A New Method for Determining the Coefficients of the Kostiakov Infiltration Relationship

Document Type : Original Article

Authors

1 Assistant Professor, Department of Water Engineering, Faculty of Agriculture, Fasa University, Fasa, Iran.

2 MSc, Department of Irrigation and Reclamation Engineering, University of Tehran, Tehran, Iran.

3 Associate Professor, Department of Water Engineering, Faculty of Agriculture, University of Kurdistan, Sanandaj, Iran.

10.22044/jhwe.2023.13133.1021

Abstract

In this study, a new advance relation (TR) was presented, which has only one constant coefficient. To determine the value of this coefficient, the water advance information at the midpoint and endpoint along the field is used. Field data from six irrigation events were used to evaluate this relationship and compare it with Elliott and Walker's (EW) exponential advance relationship. EW and TR advance relationships were compared using the relative error, Root Mean Square Deviation (RMSD), and Nash-Sutcliffe Efficiency (NSE) indices. The result of this comparison showed that the two advance relationships have equal accuracy in a number of irrigation events, and the EW advance relationship has more accuracy in other events. Then, using the TR advance relationship, a new method was presented to determine the subsurface storage coefficient in different lengths of the field and as a result to determine the coefficients of the Kostiakov infiltration relationship. The error-index for the average infiltration depth was used to compare the infiltration relations obtained from the EW and TR methods. The results of this comparison showed that the infiltration relationships of the two methods had equal accuracy in numerous irrigation events, and in some cases, the infiltration relationships obtained from the TR method were more accurate.

Keywords


Blair, A. and Smerdon, E., 1988. Infiltration from irrigation advance data. II: Experimental. Journal of irrigation and drainage engineering, 114(1): 18-30.
Christiansen, J., Bishop, A., Kiefer, F., and Fok, Y.-S., 1966. Evaluation of intake rate constants as related to advance of water in surface irrigation. Transactions of the ASAE, 9(5): 671-0674.
Elliott, R. and Walker, W., 1982. Field evaluation of furrow infiltration and advance functions. Transactions of the ASAE, 25(2): 396-0400.
Elliott, R.L., Walker, W.R., and Skogerboe, G.V., 1983. Infiltration parameters from furrow irrigation advance data. Transactions of the ASAE, 26(6): 1726-1731.
Emamgholizadeh, S., Seyedzadeh, A., Sanikhani, H., Maroufpoor, E., and Karami, G., 2022. Numerical and artificial intelligence models for predicting the water advance in border irrigation. Environment, Development and Sustainability, 24(1): 558-575.
Kiefer, F., 1965. Average depth of absorbed water in surface irrigation. Special Publication. Civil Engineering Department, Utah State University, Logan, Utah.
Kostiakov, A.N., 1932. On the dynamics of the coefficient of water-percolation in soils and on the necessity of studying it from a dynamic point of view for purposes of amelioration. Trans. 6th Cong. International. Soil Science, Russian Part A: 17-21.
Merriam, J.L., 1977. Efficient irrigation. California Polytechnic State University. San Luis Obispo, California.
Moriasi, D.N. et al., 2007. Model evaluation guidelines for systematic quantification of accuracy in watershed simulations. Transactions of the ASABE, 50(3): 885-900.
Motovilov, Y.G., Gottschalk, L., Engeland, K., Rodhe, A., 1999. Validation of a distributed hydrological model against spatial observations. Agricultural and Forest Meteorology, 98: 257-277.
Norum, D.I. and Gray, D.M., 1970. Infiltration equations from rate-of-advance data. Journal of the Irrigation and Drainage Division, 96(2): 111-119.
Panahi, A., Alizadeh‐Dizaj, A., Ebrahimian, H., and Seyedzadeh, A., 2022. Estimating Infiltration in Open‐ended Furrow Irrigation by Modifying Final Infiltration Rate. Irrigation and Drainage, 71(3): 676-686.
Panahi, A., Seyedzadeh, A., and 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.
Reddell, D. and Latartue, H., 1986. Evaluation of furrow surface storage and the Kostiakov infiltration parameters using irrigation advance data. American Society of Agricultural Engineers. Microfiche collection (USA).
Reddell, D. and Latortue, H., 1988. Estimating the three-parameter kostiakov infiltration function for furrow irrigation with advanced data. American Society of Agricultural Engineers (Microfiche collection)(USA).
Seyedzadeh, A., Khazaee, P., Siosemardeh, A., and Maroufpoor, E., 2022a. Irrigation management evaluation of multiple irrigation methods using performance indicators. ISH Journal of Hydraulic Engineering, 28(3): 303-312.
Seyedzadeh, A., Panahi, A., and Maroufpoor, E., 2020a. A new analytical method for derivation of infiltration parameters. Irrigation Science, 38: 449-460.
Seyedzadeh, A., Panahi, A., Maroufpoor, E., and Merkley, G.P., 2022b. Subsurface shape factor for surface irrigation hydraulics. Irrigation and Drainage, 71(3): 687-696.
Seyedzadeh, A., Panahi, A., Maroufpoor, E., and Singh, V.P., 2019. Development of an analytical method for estimating Manning’s coefficient of roughness for border irrigation. Irrigation Science, 37: 523-531.
Seyedzadeh, A., Panahi, A., Maroufpoor, E., Singh, V.P., and Maheshwari, B., 2020b. Developing a novel method for estimating parameters of Kostiakov–Lewis infiltration equation. Irrigation Science, 38: 189-198.
Smerdon, E., Blair, A., and Reddell, D., 1988. Infiltration from irrigation advance data. I: Theory. Journal of irrigation and drainage engineering, 114(1): 4-17.
Walker, W. and Skogerboe, G., 1987. Surface irrigation: theory and practice prentice–hall. Inc. Englewood cliffs. New Jersey.
Wallender, W. and Sirjani, F., 1988. Stochastic infiltration from advance in furrows. American Society of Agricultural Engineers (Microfiche collection)(USA).