TECHNICAL PAPERS
Jul 1, 1994

Unsteady Drainage with Variable Drainage Porosity

Publication: Journal of Irrigation and Drainage Engineering
Volume 120, Issue 4

Abstract

Presently available solutions of the one‐dimensional unsteady‐state ground‐water flow equation (Boussinesq equation) have been obtained by treating the drainable porosity f as a constant. Experimental evidence however, indicates that f is a function of hydraulic head h. An experimentally determined fh relationship was incorporated in the Boussinesq equation. The equation was solved by using the extrapolated Crank‐Nicholson's difference scheme for predicting the spatial and temporal water‐table behavior. The predicted hydraulic heads were compared with the other available solutions of the Boussinesq equation obtained by treating f as a constant and with the observed data in two different sand tank model studies. The average absolute deviation between the predicted and the observed water‐table depths was reduced by over 70% when the present approach was used as compared to when f was treated as a constant.

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References

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 120Issue 4July 1994
Pages: 703 - 715

History

Received: Oct 15, 1992
Published online: Jul 1, 1994
Published in print: Jul 1994

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Authors

Affiliations

Rajendra K. Gupta
PhD Student, Post Graduate School, Indian Agric. Res. Inst., New Delhi‐110 012, India
Ashim K. Bhattacharya
Prin. Sci., Water Tech. Ctr., Indian Agric. Res. Inst., New Delhi, India
Pitam Chandra
Senior Sci., Div. of Agric. Engrg., Indian Agric. Res. Inst., New Delhi, India

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