A quasi-analytical solution for groundwater movement in hillslopes

Journal of Hydrology

Volumn 204, Issue 1-4, 1998, Pages 108-123

  Connell, L D ^a   Jayatilaka, C ^a   Bailey, M ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

Flow; Groundwater; Hillslopes; Quasi analytical solution

Indexed keywords

AQUIFERS; HYDROLOGY; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; RECHARGING (UNDERGROUND WATERS);

FINITE ANALYTIC PROCEDURE; TRANSMISSIVITY;

GROUNDWATER FLOW;

GROUNDWATER FLOW; TOPOGRAPHY;

EID: 0032579302     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(97)00111-X     Document Type: Article

References (19)

1. Abbott, M.B., Bathurst, J.C., Cunge, J.A., O'Connell, P.E. and Rasmussen, J., 1986a. An introduction to the European Hydrological System - Systeme Hydrologique Europeen, "SHE", 1. Distributed Modelling System. J. Hydrol., 87: 45-59.
2. Abbott, M.B., Bathurst, J.C., Cunge, J.A., O'Connell, P.E., and Rasmussen, J., 1986b. An introduction to the European Hydrological System - Systeme Hydrologique Europeen, "SHE", 2: Structure of a physically-based, distributed modelling system, J. Hydrol., 87: 61-77.
3. Bear, J., 1972. Dynamics of fluids in porous media, American Elsevier, New York.
4. Beven, K., 1989. Changing ideas in hydrology - The case of physically-based models, J. Hydrol., 105: 157-172.
5. Cars'aw, H.S., Jaeger, J.C., 1959. Conduction of heat in solids, Oxford University Press, New York.
6. Chen, C.S., 1985. Analytical and approximate solutions to radial dispersion from an injection well to a geological unit with simultaneous diffusion into adjacent strata, Water Resour. Res., 21(8): 1069-1076.
7. Chen, C.J., Chen, U.C., 1984. Finite analytic numerical method for unsteady two-dimensional Navier-Stokes equations, J. Comput. Phys., 53: 209-226.
8. Chen, C.J., Li, P., 1979. Finite-differential method in heat conduction-application of the analytic solution technique, ASME Pap. 79-WA/HT-50. AM. Soc. Mech. Eng., Fairfield, NJ.
9. Chen, C.J., Naeri-Neshat, H., Ho, K.S., 1981. Finite analytic numerical solution of heat transfer in two-dimensional cavity flow, J. Numerical Heat Transfer., 4: 179-197.
10. Connell, L.D., Bell, P.R.F., 1993. Modelling moisture movement in revegetating waste heaps 1. Development of a finite element model for liquid and vapour transport, Water Resources Research, 29(5): 1435-1443.
11. de Marsily, G., 1986. Quantitative Hydrogeology:Groundwater hydrology for engineers, Academic Press, San Diego.
12. Grayson, R.B., Moore, I.D., McMahon, T.A., 1992. Physically Based Hydrologie Modelling 1 A terrain-based model for investigative purposes, Water Resour. Res., 28(10): 2639-2658.
13. Hemker, C.J., Maas, C., 1987, Unsteady flow to wells in layered and fissured aquifer systems, J. Hydrol., 90(3/4): 231-249.
14. Li, S.G., Ruan, F. and McLaughlin, D., 1992. A space-time accurate method for solving solute transport problems. Water Resour. Res. 28(9): 2297-2306.
15. Motz, L.H., 1994. Drawdowns for leaky-aquifer flow with storage in finite width sink, J. Irrig. Drain. Eng., 120(4): 820-827.
16. O'Loughlin, E.M., 1986. Prediction of surface saturation zone in natural catchments by topographic analysis, Water Resour. Res. 22(5): 794-804.
17. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.R., 1992. Numerical Recipes in fortran, 2nd edn Cambridge University Press, Cambridge, UK.
18. Stehfest, H., 1970. Numerical inversion of Laplace transforms, Commun. ACM, 13, 47-49.
19. Vertessy, R.A., O'Loughlin, E.M., Beverly, C.R. and Butt, T.J., 1994. Australian experience with the CSIRO TOPOG model in land and water resources management, Proc. UNESCO Int. Symp. Water Resour. Plan., Karlsruhe, Germany.