A Theory of the Optimal Policy of Oil Recovery by Secondary Displacement Processes

Gorell, Sheldon; Homsy, G. M.

doi:10.1137/0143007

Cited by 114 publications

(156 citation statements)

References 4 publications

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“…is of exponential type (with respect to the horizontal variable x), in agreement with the numerical results of [3].…”

Section: Introductionsupporting

confidence: 79%

“…Some numerical results concerning a are given in [6]; but the largest value of a is obtained for k -> <*>, in discordance with the results of [3].…”

Section: Introductionmentioning

confidence: 72%

“…The numerical results of [3] give us the maximal value of a for the wave numbers k in a finite région. The "optimal" viscosity ju, obtained numerically, has an exponential form.…”

Section: Introductionmentioning

confidence: 99%

“…Gorell and Homsy [3], 1983, consider an intermediate région (ï.r. ), between water and oil, of length l, containing a given quantity of polymer mixed with water.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An optimal viscosity profile in the secondary oil recovery

Carasso¹,

Paşa²

1998

ESAIM: M2AN

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“…is of exponential type (with respect to the horizontal variable x), in agreement with the numerical results of [3].…”

Section: Introductionsupporting

confidence: 79%

“…Some numerical results concerning a are given in [6]; but the largest value of a is obtained for k -> <*>, in discordance with the results of [3].…”

Section: Introductionmentioning

confidence: 72%

“…The numerical results of [3] give us the maximal value of a for the wave numbers k in a finite région. The "optimal" viscosity ju, obtained numerically, has an exponential form.…”

Section: Introductionmentioning

confidence: 99%

“…Gorell and Homsy [3], 1983, consider an intermediate région (ï.r. ), between water and oil, of length l, containing a given quantity of polymer mixed with water.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An optimal viscosity profile in the secondary oil recovery

Carasso¹,

Paşa²

1998

ESAIM: M2AN

View full text Add to dashboard Cite

“…Such unstable interfaces are important in applications, significantly for sugar refining, oil recovery, hydrology and carbon sequestration [2][3][4][5][6] and much recent work has focused on how to control the instabilities [7][8][9][10] . Viscous fingering plays a central role in our understanding of pattern formation in part because it is amenable to both theory and experiment 1,6,[11][12][13][14] .…”

mentioning

confidence: 99%

Fingering versus stability in the limit of zero interfacial tension

2014

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The invasion of one fluid into another of higher viscosity in a quasi-two dimensional geometry typically produces complex fingering patterns. Because interfacial tension suppresses short-wavelength fluctuations, its elimination by using pairs of miscible fluids would suggest an instability producing highly ramified singular structures. Previous studies focused on wavelength selection at the instability onset and overlooked the striking features appearing more globally. Here we investigate the non-linear growth that occurs after the instability has been fully established. We find a rich variety of patterns that are characterized by the viscosity ratio between the inner and the outer fluid, Z in /Z out , as distinct from the mostunstable wavelength, which determines the onset of the instability. As Z in /Z out increases, a regime dominated by long highly-branched fractal fingers gives way to one dominated by blunt stable structures characteristic of proportionate growth. Simultaneously, a central region of complete outer-fluid displacement grows until it encompasses the entire pattern at Z in /Z out E0.3.

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Surface Charge Affecting Fluid–Fluid Displacement at Pore Scale

Kalde

Lippold

Loelsberg

et al. 2022

Adv Materials Inter

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Efficiency in fluid–fluid displacement is drastically reduced by viscous fingering, limiting the overall effectiveness in enhanced oil recovery, membrane science, and lateral flow devices used in biomedical applications. Local instabilities at the fluid–fluid interface lead to finger‐like patterns when a less viscous fluid displaces an immiscible fluid of higher viscosity. This widely observed phenomenon in multiphase flow inside porous media is infamously intricate to control, especially for given geometry and viscosity ratio. The presented study uses a highly controlled microfluidic porous network structure with tailored ionic surface strength. The direct correlation of viscous fingering evolution on the porous structure's zeta potential at a pore‐scale level is demonstrated via polyelectrolyte coatings using a layer‐by‐layer technique. Displacement patterns are tuned from vigorous viscous fingering over stable displacement to corner flow events across a broad range of capillary numbers depending on the applied coatings. The experimental data show an increasing trend of oil recovery with increasing surface wettability, consistent with several previous findings. Furthermore, the results reveal that surface zeta potential correlates positively with recovery rate but negatively with the displacement stability quantified by the fractal dimension. These insights enable a more targeted porous media design to obtain optimal multiphase flow control.

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A Theory of the Optimal Policy of Oil Recovery by Secondary Displacement Processes

Cited by 114 publications

References 4 publications

An optimal viscosity profile in the secondary oil recovery

An optimal viscosity profile in the secondary oil recovery

Fingering versus stability in the limit of zero interfacial tension

Surface Charge Affecting Fluid–Fluid Displacement at Pore Scale

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