Ke. Thompson et Hs. Fogler, PORE-SCALE MODEL FOR FLUID INJECTION AND IN-SITU GELATION IN POROUS-MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(5), 1998, pp. 5825-5832
We examine immiscible fluid displacement in a porous material for the
case where a polymerization reaction occurs at the interface between t
wo fluid phases. A three-dimensional sphere-based network model is use
d to study the process. An in situ reaction may affect the pore morpho
logy, interfacial forces, or viscous forces, thereby altering the pres
sure distribution and displacement pattern. The amount and manner in w
hich the displacement pattern is affected depends on competing rates o
f reaction versus convection. The model shows that at high-capillary-n
umber displacements, a narrow range of reaction rates affects the disp
lacement process, below which no effect is seen and above which the fl
ow stops. As the capillary number decreases, this range widens but at
the expense of the overall hydraulic conductivity. This phenomenon is
explained using microscopic displacement patterns. An operating window
can be drawn showing the how and reaction domain in which one would e
xpect an interfacial reaction of this type to affect fluid displacemen
t.