Technical Papers
May 14, 2024

Accounting for Interference Effects in Furrow Infiltration with Moment Analysis

Publication: Journal of Irrigation and Drainage Engineering
Volume 150, Issue 4

Abstract

Furrow infiltration interference results from the merging of the wetting plumes of neighboring furrows and reduces infiltration rates. Simulation models and computational procedures used to analyze furrow irrigation flows currently ignore this effect. An understanding of this process and its impact on infiltration is needed, and infiltration modeling approaches must be modified to account for interference effects, if those effects are substantial. A simulation study was conducted to characterize the transverse spread of furrow infiltration plumes subject to interference (i.e., constrained plumes) relative to unconstrained ones and its impact on infiltration rates. Constrained and unconstrained plumes were computed for the same furrow geometry, soil hydraulic properties, initial conditions, and boundary conditions and different combinations of these variables were tested. A relatively wide computational domain was used to compute the unconstrained plumes, whereas a relative narrow domain was used for the constrained plumes. Moment analysis was used to evaluate spread and fraction of infiltrated water contained within elliptical different regions of the plume. For any set of conditions, when a plume ceases to expand horizontally, its final horizontal standard deviation is approximately equal to the semiwidth of the constraining furrow divided by 1.7. This constant, and the resulting standard deviation, define an ellipse of an unconstrained infiltration plume that, at some point in time, matches the width of the constraining furrow. The onset of interference, and the resulting decrease in infiltration rate, can be predicted from the evolution of the standard deviation of the unfettered plume relative to the ultimate standard deviation of the constrained plume. These concepts were used to modify the lateral flow component of an existing semiphysical furrow infiltration model. The modified model predicts infiltration with reasonable accuracy in comparison with solutions computed with the two-dimensional Richards equation. Results suggest conditions under which interference is likely.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request. This includes HYDRUS-2D project files, R code used to process the outputs, and spreadsheets with the compiled results, but excludes the HYDRUS-2D software.

Acknowledgments

This research was supported by the USDA-ARS in-house appropriated project 2020-13660-009-000-D “Improving Water Management for Arid Irrigated Agroecosystems.”

References

Abbasi, F., F. J. Adamsen, D. J. Hunsaker, J. Feyen, P. Shouse, and M. T. van Genuchten. 2003a. “Effects of flow depth on water flow and solute transport in furrow irrigation: Field data analysis.” J. Irrig. Drain. Eng. 129 (4): 237–246. https://doi.org/10.1061/(ASCE)0733-9437(2003)129:4(237).
Abbasi, F., J. Šimůnek, J. Feyen, M. T. van Genuchten, and P. J. Shouse. 2003b. “Simultaneous inverse estimation of soil hydraulic and solute transport parameters from transient field experiments: Homogeneous soil.” Trans. ASAE 46 (4): 1085–1095. https://doi.org/10.13031/2013.13960.
Akbar, G., M. M. Ahmad, M. Khan, and M. Asif. 2017. “Furrow lateral wetting potential for optimizing bed width in silty clay.” Irrig. Drain. 66 (2): 218–226. https://doi.org/10.1002/ird.2092.
Akbar, G., S. Raine, A. D. McHugh, and G. Hamilton. 2015. “Managing lateral infiltration on wide beds in clay and sandy clay loam using HYDRUS 2D.” Irrig. Sci. 33 (3): 177–190. https://doi.org/10.1007/s00271-014-0458-9.
Bautista, E., A. W. Warrick, J. L. Schlegel, K. R. Thorp, and D. J. Hunsaker. 2016. “Approximate furrow infiltration model for time-variable ponding depth.” J. Irrig. Drain. Eng. 142 (11): 04016045. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001057.
Bautista, E., A. W. Warrick, and T. S. Strelkoff. 2014. “New results for an approximate method for calculating two-dimensional furrow infiltration.” J. Irrig. Drain. Eng. 140 (10): 04014032. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000753.
Bouwer, H. 1964. “Unsaturated flow in ground-water hydraulics.” J. Hydraul. Div. 90 (5): 121–144. https://doi.org/10.1061/JYCEAJ.0001098.
Brooks, R. H., and A. T. Corey. 1964. “Hydrology paper 3.” In Hydraulic properties of porous media. Fort Collins, CO: Colorado State Univ.
Dialameh, B., H. Ebrahimian, and M. Parsinejad. 2022. “Field evaluation of an explicit infiltration function for conventional and alternate furrow irrigation.” Irrig. Drain. 71 (5): 1180–1194. https://doi.org/10.1002/ird.2722.
García-Serrana, M., J. L. Nieber, and J. S. Gulliver. 2017. “Infiltration flux for parallel strip water sources.” Vadose Zone J. 16 (11): 1–12. https://doi.org/10.2136/vzj2017.07.0137.
Govindaraju, R. S., and B. S. Das. 2007. “Moment analysis for subsurface hydrologic applications.” In Vol. 61 of Water science and technology library. Dordrecht, Netherlands: Springer.
Green, W. H., and G. A. Ampt. 1911. “Studies on soil physics: I. Flow of air and water through soils.” J. Agric. Sci. 4 (1): 1–24. https://doi.org/10.1017/S0021859600001441.
Haverkamp, R., M. Kutilek, J. Y. Parlange, L. Rendon, and M. Krejca. 1988. “Infiltration under ponded conditions: 2. Infiltration equations tested for parameter time-dependence and predictive use.” Soil Sci. 145 (5): 317–329. https://doi.org/10.1097/00010694-198805000-00001.
Haverkamp, R., P. Ross, K. Smettem, and J. Parlange. 1994. “Three-dimensional analysis of infiltration from the disc infiltrometer: 2. Physically based infiltration equation.” Water Res. Res. 30 (11): 2931–2935. https://doi.org/10.1029/94WR01788.
Hinnell, A. C., N. Lazarovitch, A. Furman, M. Poulton, and A. W. Warrick. 2010. “Neuro-Drip: Estimation of subsurface wetting patterns for drip irrigation using neural networks.” Irrig. Sci. 28 (6): 535–544. https://doi.org/10.1007/s00271-010-0214-8.
Kazemi, H., A. A. Sadraddini, A. H. Nazemi, and C. A. Sanchez. 2021. “Moment analysis for modeling soil water distribution in furrow irrigation: Variable vs. constant ponding depths.” Water 13 (10): 1415. https://doi.org/10.3390/w13101415.
Lazarovitch, N., A. W. Warrick, A. Furman, and J. Šimůnek. 2007. “Subsurface water distribution from drip irrigation described by moment analyses.” Vadose Zone J. 6 (1): 116–123. https://doi.org/10.2136/vzj2006.0052.
Lazarovitch, N., A. W. Warrick, A. Furman, and D. Zerihun. 2009. “Subsurface water distribution from furrows described by moment analyses.” J. Irrig. Drain. Eng. 135 (1): 7–12. https://doi.org/10.1061/(ASCE)0733-9437(2009)135:1(7).
Mualem, Y. 1976. “A new model for predicting the hydraulic conductivity of unsaturated porous media.” Water Res. Res. 12 (3): 513–522. https://doi.org/10.1029/WR012i003p00513.
Philip, J. R. 1955. “Numerical solution of equations of the diffusion type with diffusivity concentration-dependent.” Trans. Faraday Soc. 51 (Mar): 885–892. https://doi.org/10.1039/tf9555100885.
Rawls, W. J., C. L. Brakensiek, and K. E. Saxton. 1982. “Estimation of soil water properties.” Trans. ASAE 25 (5): 1316–1320. https://doi.org/10.13031/2013.33720.
R Core Team. 2020. R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing.
Richards, L. A. 1931. “Capillary conduction of liquids through porous mediums.” Physics 1 (5): 318–333. https://doi.org/10.1063/1.1745010.
Saxton, K. E., and W. J. Rawls. 2006. “Soil water characteristic estimates by texture and organic matter for hydrologic solutions.” Soil Sci. Soc. Am. J. 70 (5): 1569–1578. https://doi.org/10.2136/sssaj2005.0117.
Schaap, M. G., F. J. Leij, and M. T. van Genuchten. 2001. “Rosetta: A computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions.” J. Hydrol. 251 (3–4): 163–176. https://doi.org/10.1016/S0022-1694(01)00466-8.
Šejna, M., J. Šimůnek, and M. T. van Genuchten. 2012. The HYDRUS software package for simulating the two- and three-dimensional movement of water, heat, and multiple solutes in variably-saturated media, user manual (Version 2.02). Prague, Czech Republic: PC-Progress.
Šimůnek, J., M. T. van Genuchten, and M. Šejna. 2016. “Recent developments and applications of the HYDRUS computer software packages.” Vadose Zone J. 15 (7): vzj2016-04. https://doi.org/vzj2016.2004.0033.
Singh, V. P., S. K. Jain, and A. Tyagi. 2007. Risk and reliability analysis: A handbook for civil and environmental engineers. Reston, VA: ASCE.
USDA-SCS (US Department of Agriculture, Soil Conservation Service). 1984. National engineering handbook. Section 15. Furrow irrigation. Washington, DC: USDA-SCS.
van Genuchten, M. T. 1980. “Closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Vogel, T., and J. W. Hopmans. 1992. “Two-dimensional analysis of furrow infiltration.” J. Irrig. Drain. Eng. 118 (5): 791–806. https://doi.org/10.1061/(ASCE)0733-9437(1992)118:5(791).
Warrick, A. W., and N. Lazarovitch. 2007. “Infiltration from a strip source.” Water Resour. Res. 43 (3): W03420. https://doi.org/10.1029/2006WR004975.
Warrick, A. W., N. Lazarovitch, A. Furman, and D. Zerihun. 2007. “Explicit infiltration function for furrows.” J. Irrig. Drain. Eng. 133 (4): 307–313. https://doi.org/10.1061/(ASCE)0733-9437(2007)133:4(307).
Zhang, Y., and M. G. Schaap. 2017. “Weighted recalibration of the Rosetta pedotransfer model with improved estimates of hydraulic parameter distributions and summary statistics (Rosetta3).” J. Hydrol. 547 (Apr): 39–53. https://doi.org/10.1016/j.jhydrol.2017.01.004.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 150Issue 4August 2024

History

Received: Aug 29, 2022
Accepted: Jan 4, 2024
Published online: May 14, 2024
Published in print: Aug 1, 2024
Discussion open until: Oct 14, 2024

Permissions

Request permissions for this article.

Authors

Affiliations

Research Hydraulic Engineer, USDA-ARS U.S. Arid Land Agricultural Research Center, 21881 North Cardon Ln., Maricopa, AZ 85138 (corresponding author). ORCID: https://orcid.org/0000-0001-9498-1126. Email: [email protected]
Full Professor, French Associates Institute for Agriculture and Biotechnology of Drylands, The Jacob Blaustein Institutes for Desert Research, Ben-Gurion Univ. of the Negev, Sede Boqer Campus, 8499000, Israel. ORCID: https://orcid.org/0000-0002-3630-5696. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share