Approach for predicting the wetting front depth beneath a surface point source: Theory and numerical aspect

Irrigation and Drainage

Volumn 51, Issue 4, 2002, Pages 347-360

  Moncef, Hammami ^a   Hedi, Daghari ^b   Jelloul, Balti ^c   Mohamed, Maalej ^d  

^a Higher School of Agriculture of Mateur University of Carthage   (Tunisia)

^b INSTITUT NATIONAL AGRONOMIQUE DE TUNISIE   (Tunisia)

^c University of Carthage   (Tunisia)

^d Institut National de Recherche Scientifique et Technique Tunis   (Tunisia)

Author keywords

Trickle irrigation; Wetting front; Wetting front radius

Indexed keywords

EID: 2342616926     PISSN: 15310353     EISSN: None     Source Type: Journal    
DOI: 10.1002/ird.60     Document Type: Article

References (39)

1. Ababou R. 1981. Modélisation des transferts hydriques dans le sol en irrigation. Thèse Docteur-Ingénieur, Institut Polytechnique de Grenoble, 217 pp.
2. Akbar Ali Khan, Muluneh Yitayew, Warrick AW. 1996. Field evaluation of water and solute distribution from a point source. Journal of Irrigation and Drainage Engineering July/August: 221-227.
3. Balti J. 1993. Etude numérique et expérimentale de l'irrigation par la méthode des jarres. Thèse de doctorat de spécialité en physique de la faculté des sciences de Tunis, 115 pp.
4. Ben-Asher J, Charach CH, Zemel A. 1986. Infiltration and water extraction from trickle irrigation source: the effective hemisphere model. Soil Science Society of America Journal 50: 882-887.
5. Brandt A, Bresler E, Diner N, Ben-Asher I, Heller J, Godelberg D. 1971. Infiltration from a trickle source: 1. Mathematical models. Soil Science Society of America Proceedings 35: 675-682.
6. By Fred LO. Bahram S. 1997. Green and Ampt infiltration with redistribution. Journal of Irrigation and Drainage Engineering 123: 386-393.
7. Cindy SK, Hunt JR. 1996. Prediction of wetting front movement during one-dimensional infiltration into soil. Water Resources Research 32: 55-64.
8. Clement TP, Wise WR, Molz FJ. 1994. A physically based, two-dimensional, finite-difference algorithm for modelling variably saturated flow. Journal of Hydrology 161: 71-90.
9. Clothier BE. 1984. Solute travel times during trickle irrigation. Water Resources Research 20: 1848-1852.
10. Clothier BE, Scotter DR. 1982. Constant flux infiltration from a hemispherical cavity. Soil Science Society of America Journal 46: 696-700.
11. Darusman Khan AH, Stone LR, Lamm FR. 1997. Water flux below the root zone vs. drip-line spacing in drip-irrigated corn. Soil Science Society of America Journal 61: 1755-1760.
12. Eugenio CF, Dani O. 1996. A parametric model for two-dimensional water uptake intensity by corn roots under drip irrigation Soil Science Society of America Journal 60: 1039-1049.
13. Eugenio CF, Dani O. 1997. Applicability of analytical solutions for flow from point sources to drip irrigation management. Soil Science Society of America Journal 61: 1331-1341.
14. Gardner WR, Hillel D, Benyamini Y. 1970. Post irrigation movement of soil water: I. Redistribution. Water Resources Research 6(3): 851-861.
15. Hammami M. 2001. Nouvelle approche pour déterminer le volume de sol humidifié par un goutteur. Thèse de Doctorat d'Etat en Sciences Physiques, Université de Tunis, 214 pp.
16. Hammami M, Maalej M. 1999. Prédiction de la profondeur de sol humidifiée sous goutteur. Rev. Sci. Eau 12(2): 273-284.
17. Haverkamp R, Ross PJ, Smettem KRJ, Parlange JY. 1994. Three-dimensional analysis of infiltration from the disc infiltrometer. 2. Physical based infiltration equation. Water Resources Research 30: 2931-2935.
18. Haverkamp R, Vauclin M, Touma J, Wierenga PJ, Vachaud G. 1977. A comparison of numerical simulation models for one-dimensional infiltration. Soil Science Society of America Journal 41: 285-293.
19. Healy W, Warrick AW. 1988. A generalised solution to infiltration from surface soil point source. Soil Science Society of America Journal 52: 1245-1251.
20. Hillel D. 1988. L'eau et le sol; principes et processus physiques. Translated from English by Loi-W De Backer. Académia: Louvain-la-neuve; 288 pp.
21. Jury WA, Earl KD. 1977. Water movement in bare and cropped soil under isolated trickle emitters: I. Analysis of bare soil experiments. Soil Science Society of America Journal 41: 852-856.
22. Keller J, Bliesner RD. 1990. Sprinkle and Trickle Irrigation. An AVI Book. Van Nostrand Reinhold. New York; 640 pp.
23. Lafolie F, Guennelon R, Van Genuchten M. Th. 1989. Analysis of water flow under trickle irrigation: I. Theory and numerical solution. Soil Science Society of America Journal 53: 1310-1318.
24. Levin I, Van Rooyen PC, Van Rooyen FC. 1979. The effect of discharge rate and intermittent water application by point-source irrigation on the soil moisture distribution pattern. Soil Science Society of America Journal 43: 8-16.
25. Michelakis N, Vougioucalou E, Clapaki G. 1993. Water use, wetted soil volume, root distribution and yield of avocado under drip-irrigation. Agricultural Water Management 24: 119-131.
26. Mualem Y. 1976. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research 12: 513-522.
27. Philip JR. 1957. Theory of infiltration: 4. Sorptivity and algebraic infiltration equations. Soil Science 84: 257-264.
28. Philip JR. 1984. Travel times from buried and surface infiltration point sources. Water Resources Research 20: 990-994.
29. Philip JR. 1989. The scattering analog for infiltration in porous media. Reviews of Geophysics 27: 431-448.
30. Raats PAC. 1971. Steady infiltration from point sources cavities and basins. Soil Science Society of America Journal 35: 689-694.
31. Revol P. 1994. Caractérisation hydrodynamique des sols par infiltration bidimensionnelle axisymétrique et modélisation simplifiée de la micro-irrigation. Thèse université de Grenoble, 221 pp.
32. Revol P, Clothier BE, Mailhol J-C, Vachaud G, Vauclin M. 1997. Infiltration from a surface point and drip irrigation. 2. An approximate time-dependent solution for wet-front position. Water Resources Research 33: 1869-1874.
33. Schwar Tzmass M, Zur B. 1985. Emitter spacing and geometry of wetted soil volume. Journal of Irrigation and Drainage Engineering, ASAE 112: 242-253.
34. Smettem KRJ, Ross PJ, Haverkamp R, Parlange JY. 1995. Three-dimensional analysis of infiltration from the disk infiltrometer. 3. Parameter estimation using a double-disk tension infiltrometer. Water Resources Research 31: 2491-2495.
35. Van Genuchten M. TH. 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 44: 892-897.
36. Vauclin M. 1989. Flow of water and air in soils: theoretical and experimental aspects. H.J. Morel Seytoux, Unsaturated Flow in Hydrologic Modeling: Theory and Practice. Kluwer Academic Publishers; 53-91.
37. Vauclin M, Haverkamp R, Vachaud G. 1979. Résolution numérique d'une équation de diffusion non linéaire. (Application à l'infiltration de l'eau dans le sol non saturé). Presses Universitaires de Grenoble; 183 pp.
38. Wooding RA. 1968. Steady infiltration from a shallow circular pond. Water Resources Research 4: 1259-1273.
39. Zhang R. 1997. Infiltration models for the disk infiltrometer. Soil Science Society of America Journal 61: 1597-1603.