A Simple Model for Estimating Phreatic Surface Location and Seepage Discharge through a Small Homogeneous Earth Dam on Inclined Foundation

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This paper presents a model using the Dupuit approximation applicable to the case in which a small homogeneous earth dam constructed on inclined foundation in order to estimate the phreatic surface location and the seepage discharge through the dam. Analytical results obtained from the model are validated by comparison with the results obtained from a BEM model of the Laplacian field. Main results are as follows: i) The phreatic surface location of the analytical result of the model tends to be higher than that computed by the BEM, ii) The height of the seepage-out point obtained from the analytical result is almost identical with that by the BEM, and iii) The seepage discharge obtained from the analytical result is larger than that by the BEM; their ratio is between 1.113 and 1.243. From all results of the test cases, it is shown that these analytical results are useful for analyzing seepage through a homogeneous earth dam on inclined foundation.

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