Predicted and experimental water table drawdown during tile drainage
Authors
Wilfried BrutsaertGeorge S. Taylor
James N. Luthin
Authors Affiliations
Wilfried Brutsaert was Research Assistant, Department of Irrigation, Davis; George S. Taylor was Formerly Visiting Associate Professor (Ohio State University), Department of Irrigation, Davis; James N. Luthin was Professor, Department of Irrigation, Davis.Publication Information
Hilgardia 31(11):389-418. DOI:10.3733/hilg.v31n11p389. November 1961.
PDF of full article, Cite this article
Abstract
Comparisons were made between experimental and predicted positions of the water table during drawdown by drains. Experimental positions were obtained from tank drainage data. The predicted water table positions were determined with a modified form of the Kirkham-Gaskell equation for drawdown. An electrical resistance network was used to obtain the components of the potential gradient which are required by this equation. Two modifications were made in the Kirkham-Gaskell equation: The capillary fringe replaced the water table as the upper boundary of the region in which flow occurred. Instead of using a constant drainable porosity, one was used which related drainable pore space to the water table depth.
The agreement between experimental and predicted positions of the water table was good. When either of the aforementioned modifications was not made, significant discrepancies were noted. There was considerable deviation in both shape and mean position of the water table when a constant porosity was used in the theory.
The proposed equation for drawdown offers a sound basis for studying drawdown by drains. An electrical resistance network as used in this study is convenient for eliminating the tedious calculations which are required by the equation. Because of extensive calculations, the theory is still not suited for design purposes. It will serve its greatest role in evaluating more practical drawdown equations.
Literature Cited
Aronovici V. S., Donnan W. W. Soil permeability as a criterion for drainage design. Amer. Geophys. Union Trans. 1946. 27:95-101. DOI: 10.1029/TR027i001p00095 [CrossRef]
Childs E. C. The water table, equipotentials and streamlines in drained land: V. The moving water table. Soil Sci. 1947. 63:361-76. DOI: 10.1097/00010694-194705000-00004 [CrossRef]
Day Paul R., Luthin James N. A numerical solution of the differential equation of flow for a vertical drainage problem. Soil Sci. Soc. Amer. Proc. 1956. 20:443-47. DOI: 10.2136/sssaj1956.03615995002000040001x [CrossRef]
Dumm Lee D. New formula for determining depth and spacing of subsurface drains on irrigated lands. Agr. Engin. 1954. 35:726-30.
Kirkham Don, Gaskell R. E. The falling water table in tile and ditch drainage. Soil Sci. Soc. Amer. Proc. 1951. 15:37-42.
Luthin James N. An electrical resistance network solving drainage problems. Soil Sci. 1953. 75:259-74. DOI: 10.1097/00010694-195304000-00002 [CrossRef]
Luthin James N. The falling water table in tile drainage. II. Proposed criteria for spacing tile drains. Amer. Soc. Agr. Engin. Trans. 1959. 2:44-45.
Luthin James N., Gaskell R. E. Numerical solutions for tile drainage of layered soil. Amer. Geophys. Union Trans. 1950. 31:595-602. DOI: 10.1029/TR031i004p00595 [CrossRef]
Luthin James N., Miller Robert D. Pressure distribution in soil columns draining into the atmosphere. Soil Sci. Soc. Amer. Proc. 1953. 17:329-33.
Luthin James N., Worstell Robert V. The falling water table in tile drainage—A laboratory study. Soil Sci. Soc. Amer. Proc. 1957. 21:580-84.
Muskat M. Flow of homogeneous fluids through porous media. 1946. Ann Arbor, Mich.: J. W. Edwards. 763p. DOI: 10.1097/00010694-193808000-00008 [CrossRef]
Spöttle J. Landwirtschaftliche Bodenverbesserungen, Handb d. Ingen. Wiss., Part 3, Der Wasserbau. 1911. 7:1-470. 4th ed. Wilhelm Engelmann, Leipzig
Visser W. C. De grondslagen van de drainage berekening. Landbouwk. Tijdschr. 1953. 65:66-81.
Walker Phelps. Depth and spacing for drain laterals as computed from core-sample permeability measurements. Agr. Engin. 1952. 33:71-73.
Worstell Robert V., Luthin James N. A resistance network analog for studying seepage problems. Soil Sci. 1959. 88:267-69. DOI: 10.1097/00010694-195988050-00005 [CrossRef]
Also in this issue:
Setting research goals is a team effortPheromone traps to suppress populations of the smaller European elm bark beetle
Damping-off in cotton controlled with combination seed treatment fungicides
Barley, wheat, and triticale responses to planting date and seeding rate
Diagnostic service identifies insect pathogens
Projection of California fertilizer use to 1985
Post-harvest codling moth infestion on pears—a potential threat for next year's crop
Sunflower resistance to the sunflower moth
Deer-sheep combination improves range use