Hybrid Finite Analytic Solution for Computation of Spacing between Drains in Sloping Lands
Publication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 2
Abstract
Rise in groundwater and salinity levels causes water congestion and soil salinization in the root zone of the crop, which adversely affects the growth and development process of plants, leading to reduced production. Thus, water table and salinity should not be allowed to encroach and occupy root zone longer than the crop tolerance period, and a suitable technique should be adopted for its control. Subsurface drainage seems a feasible alternative to overcome such a problem. In the present study, hybrid finite analytic solution of a one-dimensional Boussinesq equation incorporating evapotranspiration has been obtained to describe spatial and temporal variation of water table between two drains in a sloping unconfined aquifer. Assuming the unsteady state drainage criteria of a 30 cm fall of water table within 2 days once it has reached near the land surface, the spacing between two drains has been computed, and the effect of slope of the impermeable barrier, evapotranspiration (ET), depth dependent reduction factor on spacing, and water table fall has been studied and discussed with the help of a numerical example. It was observed that consideration of ET and the slope of the impermeable barrier results in an increase in spacing between two drains and economizes the design. Fall of water table in the midregion computed by hybrid finite analytic solution is faster than the fall computed by existing analytical solution. Similarly, spacing between drains computed by hybrid finite analytic solution is more than the spacing computed by the existing analytical solution.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chen, C. J. (1988). “Finite analytic method.” Handbook of numerical heat transfer, W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher, eds., Wiley, New York, 723–746.
Schmid, P., and Luthin, J. (1964). “The drainage of sloping lands.” J. Geophys. Res., 69(8), 1525–1529.
Upadhyaya, A., and Chauhan, H. S. (2000a). “Drain spacing computation in sloping lands—An analytical approach.” Proc., Int. Conf. on Integrated Water Resources Management for Sustainable Development, National Institute of Hydrology, Roorkee, India, 219–228.
Upadhyaya, A., and Chauhan, H. S. (2000b). “Solutions for subsurface drainage of sloping lands.” Proc., 8th Int. Drainage Workshop, Vol. II, Ministry of Water Resources, New Delhi, India, 223–236.
Upadhyaya, A., and Chauhan, H. S. (2001). “Falling water tables in horizontal/sloping aquifer.” J. Irrig. Drain. Eng., 127(6), 376–384.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Mar 6, 2011
Accepted: Jul 20, 2012
Published online: Jul 27, 2012
Published in print: Feb 1, 2013
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.