Crynodeb
During improved oil recovery (IOR), gas may be introduced into a porous reservoir filled with surfactant solution in order to form foam. A model for the evolution of the resulting foam front known as ` pressuredriven growth'is analysed. An asymptotic solution of this model for long times is derived that shows that foam can propagate indefinitely into the reservoir without gravity override. Moreover, `pressuredriven growth' is shown to correspond to a special case of the more general `viscous froth' model. In particular, it is a singular limit of the viscous froth, corresponding to the elimination of a surface tension term, permitting sharp corners and kinks in the predicted shape of the front. Sharp corners tend to develop from concave regions of the front. The principal solution of interest has a convex front, however, so that although this solution itself has no sharp corners (except for some kinks that develop spuriously owing to errors in a numerical scheme), it is found nevertheless to exhibit milder singularities in front curvature, as the longtime asymptotic analytical solution makes clear. Numerical schemes for the evolving front shape which perform robustly (avoiding the development of spurious kinks) are also developed. Generalisations of this solution to geologically heterogeneous reservoirs should exhibit concavities and/or sharp corner singularities as an inherent part of their evolution: propagation of fronts containing such `inherent'singularities can be readily incorporated into these numerical schemes.
Iaith wreiddiol  Saesneg 

Tudalennau (oi)  346405 
Nifer y tudalennau  60 
Cyfnodolyn  Journal of Fluid Mechanics 
Cyfrol  751 
Dyddiad arlein cynnar  20 Meh 2014 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  30 Gorff 2014 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Analysis of a model for foam improved oil recovery'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau

Simon Cox
 Cyfadran Busnes a’r Gwyddorau Ffisegol, Mathemateg  Professor, Head of Department (Maths)
Unigolyn: Dysgu ac Ymchwil

Gennady Mishuris
 Cyfadran Busnes a’r Gwyddorau Ffisegol, Mathemateg  Professor of Mathematical Modelling, Royal Society Wolfson Research Merit Award Holder
Unigolyn: Dysgu ac Ymchwil, Arall