Capillary Rise and Oil Recovery under Primary Bjerknes Force Experienced by Bubbles

Abstract

A numerical study of forced imbibition into capillary tubes under primary Bjerknes force is presented. A mathematical model is developed to predict the motion of a meniscus while an external force is applied. Remarkable enhancement in liquid flow attributed to the frequency and intensity of a waveform on primary Bjerknes force and to the viscosity of fluid was observed. It was found that imbibition optimal frequency for each equilibrium height depends on the time as ω(xeq)∼emt, where the recovery time is a viscosity function t(xeq)∼μH. The results are presented in a set of curves, which reveal the features of enhanced oil recovery of the system under consideration. Some physical implications are discussed.