Effect of the Capillary Fringe on Steady-State Water Tables in Drained Lands
Publication: Journal of Irrigation and Drainage Engineering
Volume 138, Issue 9
Abstract
When the flow in the capillary fringe above the water table is taken into account in land-drainage theory, water-table heights are lower than those predicted when incident rainfall on the surface is assumed to travel vertically through the vadose zone. An analytical solution is given here to the steady-state drainage problem of the flow of surface-incident rainfall to cylindrical drain channels for the situation of a completely tension-saturated soil above the water table. This gives the maximum effect that the unsaturated soil region above the water table can have on the water-table height for the given drainage system. Calculated results show that the water-table height above drain level is smaller for deeper drains below the soil surface and for larger drain radii than is the case when the effect of the capillary fringe is ignored. It follows that drainage design based on customary land-drainage theory ignoring the effect of a capillary fringe gives an overestimate for the drain spacing.
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References
Berkowitz, B., Silliman, S. E., and Dunn, A. M. (2004). “Impact of the capillary fringe on local flow, chemical migration, and microbiology.” Vadose Zone J., 3(2), 534–548.
Childs, E. C. (1943). “The water table, equipotentials, and streamlines in drained land.” Soil Sci., 56(5), 317–330.
Childs, E. C. (1945). “The water table, equipotentials, and streamlines in drained lands: III.” Soil Sci., 59(5), 405–415.
Childs, E. C. (1959). “A treatment of the capillary fringe in the theory of drainage.” J. Soil Sci., 10(1), 83–100.
Childs, E. C. (1960). “A treatment of the capillary fringe in the theory of drainage: II. Modifications due to an impermeable sub-stratum.” J. Soil Sci., 11(2), 293–304.
Childs, E. C. (1969). An introduction to the physical basis of soil water phenomena, John Wiley and Sons, London.
Day, P. R., and Luthin, J. N. (1954). “Sand-model experiments on the distribution of water-pressure under an unlined canal.” Proc. Soil Sci. Soc. Am., 18(2), 133–136.
van Deemter, J. J. (1950). “Bijdragen tot de kennis van enige natuurkundige gotttheden van de grond. 11. Theoretische en numerieke behandeling van ontwaterings-en infitratie-stromingsproblemen.” Versl. Landb. Onderz., 56.7, 1–67.
Emikh, V. H. (1993). Hydrodynamics of seepage flows with drainage, Nauka, Novosibirsk (in Russian).
Engelund, F. (1951). “Mathematical discussion of drainage problems.” Trans. Dan. Acad. Tech. Sci., 3, 1–64.
Luthin, J. N. ed., (1957). Drainage of agricultural lands. monogr. 7, American Society of Agronomy, Madison, WI.
Luthin, J. N., and Day, P. R. (1955). “Lateral flow above a sloping water table.” Proc. Soil Sci. Soc. Am., 19(4), 406–410.
Luthin, J. N., and Miller, R. D. (1953). “Pressure distribution in soil columns draining into the atmosphere.” Proc. Soil Sci. Soc. Am., 17(4), 329–333.
Polubarinova-Kochina, P. Ya. (1962). Theory of ground water movement. (Translated from the Russian by J.M. Roger de Weist). Princeton Univ. Press, Princeton, NJ.
van Schilfgaarde, J. ed., (1974). Drainage for agriculture. monogr. 17, American Society of Agronomy, Madison, WI.
Skaggs, R. W., and van Schilfgaarde, J., eds. (1999). Agricultural drainage. monogr. 38, American Society of Agronomy, Madison, WI.
Silliman, S. E., Berkowitz, B., Simunek, J., and van Genuchten, M. Th. (2002). “Fluid flow and solute migration within the capillary fringe.” Ground Water, 40(1), 76–84.
Twarakavi, N. K. C., Šimůnek, J., and Seo, S. (2008). “Evaluating interactions between groundwater and vadose zone using the HYDRUS-based flow package for MODFLOW.” Vadose Zone J., 7(2), 757–768.
Vedernekov, V. V. (1939). “Seepage theory and its applications in the field of irrigation and drainage state press.” (in Russian).
Youngs, E. G. (1965). “A comparison of the performance of some plastic and tile drains.” J. Agric. Eng. Res., 10(3), 202–203.
Youngs, E. G. (1970). “Hodograph solution of the drainage problem with very small drain diameter.” Water Resourc. Res., 6(2), 594–600.
Youngs, E. G. (1983). “The contribution of physics to land drainage.” J. Soil Sci., 34(1), 1–21.
Youngs, E. G. (1984). “Developments in the physics of land drainage.” J. Agric. Eng. Res., 29(2), 167–175.
Youngs, E. G., and Leeds-Harrison, P. B. (2000). “Improving efficiency of desalization with subsurface drainage.” J. Irrig. Drain. Eng., 126(6), 375–380.
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© 2012 American Society of Civil Engineers.
History
Received: Feb 21, 2011
Accepted: Feb 28, 2012
Published online: Mar 3, 2012
Published in print: Sep 1, 2012
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