A quasilinear based procedure for saturated/unsaturated water movement in soils

Transport in Porous Media

Volumn 36, Issue 1, 1999, Pages 1-21

  Connell, L D ^a,b  

^a MONASH UNIVERSITY   (Australia)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Modified finite analytic method; Quasilinear equation; Unsaturated flow modelling

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; LAPLACE TRANSFORMS; PARTIAL DIFFERENTIAL EQUATIONS; SOILS;

DARCY'S EQUATION; SATURATED WATER FLOW; UNSATURATED WATER FLOW;

FLOW OF WATER;

MODELING; SOIL; TRANSIENT FLOW; UNSATURATED FLOW;

EID: 0032805986     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006504816562     Document Type: Article

References (21)

1. 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.
2. Chen, C. J. and Chen, H. C.: 1984, Finite analytic numerical method for unsteady two-dimensional Navier-Stokes equations, J. Comput. Phys. 53, 209-226.
3. Chen, C.J., Naeri-Neshat, H. and Ho, K. S.: 1981, Finite analytic numerical solution of heat transfer in two-dimensional cavity flow, J. Num. Heat Transfer 4, 179-197.
4. Connell, L. D., Bailey, M. and Jayatilaka, C. J.: 1998, A quasi-analytical model for groundwater movement in hillslopes, J. Hydrol. 204, 108-123.
5. Connell, L. D. and 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 Resour. Res. 29(5), 1435-1443.
6. Connell, L. D. and Haverkamp, R.: 1996, A quasi-analytical model for soil solute transport under plant water use, Soil Sci. Soc. Am. J. (to appear).
7. Fuentes, C., Haverkamp, R. and Parlange, J-Y.: 1992, Parameter constraints on closed-form soil water relationships, J. Hydrol. 134, 117-142.
8. van Genuchten, M. Th.: 1980, A closed form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J. 44, 892-898.
9. Green, W. H. and Ampt, G. A.: 1911, Studies in soil physics: I. The flow of air and water through soils, J. Agric. Sci. 4, 1-24.
10. Hemker, C. J. and Maas, C.: 1987, Unsteady flow to wells in layered and fissured aquifer systems, J. Hydrol. 90(3/4), 231-249.
11. 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.
12. de Marsily, G.: 1986, Quantitative Hydrogeology: Groundwater Hydrology for Engineers, Academic Press, San Diego.
13. Motz, L. H.: 1994, Drawdowns for leaky-aquifer flow with storage in finite width sink, J. Irrig. Drain. Engng. 120(4), 820-827.
14. Parlange, J.-Y., Haverkamp, R. and Touma, J.: 1985, Infiltration under ponded conditions: 1. Optimal analytical solution and comparison with experimental observations, Soil Sci. 139(4), 305-311.
15. Parlange, J.-Y., Haverkamp, R. and Fuentes, C.: 1988, A note on linearised infiltration, Soil Sci. 145(4), 310-312.
16. Philip, J. R.: 1957, The theory of infiltration: 1. The infiltration equation and its solution, Soil Sci. 83, 345-357.
17. Philip, J. R.: 1969, Theory of infiltration, Adv. Hydrosci. 5, 215-296.
18. Pullan, A. J.: 1990, The quasilinear approximation for unsaturated porous media flow, Water Resour. Res. 26(6), 1219-1234.
19. Richards, L. A.: 1931, Capillary conduction of liquids through porous mediums, Physics 1, 318-333.
20. Ross, P.J.: 1990, Efficient numerical methods for infiltration using Richards' equation, Water Resour. Res. 26(2), 279-290.
21. Stehfest, H.: 1970, Numerical inversion of Laplace transforms, Commun. ACM 13, 47-49.