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Infiltration and Water Extraction from Trickle Irrigation Source: The Effective Hemisphere Model¹

ABSTRACT

Infiltration from a point trickle source in the presence of water extraction is investigated using an approximate hemispherical model. Analytic expressions for the position of the wetting front are derived. In the short-time limit the wetting front follows a simple t^1/3 dependence. The rate of advance of the wetting front depends on a single soil parameter, closely related to the saturated water content. At larger times the effects of water extraction modify the solution to an exponential approach to a limiting radius, which is determined by the balance between the competing discharge and extraction processes. The results are consistent with available experimental data and with predictions of various existing models.

¹ Contribution from the Jacob Blaustein Institute for Desert Research, Ben Gurion Univ. of the Negev, Sede Boqer Campus, 84990, Israel.

² Soil Scientist and Physicists, the Jacob Blaustein Institute for Desert Research, Ben Gurion Univ. of the Negev, Israel 84105.

Received for publication July 5, 1985.

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