Abstract
Conformal mappings and integral representations of the Dirichlet boundary value problem for analytic functions are employed to solve explicitly the problem of steady, two-dimensional, Darcian seepage from a reservoir with fresh water to a sea in a confined aquifer of a finite thickness. A sharp interface between moving fresh and stagnant saline water forming a wedge is determined depending on one dimensionless parameter, which includes the difference in water elevations between the reservoir and the sea, the contrast in water densities, and the aquifer thickness: If the acting head reaches some critical(minimal) value, saline water will always stay at some depth; that is, the wedge will have an infinite width. In this case the interface coincides with the Saffman-Taylor shape of a finger in a Hele-Shaw apparatus.
Original language | English |
---|---|
Pages (from-to) | 3387-3391 |
Number of pages | 5 |
Journal | Water Resources Research |
Volume | 37 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2001 |
ASJC Scopus subject areas
- Environmental Science(all)
- Environmental Chemistry
- Aquatic Science
- Water Science and Technology