Derivation of Seawater Intrusion Models by Formal Asymptotics
نویسندگان
چکیده
In this paper, we consider the flow of fresh and saltwater in a saturated porous medium in order to describe the seawater intrusion. Starting from a formulation with constant densities respectively of fresh and saltwater, whose velocities are proportional to the gradient of pressure (Darcy’s law), we consider the formal asymptotic limit as the aspect ratio between the thickness and the horizontal length of the porous medium tends to zero. In the limit of the regime defined by the Dupuit-Forchheimer condition, we identify reduced models of Boussinesq type both in the cases of unconfined and confined aquifers.
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Formal derivation of seawater intrusion models
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 74 شماره
صفحات -
تاریخ انتشار 2014