Abstract
In the present work, a numerical simulation has been performed on the immiscible liquid–liquid displacement flow in two- dimensional rectilinear Hele-Shaw cell (HSC) by using ANSYS FLUENT commercial software. The volume of fluid (VOF) model has been used to track the interface of immiscible liquids in the displacement flow process. A finger shape instability records at the oil–water interface when a large viscous liquid oil is displaced by lower viscous liquid water from the oil-saturated Hele-Shaw cell. This finger shape interfacial instability is called viscous fingering. The viscosity ratio (ratio of the viscosity of displacing and displaced liquids) of two-phase flow is less than unity then unstable displacement occurs and results in finger shape instability appears at the interface. The numerical simulation of two-phase flow has been performed by using the pressure base solver and transient model. The present work aims to capture the propagation of a finger shape instability at the oil–water interface and calculate the sweep efficiency by image processing. We observed that water displaces approximately 72.42% of oil from the entire oil-saturated HSC and sweep efficiency gradually increases with time in the displacement process.
Published Version
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