Modelling solute leaching during fingered flow by integrating and expanding various theoretical and empirical concepts

Hydrological Sciences Journal

Volumn 44, Issue 3, 1999, Pages 447-465

  De Rooij, Gerrit H ^a   Cho, Hiroyuki ^b  

^a WAGENINGEN UNIVERSITY   (Netherlands)

^b SAGA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATE CHANGE; LEACHING; MATHEMATICAL MODELS; SOILS; TWO DIMENSIONAL; WETTING;

FINGER RADII; FINGERED FLOW; SOLUTE LEACHING;

GROUNDWATER FLOW;

LEACHING; MODELING; SOLUTE TRANSPORT; UNSATURATED FLOW;

FINGERING; HYDROLOGICAL MODEL; LEACHING; SOLUTE TRANSPORT; UNSATURATED FLOW; WETTING FRONT;

EID: 0032836525     PISSN: 02626667     EISSN: 21503435     Source Type: Journal    
DOI: 10.1080/02626669909492239     Document Type: Article

References (45)

1. Baker, R. S., and Hillel, D., 1990. Laboratory tests of a theory of fingering during infiltration into layered soils. Soil Sci. Soc. Am. J., 54:20–30.
2. Boll, J., Steenhuis, T. S., and Selker, J. S., 1992. Fiberglass wicks for sampling of water and solutes in the vadose zone. Soil Sci. Soc. Am. J., 56:701–707.
3. Brakensiek, D. L., 1977. Estimating the effective capillary pressure in the Green and Ampt infiltration equation. Wat. Resour. Res., 13:680–682.
4. Buishand, T. A., and Velds, C. A., 1980. “ Klimaal van Nederland, 1. Neerslag en Verdamping (Climate in The Netherlands, 1. ”. In Precipitation and Evapotranspiration in Dutch) De Bilt, The Netherlands.:KNMI.
5. Chuoke, R. L., van Meurs, P., and van der Poel, C., 1959. The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media. Trans. Am. Inst. Min. Metall. Petrol. Engng, 216:188–194.
6. Dekker, L. W., and Ritsema, C. J., 1994. How water moves in a water repellent sandy soil. 1. potential and actual water repellency. Wat. Resour. Res., 30:2507–2517.
7. de Rooij, G. H., 1995. A three-region analytical model of solute leaching in a soil with a water-repellent top layer. Wat. Resour. Res., 31:2701–2707.
8. de Rooij, G. H., 1996. Preferential flow in water-repellent sandy soils—model development and lysimeter experiments. Wageningen Agricultural University, The Netherlands.:Doctoral Thesis.
9. de Rooij, G. H., Warrick, A. W., and Gielen, J. L. W., 1996. Steady flow from a disc source above a shallow water table. J. Hydrol., 176:37–55.
10. Gardner, W. R., 1958. Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Sci., 85:228–232.
11. Glass, R. J., and Nicholl, M. J., 1996. Physics of gravity fingering of immiscible fluids within porous media:an overview of current understanding and selected complicating factors. Geoderma, 70:133–163.
12. Glass, R. J., Parlange, J.-Y., and Steenhuis, T. S., 1991. Immiscible displacement in porous media:stability analysis of three-dimensional, axisymmetric disturbances with application to gravity-driven wetting front instability. Wat. Resour. Res., 27:1947–1956.
13. Glass, R. J., Steenhuis, T. S., and Parlange, J.-Y., 1989a. Mechanism for finger persistence in homogeneous, unsaturated, porous media:theory and verification. Soil Sci., 148:60–70.
14. Glass, R. J., Steenhuis, T. S., and Parlange, J.-Y., 1989b. Wetting front instability. 2. experimental determination of relationships between system parameters and two-dimensional unstable flow field behavior in initially dry porous media. Wat. Resour. Res., 25:1195–1207.
15. Hendrickx, J. M. H., and Yao, T.-M., 1996. Prediction of wetting front stability in dry field soils using soil and precipitation data. Geoderma, 70:265–280.
16. Hill, D. E., and Parlange, J.-Y., 1972. Wetting front instability in layered soils. Soil Sci. Soc. Am. Proc., 36:697–702.
17. Kool, J. B., and Parker, J. C., 1987. Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties. Wat. Resour. Res., 23:105–114.
18. Le Barbé, L., and Lebel, T., 1997. Rainfall climatology of the HAPEX-Sahel region during the years 1950–1990. J. Hydrol., 188–189:43–73.
19. Lebel, T., Taupin, J. D., and D'Amato, N., 1997. Rainfall monitoring during HAPEX-Sahel. 1. general rainfall conditions and climatology. J. Hydrol., 188–189:74–96.
20. Leij, F. J., Alves, W. J., van Genuchten, M. Th., and Williams, J. R., 1996. Unsaturated Soil Hydraulic Database UNSODA 1.0. Ada, Oklahoma, USA:US Environ. Protection Agency, R. S. Kerr Environmental Research Laboratory.
21. Liu, Y., Steenhuis, T. S., and Parlange, J.-Y., 1994a. Closed-form solution for finger width in sandy soils at different water contents. Wat. Resour. Res., 30:949–952.
22. Liu, Y., Steenhuis, T. S., and Parlange, J.-Y., 1994b. Formation and persistence of fingered flow fields in coarse grained soils under different moisture contents. J. Hydrol., 159:187–195.
23. Liu, Y., Steenhuis, T. S., Parlange, J.-Y., and Selker, J. S., 1991. “ Hysteretic finger phenomena in dry and wetted sands. ”. In Preferential Flow, (Proc. Nat. Symp., Chicago, Illinois, USA, 16–17 December 1991) Edited by:Gish, T. J., and Shirmohammadi, A., 160–172. St Joseph, Michigan, USA:Am. Soc. Agric. Engrs.
24. Parlange, J.-Y., and Hill, D. E., 1976. Theoretical analysis of wetting front instability in soils. Soil Sci., 122:236–239.
25. Pendexter, W. S., and Furbish, D. J., 1991. “ Development of a heterogeneous moisture distribution and its influence on the evolution of preferred pathways of flow in an unsaturated sandy soil. ”. In Preferential Flow, (Proc. Nat. Symp., Chicago, Illinois, USA, 16–17 December 1991) Edited by:Gish, T. J., and Shirmohammadi, A., 104–112. St Joseph, Michigan, USA:Am. Soc. Agric. Engrs.
26. Philip, J. R., 1975. Stability analysis of infiltration. Soil Sci. Soc. Am. Proc., 39:1042–1049.
27. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992. Numerical Recipes in FORTRAN:The Art of Scientific Computing, second edn Cambridge, UK:Cambridge University Press.
28. Raats, P. A. C., 1973. Unstable wetting fronts in uniform and nonuniform soils. Soil Sci. Soc. Am. Proc., 37:681–685.
29. Ritsema, C. J., and Dekker, L. W., 1994. How water moves in a water repellent sandy soil:2. dynamics of fingered flow. Wat. Resour. Res., 30:2519–2531.
30. Ritsema, C. J., and Dekker, L. W., 1995. Distribution flow:a general process in the top layer of water repellent soils. Wat. Resour. Res., 31:1187–1200.
31. Ritsema, C. J., Dekker, L. W., Hendrickx, J. M. H., and Hamminga, W., 1993. Preferential flow mechanism in a water repellent sandy soil. Wat. Resour. Res., 29:2183–2193.
32. Saffman, P. G., and Taylor, Sir G., 1958. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous fluid. Proc. R. Soc. London, Ser. A, 245:312–329.
33. Selker, J., Parlange, J.-Y., and Steenhuis, T. S., 1992a. Fingered flow in two dimensions:2. predicting finger moisture profile. Wat. Resour. Res., 28:2523–2528.
34. Selker, J. S., Steenhuis, T. S., and Parlange, J.-Y., 1992b. Wetting front instability in homogeneous sandy soils under continuous infiltration. Soil Sci. Soc. Am. J., 56:1346–1350.
35. Sivakumar, M. V. K., 1989. “ Agroclimatic aspects of rainfed agriculture in the Sudano-Sahelian zone. ”. In Soil, Crop, and Water Management Systems for Rainfed Agriculture in the Sudano-Sahelian Zone (Proc. Int. Workshop, 7–11 January 1987, ICRISAT Sahelian Center, Niamey, Niger), International Crops Research Institute for the Semi-Arid Tropics (ICRISAT), Patancheru 502324 17–38. India.:AP.
36. Starr, J. L., DeRoo, H. C., Frink, C. R., and Parlange, J.-Y., 1978. Leaching characteristics of a layered field soil. Soil Sci. Soc. Am. J., 42:386–391.
37. Starr, J. L., Parlange, J.-Y., and Frink, C. R., 1986. Water and chloride movement through a layered field soil. Soil Sci. Soc. Am. J., 50:1384–1390.
38. Steenhuis, T. S., Ritsema, C. J., and Dekker, L. W., 1996. Fingered Flow in Unsaturated Soil:from Nature to Model. Special issue of. Geoderma, 70:83–326. (2–4)
39. Steenhuis, T. S., Ritsema, C. J., Dekker, L. W., and Parlange, J.-Y., 1994. “ Fast and early appearance of solutes in groundwater by rapid and far-reaching flows. ”. In Trans. 15th World Congress of Soil Science, (Acapulco, Mexico, July 1994) Edited by:Etchevers, J. D., Vol. 2, 184–203. a,. The International Society of Soil Science and the Mexican Society of Soil Science
40. 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.
41. van Ommen, H. C., van Genuchten, M. Th., van der Molen, W. H., Dijksma, R., and Hulshof, J., 1989. Experimental and theoretical analysis of solute transport form a diffuse source of pollution. J. Hydrol., 105:225–251.
42. Wang, Z., Feyen, J., Nielsen, D. R., and van Genuchten, M. T., 1997. Two-phase flow infiltration equations accounting for air-entrapment effects. Wat. Resour. Res., 33:2759–2767.
43. West, L. T., Wilding, L. P., Landeck, J. K., and Calhoun, F. G., 1984. Soil Survey of the ICRISAT Sahelian Center, Niamey. Niger. College Station, Texas, USA:Texas A&M University.
44. White, I., Colombera, P. M., and Philip, J. R., 1976. Experimental study of wetting front instability induced by sudden change of pressure gradient. Soil Set Sot:Am. J., 40:824–829.
45. Yates, S. R., van Genuchten, M. Th., Warrick, A. W., and Leij, F. J., 1992. Analysis of measured, predicted & estimated hydraulic conductivity using the RETC computer program. Sol Sci. Soc, Am. J., 56:347–354.