Water Table Fluctuation between Drains in the Presence of Exponential Recharge and Depth-Dependent Evapotranspiration
Publication: Journal of Irrigation and Drainage Engineering
Volume 133, Issue 2
Abstract
A linearized form of the Boussinesq equation was solved analytically to predict the water table fluctuation in subsurface drained farmland in the presence of recharge and evapotranspiration (ET). The recharge was assumed to be variable with time and the ET considered decreasing linearly with a decrease in the water table height above the drains. The proposed analytical solution was verified for special cases with the existing solutions. There was a close match between the solutions. Applications of the solution in prediction of the water table height in a drainage system are illustrated with the help of physical examples.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The first writer is highly thankful to the Head, Irrigation and Drainage Engineering Division and the Director, Central Institute of Agricultural Engineering, Bhopal and Indian Council of Agricultural Research, New Delhi, India, for granting study leave and sponsoring him to carry out studies toward a doctoral degree at G. B. Pant University of Agriculture and Technology, Pantnagar (Uttaranchal), India.
References
Baumann, P. (1952). “Groundwater movement controlled through spreading.” Trans. Am. Soc. Civ. Eng., 117, 1024–1074.
Boussinesq, J. (1904). “Recherches theoretiques sur l’ecoulement des nappes d’eau infiltree’s dans le sol et sur le debit des sources.” J. Math. Pures Appl., Series 5, Tome X, 5–78 (in French).
Chauhan, H. S., Schwab, G. O., and Hamdy, M. Y. (1968). “Analytical and computer solutions of transient water tables for drainage of sloping land.” Water Resour. Res., 4(3), 573–579.
Luthin, J. N., and Guitjens, J. C. (1967). “Transient solutions for drainage of sloping land.” J. Irrig. and Drain. Div., 93(3), 43–51.
Maasland, M. (1959). “Water table fluctuations induced by intermittent recharge.” J. Geophys. Res., 64(5), 549–559.
Marino, M. A. (1974). “Rise and decline of water table induced by vertical recharge.” J. Hydrol., 23, 289–298.
Mustafa, S. (1987). “Water table rise in a semiconfined aquifer due to surface infiltration and canal recharge.” J. Hydrol., 95, 269–276.
Ozisik, M. N. (1980). Heat conduction, Wiley, New York.
Rai, S. N., and Singh, R. N. (1996). “Analytical modeling of unconfined flow induced by time varying recharge.” Proc. Indian Natl. Sci. Acad. India, 62(A4), 253–292.
Sewa Ram, and Chauhan, H. S. (1987). “Analytical and experimental solutions for drainage of sloping lands with time varying recharge.” Water Resour. Res., 23(6), 1090–1096.
Singh, R. K., Prasher, S. O., Chauhan, H. S., Gupta, S. K., Bonnell, R. B., and Madramoottoo, C. A. (1996). “An analytical solution of the Boussinesq equation for subsurface drainage in the presence of evapotranspiration.” Trans. ASAE, 39(3), 953–960.
Singh, R. N., Rai, S. N., and Ramana, D. V. (1991). “Water table fluctuation in a sloping aquifer with transient recharge.” J. Hydrol., 126(3–4), 315–326.
Singh, S. K., and Singh, S. (2000). “Subsurface drainage with parabolic recharge and variable ET.” Proc., National Conf. on Recent Advances in Hydraulic and Water Resource Engineering, HYDRO-2000, Kurukshetra, India, 446–451.
Singh, S. R., and Jacob, C. M. (1977). “Transient analysis of phreatic aquifer lying between two open channels.” Water Resour. Res., 13(2), 411–419.
Skaggs, R. W. (1975). “Drawdown solution for simultaneous drainage and ET.” J. Irrig. and Drain. Div., 101(4), 279–291.
Upadhyaya, A., and Chauhan, H. S. (2000). “An analytical solution for bi-level drainage design in the presence of evapotranspiration.” Agric. Water Manage., 45, 169–184.
Upadhyaya, A., and Chauhan, H. S. (2001). “Falling water tables in horizontal/sloping aquifer.” J. Irrig. Drain. Eng., 127(6), 378–384.
Van Schilfgaarde, J. (1965). “Transient design of drainage system.” J. Irrig. and Drain. Div., 91(3), 9–22.
Verma, A. K., Gupta, S. K., Singh, K. K., and Chauhan, H. S. (1998). “An analytical solution for design of bi-level drainage systems.” Agric. Water Manage., 37, 75–92.
Information & Authors
Information
Published In
Copyright
© 2007 ASCE.
History
Received: Oct 20, 2003
Accepted: Mar 17, 2006
Published online: Apr 1, 2007
Published in print: Apr 2007
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.