Some Contradictions in the Multi-Layer Hele-Shaw Flow

Authors

  • Gelu PASA Simion Stoilow Institute of Mathematics of Romanian Academy, Calea Grivitei 21, Bucuresti Sector 1, Romania

DOI:

https://doi.org/10.15377/2409-787X.2019.06.5

Keywords:

Hele-Shaw immiscible displacement, Porous media flow, Linear stability.

Abstract

 An important problem concerning the Hele-Shaw displacements is to minimize the Saffman - Taylor instability. To this end, some constant viscosity fluid layers can be introduced in an intermediate region ( ) between the displacing fluids. However, we prove that very small (positive) values of the growth rates can be obtained only for a very large (unrealistic) On the contrary, when the length is constrained by certain conditions (for instance, geological), then the maximum value of the growth constants can not fall below a certain value, not depending on the number of layers. This maximum value is not so small.

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Published

2019-05-12

How to Cite

1.
Gelu PASA. Some Contradictions in the Multi-Layer Hele-Shaw Flow. Int. J. Petrol. Technol. [Internet]. 2019May12 [cited 2021Sep.25];6(1):41-8. Available from: https://www.avantipublishers.com/jms/index.php/ijpt/article/view/826

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