Analysis of infiltration of 2D trickle irrigation under multiple-line sources

Hydrological Processes

Volumn 22, Issue 14, 2008, Pages 2657-2666

  Chen, Jiann Mou ^a   Tan, Yih Chi ^b   Wu, Yu Zhang ^b  

^a HWA HSIA INSTITUTE OF TECHNOLOGY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Fourier integral transformation; Infiltration; Trickle irrigation; Volumetric water content

Indexed keywords

FOURIER SERIES; FOURIER TRANSFORMS; INFILTRATION; INTEGRAL EQUATIONS; NUMERICAL METHODS; SEEPAGE; SOIL MECHANICS; SOLUTIONS; SUBIRRIGATION; WATER ANALYSIS; WATER CONTENT;

CLOSED-FORM SOLUTIONS; FOURIER INTEGRAL TRANSFORMATION; LINE SOURCES; NUMERICAL MODELLING; RICHARDS EQUATION; TRICKLE IRRIGATION; VOLUMETRIC WATER CONTENT; WATER DEMANDS;

IRRIGATION;

FOURIER TRANSFORM; INFILTRATION; IRRIGATION; NUMERICAL METHOD; NUMERICAL MODEL; WATER CONTENT;

EID: 48649100330     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.6862     Document Type: Article

References (23)

1. Bresler E, Heller J, Diner N, Ben-Asher J, Brandt A, Goldberg D. 1971. Infiltration from a trickle source, II. Experimental data and theoretical predictions. Soil Science Society of America Proceedings 35: 683-689.
2. Chen J-M Y-C Tan, Chen C-H, Parlange J-Y. 2001a. Analytical solutions for linearized Richards equation with arbitrary time-dependent surface fluxes. Water Resources Research 37(4): 1091-1093.
3. Chen J-M, Tan Y-C, Chen C-H. 2001b. Multidimensional infiltration with arbitrary surface fluxes. Journal of Irrigation and Drainage Engineering, ASCE 127(6): 370-377.
4. Chen J-M, Tan Y-C, Chen C-H. 2003. Analytical solutions of one dimensional infiltration before and after ponding. Hydrological Processes 17: 815-822.
5. Chen J-M, Tan Y-C. 2005. Analytical solutions of infiltration process under ponding irrigation. Hydrological Processes 19(18): 3593-3602.
6. Elmaloglou St, Malamos N. 2003. A method to estimate soil-water movement under a trickle surface line source, with water extraction by roots. Hydrological Processes 52(3): 273-284.
7. Fok YS, Chung SO, Liu CCK. 1982. Two-dimensional exponential infiltration equations. Journal of the Irrigation and Drainage -ASCE 108(4): 231-241.
8. Lockington D, Parlange J-Y, Surin A. 1984. Optimal prediction of the saturation and wetting fronts during trickle irrigation. Soil Science Society of America Journal 48: 488-494.
9. Parlange J-Y. 1972a. Two and three dimensional steady infiltration. Soil Science 113: 96-101.
10. Parlange J-Y. 1972b. Theory of water movement in soils: 8. One-dimensional infiltration with constant flux at the surface. Soil Science 114: 1-4.
11. Parlange J-Y, Turner NC, Waggoner PE. 1975. Water uptake, diameter change and nonlinear diffusion in tree stems. Plant Physiology 55: 247-250.
12. Philip Jr. 1971. General theorem on steady infiltration from surface sources with application to point and line sources. Soil Science Society of America Proceedings 35: 867-871.
13. Raats PAC. 1971. Steady infiltration from point sources, cavities, and basins. Soil Science Society of America Proceedings 35: 689-694.
14. Raats PAC. 1972. Steady infiltration from sources at arbitrary depth. Soil Science Society of America Proceedings 36: 399-401.
15. Raats PAC. 1977. Laterally confined, steady flows of water from sources to sinks in unsaturated soils. Soil Science Society of America Journal 41: 294-304.
16. Ragab R, Feyen J, Hillel D. 1984. Simulating infiltration in sand from a trickle line source using the matrix flux potential concept. Soil Science 137: 120-127.
17. Revol Ph, Clothier BE, Kosuth P, Vachaud G. 1996. The free-water pond under a trickle source: a field test of existing theories. Irrigation Science 16: 169-173.
18. Taghavi SA, Marino MA, Rolston DE. 1984. Infiltration from a trickle irrigation source. Journal Irrigation and Drainage Engineering ASCE 110(2): 331-341.
19. Van Genuchten MTh. 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science of America Journal 44: 892-898.
20. Warrick AW. 1974. Time-dependent linearized infiltration (I: Point sources). Soil Science Society of America Proceedings 38: 383-387.
21. Warrick AW, Lomen DO. 1976. Time-dependent linearized infiltration (III: Strip and disc sources). Soil Science Society of America Journal 40 639-643.
22. Warrick AW, Amoozegard-Fard A, Lumen DO. 1979. Linearized moisture flow from line source with water extraction. Transactions ASAE 22(3): 549-553.
23. Zur B. 1996. Wetted soil volume as a design objective in trickle irrigation. Irrigation Science 16: 101-105.