Validation of a Predictive Form of Horton Infiltration for Simulating Furrow Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 129, Issue 6
Abstract
Due to spatially varying conditions the improvement of furrow irrigation efficiency should be sought not just for a limited number of furrows or for one specific irrigation event. A simplified predictive modeling approach of the averaged advance-infiltration process is proposed in this paper. Horton’s equation, derived from the asymptotic form of the Talsma-Parlange infiltration equation, allows us to use a predictive approach for the advance infiltration process by means of the exact solution of the Lewis and Milne water balance equation. The references to the works of White and Sully, for a surface point source, result in the use of parameters which characterize the hydraulic properties of the soil: Δθ (saturated water content minus initial water content); Ks (saturated conductivity); and (macroscopic capillary length). The physical meaning of parameters involved in the proposed modeling is attested using field experiments carried out in a loamy soil plot context. Assuming a same Δθ measured value before irrigation for the whole of a 30 furrow sample, the averaged values of and Ks obtained from calibration on the advance trajectory are comparable to those derived from local infiltration tests (disk permeameter and double ring methods). The applicability of the model is then extended to heavy clay soil where the parameters and Ks still agree with the values proposed in the literature. This paper can be considered as a contribution to the development of a tool for evaluating the impact of irrigation practices on the efficiency at the plot and cropping season scale.
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References
Berthomé, P. (1985). “Evaluation d’un arrosage et automatisation en irrigation à la raie.” Cemagref, Groupement d’Aix en Pce., Div Irrig.
Berthomé, P. (1991). “Modélisation de l’infiltration en irrigation à la raie: Résolutions numérique et analytique, Application à l’étude de la conduite des arrosages.” PhD, Institute Poltytec. de Toulouse.
Bouwer, H.(1966). “Rapid field measurement of air entry value and hydraulic conductivity of soil as significant parameters in flow system analysis.” Water Resour. Res., 2, 729–738.
Childs, J. L., Wallender, W. W., and Hopmans, J. W.(1993). “Spatial and seasonal variation of furrow infiltration.” J. Irrig. Drain. Eng., 119(1), 74–90.
Elrick, D. E., and Reynolds, W. D. (1989). “Water flux-components and their measurement.” Proc., Applied Soil Physics Stress Environment, NATO, Islamabad, Pakistan.
Fuentes, C. (1992). “Approche fractale des transferts hydriques dans les sols non-Saturés.” Thèse, PhD de Docteur de l’Université J. Fourier de Grenoble, France.
Gardner, W. R.(1958). “Some steady state solutions of the unsaturated moisture flow Equation.” Soil Sci., 85, 228–232.
Green, W. H., and Ampt, G. A.(1911). “Studies in soil physics 1. The flow of air and water through soil.” J. Agric. Sci., 4, 1–24.
Haverkamp, R., Kutilek, M., Parlange, J. Y., Rendon, L., and Krejka, M.(1988). “Infiltration under ponded conditions 2 infiltration equations tested for parameter time-dependence and predictive use.” Soil Sci. Soc. Am. J., 145(5), 327–329.
Horton, R. E.(1940). “An approach towards a physical interpretation of infiltration capacity.” Soil Sci. Soc. Am. Proc., 5, 399–417.
Kutilek M., and Nielsen, D. R. (1994). “Soil hydrology.” Hydraulic conductivity, Geoscience Publisher, Cremlingen-Destedt Catena-Verlag, Germany, Chap. 5.3.2, 104–112.
Lewis, M. R., and Milne, W. E.(1938). “Analysis of border irrigation.” Agric. Eng., 19, 267–272.
Mailhol, J. C., Baqri, H., and Lachhab, M.(1997). “Operative irrigation furrow modelling for real-time applications on closed-end furrows.” Irrig. Drain. Syst., 11, 347–366.
Mailhol, J. C., and Gonzalez, G.(1993). “Furrow irrigation model for real-time applications on cracking soils.” J. Irrig. Drain. Eng., 119(5), 768–783.
Mailhol, J. C., Priol, M., and Benali, M.(1999). “A furrow irrigation model to improve irrigation practices in the Gharb valley of Morocco.” Agric. Water Manage., 42, 65–80.
Mailhol, J. C., Ruelle, P., and Nemeth, I.(2001). “Impact of fertilisation practices on nitrogen leaching under irrigation.” Irrig. Sci., 20, 139–147.
Or, D.(1996). “Wetting-induced soil structure changes. The theory of liquid phase sintering.” Water Resour. Res., 2(10), 3041–3049.
Or, D., Leij, F. J., Snyder, V., and Ghezzehei, T. A.(2000). “Stochastic model for post-tillage pore space evolution.” Water Resour. Res., 36(7), 1641–1652.
Or, D., and Silva, H. R.(1996). “Prediction of surface irrigation advance using soil intake properties.” Irrig. Sci., 16, 159–167.
Parlange, J. Y., Lisle, I., and Braddock, R. D.(1982). “The three parameters infiltration equation.” Soil Sci. Soc. Am. J., 133(6), 337–341.
Perroux, H. L., and White, I.(1988). “Design for disc permeameter.” Soil Sci. Soc. Am. J., 52, 1205–1215.
Philip, J. R.(1957). “The theory of infiltration 1. Sorptivity and algebraic infiltration equations.” Soil Sci., 83, 345–357.
Philip, J. R. (1969). Theory of infiltration. Advances Hydrosc, Academic, New York, 215–305.
Philip, J. R., and Farell, D. N.(1964). “General solution of the infiltration advance problem in irrigation hydraulics.” J. Geophys. Res., 69(4), 624–631.
Renault, D. (1991). “ALIVE: Un modèle hydrologique d’irrigation à la raie.” PhD, USTL Montpellier, France.
Renault, D., and Wallender, W. W.(1992). “ALIVE Advance linear velocity: Surface irrigation rate balance theory.” J. Irrig. Drain. Eng., 118(1), 138–155.
Renault, D., and Wallender, W. W.(1994). “Furrow advance-rate solution for stochastic infiltration properties.” J. Irrig. Drain. Eng., 120(3), 617–633.
Revol, Ph. (1991). “Modélisation simplifiée de l’infiltration appliquée à la micro-irrigation.” Mémoire de DEA, Univ. Joseph Fourier, Grenoble, France.
Revol, Ph. (1994). “Caractérisation hydrodynamique des sols par infiltration axisymétrique et modélisation simplifiée de la micro-irrigation.” Thèse de doctorat de l’université Joseph Fourrier Grenoble I, France.
Revol, Ph., Clothier, B. E., Mailhol, J. C., Vachaud, G., and Vauclin, M.(1996). “Infiltration from a surface point source and drip irrigation 2. An approximation time-dependant solution for wet-front position.” Water Resour. Res., 33(8), 1869–1874.
Rosenbrock, H.(1960). “An automatic method for finding the greatest or least value of a function.” Comput. J., 3, 175–184.
Schwankl, L., Raghuwanshi, J., and Wallender, W. W.(2000). “Furrow irrigation performance under spatially varying conditions.” J. Irrig. Drain. Eng., 126(6), 355–361.
Schwankl, L. J., and Wallender, W. W.(1988). “Zero inertia furrow modelling with variable infiltration and hydraulics characteristics.” Trans. ASAE, 31(5), 1470–1475.
Shayya, W. H., Bralts, V. F., and Segerlind, L. J.(1993). “Kinematic wave furrow irrigation analysis: A finite element approach.” Trans. ASAE, 36, 1733–1742.
Shepard, J. S., Wallender, W. W., and Hopmans, J. W.(1993). “One point method for estimation infiltration.” Trans. ASAE, 36(2), 395–404.
Smetten, K. R. J., and Clothier, B.(1989). “Measuring unsaturated sorptivity and conductivity using multiple disc permeameters.” J. Soil Sci., 40, 563–568.
Talsma, T., and Parlange, J. Y.(1972). “One dimensional infiltration.” Aust. J. Soil Res., 10, 143–150.
Thony, J. L., Vachaud, G., Clothier, B. E., and Angulo-Jaramillo, R.(1991). “Field measurement of the hydraulic properties of soil.” Soil Tech.,4, 111–123.
Trout, T. J.(1990). “Furrow inflow and infiltration variability impacts on irrigation management.” Trans. ASAE, 33(4), 1171–1178.
Vachaud, G., Dancette, C., Dancette, C., and Thony, J. L.(1978). “Méthodes de caractérisation hydrodynamique in situ d’un sol non saturé. Application à deux types de sol du Sénégal en vue de la détermination des termes du bilan hydrique.” Soil Sci. Soc. Am. J., 44, 892–898.
Verrecken, H., Maes, J., Feyen, J., and Darius, P.(1989). “Estimating the soil moisture retention characteristic from texture, bulk density and carbon content.” Soil Sci., 148(6), 389–403.
Verrecken, H., Maes, J., and Feyen, J.(1990). “Estimating unsaturated hydraulic conductivity from easily measured soil properties.” Soil Sci., 149(1), 1–12.
Walker, W. R. (1989). The surface irrigation simulation model (SIRMOD) user’s guide, Dept. of Agricultural and Irrigation Engineering, Utah State Univ., Logan, Utah.
White, I. (1988). “Measurement of soil physical properties in the field.” Flow and transport in the natural environment: Advance and applications, W. L. Steffen and O. T. Deanmed, eds., Springer, Berlin.
White, I., and Sully, J.(1987). “Macroscopic and microscopic capillarity length and time scales from field infiltration.” Water Resour. Res., 23, 1514–1522.
Wooding, R. A.(1968). “Steady infiltration from a shallow circular pond.” Water Resour. Res., 4, 1259–1273.
Yu, F. X., and Singh, V. P.(1990). “Analytical model for furrow irrigation.” J. Irrig. Drain. Eng., 116(2), 154–171.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 129 • Issue 6 • December 2003
Pages: 412 - 421
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Nov 6, 2001
Accepted: Mar 24, 2003
Published online: Nov 14, 2003
Published in print: Dec 2003
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