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ANZIAM J. 46(E) pp.C1055--C1068, 2005.

Infiltration from irrigation channels into soil with impermeable inclusions

Maria Lobo

David L. Clements

Nyoman Widana

(Received 15 October 2004; revised 16 September 2005)

Abstract

We consider the effect of impermeable inclusions on the infiltration of water from irrigation channels in a homogeneous soil. An expression for the matric flux potential throughout the soil is obtained in terms of a boundary integral equation. A Green's function derived by Basha [Water Resources Research, 30:2105--2118, 1994] is suitable for numerical calculations for this class of problems. This Green's function is employed in the boundary integral equation to obtain numerical values for the matric flux potential for a soil with embedded impermeable inclusions of various shapes. The numerical results indicate how impermeable inclusions may be used to effectively direct the flow from irrigation channels to particular regions below the soil surface.

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Authors

Maria Lobo

Department of Applied Mathematics, University of Adelaide, Australia. Present address: Department of Mathematics, Universitas Nusa Cendana, West Timor, Indonesia.

David L. Clements

Department of Applied Mathematics, University of Adelaide, Australia, mailto:david.clements@adelaide.edu.au

Nyoman Widana

Department of Applied Mathematics, University of Adelaide, Australia. Present address: Department of Mathematics, University of Udayana, Bali Indonesia

Published October 14, 2005. ISSN 1446-8735

References

1. M. I. Azis, D. L. Clements and M. Lobo. A boundary element method for steady infiltration from periodic channels. ANZIAM J., 44(E):C61--C78, 2003.
2. H. A. Basha. Multidimensional steady infiltration with prescribed boundary conditions at the soil surface. Water Resources Research, 30:2105--2118, 1994.
3. V. Batu. Steady infiltration from single and periodic strip sources. Soil Science Society of America Journal, 42:545--549, 1978.
4. W. R. Gardner. Some steady state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Science, 85:228--232, 1957.
5. J. R. Philip. General theorem on steady infiltration from surface sources, with application to point and line sources. Soil Science Society of America Proceedings, 35:867--871, 1971.
6. J. R. Philip. Steady infiltration from burried point sources and spherical cavities. Water Resources Research, 4:1039--1047, 1968.