Abstract

The present paper describes the results of a study on the unsteady flow in a horizontal homogeneous filter, which is accomplished when the level of the reservoir that recharges the filter is instantly drawn up. This study was carried out at the University of Palermo Institute of Hydraulics as a part of a research program concerning artificial recharge of ground water and the geotechnical problems involving the stability of porous media subject to the variations of surrounding pressures. A numerical procedure, aiming at solving the equation of Boussinesq by a finite difference method, was adopted and an electronic computer was used. A Hele-Shaw filter model was used to carry out several experiments. The numerical results are in good agreement with the experimental ones and with those described in earlier papers dealing with analytical procedures. Such results are expressed as adimensional variables and are shown in a diagram which describes synthetically the whole phenomenon. Practical problems will thus be solved more easily.

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