Horizontal infiltration into wet soil

Water Resources Research

Volumn 34, Issue 7, 1998, Pages 1859-1863

  Witelski, T P ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFILTRATION; SOIL WATER;

SOILS; WATER SUPPLY SYSTEMS; WETTING;

CONTENT DISTRIBUTION; DYNAMIC TIME; HOMOGENEOUS LAYERS; MOISTURE DISTRIBUTION; SIMILARITY SOLUTION; TIME ASYMPTOTIC; WATER DISTRIBUTIONS; WETTING FRONTS;

WATER ABSORPTION;

EID: 0031811309     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/98WR00775     Document Type: Article

References (20)

1. Barenblatt, G. I., Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge Univ. Press, New York, 1996.
2. Bear, J., Dynamics of Fluids in Porous Media, Elsevier, New York, 1972.
3. Bruce, R. R., and A. Klute, The measurement of soil-water diffusivity, Soil Sci. Soc. Am. Proc., 20, 458-462, 1956.
4. Brutsaert, W., The concise formulation of diffusive sorption of water in dry soil, Water Resour. Res., 12, 1118-1124, 1976.
5. Brutsaert, W., Some exact solutions for nonlinear desorptive diffusion, ZAMP, 33, 540-546, 1982.
6. Carslaw, H. S., and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford Univ. Press, New York, 1959.
7. Corey, A. T., Mechanics of Immiscible Fluids in Porous Media, Water Resour. Publ., Littleton, Colo., 1986.
8. Klute, A., A numerical method for solving the flow equation for water in unsaturated materials, Soil Sci., 73(2), 105-116, 1952.
9. Lockington, D. A., and J.-Y. Parlange, Approximate formulae for the wetting front position and boundary water-content during horizontal infiltration, Transp. Porous Media, 18, 95-105, 1995.
10. Parlange, J.-Y., Theory of water movement in soils, 1, One-dimensional absorption, Soil Sci., 134-137, 1971.
11. Parlange, J.-Y., Horizontal infiltration of water in soils: A theoretical interpretation of recent experiments, Soil Sci. Soc. Am. Proc., 37, 329-330, 1973.
12. Parlange, J.-Y., I. G. Lisle, S. N. Prasad, and M. J. M. Romkens, Wetting front analysis of the nonlinear diffusion equation, Water Resour. Res., 20, 636-638, 1984.
13. Philip, J. R., Numerical solution of equations of the diffusion type with diffusivity concentration-dependent, Trans. Faraday Soc., 51, 885-892, 1955.
14. Philip, J. R., The theory of infiltration, 3, Moisture profiles and relation to experiment, Soil Sci., 84, 163-178, 1957.
15. Philip, J. R., General method of exact solution of the concentration-dependent diffusion equation, Aust. J. Phys., 13, 1-12, 1960.
16. Philip, J. R., Theory of infiltration, Adv. Hydrosci., 5, 215-292, 1969.
17. Richards, L. A., Capillary conduction of liquids through porous mediums, Physics, 1, 318-333, 1931.
18. Witelski, T. P., and A. J. Bernoff, Self-similar asymptotics for linear and nonlinear diffusion equations, Stud. Appl. Math., 100, 153-193, 1998.
19. Zeldovich, Y. B. and Y. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, vol. 2, Academic, San Diego, Calif., 1967.
20. Zeldovich, Y. B., G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, The Mathematical Theory of Combustion and Explosions, Consultants Bur., New York, 1985.