Functional Relationship to Describe Drains with Entrance Resistance
Publication: Journal of Irrigation and Drainage Engineering
Volume 127, Issue 6
Abstract
Numerical flow models usually represent drains as a system dependent boundary condition. If soil is saturated, drains act as the Dirichlet boundary condition with pressure head set equal to zero, and if soil is unsaturated, drains act as the Neumann boundary condition with flow set equal to zero. The underlying assumption is that drains exhibit ideal behavior. In reality, however, this is generally not so, and the flow encounters additional resistances due to pipe slotting and clogging of the envelope material around the drains. To account for the resulting resistance, a Hooghoudt-type boundary condition was developed that prescribes drain flow in relation to the groundwater level at a reference position. The measured drain discharge in an old drainage system was compared with calculated discharge assuming an ideal drain. It was found that the ideal drain assumption led to large errors in simulated discharge. With a correctly formulated and calibrated Hooghoudt boundary condition, however, more accurate drain discharges were obtained.
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References
1.
Abbaspour, K. C., van Genuchten, M. Th., Schulin, R., and Schläppi, E. ( 1997). “A sequential uncertainty domain inverse procedure for estimating subsurface flow and transport parameters.” Water Resour. Res., 33, 1879–1892.
2.
Bentley, W. J., and Skaggs, R. W. (1993). “Changes in entrance resistance of subsurface drains.”J. Irrig. and Drain. Engrg., ASCE, 119(3), 584–599.
3.
Cavelaars, J. C., Voltman, W. F., and Spoor, G. ( 1994). “Subsurface drainage systems.” Drainage principles and applications, 2nd Ed., H. P. Ritzema, ed., ILRI, Wageningen, The Netherlands, 827–929.
4.
Childs, E. C., and Youngs, E. G. ( 1958). “The nature of the drain channel as a factor in the design of a land-drainage system.” J. Soil Sci., 9(2), 316–331.
5.
Dierickx, W. ( 1980). “Electrolytic analogue study of the effect of openings and surrounds of various permeability on the performance of field drainage pipes.” Rijksstation voor Landbouwtechniek, Publ. 77, Dissertation, Wageningen, The Netherlands.
6.
El Gamal, H., Abddel-Dayem, S., and Dierickx, W. (1995). “The effect of standing water above drains on the water table height midway between drains.”J. Irrig. and Drain. Sys., 9, 59–72.
7.
Fipps, G., Skaggs, R. W., and Nieber, J. L. ( 1986). “Drain as a boundary condition in finite element.” Water Resour. Res., 22(11), 1613–1621.
8.
Hooghoudt, S. B. ( 1940). “Algemeene beschouwing van het probleem van de detailontwatering en de infiltratie door middle van parallel loopende drains, greppels, slooten, en kanalen.” Versl. Landbouwk. Onderz., Algemeene Landsdrukkerij, `s-Gravenhage, The Netherlands, 46(14)B (in Dutch).
9.
Moody, W. T. (1966). “Nonlinear differential equation of drain spacing.”J. Irrig. and Drain. Div., ASCE, 92(2), 1–9.
10.
Oosterbaan, R. J., and Nijland, H. J. ( 1994). “Determining the saturated hydraulic conductivity.” Drainage principles and applications, 2nd Ed., H. P. Ritzema, ed., ILRI, Wageningen, The Netherlands, 435–476.
11.
Oosterbaan, R. J., Pissarra, A., and van Alphen, J. G. ( 1989). “Hydraulic head and discharge relations of pipe drainage systems with entrance resistance.” Proc., 15th Eur. Regional Conf. on Agric. Water Mgmt., Vol. III, ICID, Dubrovnik, Croatia, 86–98.
12.
Ritzema, H. P. ( 1994). “Subsurface flow to drains.” Drainage principles and applications. 2nd Ed., H. P. Ritzema, ed., ILRI, Wageningen, The Netherlands, 263–304.
13.
Simunek, J., Vogel, T., and van Genuchten, M. Th. ( 1994). “The SWMS _2D code for simulating water flow and solute transport in two-dimensional variably saturated media.” Res. Rep. 132, U.S. Salinity Lab., Agric. Res. Service, U.S. Department of Agriculture, Riverside, Calif.
14.
Sneyd, A. D., and Hosking, R. J. ( 1976). “Seepage flow through homogeneous soil into a row of drain pipes.” J. Hydrol., Amsterdam, 30, 127–146.
15.
Stuyt, L. C. P. M., Dierickx, W., and Martinez Beltran, J. ( 2000). “Materials for subsurface land drainage systems.” FAO Irrig. and Drain. Paper 60, Food and Agricultural Organization of the United Nations, Rome.
16.
Vimoke, B. S., and Taylor, G. S. ( 1962). “Simulating water flow in soil with an electric resistance network.” Rep. 41-65, Soil and Water Conservation Res. Div., U.S. Agricultural Research Service, Columbus, Ohio.
17.
Youngs, E. G. ( 1980). “The analysis of groundwater seepage in heterogeneous aquifers.” Hydro. Sci. Bull., 25, 155–165.
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Received: Jul 21, 2000
Published online: Dec 1, 2001
Published in print: Dec 2001
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