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March 26, 2026Physics of Fluids

Diagnostic criteria for the Darcy–non-Darcy flow transition in porous media: Insights from pore-scale simulations

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Authors

HCHong ChengYWYaohui WangZPZhaohui Peng

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Overview

Examines flow transitions in porous media using pore-scale simulations, indicating nonlinear effects may arise earlier than expected.

Key Points

  • The aim is to clarify the transition from Darcy to non-Darcy flow in porous media using pore-scale simulations.
  • Conducted two-dimensional pore-scale simulations solving the Navier–Stokes equations.
  • Analyzed the transition at low Reynolds numbers using dimensionless circulation number IΩ.
  • Examined the relationship between circulation number IΩ and Reynolds number for flow-regime transitions.
  • Nonlinear flow behavior can begin earlier than expected before the appearance of visible eddies.
  • Identified three flow regimes based on the IΩ–Re relationship: viscosity-dominated, viscous–inertial transition, and inertia-dominated.
  • Demonstrated that the transition between Darcy and non-Darcy flow is continuous rather than a single critical point.

Cite This Study

Cheng et al. (2026) studied this question.

synapsesocial.com/papers/69c4cd25fdc3bde448919087https://doi.org/10.1063/5.0324770
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