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

Self Cite

Estimating soil infiltration is important in designing and managing surface irrigation systems. To date, various methods have been proposed to estimate infiltration coefficients. In this research, a simple method for estimating the coefficients of the Kostiakov–Lewis infiltration equation in surface irrigation is presented. Then, the performance of this method is compared with other similar methods, including the Elliott–Walker two‐point, IPARM and Merriam–Keller methods, using eight furrow irrigation datasets and six border irrigation datasets. The proposed method calculates the coefficients of the infiltration equation through the comparison between the measured and calculated infiltrated water amount by an optimization method, the normal decreasing gradient algorithm, using advance and recession data. The mean relative errors in estimating the infiltrated water volume were 13.63, 3.92, 0.005 and 0.00 for the two‐point, IPARM, Merriam–Keller and proposed methods for border irrigation, respectively. Similarly, the respective mean relative error values were 14.35, 6.31, 1.90 and 0.00 for furrow irrigation. In addition, to ensure the optimality of the obtained coefficients, response surfaces were drawn. The coefficients obtained from the proposed method are located in the minimum place of the response surface, while no similar behaviour was observed in the other methods. These results prove the effectiveness of the proposed method in addition to its simplicity.

Section: Relative Error Of Infiltration Estimationcontrasting

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Developing a simple method for estimating soil infiltration in furrow and border irrigation using advance, recession and runoff data

Rabbaniha,

Ebrahimian

2023

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“…Seyedzadeh, Panahi, et al (2022) and Kiefer (1965) presented relationships based on the values of r and a in the form of Equations ( 15) and ( 16), respectively, to determine the value of the subsurface water storage shape factor:…”

Section: Proposed Methodsmentioning

confidence: 99%

“…The more accurately the water advance relationship is determined, the more accurately will the V ss be estimated, and as a result, the infiltration coefficients will be determined more accurately. Based on the literature review in the two-and one-point methods (Panahi et al, 2021(Panahi et al, , 2022Seyedzadeh, Panahi, Maroufpoor, Singh, et al, 2020), due to the use of the water advance information of two and one points of the field, respectively, and as a result of not considering the changes in soil infiltration along the field, the relationship of water advance in these methods will not be determined with proper accuracy. Additionally, in these methods, only one water advance relationship is used to determine V L/2 and V L .…”

Section: Introductionmentioning

confidence: 99%

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

Panahi

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.

Water depth and cross‐sectional area relationships in sloping surface irrigation systems

Seyedzadeh,

Panahi,

Maroufpoor

2024

The equations governing variations in water depth and cross‐sectional area along a field are crucial for solving the Saint‐Venant equations and determining surface water volume via the volume balance method to determine other hydraulic parameters of surface irrigation systems. Various researchers have proposed different formulations for this equation based on varying assumptions. In many investigations, the flow depth profile has been assumed to be parallel to the furrow bottom or modelled as an elliptical relationship. This study explored four different forms of equation to analyse changes in the water depth profile and to refine its mathematical representation. The coefficients of these equations were derived as functions of the surface storage coefficient. Using field data, the surface storage coefficient values and, consequently, the coefficients of the proposed relationships were determined. The calculated values of the flow cross‐sectional area along the field and the water surface storage volume were compared with the measured values using the established relationships. The most accurate relationship for estimating the flow depth profile was identified through this analysis.