Viscous fingering with partially miscible fluids

Fu, Xiaojing; Cueto-Felgueroso, Luis; Juanes, Ruben

doi:10.1103/physrevfluids.2.104001

Viscous fingering with partially miscible fluids

Journal Article · Mon Oct 09 00:00:00 EDT 2017 · Physical Review Fluids (Online)

DOI:https://doi.org/10.1103/physrevfluids.2.104001· OSTI ID:1505589

Fu, Xiaojing ^[1]; Cueto-Felgueroso, Luis ^[2]; Juanes, Ruben ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); none
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Technical University of Madrid (Spain)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Viscous fingering—the fluid-mechanical instability that takes place when a low-viscosity fluid displaces a high-viscosity fluid—has traditionally been studied under either fully miscible or fully immiscible fluid systems. In this work, we study the impact of partial miscibility (a common occurrence in practice) on the fingering dynamics. Through a careful design of the thermodynamic free energy of a binary mixture, we develop a phase-field model of fluid-fluid displacements in a Hele-Shaw cell for the general case in which the two fluids have limited (but nonzero) solubility into one another.We show, bymeans of high-resolution numerical simulations, that partial miscibility exerts a powerful control on the degree of fingering: fluid dissolution hinders fingering while fluid exsolution enhances fingering. Additionally, we show that, as a result of the interplay between compositional exchange and the hydrodynamic pattern-forming process, stronger fingering promotes the system to approach thermodynamic equilibrium more quickly.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FE0013999; SC0018357

OSTI ID:: 1505589

Alternate ID(s):: OSTI ID: 1398732

Journal Information:: Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 10 Vol. 2; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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