The model based on the sharp interface hypothesis is

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Unformatted text preview: rving robustness and efficiency. The work is divided into three parts: In the first part, we develop a new 3D numerical model for variable density flow in porous media under the sharp interface approximation. This new model is based on non-linear ‘effective’ saturation and conductivity relations, in a modified Richards flow equation. The second part corresponds to the development and implementation of a vertically integrated saltwater intrusion model, to study the effect of stochastic heterogeneity in a coastal aquifer. The model, based on the sharp interface hypothesis, is implemented as a 2D module in the finite volumes code BIGFLOW 2D/3D. The new module is used for analyzing the variability of the salt / fresh interface through Monte Carlo simulations with spatial sampling (single realization). These results are compared to a new theory where the random field interface is analyzed via a transformation combined to a perturbation method and a spectral representation (Fourier / WienerKhinchine). In the third and last part, we present a...
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This document was uploaded on 01/19/2014.

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