Research Article

3D Pore-Scale Mixing Interface Evolution

Authors
  • Daniel M C Hallack orcid logo (Universtity of Notre Dame)
  • Guillem Sole-Mari orcid logo (University of Rennes)
  • Saif Farhat orcid logo (University of Notre Dame)
  • Diogo Bolster orcid logo (University of Notre Dame)

Abstract

The effective mixing behavior of solutes in porous media is fundamentally connected to the development of a local mixing interface between the two initial solutions, which is characterized by a complex lamellar structure. The deformation of the interface is controlled by the interplay of advection and diffusion, which generate the mechanisms of lamella  stretching and shrinking, respectively. Based on the results of pore-scale numerical simulations, we develop a mechanistic single parabolic lamella model (SPLM) to capture the interface evolution across various temporal and P'eclet number scales. The model shows near-perfect agreement with a 2D parallel plates scenario and promising results for a 3D porous medium. The SPLM model also establishes P'eclet regimes for the equilibrium area and temporal regimes for the transient behavior of the interface. These findings represent a step forward towards eventually incorporating mixing limitation into general macroscopic reactive transport models.

Keywords: Pore-Scale Transport, Mixing Interface, Lamella

How to Cite:

M C Hallack, D., Sole-Mari, G., Farhat, S. & Bolster, D., (2025) “3D Pore-Scale Mixing Interface Evolution”, ARC Geophysical Research (1), 2. doi: https://doi.org/10.5149/ARC-GR.1294

Downloads:
Download PDF
View PDF

Funding

222 Views

33 Downloads

Published on
13 Jan 2025
Peer Reviewed