22–25 May 2023
Europe/London timezone

NAPL dissolution and transport in porous media: Upscaling the Mass Exchange Coefficient

22 May 2023, 11:35
15m
Oral Presentation (MS06-A) Physics of multiphase flow in diverse porous media MS06-A

Speaker

Anne-Julie Tinet (GeoRessources - Université de Lorraine)

Description

Understanding and modelling contaminant transport is necessary to assess pollution sources’ lifetime and severity and optimize the remediation strategies. The transfer of contaminants from the NAPL (Non-Aqueous Phase Liquids) phase to the aquifer is a multi-scale problem with different transport mechanisms within the various phases and at the interfaces. This two-phase flow problem is, in particular, driven by mass transfer between both phases, and is generally described by local non-equilibrium models. Such models at the macroscopic scale include transport equations for each phase which are coupled through one or several mass exchange coefficients. While these coefficients, which integrate the impacts of different pore-scale features (pore geometry, phase distribution, flow velocity), play a key role in the fate of the pollution source, it is usually approximated, for a given phase saturation, by a constant value estimated from empirical correlations (Quintard and Whitaker 1994, Soulaine et al., 2011). However, it generally shows a transient behaviour and can evolve with NAPL phase composition and relative solubilities, which remains poorly studied (Shafieiyoun & Thomson, 2018).
In this work, we start with the numerical modelling of the problem at the pore scale using COMSOL Multiphysics. The NAPL phase is considered an immobile blob at the pore centre and is composed of a non-soluble component and one or more soluble components. At this scale, the dissolution is implemented using Raoult’s law at the interface between phases. The solubilities evolve in a complex and coupled way as a function of the mass fractions of the considered components, themselves dependent on time. The change in the NAPL’s volume is modelled using an ALE approach and the derived equation for the interface velocity. Flow and transport in the water phase are considered and transport in the NAPL may be taken into account. We study the impact of different factors (number of soluble components, component diffusions, interface evolution, Péclet number) on the form and behaviour of the mass exchange coefficient. In the second step, we upscale from the pore scale to the Darcy scale using a numerical approach, with a focus on the mass exchange coefficient. The potential implications of replacing this time-and-space-dependent mass transfer coefficient in a Darcy-scale model with a constant and unique value as well as with a function of different state variables are discussed.

References

Bahar T.B., Golfier F., Oltéan C., Benioug M. 2016, An upscaled model for bio-enhanced NAPL Dissolution in porous media, Transport in Porous Media, 113(3) (2016) 653-693
Shafieiyoun S., Thomson N.R., 2018. The role of intra-NAPL diffusion on mass transfer from MGP residuals. Journal of Contaminant Hydrology 213 (2018) 49–61.
Soulaine C., Debenest G., Quintard M., 2011. Upscaling multi-component two-phase flow in porous media with partitioning coefficient. Chem Eng Sci 66 (2011) 6180–6192.
Quintard, M., & Whitaker, S. (1994). Transport in ordered and disordered porous media II: Generalized volume averaging. Transport in porous media, 14(2), 179-206.

Participation In-Person
Country France
MDPI Energies Student Poster Award No, do not submit my presenation for the student posters award.
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Primary authors

Dr Narges Dashtbesh (Université de Lorraine, CNRS, GeoRessources) Anne-Julie Tinet (GeoRessources - Université de Lorraine) Fabrice GOLFIER (Université de Lorraine - GeoRessources Laboratory) Dr Constantin Oltean (Université de Lorraine, CNRS, GeoRessources) Michel Quintard (Institut de Mécanique des Fluides de Toulouse)

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