Wetting Pattern Models for Drip Irrigation: New Empirical Model
Publication: Journal of Irrigation and Drainage Engineering
Volume 137, Issue 8
Abstract
Reliable information about the wetted dimensions of soil under drip irrigation helps designers to determine optimal emitter flow rates and spacings to reduce system equipment costs and provide better soil water conditions for the most efficient and effective use of water. This study presents a new empirical formula that predicts soil wetted dimensions around a drip emitter. The coefficients were obtained by using regression analysis on the results of field experiments done on the Pardis Agricultural Farm of Tehran University in Karaj, Iran. These data were also used to evaluate the semiempirical model of Zur and Schwartzman, the empirical model of Amin and Ekhmaj, and the analytical model WetUp. Statistical comparisons (mean error, root mean square error, and model efficiency) are made of the simulated data with the observed data. To evaluate the models, published experimental data by Risse et al. and Li et al. were also used. The results demonstrate that the suggested equations can be used for a wide range of discharge rates and soil types. The best result was obtained from the new empirical model proposed in this investigation. The lowest mean error for the wetted radius and wetted depth was 8.21 and 8.62 cm, respectively.
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References
Aina, P. O., and Fapohunda, H. O. (1986). “Root distribution and water uptake patterns of maize cultivars field-grown under differential irrigation.” Plant Soil, 94, 257–265.
Amin, M. S. M., and Ekhmaj, A. I. M. (2006). “DIPAC-drip irrigation water distribution pattern calculator.” 7th Int. Micro Irrigation Congress, PWTC, Kuala Lumpur, Malaysia, 10–12.
Battam, M. A., Sutton, B. G., and Boughton, D. G. (2003). “Soil pit as a simple design aid for subsurface drip irrigation systems.” Irrig. Sci., 22, 135–141.
Bresler, E. (1978). “Analysis of trickle irrigation with application to design problems.” Irrig. Sci., 1, 3.
Cantuarias, T., Cohen, Y., and Tomer, E. (1995). “Improving avocado tree water status under severe climatic conditions by increasing wetted soil volume.” Proc., World Avocado Congress III, Tel Aviv, Israel, 196–204.
Carter, M. R. (1990). “Relationship of strength properties to bulk density and macroporosity in cultivated loamy sand to loam soils.” Soil Tillage Res., 15(3), 257–268.
Chen, J. M., Tan, Y. C., and Chen, Y. Z. W. (2006). “A study of the infiltration of trickle irrigation.” 7th Int. Micro Irrigation Congress, PWTC, Kuala Lumpur, Malaysia.
Cook, F. J., Thorburn, P. J., Fitch, P., and Bristow, K. L. (2003). “WetUp: A software tool to display approximate wetting patterns from drippers.” Irrig. Sci., 22, 129–134.
Dasberg, S., and Or, D. (1999). Drip irrigation, Springer-Verlag, Berlin, 162.
Ehlers, W. (1975). “Observations on earthworm channels and infiltration on tilled and untilled loess soil.” Soil Sci., 119, 242–249.
Gardner, W. R., and Mayhugh, M. S. (1958). “Solutions and test of diffusivity equation for the movement of water in soil.” Soil Sci. Soc. Am. Proc., 22, 197–201.
Hillel, D. (1982). Introduction to soil physics, Academic, San Diego, Chapters 1–7, 1–134.
Jacovides, C. P., and Kontoyiannis, H. (1995). “Statistical procedures for the evaluation of evapotranspiration computing models.” Agric. Water Manage., 27, 365–371.
Kessler, J., and Oosterbaan, R. J. (1974). “Determining hydraulic conductivity of soils.” Drainage principles and application, Vol. 16(3), IRLI, Wageningen, Netherlands, 255–295.
Khamzina, A., Lamers, J. P. A., and Vlek, P. L. G. (2008). “Tree establishment under deficit irrigation on degraded agricultural land in the lower Amu Darya River region, Aral Sea Basin.” For. Ecol. Manage., 255, 168–178.
Lafolie, F., Bruckler, L., de Cockborne, A. M., and Laboucarie, C. (1997). “Modeling the water transport and nitrogen dynamics in irrigated salad crops.” Irrig. Sci., 17, 95–104.
Lehmann, J. (2003). “Subsoil root activity in tree-based cropping systems.” Plant Soil, 255, 319–331.
Li, J., Zhang, J., and Rao, M. (2004). “Wetting patterns and nitrogen distributions as affected by fertigation strategies from a surface point source.” Agric. Water Manage., 67, 89–104.
Lipiec, J., and Hatano, R. (2003). “Quantification of compaction effects on soil physical properties and crop growth.” Geoderma, 116, 107–136.
Lubana, P. S., and Narda, N. K. (1998). “Soil water dynamics model for trickle irrigated tomatoes.” Agric. Water Manage., 37, 145–161.
Lynch, J. (1995). “Root architecture and plant productivity.” Plant Physiol., 109, 9–13.
Oliveira, M., do Rosa’rio, G., Calado, A. M., and Martins Portas, C. A. (1996). “Tomato root distribution under drip irrigation.” J. Am. Soc. Horticult. Sci., 121(4), 644–648.
Philip, J. R. (1984). “Travel times from buried and surface infiltration points sources.” Water Resour. Res., 20, 990–994.
Rahardjo, H., Harnas, F. R., Leong, E. C., Tan, P. Y., Fong, Y. K., and Sim, E. K. (2009). “Tree stability in an improved soil to withstand wind loading.” Urban Forestry Urban Greening, 8(4), 237–247.
Revol, P., Clothier, B. E., Mailhol, J. C., Vachaud, G., and Vauclin, M. (1997). “Infiltration from a surface point source and drip irrigation. 2. An approximate time-dependent solution for wet-front position.” Water Resour. Res., 33, 1869–1874.
Richards, L. A. (1931). “Capillary conduction of liquids in porous mediums.” Physics, 1, 318–333.
Risse, L. M., and Chesness, J. L. (1989). “A simplified design procedure to determine the wetted radius for a trickle emitter.” Trans. ASAE, 32(6), 1909–1914.
Ruiz-Sanchez, M. C., Plana, V., Fortuno, M. F., Tapia, L. M., and Abrisqueta, J. M. (2005). “Spatial root distribution of apricot trees in different soil tillage practices.” Plant Soil, 272, 211–221.
Schwartzman, M., and Zur, B. (1986). “Emitter spacing and geometry of wetted soil volume.” J. Irrig. Drain. Eng., 112, 242–253.
Singh, D. K., Rajput, T. B. S., Sikarwar, H. S., and Ahmad, T. (2006). “Simulation of soil wetting pattern with subsurface drip irrigation from line source.” Agric. Water Manage., 83, 130–134.
Sokalska, D. I., Haman, D. Z., Szewczuk, A., Sobota, J., and Dereń, D. (2009). “Spatial root distribution of mature apple trees under drip irrigation system.” Agric. Water Manage., 96, 917–924.
Tanasescu, N., and Paltineanu, C. (2004). “Root distribution of apple tree under various irrigation systems within the hilly region of Romania.” Int. Agrophys., 18(2), 175–180.
Thorburn, P. J., Freeman, J. C., and Bristow, K. L. (2003). “Soil-dependent wetting from trickle emitters: Implications for system design and management.” Irrig. Sci., 22, 121–127.
Warrick, A. W., and Nielson, D. R. (1980). “Spatial variability of soil physical properties in the field.” Applications in soil physics, D. Hillel, ed., Academic, New York, 319.
White, I., and Sully, M. J. (1987). “Macroscopic and microscopic capillary length and time scales from field infiltration.” Water Resour. Res., 23, 1514–1522.
Willmut, C. J. (1982). “Some comments on the evaluation of model performance.” Bull. Am. Meteorol. Soc., 63(11), 1309–1313.
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© 2011 American Society of Civil Engineers.
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Received: Feb 16, 2010
Accepted: Oct 29, 2010
Published online: Nov 2, 2010
Published in print: Aug 1, 2011
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