Skip to main content
Log in

A new method for the mathematical modelling of water movement in a surface irrigation system: method and application

  • Original Paper
  • Published:
Irrigation Science Aims and scope Submit manuscript

Abstract

Surface irrigation methods need less capital investment and energy than pressurized systems, and therefore they have a wide range of use in many regions. However, inaccurate system design and irrigation applications lead to non-uniform distribution of water in the soil profile. Therefore, the water loss caused by deep percolation increases, and the water application efficiency decreases. In this investigation, a new method was devised for the optimum design of a blocked end furrow system. The new method simulates the movement properties of water in the soil. It analyzes interactively and simultaneously the infiltration characteristics of the soil, the inflow to the furrow and the irrigation water requirement of the crop. The spatio-temporal variation of the wetting pattern which occurs during the water application period and of the components of the wetting pattern can be determined momentarily for any time point during the irrigation application. This process is carried out by running the movement equations of water in the soil, which are described in this investigation. The proposed method was run for two different sample applications of blocked end furrow systems without slope. In the verification process of the model, the sample applications were compared with the results of the USDA SCS method. The results from the two different methods were compared and analyzed in detail. In conclusion, the results from the proposed method gave the optimum solution for different conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  • Abbasi F, Adamsen FJ, Hunsaker DJ, Feyen J, Shouse P, Van Genuchten MT (2003) Effects of flow depth on water flow and solute transport in furrow irrigation: field data analysis. J Irrig Drain Eng 129:237–246

    Article  Google Scholar 

  • Adamala S, Raghuwanshi NS, Mishra A (2014) Development of surface irrigation systems design and evaluation software (SIDES). Comput Electron Agric 100:100–109. https://doi.org/10.1016/j.compag.2013.11.004

    Article  Google Scholar 

  • Akbar G, Ahmad MM, Ghafoor A, Khan M, Islam Z (2016) Irrigation efficiencies potential under surface irrigation farms in Pakistan. J Eng Appl Sci 35(2):15–23

    Google Scholar 

  • Anwar AA, Ahmad W, Bhatti MT, Haq ZU (2016) The potential of precision surface irrigation in the Indus basin irrigation system. J Irrig Sci 34(5):379–396

    Article  Google Scholar 

  • Bai MJ, Xu D, Li YN, Pereira LS (2010) Stochastic modelling of basins micro topography: analysis of spatial variability and model testing. J Irrig Sci 28(2):157–172

    Article  Google Scholar 

  • Bautista E, Clemmens AJ, Strelkoff TS, Schlegel J (2009) Modern analysis of surface irrigation systems with WinSRFR. Agric Water Manag 96:1146–1154

    Article  Google Scholar 

  • Bautista E, Schlegel JL, Strelkoff TS (2012) WinSRFR 4.1 user manual. Arid Land Agricultural Research Cent. https://www.ars.usda.gov/ARSUserFiles/20200515/WinSRFR4_UserManual.pdf. Accessed Oct 2019

  • Bristow KL, Šimůnek J, Helalia SA, Siyal AA (2020) Numerical simulations of the effects furrow surface conditions and fertilizer locations have on plant nitrogen and water use in furrow irrigated systems. Agric Water Manag 232:106044

    Article  Google Scholar 

  • Burguete J, Lacasta A, García-Navarro P (2014) SURCOS: a software tool to simulate irrigation and fertigation in isolated furrows and furrow networks. J Comput Electron Agric 103:91–103

    Article  Google Scholar 

  • Chen B, Ouyang Z, Zhang SH (2012) Evaluation of hydraulic process and performance of border irrigation with different regular bottom configurations. J Resour Ecol 3(2):151–160

    CAS  Google Scholar 

  • Delgoda D, Saleem SK, Malano H, Halgamuge MN (2016) Root zone soil moisture prediction models based on system identification: formulation of the theory and validation using field and AQUACROP data. Agric Water Manag 163:344–353

    Article  Google Scholar 

  • Dialameh B, Parsinejad M, Ebrahimian H, Mokhtari A (2018) Field comparison of infiltration in conventional and alternate Furrow irrigation under various initial and boundary conditions. Irrig Drain 67:156–165. https://doi.org/10.1002/ird.2176

    Article  Google Scholar 

  • Ebrahimian H (2014) Soil infiltration characteristics in alternate and conventional furrow irrigation using different estimation methods. KSCE J Civ Eng 18(6):1904–1911. https://doi.org/10.1007/s12205-014-1343-z (pISSN 1226-7988, eISSN 1976-3808)

    Article  Google Scholar 

  • Ebrahimian H, Ghaffari P, Ghameshlou AN, Tabatabaei SH, Dizaj AA (2020) Extensive comparison of various infiltration estimation methods for furrow irrigation under different field conditions. Agric Water Manag 230:105960

    Article  Google Scholar 

  • Esfandiari M, Maheshwari BL (2001) Field evaluation of furrow irrigation models. J Agric Eng Res 79(4):459–479. https://doi.org/10.1006/jaer.2001.0717

    Article  Google Scholar 

  • Ghahraman-Nezhad M, Borumand-Nasab S, Sheyni-Dashtgol A (2016) Determination of optimal design parameters for irrigation design by the WinSRFR3.1 model case study: South Ahwaz sugar cane fields. J Water Soil Sci 26(1.1):117–130

    Google Scholar 

  • Gillies MH, Smith RJ (2015) SISCO: surface irrigation calibration and optimization. J Irrig Sci 33(5):339–355

    Article  Google Scholar 

  • Jurriens M, Zerihun D, Boonstra J (2001) SURDEV: surface irrigation software. J International Institute for Land Reclamation and Improvement, Wageningen

    Google Scholar 

  • Kanber R, Ünlü M (2008) Türkiye’de Sulama ve Drenaj Sorunları: Genel Bakış. 5. Dünya Su Forumu Bölgesel Hazırlık Süreci DSİ Yurtiçi Bölgesel Su Toplantıları. T.C. Çevre ve Orman Bakanlığı, Devlet Su İşleri Genel Müdürlüğü, DSİ VI. Bölge Müdürlüğü. Sulama – Drenaj Konferansı Bildiri Kitabı (10–11 Nisan, Adana). s.1–45

  • Kang SZ, Shi P, Pan YH, Liang ZS, Hu XT, Zhang J (2000) Soil water distribution, uniformity and water-use efficiency under alternate furrow irrigation in arid areas. Irrig Sci 19:181–190

    Article  Google Scholar 

  • Katopodes ND (1994) Hydrodynamics of surface irrigation: vertical structure of the surge front. Irrig Sci 15:101–111

    Article  Google Scholar 

  • Kermani SG, Sayari S, Kisi O, Zounemat-Kermani M (2019) Comparing data driven models versus numerical models in simulation of waterfront advance in furrow irrigation. Irrig Sci 37:547–560. https://doi.org/10.1007/s00271-019-00635-5

    Article  Google Scholar 

  • Khatri KL, Smith RJ (2006) Real-time prediction of soil infiltration characteristics for the management of furrow irrigation. Irrig Sci 25:33–43. https://doi.org/10.1007/s00271-006-0032-1

    Article  Google Scholar 

  • Kilic M (2020) A new analytical method for estimating the 3D volumetric wetting pattern under drip irrigation system. Agric Water Manag 228(2020):105898. https://doi.org/10.1016/j.agwat.2019.105898

    Article  Google Scholar 

  • Kilic M, Anac S (2010) Multi-objective planning model for large scale irrigation systems: method and application. Water Resour Manag 24(12):3173–3194. https://doi.org/10.1007/s11269-010-9601-4

    Article  Google Scholar 

  • Kilic M, Anac S (2012) Sustainable management of large scale irrigation systems: a decision support model for Gediz Basin, Turkey. Sustainable Natural Resources Management (Chapter 3). InTech, New York. https://doi.org/10.5772/33120 (ISBN: 978-953-307-670-6)

    Book  Google Scholar 

  • Kilic M, Tuylu GI (2010) Determination of water conveyance loss in the Ahmetli Regulator irrigation system in the Lower Gediz Basin, Turkey. Irrig Drain. https://doi.org/10.1002/ird.602

    Article  Google Scholar 

  • Koech RK, Smith RJ, Gillies MH (2014) A real-time optimisation system for automation of furrow irrigation. Irrig Sci 32:319–327. https://doi.org/10.1007/s00271-014-0432-6

    Article  Google Scholar 

  • Levidow L, Zaccaria D, Maia R, Vivas E, Todorovic M, Scardigno A (2014) Improving water-efficient irrigation: Prospects and difficulties of innovative practices. Agric Water Manag 146:84–94

    Article  Google Scholar 

  • Liu K, Huang G, Xu X, Xiong Y, Huang Q, Šimůnek J (2019) A coupled model for simulating water flow and solute transport in furrow irrigation. Agric Water Manag 213(2019):792–802

    Article  Google Scholar 

  • Mailhol JC, Ruelle P, Popova Z (2005) Simulation of furrow irrigation practices (SOFIP): a field-scale modelling of water management and crop yield for furrow irrigation. Irrig Sci 24:37–48. https://doi.org/10.1007/s00271-005-0006-8

    Article  Google Scholar 

  • Mazarei R, Mohammadi AS, Naseri AA, Ebrahimian H, Izadpanah Z (2020) Optimization of furrow irrigation performance of sugarcane fields based on inflow and geometric parameters using WinSRFR in Southwest of Iran. Agric Water Manag 228:105899. https://doi.org/10.1016/j.agwat.2019.105899

    Article  Google Scholar 

  • Mazarei R, Mohammadi AS, Ebrahimian H, Naseri AA (2021) Temporal variability of infiltration and roughness coefficients and furrow irrigation performance under different inflow rates. Agric Water Manag 245:106465. https://doi.org/10.1016/j.agwat.2020.106465

    Article  Google Scholar 

  • Montesinos P, Camacho E, Alvarez S (2001) Seasonal furrow irrigation model with genetic algorithms (OPTIMEC). Agric Water Manag 52:1–16

    Article  Google Scholar 

  • Morris MR, Hussain A, Gillies MH, Halloran NJ (2015) Inflow rate and border irrigation performance. J Agric Water Manag 155:76–86

    Article  Google Scholar 

  • Naghedifar SM, Ziaei AN, Ansari H (2020) Numerical analysis and optimization of triggered furrow irrigation system. Irrig Sci 38:287–306. https://doi.org/10.1007/s00271-020-00672-5

    Article  Google Scholar 

  • Navabian M, Moslemi-Koochesfahani M (2012) Optimization of furrow length and inflow rate in furrow irrigation. Iran J Water Res 6(11):27–34

    Google Scholar 

  • Nie WB, Fei LJ, Ma XY (2014) Impact of infiltration parameters and Manning roughness on the advance trajectory and irrigation performance for closed-end furrows. Span J Agric Res 12:1180–1191

    Article  Google Scholar 

  • Nie WB, Li YB, Zhang F, Dong SX, Wang H, Ma XY (2018) A method for determining the discharge of closed-end furrow irrigation based on the representative value of Manning’s roughness and field mean infiltration parameters estimated using the PTF at regional scale. Water 10:1825. https://doi.org/10.3390/w10121825

    Article  Google Scholar 

  • Nie WB, Li YB, Zhang F, Ma XY (2019) Optimal discharge for closed-end border irrigation under soil infiltration variability. J Agric Water Manag 221:58–65

    Article  Google Scholar 

  • Piazentin JC, Zocoler JL, Cremasco CP, Neto AB, Filho LRAG (2019) Water distribution uniformity in driping system under growing pressures. Int J Innov Educ Res 7(11):14–21. https://doi.org/10.31686/ijier.Vol7.Iss11.1829

    Article  Google Scholar 

  • Pozo AD, Brunel-Saldias N, Engler A, Ortega-Farias S, Acevedo-Opazo C, Lobos GA, Jara-Rojas R, Molina-Montenegro MA (2019) Climate change impacts and adaptation strategies of agriculture in Mediterranean-climate regions (MCRs). Sustainability 11:2769. https://doi.org/10.3390/su11102769

    Article  Google Scholar 

  • Raghuwanshi NS, Wallender WW (1999) Forecasting and optimizing furrow irrigation management decision variables. Irrig Sci 19:1–6

    Article  Google Scholar 

  • Saberi E, Siuki AK, Pourreza-Bilondi M, Shahidi A (2020) Development of a simulation–optimization model with a multi-objective framework for automatic design of a furrow irrigation system. Irrig Drain 69:603–617. https://doi.org/10.1002/ird.2460

    Article  Google Scholar 

  • Salahou MK, Jiao XY, Lü HS (2018) Border irrigation performance with distance-based cut-off. Agric Water Manag 201:27–37

    Article  Google Scholar 

  • Sayari S, Rahimpour M, Zounemat-Kermani M (2017) Numerical modelling based on a finite element method for simulation of flow in furrow irrigation. J Paddy Water Environ 15(4):879–887

    Article  Google Scholar 

  • USDA SCS (2012) Surface irrigation, chapter 4, part 623, irrigation. National engineering handbook. https://directives.sc.egov.usda.gov/OpenNonWebContent.aspx?content=39787.wba. Accessed May 2018

  • Selle B, Minasny B, Bethune M, Thayalakumaran T, Chandra S (2011) Applicability of Richards’ equation models to predict deep percolation under surface irrigation. Geoderma 160:569–578

    Article  Google Scholar 

  • Šimůnek J, van Genuchten MT, Šejna M (2008) Development and applications of the HYDRUS and STANMOD software packages and related codes. Vadose Zone J 7(2):587–600. https://doi.org/10.2136/VZJ2007.0077

    Article  Google Scholar 

  • Šimůnek J, van Genuchten MT, Šejna M (2016) Recent developments and applications of the HYDRUS computer software packages. Vadose Zone J 15(7):25. https://doi.org/10.2136/vzj2016.04.0033

    Article  Google Scholar 

  • Smith RJ, Uddin MJ, Gillies MH (2018) Estimating irrigation duration for high performance furrow irrigation on cracking clay soils. Agric Water Manag 206:78–85

    Article  Google Scholar 

  • Valiantzas JD (2000) Surface water storage independent equation for predicting furrow irrigation advance. Irrig Sci 19:115–123

    Article  Google Scholar 

  • Vogel T, Hopmans JW (1992) Two-dimensional analysis of furrow infiltration. J Irrig Drain Eng 118:791–806

    Article  Google Scholar 

  • Walker WR (2003) SIRMOD III-surface irrigation simulation, evaluation and design: guide and technical documentation. Department of Biological and Irrigation Engineering, Utah St. University Logan, Logan

    Google Scholar 

  • Walker WR, Skogerboe GV (1987) Surface irrigation theory and practice. Prentice-Hall Inc, Englewood Cliffs, p 386

    Google Scholar 

  • Wang J, Huang G, Zhan H, Mohanty BP, Zheng J, Huang Q, Xu X (2014) Evaluation of soil water dynamics and crop yield under furrow irrigation with a two-dimensional flow and crop growth coupled model. Agric Water Manag 141:10–22

    Article  CAS  Google Scholar 

  • Wu D, Xue J, Bo X, Meng W, Wu Y, Du T (2017) Simulation of irrigation uniformity and optimization of irrigation technical parameters based on the SIRMOD model under alternate furrow irrigation. J Irrig Drain Eng 66(4):478–491

    Article  Google Scholar 

  • Xu J, Cai H, Saddique Q, Wang X, Li L, Ma C, Lu Y (2019) Evaluation and optimization of border irrigation in different irrigation seasons based on temporal variation of infiltration and roughness. J Agric Water Manag 214:64–77

    Article  Google Scholar 

  • Yazdi Z, Mohseni-Movahed SA, Heydari M (2008) Preparation of a model for evaluation, design, simulation and optimization of the furrow irrigation. In: Article collection of the second seminar on improvement and correction of surface irrigation systems. Hall of Collections of Karaj Research Institutions, pp 121–136

  • Yıldırım O (2013) Design of irrigation systems (4th press). Ankara University Faculty of Agriculture, Department of Agricultural Structures and Irrigation, Ankara (no:1594, book: 546)

    Google Scholar 

  • Zerihun D, Feyen J, Reddy JM (1997a) Empirical functions for dependent furrow irrigation variables. 1. Methodology and equations. Irrig Sci 17:111–120

    Article  Google Scholar 

  • Zerihun D, Wang Z, Feyen J, Reddy JM (1997b) Empirical functions for dependent furrow irrigation variables. 2. Applications. Irrig Sci 17:121–126

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Murat Kilic.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 145 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kilic, M. A new method for the mathematical modelling of water movement in a surface irrigation system: method and application. Irrig Sci 40, 359–378 (2022). https://doi.org/10.1007/s00271-022-00782-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00271-022-00782-2

Navigation