Analytical Solution for Drainage and Recession from an Unconfined Aquifer

Ground Water

Volumn 50, Issue 5, 2012, Pages 793-798

  Liang, Xiuyu ^a   Zhang, You Kuan ^a  

^a NANJING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BASEFLOWS; BOUSSINESQ EQUATIONS; CHANGE PROCESS; INFINITE SERIES; INITIAL CONDITIONS; LEADING TERMS; PHYSICALLY BASED; TRANSIENT GROUNDWATER FLOW; UNCONFINED AQUIFERS; WATER TABLES;

GROUNDWATER FLOW;

AQUIFERS;

GROUND WATER;

AQUIFER; BASEFLOW; BOUSSINESQ EQUATION; DRAINAGE; GROUNDWATER FLOW; ONE-DIMENSIONAL MODELING; WATER TABLE;

ARTICLE; WATER FLOW;

GROUNDWATER; WATER MOVEMENTS;

EID: 84865572222     PISSN: 0017467X     EISSN: 17456584     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2011.00867.x     Document Type: Article

References (15)

1. Bear, J. 1972. Dynamics of Fluids in Porous Media. New York: American Elsevier Publishing Company Inc.
2. Daly, E., and A. Porporato 2004. A note on groundwater flow along a hillslope. Water Resources Research 40, no. 1. DOI: 10.1029/2003WR002438.
3. Debnath, T.M.-U.L. 2007. Linear Partial Differential Equations for Scientists and Engineers. Boston, Massachusetts: Springer.
4. Guo, W.X. 1997. Transient groundwater flow between reservoirs and water-table aquifers. Journal of Hydrology 195, no. 1-4: 370-384.
5. Harman, C., and M. Sivapalan 2009. A similarity framework to assess controls on shallow subsurface flow dynamics in hillslopes. Water Resources Research 45. DOI: 10.1029/2008WR007067.
6. Hung, C.J., Y.C. Tan, C.H. Chen, J.M. Chen, and P.W. Chang 2006. Analytical solution of water table fluctuations above an inclined leaky layer due to ditch recharge. Hydrological Processes 20, no. 7: 1597-1609.
7. Lockington, D.A., J.Y. Parlange, M.B. Parlange, and J. Selker 2000. Similarity solution of the Boussinesq equation. Advances in Water Resources 23, no. 7: 725-729.
8. Marino, M.A. 1967. Hele-Shaw model study of growth and decay of groundwater ridges. Journal of Geophysical Research 72, no. 4: 1195-1205.
9. Pauwels, V.R.N., N.E.C. Verhoest, and F.P. De Troch 2002. A metahillslope model based on an analytical solution to a linearized Boussinesq equation for temporally variable recharge rates. Water Resources Research 38, no. 12. DOI: 10.1029/2001WR000714.
10. Polubarinova-Kochina, P.Y. 1962. Theory of Ground Water Movement (J.M. Roger de Wiest, Trans.). Princeton, New Jersey: Princeton University Press.
11. Rotzoll, K., El-Kadi, A. I. and Gingerich, S. B. 2008. Analysis of an unconfined aquifer subject to asynchronous dual-tide propagation. Ground Water 46, no. 2: 239-250.
12. Serrano, S.E. 1995. Analytical solutions of the nonlinear groundwater-flow equation in unconfined aquifers and the effect of heterogeneity. Water Resources Research 31, no. 11: 2733-2742.
13. Seshadri, R., and T.Y. Na 1982. Groundwater movement due to arbitrary changes in water level. Applied Scientific Research 39, no. 1: 45-53.
14. Troch, P., E. van Loon, and A. Hilberts 2002. Analytical solutions to a hillslope-storage kinematic wave equation for subsurface flow. Advances in Water Resources 25, no. 6: 637-649.
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 Resources Research 36, no. 3: 793-800.