TECHNICAL PAPERS
Jun 1, 1989

Nonlinear Steady State Seepage into Drains

Publication: Journal of Irrigation and Drainage Engineering
Volume 115, Issue 3

Abstract

Analytical solutions for water table profiles between drains and drain spacing formulas resulting from nonlinear seepage under steady rainfall recharge are presented. Nonlinear seepage conditions are introduced in the derivation of the equations, which are found to be generalizations of those conventionally used on the basis of Darcy's linear law. The validity of the equations derived was established in a series of experiments on a sand tank seepage flow model in which nonlinear flow conditions were generated, giving rise to actual water‐table profiles. The equations derived herein were found to show close agreements with experimental results and with similar studies reported by some authors, and to provide for greater economy in the design of drainage systems.

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References

1.
Anandakrishnan, M., and Varadarajulu, G. H. (1963). “Laminar and turbulent flow of water through sand. I.” J. Soil Mech. and Foundation Div., ASCE, 89, 1–15.
2.
Arbhabhirama, A., and Dinoy, A. A. (1973). “Friction factor and Reynold's number in porous media flow.” J. Hydr. Div., ASCE, 99(6), 901–911.
3.
Basak, P. (1976). “Steady non‐Darcian seepage through embarkments.” J. Irrig. and Drainage, ASCE, 103(4), 435–443.
4.
Basak, P. (1977). “Non‐Darcy flow and its implication to seepage problem.” J. Irrig. and Drainage, ASCE, 103(4), 459–473.
5.
Bear, J. (1972). “Dynamics of fluids in porous media.” American Elsevier, New York, N.Y.
6.
Bouwer, H. (1974). “Developing drainage design criteria.” Drainage for Agriculture, Van Schilfgaarde, ed., Amer. Soc. Agron., Inc., Monograph No. 17, Madison, Wis., 67–81.
7.
Gill, M. A. (1977). “Analysis of permeameter data to obtain parameters of non‐Darcy flow.” J. Hydrology 32, 165–173.
8.
Harding, S. W., and Wood, J. K. (1941). “Model tests of flow into drains.” Soil Sci. Soc. of Amer., 6, pp. 6–9.
9.
Kirkham, D. (1939). “Artificial drainage of land streamline experiments.” Trans., Amer. Geo. Union, 20.
10.
Kirkham, D. (1940). “Artificial drainage of land: Streamline experiments.” The Artesian Basin II. Amer. Geo. Union, 21, 587–593.
11.
Kirkham, D. (1945). “Artificial drainage of land: Streamline experiments.” The Artesian Basin III. Amer. Geo. Union, 26(3), 393–406.
12.
Lamb, H. (1932). Hydrodynamics. 6th Ed., Dover, N.J.
13.
Luthin, J. N., and Haig, A. (1971). “Some factors affecting flow into drain pipes.” Hilgardia 41(10), 235–245.
14.
Maasland, M. (1959). “Water table fluctuations induced by intermittent recharge.” J. Geo. Resh. 64(5), 549–559.
15.
Maasland, M. (1964). “Water table fluctuations induced by irrigation.” Trans., ASCE, 128(III), 142–161.
16.
Rafindadi, N. A. (1986). “Nonlinear analysis of seepage into drains induced by steady rainfall.” Thesis submitted to Department of Water Resources and Environmental Engineering, Ahmadu Bello University, at Zaria, Nigeria, in partial fulfillment for the requirements of the degree of Master of Science.
17.
Scheideggar, A. E. (1960). The physics of flow through porous media. Second Ed., Univ. of Toronto Press, Toronto, Canada.
18.
Todd, D. K. (1959). Groundwater hydrology. John Wiley, New York, N.Y.
19.
Van de Goor (1972). “Plant growth in relation to drainage.” In Drainage Principles and Applications I, Int. Inst. for Land Reclamation and Improvement, Publ. 16, Vol. 1, The Netherlands.
20.
Van Schilfgaarde, J. (1957). “Approximate solutions to drainage flow problems.” In Drainage of Agricultural Lands, J. N. Luthin, ed., 7, Amer. Soc. Agron. Inc.
21.
Van Schilfgaarde, J. (1965). “Transient design of drainage systems.” J. Irr. and Drainage Div., ASCE, 91(3), 9–22.
22.
Van Schilfgaarde, J. (1970). “Theory of flow to drains.” In Advances in Hydro‐Science, V. T. Chow, ed., 6, 43–106.
23.
Volker, R. E. (1975). “Solutions for unconfined, non‐Darcian seepage.” J. Irrg. and Drainage Div., 101(1), 53–65.
24.
Wright, D. E. (1968). “Nonlinear flow through granular media.” J. Hydr. Div., ASCE, 94(4), 851–872.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 115Issue 3June 1989
Pages: 358 - 376

History

Published online: Jun 1, 1989
Published in print: Jun 1989

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Authors

Affiliations

Salihu Mustafa
Dept. of Water Resour. and Envir. Engrg., Ahmadu Bello Univ., Zaria, Nigeria
N. A. Rafindadi
Ministry of Agric., Irrig. Div., Kaduna State, Nigeria

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