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Soil Science Society of America Journal Abstract -

Solution to the One-Dimensional Linear Moisture Flow Equation with Water Extraction1


This article in SSSAJ

  1. Vol. 38 No. 4, p. 573-576
    Received: Nov 19, 1973
    Accepted: Mar 11, 1974

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  1. A. W. Warrick2



The one-dimensional, steady-state moisture flow equation is solved for arbitrary plant water withdrawal functions using the matric flux potential of earlier investigators to obtain a linearized form. A semi-infinite flow medium and a finite-depth medium overlying a shallow water table are considered with the surface boundary condition taken as a flux. Tables are presented giving the matric flux potential (from which the pressure head is easily determined) for several withdrawal functions. Numerical examples show the effects of different surface fluxes and rooting depths on the matric flux potential and pressure-head profiles. The results are particularly relevant for high-frequency irrigation.

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