Drying front in a sloping aquifer: Nonlinear effects

Water Resources Research

Volumn 40, Issue 4, 2004, Pages

  Stagnitti, Frank ^a   Li, Ling ^b,c   Parlange, J Yves ^d   Brutsaert, Wilfried ^e   Lockington, David A ^b   Steenhuis, Tammo S ^d   Parlange, Marc B ^f   Barry, D A ^g   Hogarth, William L ^h  

^a DEAKIN UNIVERSITY   (Australia)

^b UNIVERSITY OF QUEENSLAND   (Australia)

^c HOHAI UNIVERSITY   (China)

^d Department of Biological and Environmental Engineering   (United States)

^e Cornell University   (United States)

^f The Johns Hopkins University   (United States)

^g UNIVERSITY OF EDINBURGH   (United Kingdom)

^h UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Drying front; Nonlinear effects; Sloping aquifer

Indexed keywords

DRYING; LINEARIZATION; WATER;

DUPUIT ASSUMPTION; SLOPING AQUIFERS;

AQUIFERS;

AQUIFER; BOUSSINESQ EQUATION; WATER TABLE;

EID: 2442643095     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002255     Document Type: Article

References (15)

1. Aronson, D. G. (1986), The porous medium equation, Lect. Notes Math., 1224, 1-46.
2. Boussinesq, J. (1877), Essai sur la theorie des eaux courantes, Mem. Acad. Sci. Inst. Fr., 23(1), 252-260.
3. Brutsaert, W. (1994), The unit response of groundwater outflow from a hillslope, Water Resour. Res., 30, 2759-2764.
4. Brutsaert, W., and J. P. Lopez (1998), Basin-scale geohydrologic drought flow features of riparian aquifers in the Southern Great Plains, Water Resour. Res., 34, 233-240.
5. Brutsaert, W., and J. L. Nieber (1977), Regionalized drought flow hydrographs from a mature glaciated plateau, Water Resour. Res., 13, 637-643.
6. Hogarth, W. L., and J.-Y. Parlange (1999), Solving the Boussinesq equation using solutions of the Blasius equation, Water Resour. Res., 35, 885-888.
7. Lockington, D. A. (1997), Response of an unconfined aquifer to sudden change in boundary head, J. Irrig. Drain. Eng., 123, 24-27.
8. Parlange, J.-Y., R. D. Braddock, and G. Sander (1981), Analytical approximation to the solution of the Blasius equation, Acta Mech., 38, 119-125.
9. Parlange, J.-Y., F. Stagnitti, A. Heilig, J. Szilagyi, M. B. Parlange, T. S. Steenhuis, W. L. Hogarth, D. A. Barry, and L. Li (2001), Sudden draw-down and drainage of a horizontal aquifer, Water Resour. Res., 37, 2097-2101.
10. Peletier, L. A. (1971), Asymptotic behavior of solutions of the porous media equation, SIAM J. Appl. Math., 21, 542-551.
11. Sanford, W. E., J.-Y. Parlange, and T. S. Steenhuis (1993), Hillslope drainage with sudden drawdown: Closed form solution and laboratory experiments, Water Resour. Res., 29, 2313-2321.
12. Sewell, G. (1993), PDE2D: Easy to use software for general two-dimensional partial differential equations, Adv. Eng. Software, 17, 105-112.
13. Szilagyi, J., and M. B. Parlange (1998), Base flow separation based on an analytical solution of the Boussinesq equation, J. Hydrol., 204, 251-260.
14. Szilagyi, J., M. B. Parlange, and J. D. Albertson (1998), Recession flow analysis for aquifer parameter determination, Water Resour. Res., 34, 1851-1858.
15. Verhoest, N. E. C., and P. A. Troch (2000), Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer, Water Resour. Res., 36, 793-800.