P. Berest et al., Experimental and numerical tools for miscible fluid displacements studies in porous media with large heterogeneities (vol 6, pg 309, 1999), EPJ-APPL PH, 7(3), 1999, pp. 277-289
We present a set of complementary experimental and numerical tools for stud
ying miscible fluid displacements in porous media with large scale heteroge
neities. Experiments are realized in transparent 2D Hele-Shaw cells allowin
g optical observations and in 3D packings of glass beads with an acoustical
technique for imaging fluid displacements. Permeability heterogeneities ar
e modeled by spatial variations of either the local aperture of the Hele-Sh
aw cell or the diameter of the grains used in the packing. The Hele-Shaw ce
ll model provides high resolution maps of the invasion front location at re
gular time intervals and of the flow lines: the velocity field is determine
d by combining these informations. Acoustical images of relative concentrat
ion distributions in the 3D packing are in agreement with Hele-Shaw cell da
ta and can be obtained in a broader range of experimental situations. Such
experiments realized with a stabilizing density contrast between invading a
nd displaced fluids demonstrate a strong reduction of the front width at, l
ow flow velocities, a similar reduction is obtained at high velocities with
a stabilizing viscosity contrast. The technique is also applicable to stud
y fluid displacements in natural opaque media. Numerical simulations by a B
oltzmann lattice technique using a Stokes-like diffusive term to smooth out
the effect of permeability discontinuities provide complementary informati
ons. They are shown to give similar results as experiments for same flow pa
rameter values and to allow for a fast exploration of a broad range of flui
d properties and flow situations.