1 introduction seawater intrusion is a well known

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Unformatted text preview: if ergodicity is assumed. Now, substituting the random fluctuations in equation (38) and taking averages, we obtain: () () 2 φ = 1 − Z + z ² and σ Z 2 = φ − 1 − Z 2 where the mean <Z> remains to be determined. On the other hand, from equation (38) : Z = 1 − φ 1 / 2 (for 0<x<L1 and 1>Z>0). Z = 1 − φ 1/ 2 (1 + κ )1 / 2 with κ= ϕ φ <1 (42) (43) (44) Modélisation stochastique de l'intrusion saline en 2D plan Fig. 2 Perspective view of ZSALT (x,y), H(x,y), and log K(x,y) for a gaussshaped isotropic covariance with σ = ln10 and L/λ = 30. Simulation grid: 300×300 Fig. 3 Perspective view of ZSALT (x,y), H(x,y), and log K(x,y) for a gauss-shaped isotropic covariance with σ = ln10 and L/λ = 100. Simulation grid: 1000×1000 64 Modélisation stochastique de l'intrusion saline en 2D plan 30 homogenous field Zsalt(x) Mean for N(1,1) Zsalt(x) Mean for N(1,ln(10)) 25 Zsalt (m) 20 15 10 5 0 0 100 200 300 400 500 600 700 800 900 1000 x (m) Fig. 4 Mean ZSALT(x) profile transverse to seashore for a 300×300 grid : analytical solution for σ = 0 and computed mean profiles for σ = 1.0 to ln10 (ZSALT increases with σ)...
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