Ditch Drainage Theories for Homogeneous Anisotropic Soil
Publication: Journal of Irrigation and Drainage Engineering
Volume 122, Issue 5
Abstract
The problem of seepage of steady rainfall or irrigation recharge into a homogeneous and anisotropic soil medium, drained by equally spaced ditch drains overlying a barrier, is solved. Two general cases of the problem are considered: (1) ditch drains dug down to an impermeable barrier; and (2) ditch drains dug down to a gravel substratum. The proposed solutions are exact in the sense that they are based on potential theory and account for the surface of seepage. The validity of the proposed solution for the first case is tested by comparing the midway water-table heights obtained from it for some specific drainage situations with the corresponding upper and lower theoretical bounds of Youngs. The accuracy of the proposed analytical model for the first case is further tested by comparing the midway water-table height obtained from it for a specific drainage situation with the corresponding height obtained from other numerical work.
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References
1.
Barua, G., and Tiwari, K. N.(1995). “Theories of seepage into auger holes in homogeneous anisotropic soil.”J. Hydro., Amsterdam, The Netherlands, 167, 1–22.
2.
Bazaraa, A. S.(1986). “Artesian and anisotropic effects on drain spacing.”J. Irrig. and Drain. Engrg., 112(1), 55–64.
3.
Bear, J. (1975). Dynamics of fluids in porous media, 2nd Ed., Elsevier Publishing Co., Inc., New York, N.Y., 234.
4.
Bouwer, H., and Jackson, R. D. (1974). “Determining soil properties.”Drainage for agriculture, Jan Van Schilfgaarde, ed., Am. Soc. of Agronomy, Madison, Wis., Vol. 17, 611–672.
5.
Childs, E. C.(1945). “The water table, equipotentials and streamlines in drained land, III.”J. Soil Sci., 59, 405–415.
6.
Childs, E. C. (1969). An introduction to the physical basis of soil water phenomena . John Wiley & Sons, Inc., New York, N.Y., 357–380.
7.
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, 316–331.
8.
Engelund, F.(1951). “Mathematical discussion of drainage problems.”Trans. Dan. Acad. Tech. Sci., 3, 1–64.
9.
Gureghian, A. B., and Youngs, E. G.(1975). “The calculation of steady state water table heights in drained soils by means of the finite element method.”J. Hydro., Amsterdam, The Netherlands, 27, 15–32.
10.
Kirkham, D.(1966). “Steady-state theories for land drainage.”J. Irrig. and Drain. Div., ASCE, 92(1), 19–39.
11.
Kirkham, D., and Powers, W. L. (1964). “An exact theory of seepage of steady rainfall into tile or ditch drained land.”Trans., 8th Int. Congr. for Soil Sci., 39–44.
12.
Kirkham, D., and Powers, W. L. (1972). Advanced soil physics . John Wiley & Sons, Inc., New York, N.Y., 52–57.
13.
Lovell, C. J., and Youngs, E. G.(1984). “A comparison of steady-state land-drainage equations.”Agric. Water Mgmt., 11, 1–21.
14.
Maasland, M. (1957). “Soil anisotropy and land drainage.”Drainage of agricultural lands, J. N. Luthin, ed., Am. Soc. of Agronomy, Madison, Wis., Vol. 7, 258–262.
15.
Miles, J. C., and Kitmitto, K.(1989). “New drain flow formula.”J. Irrig. and Drain. Engrg., 115(2), 215–230.
16.
Smedema, L. K.(1985). “Use of the Hooghoudt formula for drain spacing calculations in homogeneous-anisotropic soils.”Agric. Water Mgmt., 10, 283–291.
17.
Youngs, E. G.(1965). “Horizontal seepage through unconfined aquifers with hydraulic conductivity varying with depth.”J. Hydro., Amsterdam, The Netherlands, 3, 283–296.
18.
Youngs, E. G.(1975). “The effect of the depth of an impermeable barrier on water table heights in drained homogeneous soils.”J. Hydro., Amsterdam, The Netherlands, 24, 283–290.
19.
Youngs, E. G.(1986). “Water-table heights in drained anisotropic homogeneous soils.”Agric. Water Mgmt., 11, 1–11.
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Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 122 • Issue 5 • October 1996
Pages: 276 - 285
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Oct 1, 1996
Published in print: Oct 1996
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