Unsteady Solution for Well Recharge in a Low Diffusive Aquifer
Publication: Journal of Irrigation and Drainage Engineering
Volume 136, Issue 12
Abstract
Finite aquifer solution exists for the constant head in a fully penetrating well. Their use for well recharge is limited, as they do not permit simultaneous computation of unsteady wellhead pressure and variable recharge rate. In the present paper semianalytical solutions are presented for well recharge under variable head boundary condition. These solutions were developed using the method of separation of variables and Duhamel’s convolution theorem. The solution developed in the paper was verified with the Jacob-Lohman solution and subsequently validated using field data pertinent to constant-head boundary conditions. Subsequently for variable head boundary condition such an appropriate background was found missing in the literature.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abramowitz, M., and Stegun, I. A. (1968). Handbook of mathematical functions, Dover, New York.
Batu, V. (1998). Aquifer hydraulics, Wiley, New York.
Hantush, M. S. (1964). Advances in hydroscience: Hydraulics of wells, Academic, New York.
Jacob, C. E., and Lohman, S. W. (1952). “Non-steady flow to a well of constant drawdown in an extensive aquifer.” Trans., Am. Geophys. Union, 33, 559–569.
Lee, T. C. (1999). Applied mathematics in hydrogeology, Lewis, Boca Raton, Fla.
Lohman, S. W. (1965). “Geology and artesian water supply of the Grand Junction area, Colorado (Table 6 and 7, well 28).” USGS Professional Paper 451 (149), USGS, Lakewood, Colo.
Majumdar, P. K., and Mishra, G. C. (2007). “Estimation of aquifer diffusivity from single recharge test observation.” Proc., National Conf. on Hydraulics and Water Resources, HYDRO-2007, Surat, India.
Morel-Seytoux, H. J., and Dally, C. J. (1975). “A discrete kernel generator for streamaquifer studies.” Water Resour. Res., 11(2), 253–260.
Muskat, M. (1946). The flow of homogeneous fluids through porous media, J. W. Edwards, Ann Arbor, Mich.
Raghavan, R. (1993). Well test analysis, Prentice-Hall, Englewood Cliffs, N.J.
Renard, P. (2005). “Approximate discharge for constant head test with recharging boundary.” Ground Water, 43(3), 439–442.
Smith, L. P. (1937). “Heat flow in an infinite solid bounded internally by a cylinder.” J. Appl. Phys., 8, 441–448.
Wang, Y., and Dusseault, M. B. (1991). “The effect of quadratic gradient terms on the borehole solution in poroelastic media.” Water Resour. Res., 27(12), 3215–3223.
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Jun 11, 2009
Accepted: Apr 16, 2010
Published online: Apr 19, 2010
Published in print: Dec 2010
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.