Experiment at 0.8g
Simulation at 0.7g
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The top picture shows an experiment where air (black)
is injected from above into a two dimensional porous medium. The bottom
picture shows a corresponding simulation using a network model. Air which
is considered as a light nonwetting fluid, displaces a more heavier wetting
fluid (gray) at high injection rate. The wetting fluid which is a glycerol-water
mixture, flows out along the bottom edge. When the displacement is horizontal
air creates a few fingers that penetrate the wetting fluid from the top
to the bottom edge (viscous fingering). When the porous medium is
tilted out of the horizontal plane gravity acts as a stabilizing force
and many small fingers propagate into the system. Because of buoyancy forces
air will now most easily displace the wetting fluid closest to the top
edge. This will eventually stabilize the width of the front. We want to
study the behavior of the front going from 0 to 1g where g is the
acceleration due to gravity. Both experiments and simulations will be performed.
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