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Études théorique et expérimentale du transport de fluides miscibles en cellule Hele-Shaw

Abstract : This thesis is an experimental and numerical investigation of solute transport and sedimentation in a Hele-Shaw cell with zonal flow. A vertical cell joining two large tanks has been built to provide a uniform horizontal flow, the velocity of which has been measured by using PIV. The concentration field of a solute injected in this flow has been measured by using LIF. Three typical plume configurations have been observed: without digitations (stable), with a single digitation (weakly unstable), and with various digitations appearing at the lower interface (unstable plume). The influence of density contrast, zonal flow and solute flow rate on the appearance of the various configurations has been investigated. These results have been compared to numerical simulations using the COMSOL Multiphysics® software. The numerical concentration fields are in qualitative agreement with the experimental ones. In addition, these simulations allowed us to investigate the effect of the anisotropy of the dispersion tensor on the occurrence of unstable configurations. A linear stability analysis based on a uniform parallel flow superposed to a quasi-steady horizontal layer of solute has been performed. It shows that the plume is convectively unstable for the parameters considered here, and confirms the various behaviors observed in both the experimental and the numerical analyses, like the stabilizing effect of the longitudinal dispersivity or the destabilizing effect of the solute concentration
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Hung Truong Trieu. Études théorique et expérimentale du transport de fluides miscibles en cellule Hele-Shaw. Autre. Institut National Polytechnique de Lorraine, 2011. Français. ⟨NNT : 2011INPL027N⟩. ⟨tel-01748931⟩

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