Zero-Inertia Modeling of Furrow Irrigation Advance

Elliott, Ronald L.; Walker, Wynn R.; Skogerboe, Gaylord V.

doi:10.1061/jrcea4.0001387

Cited by 71 publications

(4 citation statements)

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“…The weight factors we used in time and space were ω = 0.6 [23,24] and ϕ = 1 2 for interior cells [11,23], respectively, and for the last cell and first time level, we used ϕ = π/4 [3,17].…”

Section: Solution Proceduresmentioning

confidence: 99%

“…The border irrigation modeling can be carried out by the zero-inertia model that is based on a Lagrangian scheme in finite differences for surface flow, while for the description of the flow of water in the soil, it uses the Kostiakov equation [10] and is adapted for furrow irrigation [11]. The WinSRFR software uses the zero-inertia model coupled with infiltration equations such as those of Richards, Green and Ampt, Kostiakov, and Kostiakov-Lewis [12].…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic Border Irrigation Model: Comparison of Infiltration Equations

Fuentes

Chávez

Brambila-Paz

et al. 2022

Water

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The variation in moisture content between subsequent irrigations determines the use of infiltration equations that contain representative physical parameters of the soil when irrigation begins. This study analyzes the reliability of the hydrodynamic model to simulate the advanced phase in border irrigation. For the solution of the hydrodynamic model, a Lagrangian scheme in implicit finite differences is used, while for infiltration, the Kostiakov equation and the Green and Ampt equation are used and compared. The latter was solved using the Newton–Raphson method due to its implicit nature. The models were validated, and unknown parameters were optimized using experimental data available in the literature and the Levenberg–Marquardt method. The results show that it is necessary to use infiltration equations based on soil parameters, because in subsequent irrigations, the initial conditions change, modifying the advance curve in border irrigation. From the coupling of both equations, it is shown that the empirical Kostiakov equation is only representative for a specific irrigation event, while with the Green and Ampt equations, the subsequent irrigations can be modeled, and the advance/infiltration process can be observed in detail.

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Section: Solution Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Border Irrigation Model: Comparison of Infiltration Equations

Fuentes

Chávez

Brambila-Paz

et al. 2022

Water

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show abstract

“…or the volume balance equation [3,4]. The zero-inertia model and the kinematic wave model have been found to reliably predict the advance phase in furrow irrigation [5][6][7]. However, the application of these models is not always easy, due to the complexity and difficulties related to the various numerical optimization techniques as well as the large number of their parameters.…”

Section: Introductionmentioning

confidence: 99%

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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“…Οι Elliot et al (1982Elliot et al ( , 1983 [Voolhiser και Liggett (1967)] και στη συνέχεια προσαρμόστηκαν για λύση προβλημάτων προώθησης του νερού σε λωρίδες CChen (1970), Smith (1972)] και αυλάκια [Sherman και Singh (1978,1982]. 0 Chen (1970) Papazafiriou (1973Papazafiriou ( , 1975Papazafiriou ( , 1976 Μετρήσεις απορροής της άρδευσης με παροχή q=1.…”

Section: 21 μαδ-ηματικά ομοιώματα οσοξυχίου οχκου νερούunclassified

Επιλογη Του Βελτιστου Συνδυασμου Παροχης Και Μηκους Διαδρομης Κατα Την Αρδευση Με Αυλακια Με Τη Διαδικασια Αναλυσης Φυσικων Συστηματων

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Zero-Inertia Modeling of Furrow Irrigation Advance

Cited by 71 publications

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Hydrodynamic Border Irrigation Model: Comparison of Infiltration Equations

Hydrodynamic Border Irrigation Model: Comparison of Infiltration Equations

Comparison of Methods Predicting Advance Time in Furrow Irrigation

Επιλογη Του Βελτιστου Συνδυασμου Παροχης Και Μηκους Διαδρομης Κατα Την Αρδευση Με Αυλακια Με Τη Διαδικασια Αναλυσης Φυσικων Συστηματων

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