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Unformatted text preview: rface, and modifying the BadonGhyben-Herzberg configuration to account for a finite outflow face of height ΔZ located undersea, we obtain: ρF g (H − ZSALT ) = ρS g (ZSEA − ZSALT − ΔZ ) + ρF g ΔZ (26) This gives finally the desired closure relation: (H − Z SEA ) − δZ Z SALT = Z SEA − (27) ε In these equations, ρF is freshwater density, ρS is saltwater density, and ε is the saltwater-tofreshwater density contrast: ε= ρS − ρF 1 ≈ 40 ρF (28) Parameter ΔZ is the vertical depth of the freshwater outflow face at the shoreline, assumed much smaller than aquifer thickness. It can be obtained from exact solution of seawater intrusion in a vertical slice (x,z) of a homogeneous confined aquifer, without depth-averaging. Here, ΔZ is about 0.77 m, compared to 30 m aquifer thickness. For freshwater flow, we use the Dupuit-Boussinesq plane flow approximation. The freshwater thickness is defined as: η ( x, y) = H ( x, y) − Zinf ( x, y) or η(x, y) = H(x, y) − Zsalt(x, y) (29) depending on spatial...
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This document was uploaded on 01/19/2014.

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