New bounds for stabilizing Hele-Shaw flows Academic Article

abstract

• We consider the problem of displacement processes in a three-layer fluid in a Hele-Shaw cell modeling enhanced processes of oil recovery by polymer flooding. The middle layer sandwiched between water and oil contains polymer-thickened water. We provide lower bounds on the length of the intermediate layer and on the amount of polymer in the middle layer for stabilizing the leading front to a specified level. We also provide an upper bound on the growth rate of instabilities for a given viscous profile of the middle layer. 2005 Elsevier Ltd. All rights reserved.

authors

• Daripa, Prabir

published proceedings

• APPLIED MATHEMATICS LETTERS

author list (cited authors)

• Daripa, P., & Pasa, G.

citation count

• 18

complete list of authors

• Daripa, Prabir||Paşa, G

publication date

• November 2005

publisher

• Elsevier  Publisher

published in

• Applied Mathematics Letters  Journal

keywords

• Dispersion Relation
• Hele-shaw Flows
• Saffman-taylor Instability
• Sturm-liouville Problem
• Tertiary Displacement Processes

Digital Object Identifier (DOI)

• 10.1016/j.aml.2005.02.027

start page

• 1293

end page

• 1303

volume

• 18

issue

• 11

URL

• http://dx.doi.org/10.1016/j.aml.2005.02.027