Abstract
A kinematic-wave model is developed for simulating the movement of soil moisture in unsaturated soils with plants. The model involves three free boundaries. Analytical solutions are derived when the plant roots are assumed to extract moisture at a constant rate and the upstream boundary condition is independent of time. Numerical solutions are the only resort when the moisture extraction and the upstream boundary condition both depend on time.
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Singh, V.P., Joseph, E.S. Kinematic-wave model for soil-moisture movement with plant-root extraction. Irrig Sci 14, 189–198 (1994). https://doi.org/10.1007/BF00190190
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DOI: https://doi.org/10.1007/BF00190190