Transitional non-Darcy displacement of immiscible fluids due to inertial effect

Dong Hun Kang, Tae Sup Yun

Research output: Contribution to journalArticle

Abstract

This study describes immiscible fluid displacement near a transitional boundary at which inertial effect occurs. We simulated two-phase fluid flow in a 2D micromodel using the lattice Boltzmann method with varying Reynolds numbers (Re) (log Re = −2 to 2) and viscosity ratios (M) (log M = −2 to 0). To highlight the role of inertial force rather than capillary and viscous forces, the capillary number (Ca) was kept constant at log Ca = −5. As Re and M increased, development in the preferential flow became more pronounced with tortuous paths. We found the transitional boundary exists near log Re = −1 to 1 at which residual saturation of the displaced fluid starts to fluctuate and changes 5%–14% in the transitional regime. In particular, this boundary describes the effect of inertia on immiscible fluid displacement before an increase in the work done due to inertial force occurs.

Original languageEnglish
Article number123934
JournalJournal of Hydrology
Volume577
DOIs
Publication statusPublished - 2019 Oct

Fingerprint

immiscible fluid
preferential flow
two phase flow
inertia
Reynolds number
fluid flow
viscosity
saturation
fluid
effect

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

Cite this

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title = "Transitional non-Darcy displacement of immiscible fluids due to inertial effect",
abstract = "This study describes immiscible fluid displacement near a transitional boundary at which inertial effect occurs. We simulated two-phase fluid flow in a 2D micromodel using the lattice Boltzmann method with varying Reynolds numbers (Re) (log Re = −2 to 2) and viscosity ratios (M) (log M = −2 to 0). To highlight the role of inertial force rather than capillary and viscous forces, the capillary number (Ca) was kept constant at log Ca = −5. As Re and M increased, development in the preferential flow became more pronounced with tortuous paths. We found the transitional boundary exists near log Re = −1 to 1 at which residual saturation of the displaced fluid starts to fluctuate and changes 5{\%}–14{\%} in the transitional regime. In particular, this boundary describes the effect of inertia on immiscible fluid displacement before an increase in the work done due to inertial force occurs.",
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Transitional non-Darcy displacement of immiscible fluids due to inertial effect. / Kang, Dong Hun; Yun, Tae Sup.

In: Journal of Hydrology, Vol. 577, 123934, 10.2019.

Research output: Contribution to journalArticle

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AB - This study describes immiscible fluid displacement near a transitional boundary at which inertial effect occurs. We simulated two-phase fluid flow in a 2D micromodel using the lattice Boltzmann method with varying Reynolds numbers (Re) (log Re = −2 to 2) and viscosity ratios (M) (log M = −2 to 0). To highlight the role of inertial force rather than capillary and viscous forces, the capillary number (Ca) was kept constant at log Ca = −5. As Re and M increased, development in the preferential flow became more pronounced with tortuous paths. We found the transitional boundary exists near log Re = −1 to 1 at which residual saturation of the displaced fluid starts to fluctuate and changes 5%–14% in the transitional regime. In particular, this boundary describes the effect of inertia on immiscible fluid displacement before an increase in the work done due to inertial force occurs.

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