Oi. Frette et al., IMMISCIBLE DISPLACEMENT OF VISCOSITY-MATCHED FLUIDS IN 2-DIMENSIONAL POROUS-MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 2969-2975
The effect of stabilization has been investigated experimentally when
a nonwetting fluid is displacing a wetting fluid with the same viscosi
ty in a two-dimensional porous medium. Experiments were done at differ
ent injection rates, with capillary numbers ranging from 10(-7) to 10(
-4). The features of the front between the liquids were analyzed and f
ound similar to those observed from invasion percolation models includ
ing a spatial gradient in the average pore threshold value, and gravit
ationally stabilized experiments. Front and structure of the trapped c
lusters of the invaded fluid at different capillary numbers are self-s
imilar with the fractal dimensions D-b = 1.33 and D-b(m)=1.85, respect
ively. The dependence of the front width w(s) on the capillary C-a was
found to be consistent with a power law w(s) similar to C-a(-alpha),
with alpha=0.6. The dynamic exponent beta(d) approximate to 0.8 descri
bing front width evolution as a function of time was determined by col
lapsing the density-density correlation function data. An analytical a
rgument is presented to support the stabilization of the front owing t
o the viscous effects.