Universal Stability Properties for Multilayer Hele-Shaw Flows and Application to Instability Control

@article{Daripa2012UniversalSP,
  title={Universal Stability Properties for Multilayer Hele-Shaw Flows and Application to Instability Control},
  author={Prabir Daripa and Xueru Ding},
  journal={SIAM Journal of Applied Mathematics},
  year={2012},
  volume={72},
  pages={1667-1685}
}
With the motivation of understanding the effect of various injection policies currently in practice for chemical enhanced oil recovery, we study linear stability of displacement processes in a Hele-Shaw cell involving injection of an arbitrary number of fluid phases in succession. This work mainly builds upon our earlier study of the three-layer case [P. Daripa, Phys. Fluids, 20 (2008), 112101]. Stability results obtained for an arbitrary number of displacing fluids in succession reduce to the… CONTINUE READING
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