Transport in Porous Media

, Volume 96, Issue 2, pp 353–367 | Cite as

Selection Principle of Optimal Profiles for Immiscible Multi-Fluid Hele-Shaw Flows and Stabilization

  • Prabir DaripaEmail author
  • Xueru Ding


In this paper, we discuss a previously unknown selection principle of optimal viscous configurations for immiscible multi-fluid Hele-Shaw flows that have emerged from numerical experiments on three- and four-layer flows. Moreover, numerical investigation on four-layer flows shows evidence of four-layer systems which are almost completely stabilizing. Simple physical mechanisms that explain both of these findings are discussed.


Multi-layer Hele-Shaw flow Porous media flow Enhanced oil recovery Linear stability Optimal viscous profile 


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Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  1. 1.Department of MathematicsTexas A&M UniversityCollege StationUSA
  2. 2.Department of Petroleum EngineeringTexas A&M University at QatarDohaQatar

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