Rheology of High-Capillary Number Two-Phase Flow in Porous Media
Flow of immiscible fluids in porous media at high capillary numbers may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well-described by the Lichtenecker-Rother equation. Depending on the pore geometry, wettability, and viscosity of the fluids, the exponen...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2019-05-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2019.00065/full |
| _version_ | 1818519493169643520 |
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| author | Santanu Sinha Santanu Sinha Magnus Aa. Gjennestad Morten Vassvik Mathias Winkler Alex Hansen Alex Hansen Eirik G. Flekkøy |
| author_facet | Santanu Sinha Santanu Sinha Magnus Aa. Gjennestad Morten Vassvik Mathias Winkler Alex Hansen Alex Hansen Eirik G. Flekkøy |
| author_sort | Santanu Sinha |
| collection | DOAJ |
| description | Flow of immiscible fluids in porous media at high capillary numbers may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well-described by the Lichtenecker-Rother equation. Depending on the pore geometry, wettability, and viscosity of the fluids, the exponent α in this equation can have different values. We find α = 1 when fluids are well-mixed with small bubbles, α = 0.6 in two- and 0.5 in three-dimensional systems when there is less mixing with the appearance of big bubbles, and α = −0.5 when lubrication layers are formed along the pore walls. Our arguments are based on analytical and numerical methods. |
| first_indexed | 2024-12-11T01:24:55Z |
| format | Article |
| id | doaj.art-8988e8ab7be449a6b991f43bf5f870c5 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-11T01:24:55Z |
| publishDate | 2019-05-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-8988e8ab7be449a6b991f43bf5f870c52022-12-22T01:25:35ZengFrontiers Media S.A.Frontiers in Physics2296-424X2019-05-01710.3389/fphy.2019.00065447636Rheology of High-Capillary Number Two-Phase Flow in Porous MediaSantanu Sinha0Santanu Sinha1Magnus Aa. Gjennestad2Morten Vassvik3Mathias Winkler4Alex Hansen5Alex Hansen6Eirik G. Flekkøy7Beijing Computational Science Research Center, Beijing, ChinaPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayBeijing Computational Science Research Center, Beijing, ChinaPoreLab, Department of Physics, University of Oslo, Oslo, NorwayFlow of immiscible fluids in porous media at high capillary numbers may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well-described by the Lichtenecker-Rother equation. Depending on the pore geometry, wettability, and viscosity of the fluids, the exponent α in this equation can have different values. We find α = 1 when fluids are well-mixed with small bubbles, α = 0.6 in two- and 0.5 in three-dimensional systems when there is less mixing with the appearance of big bubbles, and α = −0.5 when lubrication layers are formed along the pore walls. Our arguments are based on analytical and numerical methods.https://www.frontiersin.org/article/10.3389/fphy.2019.00065/fullporous mediatwo-phase floweffective viscositypore-network modelinglattice-boltzman method (LBM) |
| spellingShingle | Santanu Sinha Santanu Sinha Magnus Aa. Gjennestad Morten Vassvik Mathias Winkler Alex Hansen Alex Hansen Eirik G. Flekkøy Rheology of High-Capillary Number Two-Phase Flow in Porous Media Frontiers in Physics porous media two-phase flow effective viscosity pore-network modeling lattice-boltzman method (LBM) |
| title | Rheology of High-Capillary Number Two-Phase Flow in Porous Media |
| title_full | Rheology of High-Capillary Number Two-Phase Flow in Porous Media |
| title_fullStr | Rheology of High-Capillary Number Two-Phase Flow in Porous Media |
| title_full_unstemmed | Rheology of High-Capillary Number Two-Phase Flow in Porous Media |
| title_short | Rheology of High-Capillary Number Two-Phase Flow in Porous Media |
| title_sort | rheology of high capillary number two phase flow in porous media |
| topic | porous media two-phase flow effective viscosity pore-network modeling lattice-boltzman method (LBM) |
| url | https://www.frontiersin.org/article/10.3389/fphy.2019.00065/full |
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