Redistribution with air diffusion

Water Resources Research

Volumn 35, Issue 8, 1999, Pages 2295-2300

  Philip, J R ^a   Van Duijn, C J ^b  

^a CSIRO   (Australia)

^b CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY ACTION; DIFFUSION; POROUS MEDIUM; SOIL-WATER INTERACTION;

DIFFUSION; POROUS MEDIUM; SOIL WATER;

ATMOSPHERIC PRESSURE; SOIL MOISTURE;

CAPILLARY HYSTERESIS; DISSOLVED AIR; EXTENDED PRESSURES; GENERAL SYSTEMS; POTENTIAL DISTRIBUTIONS; SIMILARITY SOLUTION; VOLUME CONSERVATION; WATER POTENTIAL;

FLOW VELOCITY;

EID: 0032875996     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900115     Document Type: Article

References (19)

1. Klute, A., A numerical method for solving the flow equation for water in unsaturated materials, Soil Sci., 73, 105-116, 1952.
2. Lighthill, M. J., Viscosity effects in sound waves of finite amplitude, in Surveys in Mechanics, edited by G. K. Batchelor and R. M. Davies, pp. 250-351, Cambridge Univ. Press, New York, 1956.
3. Moore, R. E., Water conduction from shallow water tables, Ph.D. thesis, Univ. of Calif., Berkeley, 1937.
4. Moore, R. E., Water conduction from shallow water tables, Hilgardia, 12, 383-426, 1939.
5. Philip, J. R., Numerical solution of equations of the diffusion type with diffusivity concentration-dependent, Trans. Faraday Soc., 57, 885-892, 1955.
6. Philip, J. R., The physical principles of soil water movement during the irrigation cycle, in Proceedings Third Congress International Commission on Irrigation and Drainage pp. 8.125-8.154, Int. Comm. on Irrig. and Drain, San Francisco, Calif., 1957a.
7. Philip, J. R., The theory of infiltration, 1, The infiltration equation and its solution, Soil Sci., 83, 345-357, 1957b.
8. Philip, J. R., The theory of infiltration, 6, Effect of water depth over soil, Soil Sci., 86, 278-286, 1958.
9. Philip, J. R., Theory of infiltration, Adv. Hydrosci., 5, 215-296, 1969.
10. Philip, J. R., Horizontal redistribution with capillary hysteresis, Water Resour. Res., 27, 1458-1469, 1991.
11. Philip, J. R., Reply, Water Resour. Res., 30, 3563, 1994.
12. Raats, P. A. C., and C. J. van Duijn, A note on horizontal redistribution with capillary hysteresis, Water Resour. Res., 31, 231-232, 1995.
13. Richards, L. A., Capillary conduction of liquids through porous mediums, Physics, 1, 318-333, 1931.
14. Smiles, D. E., Water flow in filter paper and capillary suction time, Chem. Eng. Sci., 53, 2211-2218, 1998.
15. Smiles, D. E., and J. M. Kirby, Comment on "Horizontal redistribution with capillary hysteresis" by J. R. Philip, Water Resour. Res., 30, 3561, 1994a.
16. Smiles, D. E., and J. M. Kirby, Dewatering of sodium bentonite using a dry plaster-of-Paris mould, Chem. Eng. Sci., 49, 3711-3717, 1994b.
17. Taylor, G. I., The conditions necessary for discontinuous motion in gases, Proc. R. Soc. Ser. A, 84, 371-377, 1910.
18. van Duijn, C. J., and M. J. de Neef, Similarity solution for capillary redistribution of two phases in a porous medium with a single discontinuity, Adv. Water Res., 21, 451-461, 1998.
19. van Duijn, C. J., J. Molenaar, and M. J. de Neef, The effect of capillary forces on immiscible two-phase flow in heterogeneous porous media, Trans. Porous Media., 21, 71-93, 1995.