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Formulas of ground-water flow through wedge-shaped aquifers are obtained for several flow systems of practical interest. It is assumed that the flow has no significant component of velocity in the y direction so that its pattern is the same in all parallel vertical xz planes. The results are presented in terms of functions that are already available in tabular form, making these analytical expressions as easy to use as any other simple formula. These results show that the flow in wedge-shaped aquifers cannot be approximated by the flow in aquifers of uniform thickness (as currently practiced) except during very short periods which become longer for points closer to the source of the flow.
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Mahdi S. Hantush (1962) studied this question.
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