Abstract
A methodology is proposed for estimating furrow infiltration under time-variable ponding depth. The methodology approximates the solution to the two-dimensional Richards equation, and is a modification of a procedure that was originally proposed for computing infiltration under constant ponding depth. Two computational approaches were developed and tested using several combinations of soil hydraulic properties, furrow geometry, and flow depth variations. Both methods yielded solutions of reasonable and similar accuracy relative to numerical solutions of the two-dimensional Richards equation. The analysis also showed that the accuracy of the approximate model varies mostly as a function of soil hydraulic properties. The accuracy of the approximate solution can be improved with calibration. Two calibration methods were examined, one assuming that the calibration parameter varies with depth, and the other assuming a constant value. The analysis showed that latter approach, in combination with one of the proposed computational methods, reproduced the Richards equation solution more accurately. This means that a unique calibration parameter can be developed for the particular soil and geometric configuration conditions, and applied to different patterns of ponding depth variation.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abbasi, F., Feyen, J., and van Genuchten, M. T. (2004). “Two-dimensional simulation of water flow and solute transport below furrows: Model calibration and validation.” J. Hydrol., 290(1–2), 63–79.
Ahuja, L., DeCoursey, D. G., Barnes, B. B., and Rojas, K. W. (1993). “Characteristics of macropore transport studied with the ARS rot zone water quality model.” Trans. ASAE, 36(2), 369–380.
Banti, M., Zissis, T., and Anastasiadou-Partheniou, E. (2011). “Furrow irrigation advance simulation using a surface-subsurface interaction model.” J. Irrig. Drain. Eng., 304–314.
Bates, D. (2010). “Lme4: Mixed-effects modeling with R.” 〈http://lme4.r-forge.r-project.org/lMMwR/lrgprt.pdf〉.
Bates, D., Maechler, M., Bolker, B., and Walker, S. (2015a). “lme4: Linear mixed-effects models using Eigen and S4.” 〈http://CRAN.R-project.org/package=lme4〉.
Bates, D., Maechler, M., Bolker, B. M., and Walker, S. (2015b). “Fitting linear mixed-effects models using lme4.” J. Stat. Software, 67(1), in press.
Bautista, E., Warrick, A. W., and Schlegel, J. L. (2014a). “Wetted-perimeter dependent furrow infiltration and its implication for the hydraulic analysis of furrow irrigation systems.” Proc., World Environmental and Water Resources Congress 2014, W. C. Huber, ed., ASCE-EWRI, Reston, VA, 1727–1735.
Bautista, E., Warrick, A. W., and Strelkoff, T. S. (2014b). “New results for an approximate method for calculating two-dimensional furrow infiltration.” J. Irrig. Drain. Eng., 140(10), 04014032.
Bouwer, H. (1964). “Unsaturated flow in ground-water hydraulics.” J. Hydraul. Div., 90(HY5), 121–144.
Brooks, R. H., and Corey, A. T. (1964). Hydraulic properties of porous media, Colorado State Univ., Fort Collins, CO.
Clemmens, A. J., and Bautista, E. (2009). “Toward physically based estimation of surface irrigation infiltration.” J. Irrig. Drain. Eng., 588–596.
Corwin, D. L., Waggoner, B. L., and Rhoades, J. D. (1991). “A function model of solute transport that accounts for bypass.” J. Environ. Qual., 20(3), 647–658.
Green, W. H., and Ampt, G. A. (1911). “Studies on soil physics: I. Flow of air and water through soils.” J. Agric. Sci., 4(1), 1–24.
Haverkamp, R., Kutilek, M., Parlange, J. Y., Rendon, L., and Krejca, M. (1988). “Infiltration under ponded conditions: 2. Infiltration equations tested for parameter time-dependence and predictive use.” Soil Sci., 145(5), 317–329.
Haverkamp, R., Ross, P. J., Smettem, P. J., and Parlange, J. Y. (1994). “Three dimensional analysis of infiltration from the disc infiltrometer: 2. Physically based infiltration equation.” Water Resour. Res., 30(11), 2931–2935.
Hills, R. G., Porro, I., Hudson, D. B., and Wierenga, P. J. (1989). “Modeling one-dimensional infiltration into very dry soils. 1. Model development and evaluation.” Wat. Res. Res., 25(6), 1259–1269.
Hills, R. G., Wierenga, P. J., Hudson, D. B., and Kirkland, M. R. (1991). “The second Las Cruces trench experiment: Experimental results and two-dimensional flow predictions.” Water Res. Res., 27(10), 2707–2718.
HYDRUS [Computer software]. Microsoft, Redmond, WA.
Morel-Seytoux, H. J., Meyer, P. D., Nachabe, M., Touma, J., and van Genuchten, M. T., and Lenhard, R. J. (1996). “Parameter equivalence for Brooks-Corey and van Genuchten soil characteristics: Preserving the effective capillary drive.” Water Resour. Res., 32(5), 1251–1258.
Pinheiro, J. C., and Bates, D. M. (2000). Mixed-effects models in S and S-Plus, Springer, New York.
Rawls, W. J., Brakensiek, D. L., and Saxton, K. E. (1982). “Estimation of soil water properties.” Trans. ASAE, 25(5), 1316–1320.
R Core Team. (2015). R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria.
Richards, L. A. (1931). “Capillary conduction of liquids through porous mediums.” Physics, 1(5), 318–333.
Schaap, M. (2003). “Rosetta Lite Version 1.1.” USDA-ARS George E. Brown Jr. Salinity Laboratory and Univ. of California Riverside, Dept. of Environmental Sciences, Riverside, CA.
Šejna, M., Šimůnek, J., and van Genuchten, M. T. (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, PC-Progress, Prague, Czech Republic.
Šimůnek, J., Šejna, M., Saito, H., Sakai, M., and van Genuchten, M. T. (2013). “The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media. Version 4.16.” Dept. of Environmental Sciences, Univ. of California Riverside, Riverside, CA.
Smettem, K. R. J., Parlange, J. Y., Ross, P. J., and Haverkamp, R. (1994). “Three-dimensional analysis of infiltration from the disc infiltrometer. 1. A capillary-based theory.” Water Res. Res., 30(11), 2925–2929.
van Genuchten, M. T. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44(5), 892–898.
Warrick, A. (2003). Soil water dynamics, Oxford University Press, New York.
Warrick, A. W., and Lazarovitch, N. (2007). “Infiltration from a strip source.” Water Resour. Res., 43(3), W03420.
Warrick, A. W., Lazarovitch, N., Furman, A., and Zerihun, D. (2007). “Explicit infiltration function for furrows.” J. Irrig. Drain. Eng., 307–313.
Warrick, A. W., Zerihun, D., Sanchez, C. A., and Furman, A. (2005). “Infiltration under variable ponding depths of water.” J. Irrig. Drain. Eng., 358–363.
WinSRFR [Computer software]. USDA, Washington, DC.
Wöhling, T., Fröhner, A., Schmitz, G. H., and Liedl, R. (2006). “Efficient solution of the coupled one-dimensional surface—Two-dimensional subsurface flow during furrow irrigation advance.” J. Irrig. Drain. Eng., 380–388.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 142 • Issue 11 • November 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 28, 2015
Accepted: Feb 29, 2016
Published online: Jun 8, 2016
Published in print: Nov 1, 2016
Discussion open until: Nov 8, 2016
Authors
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.