Analytical solution for transient water table heights and outflows from inclined ditch-drained terrains

Journal of Irrigation and Drainage Engineering

Volumn 128, Issue 6, 2002, Pages 358-364

  Verhoest, Niko E C ^a   Pauwels, Valentijn R N ^a   Troch, Peter A ^b   De Troch, François P ^a  

^a GHENT UNIVERSITY   (Belgium)

^b WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Aquifers; Boussinesq equations; Water table

Indexed keywords

AQUIFERS; GROUNDWATER; PERCOLATION (FLUIDS); SEWERS;

WATERTABLE HEIGHTS;

WATER DISTRIBUTION SYSTEMS;

BOUSSINESQ EQUATION; DRAINAGE; GROUNDWATER; WATER TABLE;

BOUSSINESQ EQUATION; DRAINAGE; GROUNDWATER; WATER TABLE;

EID: 0036869044     PISSN: 07339437     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9437(2002)128:6(358)     Document Type: Article

References (14)

1. Arfken, G. B., and Weber, H. J. (1995). Mathematical methods for physicists, Academic, New York.
2. Boussinesq, J. (1877). "Essai sur la théorie des eaux courantes." Mem. Acad. Sci. Inst. France, 23(1), 252-260.
3. Brutsaert, W. (1994). "The unit response of groundwater outflow from a hillslope." Water Resour. Res., 30(10), 2759-2763.
4. Brutsaert, W., and Nieber, J. L. (1977). "Regionalized drought flow hydrographs from a mature glaciated plateau." Water Resour. Res., 13(3), 637-643.
5. Childs, E. C. (1971). "Drainage of groundwater resting on a sloping bed." Water Resour. Res., 7(5), 1256-1263.
6. Dumm, L. D. (1954). "Drain spacing formula." Agric. Eng., 35, 726-730.
7. Glover, R. (1974). Transient ground water hydraulics, Water Resources Publications, Colorado State University.
8. Hooghoudt, S. B. (1940). "Bijdragen tot de kennis van enige natuurkundige grootheden van de grond. Deel 7." Versl. Landb. Onderzoek, 46(14), B:515-707. (in Dutch)
9. Kim, D.-J., and Ann, M.-J. (2001). "Analytical solutions of water table variation in a horizontal unconfined aquifer: Constant recharge and bounded by parallel streams." Hydrolog. Process., 15, 2691-2699.
10. Kraijenhoff van de Leur, D. (1958). "A study of non-steady groundwater flow with special reference to a reservoir coefficient." Delngenieur, 70, B87-B94.
11. J. Geophys. Res., 64, 549-589.
12. Su, N. (1994). "A formula for computation of time-varying recharge of groundwater." J. Hydrol., 160, 123-135.
13. van der Ploeg, R. R., Krikham, M. B., and Marquardt, M. (1999). "The Colding equation for soil drainage: its origin, evolution, and use." Soil Sci. Soc. Am. J., 63(1), 33-39.
14. Verhoest, N. E. C., and Troch, P. A. (2000). "Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer." Water Resour. Res., 36(3), 793-800.