Transient flow to open drains

Comparison of linearized solutions with and without the Dupuit assumption

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Abstract

A solution of the Laplace equation with linearized boundary conditions is presented for unsteady flow through a rectangular aquifer. The results are compared with those of the linearized Boussinesq equation. The linearized solution based on the Laplace equation is as, easy to use as Boussinesq's solution, has a wider range of application, and allows accurate computation of streamlines.

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