BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Analysis of a Model for Foam Improved Oil Recovery - Grassia\, P (
 University of Manchester)
DTSTART:20140224T114500Z
DTEND:20140224T120500Z
UID:TALK51040@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Elizabeth Mas Hernandez (University of Manchester)
 \, Nima Shokri (University of Manchester)\, Simon Cox (Aberystwyth Univers
 ity)\, Gennady Mishuris (Aberystwyth University)\, William Rossen (Delft U
 niversity of Technology) \n\nA model (originally developed by Shan and Ros
 sen (2004) and de Velde Harsenhorst et al. (2013)) is considered that desc
 ribes foam motion into a porous reservoir filled with surfactant solution.
  The model for evolution of the foam front that results is called `pressur
 e-driven growth'\, and it describes processes that occur during improved o
 il recovery (IOR) using foam. The mathematical structure of the model is f
 ound to correspond to a special case of a more general situation called th
 e `viscous froth model' (Glazier and Weaire 1992\, Weaire and McMurry 1996
 ). However `pressure-driven growth' turns out to be a singular limit of th
 e viscous froth system\, owing to the fact that a surface tension term has
  been discarded. This permits (in principle) sharp corners and kinks in th
 e shape of the foam front. Sharp corners however tend to develop from conc
 ave regions of the front shape\, whereas the main solution of interest her
 e has a convex front. Whilst the solution of interest appears to have no s
 harp corners (except for some kinks that might develop spuriously owing e.
 g. to errors arising in a numerical scheme)\, it does nevertheless exhibit
  milder singularities in front curvature: a long-time asymptotic analytica
 l solution for the shape of the front makes this point clear. Numerical sc
 hemes which perform robustly (avoiding the development of any spurious kin
 ks in the above mentioned solution) are considered. Moreover some simple g
 eneralizations of this solution\, all of engineering relevance\, can exhib
 it concavities and/or sharp corner singularities as an inherent part of th
 eir evolution: propagation of such `inherent' singularities can be readily
  incorporated into numerical schemes.\n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR