Estimation of Infiltration Coefficients Based on the Average Infiltration Opportunity Time of the Advance Phase

Document Type : Original Article


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

2 M.Sc, 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.



The two-point method is the most commonly used method of calculating the coefficients of the Kostiakov-Lewis infiltration relationship, which is based on the volume balance equation. Using the two-point method of Elliott and Walker (EW), the coefficient of the power relation of water advance can be determined by initially utilizing data from the midpoint and endpoint of the field. Subsequently, the coefficients of the infiltration relationship can be determined. In this study, all the advance data were used to determine the power relation coefficients of water advance. Also, in this research (TR), the point where its infiltration opportunity is equal to the average infiltration opportunity time of the advance phase was considered as the midpoint in the two-point method for determining the infiltration coefficients. The relative error index and Root Mean Square Deviation (dRMS) index were used to assess the accuracy of the advanced relationships and infiltration equations derived from TR and EW methods. The results showed that the advanced relationships obtained from the TR method have higher accuracy than the EW method. The average relative error index of the infiltration depth indicated that the infiltration relations obtained from the TR method with an average relative error of 2.4% is more accurate than the EW method.


Christiansen, J., Bishop, A., Kiefer, F., 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., 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., 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., Karami, G., 2022. Numerical and artificial intelligence models for predicting the water advance in border irrigation. Environment, Development and Sustainability, 24(1): 558-575.
Furman, A., Warrick, A., Zerihun, D., Sanchez, C., 2006. Modified Kostiakov infiltration function: Accounting for initial and boundary conditions. Journal of irrigation and drainage engineering, 132(6): 587-596.
Green, W.H., Ampt, G., 1911. Studies on Soil Phyics. The Journal of Agricultural Science, 4(1): 1-24.
Horton, R.E., 1939. Analysis of runoff‐plat experiments with varying infiltration‐capacity. Eos, Transactions American Geophysical Union, 20(4): 693-711.
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.
Lewis, M., 1937. The rate of infiltration of water in irrigation‐practice. Eos, Transactions American Geophysical Union, 18(2): 361-368.
Merriam, J.L., 1977. Efficient irrigation. California Polytechnic State University. San Luis Obispo, California.
Panahi, A., Alizadeh‐Dizaj, A., Ebrahimian, H., 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., 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.
Philip, J.R., 1957. The theory of infiltration: 4. Sorptivity and algebraic infiltration equations. Soil science, 84(3): 257-264.
Seyedzadeh, A., Khazaee, P., Siosemardeh, A., 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., Maroufpoor, E., 2020a. A new analytical method for derivation of infiltration parameters. Irrigation Science, 38: 449-460.
Seyedzadeh, A., Panahi, A., Maroufpoor, E., Merkley, G.P., 2022b. Subsurface shape factor for surface irrigation hydraulics. Irrigation and Drainage, 71(3): 687-696.
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.
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.
Shepard, J., Wallender, W., Hopmans, J., 1993. One-point method for estimating furrow infiltration. Transactions of the ASAE, 36(2): 395-404.
Sirjani, F., Wallender, W., 1989. Stochastic infiltration from advance in furrows. Transactions of the ASAE, 32(2): 649-0654.
Smith, R.E., 1972. The infiltration envelope: results from a theoretical infiltrometer. Journal of hydrology, 17(1-2): 1-22.
Walker, W.R., 2005. Multilevel calibration of furrow infiltration and roughness. Journal of irrigation and drainage engineering, 131(2): 129-136.