Infiltration from Trickle Irrigation Source
- 1 December 1984
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Irrigation and Drainage Engineering
- Vol. 110 (4) , 331-341
- https://doi.org/10.1061/(asce)0733-9437(1984)110:4(331)
Abstract
The two‐dimensional nonlinear partial differential equation that describes the transient movement of water in an unsaturated porous medium is investigated by using the zero‐order continuous linear finite element method. The governing equation is transformed logarithmically to smooth the abrupt changes in the soil‐water characteristic relations. The Newton‐Raphson method is used to iterate toward the “exact” solution of the original nonlinear equations. In addition, a modified implicit finite difference scheme is used to approximate the time derivatives. Predictions of the finite element model are verified with a one‐dimensional example. The model is then used to investigate two‐dimensional infiltration from a trickle irrigation source. The numerical results compare well with those obtained from laboratory and field experiments. The advantage of the present model is its capability to simulate water movement through very dry soil environments, which causes a steep moisture front, as well as its potential ap...Keywords
This publication has 5 references indexed in Scilit:
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- Water Movement in Soil from Trickle SourceJournal of the Irrigation and Drainage Division, 1976
- Simultaneous Solute and Water Transfer for an Unsaturated SoilWater Resources Research, 1971
- Infiltration from a Trickle Source: I. Mathematical ModelsSoil Science Society of America Journal, 1971
- Infiltration from a Trickle Source: II. Experimental Data and Theoretical PredictionsSoil Science Society of America Journal, 1971