Abstract
A probability distribution for the piezometric head in groundwater flow was derived using the principle of maximum entropy (POME). The constraints imposed on the system were the natural probability theorem and the conservation of mass. Two cases of one dimensional steady flow for confined and unconfined aquifers were considered. The only constraint needed for the confined case was that of the total probability. The constraints used for the unconfined flow were those of the total probability and the conservation of mass. Both derivations result in the classical solution for these types of groundwater flow.
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© 1994 Springer Science+Business Media Dordrecht
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Barbé, D.E., Cruise, J.F., Singh, V.P. (1994). Derivation of a Distribution for the Piezometric Head in Groundwater Flow Using Entropy. In: Hipel, K.W. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/4. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1072-3_12
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DOI: https://doi.org/10.1007/978-94-011-1072-3_12
Publisher Name: Springer, Dordrecht
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