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<p>Understanding fluid transport in microporous media remains a complex challenge due to the intricate interplay of heterogeneity and scale-dependent behaviours. This study introduces a novel multiscale discretisation framework, specifically tailored for dual-porosity systems, and integrates it with an enhanced multiphase solver to determine representative elementary volumes (REVs) across contrasting pore structures. The proposed numerical approach incorporates a hybrid formulation combining two-phase Darcy flow for macro-scale domains with Navier–Stokes and volume-of-fluid (VOF) interface tracking for micro-scale regions. This enables simulation of complex immiscible flows with explicit resolution of both macro- and microporous pathways. A dedicated mesh refinement strategy ensures computational efficiency while preserving geometric fidelity across porosity scales. We apply this framework to two carbonate samples: the Savonnieres carbonate and the Mount Gambier limestone. In the Savonnieres sample, REV convergence could not be achieved even at the largest available micro-CT volume (1000<sup>3</sup>&#xa0;voxels, ~ 3.8&#xa0;mm<sup>3</sup>) due to pronounced microstructural clustering. In contrast, the Mount Gambier limestone exhibited stable hydrodynamic and thermodynamic REV behaviour above 1200<sup>3</sup>&#xa0;voxels (~ 3.21&#xa0;mm<sup>3</sup>), closely matching experimental core-scale estimates. These findings reinforce the robustness of the proposed methodology and underscore its potential for broader application to microporous media with diverse heterogeneity profiles.</p>

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Multiscale Representative Elementary Volume Determination in Complex Porous Media: An Integrated Hydrodynamic and Thermodynamic Modelling Approach

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月25日

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  • Shaheryar T. Hussain,
  • Klaus Regenauer-Lieb,
  • Aleksandr Zhuravljov,
  • Sheikh S. Rahman

摘要

Understanding fluid transport in microporous media remains a complex challenge due to the intricate interplay of heterogeneity and scale-dependent behaviours. This study introduces a novel multiscale discretisation framework, specifically tailored for dual-porosity systems, and integrates it with an enhanced multiphase solver to determine representative elementary volumes (REVs) across contrasting pore structures. The proposed numerical approach incorporates a hybrid formulation combining two-phase Darcy flow for macro-scale domains with Navier–Stokes and volume-of-fluid (VOF) interface tracking for micro-scale regions. This enables simulation of complex immiscible flows with explicit resolution of both macro- and microporous pathways. A dedicated mesh refinement strategy ensures computational efficiency while preserving geometric fidelity across porosity scales. We apply this framework to two carbonate samples: the Savonnieres carbonate and the Mount Gambier limestone. In the Savonnieres sample, REV convergence could not be achieved even at the largest available micro-CT volume (10003 voxels, ~ 3.8 mm3) due to pronounced microstructural clustering. In contrast, the Mount Gambier limestone exhibited stable hydrodynamic and thermodynamic REV behaviour above 12003 voxels (~ 3.21 mm3), closely matching experimental core-scale estimates. These findings reinforce the robustness of the proposed methodology and underscore its potential for broader application to microporous media with diverse heterogeneity profiles.