2008
DOI: 10.1007/s11242-008-9211-2
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On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media

Abstract: Hydrodynamic instability in immiscible porous media flows in the presence of capillarity is investigated here. The analysis and arguments presented here show that the slowdown of instabilities due to capillarity is usually very rapid which makes the flow almost, but not entirely, stable. The profiles of the stable and unstable waves in the far-field are characterized using a novel but very simple approach.

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Cited by 17 publications
(17 citation statements)
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“…As discussed in Yortsos and Hickernell (1989), Daripa and Pasa (2008) and Babchin et al (2008), capillarity stabilizes only perturbations on short length scales. On larger length scales that are relevant for the field, the displacement could actually still be unstable.…”
Section: Introductionmentioning
confidence: 89%
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“…As discussed in Yortsos and Hickernell (1989), Daripa and Pasa (2008) and Babchin et al (2008), capillarity stabilizes only perturbations on short length scales. On larger length scales that are relevant for the field, the displacement could actually still be unstable.…”
Section: Introductionmentioning
confidence: 89%
“…While in a Hele-Shaw cell, at any given location, either one or the other liquid phase is present but phases do not co-exist, in the continuum description of multiphase flow in a porous medium the two phases co-exist at the same location in space (Yortsos and Hickernell, 1989;Daripa and Pasa, 2008) which is parameterized via the saturation of the wetting phase S w . As a consequence, in two-phase flow in porous media, capillarity manifests not only an effective interfacial tension between microscopic fluid-fluid interfaces, but p c / = 0 also causes a dispersion of the Buckley-Leverett shock front ("capillary dispersion", Jerauld et al, 1984) as sketched in Fig.…”
Section: Influence Of Capillarity On the Stabilitymentioning
confidence: 99%
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“…These two dimensionless numbers govern three dominant regions with distinct displacement patterns and efficiencies ( Figure 1): capillary fingering, viscous fingering, and stable displacement [54][55][56]. [52,53].…”
Section: Multiphase Fluids Flow In Porous Mediamentioning
confidence: 99%
“…To reduce soil contamination, several soil remediation techniques that include excavation, soil vapour extraction, bioremediation, surfactant-enhanced remediation, and steam injection have been developed [26][27][28][29][30]. Soil excavation benefits from technical efficiency but is costly and limited for landfill sites [27].…”
Section: Biopolymer In Soil Remediation and Enhanced Oil Recoverymentioning
confidence: 99%