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March 1, 2024Transport in Porous MediaOpen Access

The Transition from Darcy to Nonlinear Flow in Heterogeneous Porous Media: I—Single-Phase Flow

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Authors

SASepehr ArbabiMSMuhammad Sahimi

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Overview

Simulation demonstrates that fluid vorticity emergence marks the Darcy breakdown in porous sandstone, revealing a cubic velocity resistance relation.

Key Points

  • Vorticity emergence marks the breakdown of darcys law as fluid moves into a nonlinear inertial regime across porous sandstone slices.
  • At low reynolds number, vorticity magnitude remains near zero before rising steeply once linear flow conditions fail across pore structures.
  • Extensive numerical simulation of the navier stokes equations across varying porosity levels reveals cubic velocity scaling for pressure drop.

Cite This Study

Arbabi et al. (2024) studied this question.

synapsesocial.com/papers/68e761d0b6db6435876d800ehttps://doi.org/10.1007/s11242-024-02070-3
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Also Consider

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  1. 1The role of eddies inside pores in the transition from Darcy to Forchheimer flows2011 · 93 citations
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  3. 3Transition of effective hydraulic properties from low to high Reynolds number flow in porous media2014 · 70 citations