TECHNICAL PAPERS
Mar 1, 1994

Comparison of Models for Subsurface Drainage in Flat and Sloping Lands

Publication: Journal of Irrigation and Drainage Engineering
Volume 120, Issue 2

Abstract

Most models for subsurface drainage in flat lands are based on the Boussinesq equation. This paper compares a semianalytical model called SIDRA, which assumes a constant water‐table shape during the period of water table recession, to a model called SLOP, which is based on a numerical solution to the Boussinesq equation. Solutions were obtained for both steady‐state and transient drainage events on flat lands and for drainage under steady‐state recharge on sloping lands. The two models were in excellent agreement for steady‐state and transient drainage on flat lands. Differences in the shape factors calculated from the two models were always less than 4%. The implicit solutions in SIDRA were also in good agreement with SLOP for sloping lands. The numerical solutions in SLOP were reliable for low slopes but were unstable for conditions in which the streamlines cannot be considered horizontal.

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References

1.
Boussinesq, J. (1877). Essai sur la théorie des eaux courantes. Académie des Sciences de Paris, 23, Paris, France (in French).
2.
Boussinesq, J. (1904). “Recherches théoriques sur l'écoulement des nappes d'eau infiltrées dans le sol; compléments.” Journal de mathématiques pures et appliquées, Paris, France, 10(2), 5–78; 10(4), 363–394 (in French).
3.
Guitjens, J. C., and Luthin, J. N. (1965). “Viscous model study of drain spacing on sloping land and comparison with mathematical solution.” Water Resour. Res., 1(4), 523–530.
4.
Guyon, G. (1964). “Considérations sur l'hydraulique des nappes de drainage par canalisations souterraines.” Théorie et Expérimentation. Bulletin Technique de Génie Rural, Paris, France, 65 (in French).
5.
Guyon, G. (1980). “Transient state equations of water‐table recession in heterogeneous and anisotropic soils.” Trans. ASAE, 23(3), 653–656.
6.
Lesaffre, B. (1987). “Analytical formulae for traverse drainage of sloping lands with constant rainfall.” Irrig. and Drain. Systems, 1, 105–121.
7.
Lesaffre, B., and Zimmer, D. (1988). “Subsurface drainage peak‐flows in shallow soils.” J. Irrig. and Drain. Engrg., ASCE, 114(3), 387–406.
8.
Lesaffre, B. (1989). “Fonctionnement hydrologique et hydraulique du drainage souterrain des sols temporairement engorgés,” PhD thesis, Etudes du CEMAGREF, Paris, France (in French).
9.
Moody, W. T. (1967). “Nonlinear differential equation of drain spacing.” J. Irrig. and Drain. Div., ASCE, 92(2), 1–9.
10.
Schmid, P., and Luthin, J. (1964). “The drainage of sloping lands.” J. Geophysical Res., 69(8), 1525–1529.
11.
Skaggs, R. W. (1975). “Drawdown solutions for simultaneous drainage and ET.” J. Irrig. and Drain. Div., ASCE, 101(4), 279–291.
12.
Skaggs, R. W., and Tang, Y. K. (1976). “Saturated and unsaturated flow to parallel drains.” J. Irrig. and Drain. Div., 102(2), 221–238.
13.
Tzimopoulos, C. (1976). “Solution de l'équation de Boussinesq par une méthode des éléments finis.” J. Hydro., 30, 1–18.
14.
Van Schilfgaarde, J. (1963). “Design of tile drainage for falling water tables.” J. Irrig. and Drain. Div., ASCE, 89(2), 1–11.
15.
Wooding, R. A., and Chapman, T. G. (1966). “Groundwater flow over a sloping impermeable layer. 1: application of the Dupuit‐Forchheimer Assumption.” J. Geophysical Res., 71(12), 2895–2902.

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Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 120Issue 2March 1994
Pages: 266 - 277

History

Received: Nov 9, 1992
Published online: Mar 1, 1994
Published in print: Mar 1994

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Authors

Affiliations

E. Lorre
Agric. Engr., Drain. Div., CEMAGREF, 92185 Antony Cedex, France
B. Lesaffre
Agric. Engr., Sci. Dir., CEMAGREF, 92160 Antony, France
R. W. Skaggs
Prof., Dept. of Biological and Agric. Engrg., North Carolina State Univ., Raleigh, NC 27695

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