Mathematical model of the evolution of the fresh water lens under the dunes and beach with semi-diurnal tides
Lebbe, L. (1983). Mathematical model of the evolution of the fresh water lens under the dunes and beach with semi-diurnal tides. Geol. Appl. Idrogeol. 18(2): 211-226
The mathematical model of solute transport and dispersion of Konikow & Bredehoeft (1978) has been modified so that density-difference effects can be taken into account. With this two-dimensional model the evolution of the fresh-water lens under the dunes and under the shore was studied in a vertical cross-section. At initial time the whole aquifer is supposed to be filled with salt water. A constant infiltration rate of fresh water in the dunes and a constant hydraulic head under the dunes in function of the semi- diurnal tides is assumed. The vertical boundary under the sea is a constant- hydraulic-head boundary; the one under the dunes is a no-horizontal flow boundary. The results are compared with field measurements. The hydraulic parameters which have an influence on the distribution of salts will be treated. Finally the effect of water withdrawal in the dunes on the salt distribution can be estimated by the mathematical model.
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