Abstract
The analytical integration of the differential equation of unsaturated flow with constant infiltration rate at the soil surface is difficult and no solution has been obtained so far. Here we present an approximate solution by linearization the equation of flow. A similar procedure was applied by Philip (1969 a) for infiltration at constant moisture content.
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References
Carslaw, H. S., Jaeger, J. C: Conduction of heat in solids (2nd ed.), pp. 388–389. Oxford: Clarendon Press 1959.
Philip, J. R.: A linearization technique for the study of infiltration. In: Symposium on water in the unsaturated zone. Wageningen 1966, pp. 471–477. Paris: UNESCO 1969 a.
Philip, J. R.: Theory of infiltration. In: Advances in Hydroscience. New York: Academic Press 1969 b, 5, pp. 215–296.
Rubin, J., Steinhardt, R.: Soil water relations during rain infiltration, 1. Theory. Soil Sci. Soc. Amer. Proc. 27, 246–251 (1963).
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© 1973 Springer-Verlag Berlin · Heidelberg
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Braester, C. (1973). Linearized Solution of Infiltration at Constant Rate. In: Hadas, A., Swartzendruber, D., Rijtema, P.E., Fuchs, M., Yaron, B. (eds) Physical Aspects of Soil Water and Salts in Ecosystems. Ecological Studies, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65523-4_6
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DOI: https://doi.org/10.1007/978-3-642-65523-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65525-8
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