Analytical Solutions of Seepage into Ditches from Ponded Fields
Publication: Journal of Irrigation and Drainage Engineering
Volume 121, Issue 6
Abstract
A steady-state theory is developed for the seepage of ponded water into equally spaced drainage ditches in a homogeneous and anisotropic soil overlying an impervious barrier. Solutions are obtained for two general cases of the problem: (1) zero depth of ponded water; and (2) finite depth of ponded water. Equations of the hydraulic head, the stream function, the surface inflow velocity distribution, and the seepage rate per unit length of a ditch are derived for both cases of the problem. A verification of the proposed solution for case 1 is made by comparing a few results obtained from it with corresponding results obtained from the analytical and experimental works of Fukuda (1957).
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References
1.
Barua, G. (1991). “Analytical model for prediction of flow to ditches from ponded fields,” M.Tech. thesis, Indian Institute of Technology, Kharagpur, India.
2.
Barua, G., and Tiwari, K. N. (1992). “Analytical prediction of seepage into ditches from ponded fields.”Proc., Nat. Seminar on Soil Moisture Processes and Modelling, Agric. Engrg. Dept., I.I.T. Kharagpur, India, 39–50.
3.
Bear, J. (1975). Dynamics of fluids in porous media . American Elsevier Publ. Co., Inc., New York, N.Y.
4.
Dwight, H. B. (1961). Tables of integrals and other mathematical data, Fourth Ed., The Macmillan Company, New York, N.Y.
5.
Fukuda, H.(1957). “Underdrainage into ditches in soil overlying an impervious substratum.”Trans. Am. Geophys. Union, 38, 730–739.
6.
Kirkham, D.(1950). “Seepage into ditches in the case of a plane water table and an impervious stratum.”Trans., Am. Geophys. Union, 31, 425–430.
7.
Kirkham, D.(1960). “Seepage into ditches from a plane water table overlying a gravel substratum.”J. Geophys. Res., 65, 1267–1272.
8.
Kirkham, D.(1965). “Seepage of leaching water into drainage ditches of unequal water level heights.”J. Hydro., 3, 207–224.
9.
Kirkham, D., and Powers, W. L. (1972). Advanced soil physics . Wiley-Interscience, Inc., New York, N.Y., 52–57.
10.
Kirkham, D., Toksoz, S., and Van Der Ploeg, R. R. (1974). “Steady flow to drains and wells.”Drainage for agriculture, Jan Van Schilfgaarde, ed., American Society of Agronomy, Madison, Wis., Vol. 17, 229–234.
11.
Kirkham, D., and Van Bavel, C. H. M.(1948). “Theory of seepage into auger holes.”Proc., Soil Sci. Soc. of Am., 13, 75–82.
12.
Maasland, M. (1957). “Soil anisotropy and land drainage.”Drainage of agricultural lands. J. N. Luthin, ed., American Society Agronomy, Madison, Wis., Vol. 7, 258–262.
13.
Scarborough, J. B. (1966). Numerical mathematical analysis, Sixth Ed., Oxford & IBH Publ. Co., Pvt. Ltd., New Delhi, India, 269–296.
14.
Warrick, A. W., and Kirkham, D.(1969). “Two-dimensional seepage of ponded water to full ditch drains.”Water Resour. Res., 5, 685–693.
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 121 • Issue 6 • November 1995
Pages: 396 - 404
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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