises plans to increase this area to 72,000 ha of tobacco in 2005, where most of these new areas will be irrigated with surface irrigation, then the introduction of new irrigation technologies is an important premise to achieve high yield productions. Because of this, some field evaluations of furrow irrigation with continuous and intermittent flow applications were carried out on a plot belonging to the «Cítricos Ciego de Avila» enterprise, in the Ceballos municipality of the Ciego de Avila province, Cuba. The objective of these field evaluations was to compare the hydraulic behavior of different water management strategies of furrow irrigation for the cultivation of black tobacco in a Ferralsol soil, using a surface irrigation simulation model. The intermittent application of water considerably reduced the infiltration capacity of the soil. Likewise, the influence of soil water content and furrow wetted perimeter on infiltration parameters was corroborated. The surge flow furrow irrigation with variable time cycles increased the application efficiency by more than six fold, and the water volume was reduced by more than 80% compared to continuous irrigation. The largest rises in distribution uniformity and reductions in percolation losses were obtained with a furrow length of 200 m and a discharge of 1 L s -1 , respectively. Key words: infiltration, water management, performance indices. ResumenComparación entre el riego por pulsos y el riego por surcos convencional para el cultivo del tabaco negro tapado en un suelo Ferralsol En la campaña 2000/2001 se cosecharon en Cuba alrededor de 51.000 ha de tabaco con un rendimiento medio relativamente bajo. Si se considera que para el año 2005 la Unión de Empresas del Tabaco prevé crecer hasta 72.600 ha, en donde la mayor parte de esta superficie será regada con métodos superficiales, entonces la introducción de nuevas tecnologías de riego por superficie es una premisa necesaria para lograr los incrementos previstos en los volúmenes de producción del tabaco. Teniendo en cuenta lo anterior, se realizaron evaluaciones de campo de riego por surcos con flujo continuo e intermitente en áreas de la empresa «Cítricos de Ciego de Avila», ubicada en el municipio Ceballos de la provincia de Ciego de Ávila, Cuba. El objetivo de las evaluaciones fue comparar el comportamiento hidráulico de diferentes estrategias de manejo del riego por surcos para el cultivo del tabaco negro tapado en un suelo Ferralsol. Se ejecutaron experimentos numéricos con un modelo matemático de simulación a fin de determinar las estrategias óptimas de manejo del riego por pulsos y comparar sus índices de idoneidad con los del riego por surcos convencional. La aplicación intermitente del agua en el riego por surcos redujo considerablemente la capacidad de infiltración del suelo. Asimismo, se constató la influencia que ejerce el contenido de agua en el suelo y el perímetro mojado del surco...

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