TECHNICAL PAPERS
May 15, 2002

Water Table Rise in Sloping Aquifer due to Canal Seepage and Constant Recharge

Publication: Journal of Irrigation and Drainage Engineering
Volume 128, Issue 3

Abstract

Analytical solutions of the linearized Boussinesq equation and a fully implicit finite-difference numerical solution of the nonlinear Boussinesq equation were obtained to study transient and steady-state water table rise in a homogeneous, isotropic, and incompressible unconfined sloping aquifer. The rise was due to seepage from two canals located at different elevations above the sloping impermeable barrier and constant recharge from the land surface. Proposed analytical solutions were verified with existing analytical solutions for a horizontal aquifer and were found in close agreement. The effect of recharge and slope of the impermeable barrier on water table rise predicted by both analytical and numerical solutions was studied by considering a numerical example. The effect of the linearization of the Boussinesq equation on water table rise was also studied by comparing the water table heights predicted by the numerical solution with those computed from the analytical solution. The analytical solution overestimates water table elevations compared to those obtained from the numerical solution, and the difference in water table in the middle region decreases with increase in time.

Get full access to this article

View all available purchase options and get full access to this article.

References

Boussinesq, J. (1904). “Recherches theoretiques sur l’ecoulement des nappes d’eau infiltrees dans le sol et sur le debit des sources.” J. Math, Pures Appl., Series 5, Tome X (in French).
Gill, M. A.(1984). “Water table rise due to infiltration from canals.” J. Hydrol., 70, 337–352.
Hantush, M. S.(1967). “Growth and decay of ground water mounds in response to uniform percolation.” Water Resour. Res., 3(1), 227–234.
Jain, M. K., Iyenger, S. R. K., and Jain, R. K. (1994). Computational methods for partial differential equations, Wiley, New Delhi.
Kraijenhoff van de Leur, D. A.(1958). “A study of non-steady ground water flow with special reference to a reservoir coefficient.” De Ingenieur, 70, 87–94.
Maasland, M.(1959). “Water table fluctuations induced by intermittent recharge.” J. Geophys. Res., 64, 549–559.
Manglik, A., Rai, S. N., and Singh, R. N.(1997). “Response of an unconfined aquifer induced by time varying recharge from a rectangular basin.” Water Resour. Manage., 11, 185–196.
Marino, M. A.(1974). “Rise and fall of water table induced by vertical infiltration 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, 71–72, 201–203.
Prenter, P. M. (1975). Spline and variational methods, Wiley, New York, 6–11.
Rai, S. N., and Singh, R. N.(1992). “Water table fluctuations in an aquifer system owing to time-varying surface infiltration and canal recharge.” J. Hydrol., 136, 381–387.
Rai, S. N., and Singh, R. N.(1995). “An analytical solution for water table fluctuation in a finite aquifer due to transient recharge from a strip basin.” Water Resour. Manage., 9, 27–37.
Ram, S., Jaiswal, C. S., and Chauhan, H. S.(1994). “Transient water table rise with canal seepage and recharge.” J. Hydrol., 163, 197–202.
Schmid, P. A., and Luthin, J.(1964). “The drainage of sloping lands.” J. Geophys. Res., 69, 1525–1529.
Upadhyaya, A. (1999). “Mathematical modelling of water table fluctuations in sloping aquifers.” PhD thesis, G.B. Pant Univ. of Agriculture and Technology, Pantnagar, U.P.-263145, India.
Upadhyaya, A., and Chauhan, H. S.(1998). “Comparison of numerical and analytical solutions of Boussinesq equation in semiinfinite flow region.” J. Irrig. Drain. Eng. 124(5), 265–270.
Upadhyaya, A., and Chauhan, H. S.(2000). “Solutions for subsurface drainage of sloping lands.” Proc., 8th ICID Int. Drainage Workshop, Vol. II, 223–236.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 128Issue 3June 2002
Pages: 160 - 167

History

Received: Aug 31, 2000
Accepted: Apr 16, 2001
Published online: May 15, 2002
Published in print: Jun 2002

Permissions

Request permissions for this article.

Authors

Affiliations

A. Upadhyaya
Senior Scientist, ICAR Research Complex for Eastern Region, WALMI Complex, Phulwari Sharif, Patna-801 505, Bihar, India.
H. S. Chauhan
AICTE Emeritus Fellow, Dept. of Irrigation and Drainage Engineering, G. B. Pant Univ. of Agriculture and Technology, Pantnagar-263 145, District Udham Singh Nagar, U.P., India.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share