Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell
A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast, c = ( μ 1 − μ 2 ) / ( μ 1 + μ 2 ) , in a model porous medium defined as a Hele-Shaw cell with random gap b 0 + δ b . Fluctuations of both capillary and viscous pressure are explicitl...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/12830 |
| Acesso em linha: | https://hdl.handle.net/2445/12830 |
| Access Level: | acceso abierto |
| Palavra-chave: | Dinàmica de fluids Física estadística Fluid dynamics Statistical physics |
| Resumo: | A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast, c = ( μ 1 − μ 2 ) / ( μ 1 + μ 2 ) , in a model porous medium defined as a Hele-Shaw cell with random gap b 0 + δ b . Fluctuations of both capillary and viscous pressure are explicitly related to the microscopic quenched disorder, yielding conserved, nonconserved, and power-law correlated noise terms. Two length scales are identified that control the possible scaling regimes and which scale with capillary number Ca as ℓ 1 ∼ b 0 ( c C a ) − 1 / 2 and ℓ 2 ∼ b 0 C a − 1 . Exponents for forced fluid invasion are obtained from numerical simulation and compared with recent experiments. |
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