Investigation of the average advance distance location in deriving the infiltration equation in surface irrigation

Document Type : Original Article

Authors

1 Department of Water Science and Engineering and research institute of Water Resources Management in arid region, Faculty of agriculture, Fasa university, Fasa, Iran.

2 Department of Engineering, IS-FOOD Institute (Institute for Innovation & Sustainable Development in Food Chain), Public university of Navarre, Campus de Arrosadía, 31006 Pamplona, Navarra, Spain.

3 Department of Water Engineering, Faculty of agriculture, Kurdistan university, Sanandaj, Iran.

Abstract

Objective: This study introduces a novel approach to determine the optimal midpoint location in the two-point method for estimating infiltration parameters of the Kostiakov-Lewis equation. Unlike the traditional fixed midpoint, which sometimes leads to errors, the proposed method dynamically adjusts the midpoint based on the average advance distance during the advance phase.
 
Method: To evaluate the performance of the proposed method, data from two border-irrigated fields in the Zarineh Rud irrigation and drainage network were used.
 
Results: The results of this study showed that the value of the root sum square error index for the advance equation of the proposed method was 17.3 minutes, while for the fixed midpoint method, it was 19.7 minutes. Also, the absolute relative error of the infiltration equations obtained from the two methods in calculating the average depth of infiltrated water in the field was 1.3% and 3.4%, respectively.
 
Conclusions: Selecting the midpoint in the two-point method based on the average location of the advance distance, in addition to overcoming the challenges of the fixed midpoint, has higher accuracy in estimating the advance time and also in estimating the infiltration parameters, providing a more reliable basis for irrigation management decisions

Keywords

Main Subjects


Benami, A., & Ofen, A. (1984). Irrigation engineering: sprinkler, trickle, surface irrigation; principles, design and agricultural practices. Agricultural Water Management, 9(3), 263-264  https://www.sidalc.net/search/Search2Record/unfao:614476
Christiansen, J. E., Bishop, A. A., Kiefer, F. W., & Fok, Y. (1966). Evaluation of intake rate constants as related to advance of water in surface irrigation. Trans. ASAE, 9(5), 671-674. https://elibrary.asabe.org/abstract.asp?aid=40068
Elliott, R. L., & Walker, W. R. (1982). Field evaluation of furrow infiltration and advance functions.Trans. ASCE, 25(2), 396-400.https://elibrary.asabe.org/abstract.asp?aid=33542
Elliott, R. L., Walker, W. R., & Skogerboe, G. V. (1983). Infiltration parameters from furrow irrigation advance data. Trans. ASAE, 26(6),1726-1731.                           https://elibrary.asabe.org/abstract.asp?aid=33833
Green, W. H., & Ampt, G. A. (1911). Studies on Soil Phyics. The Journal of Agricultural Science, 4(1), 1-24. https://doi.org/10.1017/S0021859600001441
Horton RE. (1939). Analysis of runoff-plat experiments with varying infiltration capacity. Transactions, American Geophysical Union, 20, 693–711.                                                             https://doi.org/10.1029/TR020i004p00693
Karmeli, D., Salazar, L., & Walker, W.R. (1978). Assessing the spatial variability of irrigation water applications. Environmental Protection Technology Series EPA (USA) Publication, United states, North America.https://nepis.epa.gov/Exe/ZyPURL.cgi?Dockey=2000I5UX.TXT
Key, M. (1990). Recent developments for improving water management in surface irrigation and overhead irrigation. Agri. Water Manage. 17, 7-23. https://doi.org/10.1016/0378-3774(90)90052-Z
Kostiakov, A.N. (1932). On the dynamics of the coefficient of water percolation in soils and on the necessity for studying it from a dynamic point of view for purposes of amelioration. Transactions of the sixth committee International Society of Soil Science; Russian, Part A, 17-21. https://cir.nii.ac.jp/crid/1570572699970385664?lang=en
Lewis, M. R. (1937). The rate of infiltration of water in irrigation‐practice. Eos, Transactions American Geophysical Union, 18(2), 361-368. https://doi.org/10.1029/TR018i002p00361
Moriasi, D. N., Arnold, J. G., Van Liew, M. W., Bingner, R. L., Harmel, R. D., & Veith, T. L. (2007). Model evaluation guidelines for systematic quantification of accuracy in watershed simulations. Transactions of the ASABE, 50(3), 885-900. https://doi.org/10.13031/2013.23153
Oyonarte, N., Mateos, L., & Palomo, M. (2002). Infiltration variability in furrow irrigation. Journal of irrigation and drainage engineering, 128, 26-33.                                          https://doi.org/10.1061/(ASCE)0733-9437(2002)128:1(26)
Panahi, A., Seyedzadeh, A., & Maroufpoor, E. (2021). Investigating the midpoint of a two‐point method for predicting advance and infiltration in surface irrigation. Irrigation and Drainage, 70(5), 1095-1106. https://doi.org/10.1002/ird.2618
Panahi, A., Seyedzadeh, A., Bahrami, M., & Maroufpoor, E. (2023). Determining Kostiakov–Lewis infiltration coefficients using the water advance relationship and optimization. Irrigation and Drainage, 72(4), 1026-1037.https://doi.org/10.1002/ird.2848
Philip, J. R. (1957). The theory of infiltration: 4. Sorptivity and algebraic infiltration equations. Soil science, 84(3), 257-264.       https://journals.lww.com/soilsci/citation/1957/09000/THE_THEORY_OF_INFILTRATION__4__SORPTIVITY_AND.10.aspx
Seyedzadeh, A., Khazaee, P., Siosemardeh, A., & Maroufpoor, E. (2022). Irrigation management evaluation of multiple irrigation methods using performance indicators. ISH Journal of Hydraulic Engineering, 28(3), 303-312. https://doi.org/10.1080/09715010.2021.1891470
Seyedzadeh, A., Panahi, A., & Maroufpoor, E. (2020a). A new analytical method for derivation of infiltration parameters. Irrigation Science, 38, 449–460. https://doi.org/10.1007/s00271-020-00686-z
Seyedzadeh, A., Panahi, A., Maroufpoor, E., & Singh, V. P. (2019). Development of an analytical method for estimating Manning’s coefficient of roughness for border irrigation. Irrigation Science, 37, 523-531. https://doi.org/10.1007/s00271-019-00631-9
Seyedzadeh, A., Panahi, A., Maroufpoor, E., Singh, V. P., & Maheshwari, B. (2020b). Developing a novel method for estimating parameters of Kostiakov–Lewis infiltration equation. Irrigation Science, 38, 189-198. https://doi.org/10.1007/s00271-019-00660-4
Shepard, J., Wallender, W., & Hopmans, J. (1993). One-point method for estimating furrow infiltration. Transactions of the ASAE, 36, 395-404.                                        https://elibrary.asabe.org/abstract.asp?aid=28351
Smith, R.E. )1972(. The infiltration envelope: results from a theoretical infiltrometer. J. Hydrol, 17, 1-21. https://doi.org/10.1016/0022-1694(72)90063-7
USDA, Soil Conservation Service (SCS). (1974). National engineering handbook, section 15 Irrigation, Chapter 4. Border Irrigation. United States Department of Agriculture publications, Washington, DC, USA. https://irrigationtoolbox.com/NEH/Part623_Irrigation/neh15-04.pdf
Valiantzas, J., Aggelides, S., & Sassalou, A. (2001). Furrow infiltration estimation from time to a single advance point. Agricultural Water Management, 52, 17-32. https://doi.org/10.1016/S0378-3774(01)00128-7
Walker, W.R. (2005). Multilevel calibration of furrow infiltration and roughness. Journal of irrigation and drainage engineering, 131, 129-136. https://doi.org/10.1061/(ASCE)0733-9437(2005)131:2(129)
Walker, W.R., & Skogerboe, G.V. (1987). Surface irrigation. Theory and practice. Prentice-Hall publications, America. https://www.cabidigitallibrary.org/doi/full/10.5555/19872432240
Zerihun, D., Feyen, J., & Reddy, J.M. (1996). Sensitivity analysis of furrow-irrigation performance parameters. Journal of Irrigation and Drainage Engineering, 122, 49-57. https://doi.org/10.1061/(ASCE)0733-9437(1996)122:1(49)