A new analytical method for derivation of infiltration parameters

Seyedzadeh

Maroufpoor

2021

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This study used the location of the average advance time (method 1) and the mean infiltration opportunity time (method 2) as the midpoint of the twopoint method for determining "power advance" and Kostiakov-Lewis infiltration parameters. Experiments were carried out in three border-irrigated fields. The results showed that calibration of the power advance equation obtained by the Elliot and Walker method had high accuracy, with an average relative error of 11.3% in the time to complete the advance phase. The root mean square deviation (d RMS ) index used by Elliot and Walker showed that method 1, with an average d RMS value of 15.7 min, has the lowest d RMS , which estimates the advance time with mean d RMS values of 5.1 and 1.8 min less than the proposed method 2 and the method of Elliot and Walker, respectively. Furthermore, using all methods, the Kostiakov-Lewis infiltration equation parameters were determined. In estimating infiltration depth, method 1 had the highest accuracy with a minimum relative error of 0%, a maximum relative error of 8.7%, and an average relative error of 3.8%. Based on both the d RMS index and the accuracy of the infiltration equation, method 1 had a higher accuracy. K E Y W O R D S average advance time, design, evaluation, infiltration opportunity, volume balance Résumé Cette étude a utilisé l'emplacement du temps moyen d'avance (méthode 1) et le temps moyen d'occasion d'infiltration (méthode 2) comme point médian de la méthode à deux points pour déterminer les paramètres d'infiltration "avance de puissance" et Kostiakov-Lewis. Des expériences ont été menées dans trois champs irrigués selon la méthode border irrigation. Les résultats ont montré que l'étalonnage de l'équation d'avance de puissance obtenue par la méthode Elliot et Walker avait une grande précision, avec une erreur relative moyenne de 11,3% dans le temps pour terminer la phase d'avance. L'indice d'écart quadratique moyen ine (d RMS ) utilisé par Elliot et Walker a montré que la * Etude du point médian d'une méthode en deux points pour prédire l'avance et l'infiltration dans l'irrigation de surface

Section: Resultsmentioning

confidence: 99%

Investigating the midpoint of a two‐point method for predicting advance and infiltration in surface irrigation^*

Seyedzadeh

Maroufpoor

2021

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“…Thereafter, numerous techniques have been developed either to simplify or increase the accuracy of this method. For instance, the Benami and Ofen (1984) method, the one‐point method of Valiantzas et al (2001), the quick method of Mailapalli et al (2008), the Bautista et al (2009) method and the two‐point method of Ebrahimian et al (2010), as well as recent methods provided by Seyedzadeh et al (2020a, 2020b) and Panahi et al (2021), are techniques that followed the Elliott and Walker (1982) method to estimate soil water infiltration characteristics. These methods are based on the volume‐balance approach and propose mathematical solutions to estimate the parameters of the infiltration equations.…”

Section: Introductionmentioning

confidence: 99%

Estimating Infiltration in Open‐ended Furrow Irrigation by Modifying Final Infiltration Rate

Alizadeh‐Dizaj

Ebrahimian

et al. 2022

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The Kostiakov–Lewis equation is one of the commonly used infiltration equations in furrow irrigation. Elliott and Walker developed a two‐point method to estimate coefficients of the Kostiakov–Lewis equation. The basic infiltration rate (fo) in the Kostiakov–Lewis equation is usually calculated by the inflow–outflow method to determine the other two Kostiakov–Lewis parameters. In that method the entire furrow is used as an infiltrometer, which can cause overestimation of fo. In this study, by considering a correction factor in the mathematical calculations where the newly calculated value of fo is represented as fo* and the values of the a and k parameters, as calculated during the advance phase, are represented as a* and k*. The amount of infiltration volume estimated by the proposed method was evaluated using 21 open‐ended furrow irrigation data sets by calculating the relative error (RE) index. The value of fo decreased and the values of a and k increased by using the proposed method as compared to the Elliott and Walker method. Therefore, the results showed that the proposed method estimated infiltration volume with greater accuracy (average absolute RE = 4.0%) as compared to the Elliott and Walker method (average absolute RE = 7.8%).

“…These systems are often less efficient than pressurized irrigation systems (Li et al, 2020; Liu et al, 2013). However, studies have shown that surface irrigation systems can achieve the same efficiency as pressurized systems (Seyedzadeh, Panahi, & Maroufpoor, 2020; Walker & Skogerboe, 1987). The difference in system efficiency in many areas is caused by system design, management and maintenance (Playán & Mateos, 2006; Seyedzadeh, Khazaee, et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

“…Many researchers, such as Elliott and Walker (1982), Shepard et al (1993), Valiantzas et al (2001), Walker (2005), Seyedzadeh, Panahi, and Maroufpoor (2020), Seyedzadeh, Panahi, Maroufpoor, Singh, et al (2020) and Panahi et al (2021), have proposed simple methods to determine the a and k infiltration parameters of Equation (). Most of the published methods are based on a volume balance approach, as seen in Equation ():

σ_{z} {italickt}_{x}^{a} x goodbreak= {Qt}_{x} goodbreak- σ_{y} A_{o} x goodbreak- σ_{z}^{'} f_{o} t_{x} x goodbreak= V_{x}

where x is the distance of any point from the field beginning (m); t x is the advance time of water along the field length (min); σ z and σʹ z are the subsurface shape factors (dimensionless); Q is the inflow discharge (m 3 min⁻¹); σ y is the surface shape factor (dimensionless); A o is the cross section of the water inflow to the field (m 2 ); and V x is the volume of the infiltrated water from the beginning to the x ‐point of the field (m 3 ).…”

Section: Introductionmentioning

confidence: 99%

Determining Kostiakov–Lewis infiltration coefficients using the water advance relationship and optimization

Seyedzadeh

Bahrami

et al. 2023

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Two exponential relationships ([1] from the beginning to the midpoint of the field, [2] from the beginning to the endpoint of the field) were considered for the advance curve of surface irrigation water along a field. The constant coefficients of these advance relationships were determined using the least squares optimization method. These relationships were compared with the advanced relationships obtained by the Elliott and Walker method (EW) using the advanced data related to 14 irrigation events and using root mean square error deviation (dRMS) and Nash–Sutcliffe (NSE) indices. The results of this evaluation showed that the advanced relationships obtained from the method presented in this research (TR) have better accuracy, with average values of 7.05 min and 0.984 for dRMS and NSE, respectively. Then, using the TR method for deriving the advance relationships and using the volume balance method, the coefficients of the Kostiakov–Lewis infiltration relationship were determined. The infiltration relationships derived from the TR method were compared with the infiltration relationships obtained from the two‐point method of EW. The results of this investigation showed that the TR method predicts the average infiltration depth with an average absolute relative error of 6%, which is more accurate than that of EW.