Two-phase flow infiltration equations accounting for air entrapment effects

Water Resources Research

Volumn 33, Issue 12, 1997, Pages 2759-2767

  Wang, Zhi ^a   Feyen, Jan ^a   Nielsen, Donald R ^b   Van Genuchten, Martinus T ^c  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c U S SALINITY LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSION; HYDRAULIC CONDUCTIVITY; INFILTRATION; POROUS MEDIUM; TWO-PHASE FLOW;

AIR COMPRESSION; HYDRAULIC CONDUCTIVITY; INFILTRATION; VADOSE ZONE;

BUBBLE FORMATION; HYDRAULIC CONDUCTIVITY; INFILTRATION; POROUS MATERIALS; SOIL MOISTURE; SOIL SURVEYS; WETTING;

AIR COMPRESSION; EQUATION PARAMETER; EXPERIMENTAL TESTING; FIELD MEASUREMENT; SATURATED HYDRAULIC CONDUCTIVITY; SOIL WATER RETENTION; UNSATURATED ZONE; WATER INFILTRATION;

TWO PHASE FLOW;

EID: 0030697142     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR01708     Document Type: Article

References (58)

1. Adrian, D. D., and J. B. Franzini, Impedance to infiltration by pressure build up ahead of the wetting front, J. Geophys. Res., 71(24), 5857-5862, 1966.
2. Bouwer, H., Unsaturated flow in ground-water hydraulics, J. Hydraul. Div. Am. Soc. Civ. Eng., 90, 121-144, 1964.
3. Brakensiek, D. L., Estimating the effective capillary pressure in the Green and Ampt infiltration equation, Water Resour. Res., 13(3), 680-682, 1977.
4. Brooks, R. H., and A. T. Corey, Properties of porous media affecting fluid flow, J. Irrig. Drain. Div. Am. Soc. Civ. Eng., 92, 61-88, 1966.
5. Brustkern, R. L., and H. J. Morel-Seytoux, Analytical Treatment of two-phase infiltration, J. Hydraul. Div. Am. Soc. Civ. Eng., 96, 2535-2548, 1970.
6. Brustkern, R. L., and H. J. Morel-Seytoux, Description of water and air movements during infiltration, J. Hydrol., 24, 21-35, 1975.
7. Carsel, R. F., and R. S. Parrish, Developing joint probability distributions of soil water retention characteristics, Water Resour. Res., 24, 755-769, 1988.
8. Christiansen, J. E., Effects of entrapped air upon the permeability of soils, Soil Sci., 58, 355-366, 1944.
9. Corey, A. T., and R. H. Brooks, Drainage Characteristics of soils, Soil Sci. Soc. Am. Proc., 39, 251-255, 1975.
10. Dixon, R. M., and D. R. Linden, Soil air pressure and water infiltration under border irrigation. Soil Sci. Soc. Am. Proc., 36, 948-953, 1972.
11. Elrick, D. E., and W. D. Reynolds, Infiltration from constant-head well permeameters and infiltrometers, in Advances in Measurement of Soil Physical Properties: Brining Theory into Practice, SSSA Spec. Publ., 30, pp. 1-24, 1992.
12. Fallow, D. J., and D. E. Elrick, Field measurement of air-entry and water-entry soil water pressure heads, Soil Sci. Soc. Am. J., 60, 1036-1039, 1996.
13. Felton, G. K., and D. L. Reddell, A Finite element axisymmetrical and linear model of two-phase flow through porous media, Trans. ASAE, 35(5), 1419-1429, 1992.
14. Green, W. H., and C. A. Ampt, Studies on soil physics, 1, Flow of air and water through soils, J. Agric. Sci., 4, 1-24, 1911.
15. Grismer, M. E., M. N. Orang, V. Clausnitzer, and K. Kinney, Effects of air compression and counterflow on infiltration into soils, J. Irrig. Drain. Eng., 120, 775-795, 1994.
16. Hills, R. C., and S. G. Reynolds, Illustration of soil moisture variability in selected areas and plots of different sizes, J. Hydrol., 8, 27-47, 1969.
17. Klute, A., and C. Dirksen, Hydraulic conductivity and Diffusivity: Laboratory methods, Methods of Soil Analysis, edited by A. Klute, pp. 687-732, Am. Soc. of Agron., Madison, Wis., 1986.
18. Kostiakov, A. H., On the dynamics of the coefficient of water percolation in soils and on the necessity of studying it from a dynamic point of view for purpose of amelioration, Transactions 6th Congress of the International Society of Soil Science, Moscow, Russia, Part A, 7-21, 1932.
19. Latifi, H., S. N. Prasad, and O. J. Helweg, Air entrapment and water infiltration in two-layered soil column, J. Irrig. Drain. Eng., 120, 871-891, 1994.
20. Luckner, L., M. T. van Genuchten, and D. R. Nielsen, A consistent set of parametric models for the two-phase flow of immiscible fluids in the subsurface, Water Resour. Res., 25, 2187-2193, 1989.
21. McWhorter, D. B., Infiltration affected by flow of air, Hydrol. Pap. 49, Colo. State Univ., Fort Collins, 1971.
22. Mein, R. G., and C. L. Larson, Modeling infiltration during a steady rain, Water Resour. Res., 9, 384-394, 1973.
23. Morel-Seytoux, H. J., Two-phase flow in porous media, in Advances in Hydroscience, edited by V. T. Chow, pp. 119-202, Academic, San Diego, Calif., 1973.
24. Morel-Seytoux, H. J., and J. A. Billica, A two-phase numerical model for prediction of infiltration: application to a semi-infinite soil column, Water Resour. Res., 21, 607-615, 1985a.
25. Morel-Seytoux, H. J., and J. A. Billica, A two-phase numerical model for prediction of infiltration: Case of an impervious bottom, Water Resour. Res., 21, 1389-1396, 1985b.
26. Morel-Seytoux, H. J., and J. Khanji, Derivation of an equation of infiltration, Water Resour. Res., 10, 795-800, 1974.
27. Morel-Seytoux, H. J., and J. Khanji, Equation of infiltration with compression and counterflow effects, Hydro. Sci. J., 20, 505-517, 1975.
28. Morel-Seytoux, H. J., P. D. Meyer, M. Nachabe, J. Tourna, M. T. van Genuchten, and R. J. Lenhard, Parameter equivalence for Brooks-Corey and van Genuchten soil Characteristics: Preserving the effective capillary drive, Water Resour. Res., 32(5), 1251-1258, 1996.
29. Nielsen, D. R., J. W. Biggar, and K. T. Erh, Spatial variability of field measured soil water properties, Hilgardia, 42, 215-260, 1973.
30. Noblanc, A., and H. J. Morel-Seytoux, Perturbation analysis of two-phase infiltration, J. Hydraul. Div. Am. Soc. Civ. Eng., 98, 1527-1541, 1972.
31. Parlange, J.-Y., Theory of water movement in soils, 1, One-dimensional absorption, Soil Sci., 111, 134-137, 1971.
32. Parlange, J.-Y., Theory of water movement in soils, 11, Conclusion and discussion of some recent developments, Soil Sci., 119, 158-161, 1975a.
33. Parlange, J.-Y., On solving the flow equation in unsaturated soils by optimization: Horizontal infiltration, Soil Sci. Soc. Am. Proc., 39, 415-418, 1975b.
34. Parlange, J. Y., and D. E. Hill, Air and water movement in porous media: Compressibility effects, Soil Sci., 127, 257-263, 1979.
35. Peck, A. J., Moisture profile development and air compression during water uptake by bounded porous bodies, 2, Horizontal columns, Soil Sci., 99, 327-334, 1965a.
36. Peck, A. J., Moisture profile development and air compression during water uptake by bounded porous bodies, 3, Vertical columns, Soil Sci., 100, 44-51, 1965b.
37. Philip, J. R., The theory of infiltration, 1, The infiltration equation and its solution, Soil Sci., 83, 345-357, 1957a.
38. Philip, J. R., The theory of infiltration, 2, The profile of infinity, Soil Sci., 83, 435-448, 1957b.
39. Philip, J. R., The theory of infiltration, 3, Moisture profiles and relation to experiment, Soil Sci., 84, 163-178, 1957c.
40. Philip, J. R., The theory of infiltration, 4, Sorptivity and algebraic infiltration equations, Soil Sci., 84, 257-263, 1957d.
41. Philip, J. R., The growth of disturbance in unstable infiltration flow, Soil Sci. Soc. Am. Proc., 39, 1049-1053, 1975.
42. Philip, J. R., Variable head ponded infiltration under constant or variable rainfall, Water Resour. Res., 29, 2155-2165, 1993.
43. Powers, W. L., Soil-water movement as affected by confined air, J. Agric. Res., 49, 1125-1134, 1934.
44. Raats, P. A. C., Unstable wetting fronts in uniform and non-uniform soils. Soil Sci. Soc. Am. Proc., 37, 681-685, 1973.
45. Ritsema, C. J., and L. W. Dekker, Distribution flow: A general process in the top layer of water repellent soils, Water Resour. Res., 31, 1187-1200, 1995.
46. Sander, G. C., J.-Y. Parlange, and W. L. Hogarth, Air and water flow, II, Gravitational flow with an arbitrary flux boundary condition, J. Hydrol., 99, 225-234, 1988.
47. Smiles, D. E., G. Vachaud, and M. Vauclin, A test of the uniqueness of the soil moisture characteristics during transient, non hysteretic flow of water in a rigid soil, Soil Sci. Soc. Am. Proc., 35, 534-539, 1971.
48. Sonu, J., and H. J. Morel-Seytoux, Water and air movement in a bounded deep homogeneous soil, J. Hydrol., 29, 23-42, 1976.
49. Tourna, J., G. Vachaud, and J.-Y. Parlange, Air and water flow in a sealed, ponded vertical soil column: Experiment and model, Soil Sci., 137, 181-187, 1984.
50. Vachaud, G., M. Vauclin, D. Khanji, and M. Wakil, Effects of air pressure on water flow in an unsaturated stratified vertical column of sand, Water Resour. Res., 9, 160-173, 1973.
51. Vachaud, G., J. P. Gaudet, and V. Kuraz, Air and water flow during ponded infiltration in a bounded column of soil, J. Hydrol., 22, 89-108, 1974.
52. van Genuchten, M. T., A closed form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898, 1980.
53. van Genuchten, M. T., F. J. Leij, and S. R. Yates, The RETC Code for quantifying the hydraulic functions of unsaturated soils, U.S. Salinity Laboratory, U.S. Dep. of Agric., Agric. Res. Serv., Riverside, Calif., 1991.
54. Wang, Z., J. Feyen, D. R. Nielsen, and M. T. van Genuchten, Air entrapment effects on infiltration rate and flow instability, Water Resour. Res., in press, 1997.
55. Watson, K. K., and A. A. Curtis, The use of a transformed boundary condition in modeling air compression during infiltration, Soil Sci. Soc. Am. J., 43, 848-850, 1979.
56. Whisler, F. D., and H. Bouwer, Comparison of methods for calculating vertical drainage and infiltration for soils, J. Hydrol., 10(1), 1-9, 1970.
57. Wilson, L. G., and J. N. Luthin, Effects of air flow ahead of the wetting front on infiltration, Soil Sci., 91, 137-143, 1963.
58. Youngs, E. G., and A. J. Peck, Moisture profile development and air compression during water uptake by bounded porous bodies, 1, Theoretical introduction, Soil Sci., 98, 290-294, 1964.