期刊
AIP ADVANCES
卷 10, 期 7, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/5.0018914
关键词
-
资金
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- ENSIACET (France)
Linear stability analysis and nonlinear simulations have been carried out to analyze the Rayleigh-Taylor instability in homogeneous porous media under time-dependent flow displacements. The flow processes consist of a sinusoidal time-dependent velocity characterized by its period (T) and amplitude (Gamma) and ensure that the same amount of fluid is injected over a full flow period. A new, more efficient approach to determine instability characteristics has been developed for the stability analysis of these time-dependent injection flows and showed a growth rate that varies in time like the displacement velocity. The effects of the period T and amplitude Gamma as well as the fluids' viscosity (R) and density differences (Delta G) have been analyzed. Consistent with constant injection displacements, a larger Delta G leads to stronger instabilities. Furthermore, it is found that a larger R tends to attenuate the instability during extraction and soaking periods and to enhance it during injection. This study also revealed that for a given total injection time, the time-dependent flow can be less or more unstable than its constant injection counterpart. In particular, for Gamma < -1, larger periods lead to stronger instabilities with longer more developed fingers. For Gamma > 1, on the other hand, it is found that larger periods tend to attenuate the instability resulting in a smaller number of fingers and a more diffused front. Flows with unit amplitude (Gamma = 1) exhibit the same qualitative trends as but are overall more unstable than their counterparts with Gamma > 1.
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