Ditch Drainage in Layered Soils
Publication: Journal of Irrigation and Drainage Engineering
Volume 117, Issue 2
Abstract
The assumption of considering the lower layer to be impervious, if its hydraulic conductivity is one‐fifth or less from that of the upper layer, leads to erroneous results. Many research workers have attempted solutions to the problem of subsurface drainage in layered soils with different boundary conditions. An alternate, simple, and explicit solution based on Girinsiky's potential has been proposed in this paper. Experimental data observed on a vertical Hele‐Shaw model have been used to verify the analytic results.
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References
1.
Aravin, V. I., and Numerov, S. N. (1965). Theory of motion of liquids and gases in undeformable porous media. Israel Program for Scientific Translation, Jerusalem, Israel.
2.
Dagan, G. (1965). “Steady drainage of a two‐layered soil.” J. Irrig. and Drainage Div., ASCE, 91(3), 51–64.
3.
Ernst, L. F. (1956). “Calculation of the steady flow of ground water in vertical crosssection.” Netherlands J. Agric. Sci., 4, 126–131.
4.
Ernst, L. F. (1962). “Ground water flow in the saturated zone and its calculation when parallel horizontal open conduits are present,” thesis presented to the Utrecht University, at Utrecht, The Netherlands, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Ernst, L. F. (1963). “The calculation of ground water flow between parallel open conduits.” Proc. and Informations, Committee for Hydrological Research TNO, 8, 48–68.
6.
Girinsiky, N. K. (1946). Complex potential of free surface flow in a layer of comparatively small thickness at (in Russian).
7.
Hooghoudt, S. B. (1940). “Bijdragen tot de knennis van eenige natuurkundige groothe den van den ground.” Algmeene bes chouwing van het problem van de detail onwatering on de infiltratie door middle van parallel loopende drains, greppels, slooten, en kanalen. Verslag. Landbouwk. Ond., The Netherlands, 46, 515–707.
8.
Khan, G. J. (1983). “Experimental investigation of drainage of two‐layered soils,” thesis, presented to G. B. Pant University of Agriculture and Technology, at Pantnagar, in partial fulfillment of the requirements for the degree of Master of Technology.
9.
Kirkham, D. (1951). “Seepage into drains in stratified soils. I. Drains in the surface stratum, II. Drains below the surface stratum.” Trans., American Geophysical Union, 32(3), 422–442.
10.
Kirkham, D. (1954). “Seepage of artesian and surface water into drain tubes in stratified soils.” Trans., American Geophysical Union, 35, 775–790.
11.
Kirkham, D. (1958). “Seepage of steady rainfall through soil into drains.” Trans., American Geophysical Union, 39, 892–908.
12.
Merva, G. E., Segarlind, L., Murase, H., and Fausey, N. R. (1983). “Finite element modeling for depth and spacing of drains in layered soil.” Trans., American Society of Agricultural Engineers, 26(2), 452–456.
13.
Najamii, M., Kirkham, D., and Dougal, M. D. (1978). “Tube drainage in stratified soil above an aquifer.” J. Irrig. and Drain. Div., ASCE, 104(2), 209–228.
14.
Polubarinova‐Kochina, P.‐Y. (1962). Theory of ground water movements. Princeton University Press, Princeton, N.J.
15.
Sharma, H. C. (1988). “Sub‐surface drainage of two‐layered soil.” thesis presented to the Indian Institute of Technology, at Delhi, India, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Singh, B., and O'Callaghan, J. R. (1978). “Non‐steady drainage in a layered soil.” J. Agric. Engrg., 23(4), 417–427.
17.
Tang, Y. K., and Skaggs, R. W. (1978). “Sub‐surface drainage in soils with high hydraulic conductivity layers.” Trans., American Society of Agricultural Engineers, 29(3), 515–521.
18.
Todd, D. K. (1954). “Unsteady flow in porous media by means of a Hele‐Shaw viscous fluid model.” Trans., American Geophysical Union, 35(6), 905–916.
19.
Toksov, S., and Kirkham, D. (1971a). “Steady drainage of layered soils. Part I, theory.” J. Irrig. and Drain. Div., ASCE, 97(1), 1–18.
20.
Toksoz, S., and Kirkham, D. (1971b). “Steady drainage of layered soils. Part II, Nomographs.” J. Irrig. and Drain. Div., ASCE, 97(1), 19–37.
21.
Van Beers, W. F. J. (1976). “Computing drain spacing.” Bull. No. 15, Int. Inst. or Land Reclamation and Improvement, Wageningen, The Netherlands.
22.
Walter, M. P., Black, R. D., and Zwerman, P. J. (1979). “Tile flow response in ayered soils.” Trans., ASCE, 22(3), 577–588.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 117 • Issue 2 • March 1991
Pages: 184 - 200
Copyright
Copyright © 1991 ASCE.
History
Published online: Mar 1, 1991
Published in print: Mar 1991
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