The secondary Oil recovery process is related with the Hele-Shaw
immiscible displacement. A middle-layer (M.L.) is considered
between the displacing fluid (water) and oil, containing a polymer
solute, where the viscosity is an unknown parameter. We minimize
the Saffman-Taylor instability, searching for the optimal viscosity
in M.L. which gives a minimal growth constant of perturbations. We
solve this optimization problem by using the methods of functional
and numerical analysis for the Sturm-Liouville problems which
govern the flow stability in such three-layer Hele-Shaw cells.The
obtained formulas for the optimal viscosities are giving an almost
neutral stability and are in accord with previous experimental and
numerical results. We study the variable permeability and diffusion
effects. We compute the necessary polymer amount and M.L. length
for a given minimization of the fingering phenomenon. Some
surfactant effects on rising gas-bubbles in capillary tubes are
also studied.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
March 2012 |
First published: |
March 2012 |
Authors: |
Gelu Pasa
|
Dimensions: |
229 x 152 x 3mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
56 |
ISBN-13: |
978-3-8484-3721-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-8484-3721-X |
Barcode: |
9783848437214 |
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