Abstract
An exact, analytical solution is developed for one-dimensional soil water flow. Assumptions are that the unsaturated conductivity is exponential with pressure head and that the soil-moisture diffusivity is constant. The surface boundary condition is taken as a time-dependent specified-intake velocity. A sink function for plant-water uptake is described by a sequence of depth-dependent functions which change at specified times. Numerical examples include drainage, infiltration, steady uptake and cyclic surface flux and uptake patterns. The linearizing assumptions are the most realistic for short cycles, but in any case the exact nature of the answers make them ideal for checking numerical approximations, such as finite differencing.
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