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Transport d'une solution saline en cellule de Hele-Shaw - Expériences et simulations numériques

Abstract : To study the spatio-temporal evolution of a miscible and non-reactive contaminant into a saturated porous media, a laboratory model (a transparent Hele-Shaw cell) was developed. The carrying out of the experimental set-up, the plates are made of optical glass, allowed to elaborate a global and non-intrusive method to measure concentration in the mixing zone. This method is based on light absorption properties by dye marking injected solution. The analogy between a Hele-Shaw cell and a porous medium is derived from the fact that the flow velocity averaged between the two plates is described by Darcy's law. Moreover, the averaged tracer transport is described by a dispersion tensor (Taylor dispersion). For a heterogeneous fluid (e.g.: density or dynamic viscosity contrasts), the conditions of analogy are obtained by an analytical approach using asymptotic development and homogenization to take into account the density and dynamic viscosity variation according to the concentration. A new structure of the dispersion tensor is obtained. According to flow rate and salt mass fraction of the injected solution, qualitatively reproducible results show that the plume propagates with a finger or two fingers shape. An empirical criterion, based on the ratio between gravitational velocity and that at the injection, is formulated to predict the type of propagation. Simulations, carried out with a numerical code developed at the laboratory and including the new structure of the dispersion tensor, allowed to: (i) to reproduce experimental results obtained for homogeneous and heterogeneous media and (ii) to analyze the influences of the diffusion, the injection geometry or the dispersion regime type on the solute numerical distributions.
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Contributor : Christophe Felder <>
Submitted on : Tuesday, May 18, 2004 - 2:48:06 PM
Last modification on : Monday, November 9, 2020 - 9:46:03 AM
Long-term archiving on: : Friday, April 2, 2010 - 8:14:29 PM


  • HAL Id : tel-00006120, version 1



Christophe Felder. Transport d'une solution saline en cellule de Hele-Shaw - Expériences et simulations numériques. Dynamique des Fluides [physics.flu-dyn]. Institut National Polytechnique de Lorraine - INPL, 2003. Français. ⟨tel-00006120⟩



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