H. Auradou et al., Experimental study of miscible displacement fronts in rough self-affine fractures - art. no. 066306, PHYS REV E, 6306(6), 2001, pp. 6306
Miscible fluid displacements are studied experimentally in a radial how bet
ween two complementary replica of a self-affine rough granite fracture surf
ace. The displacement front between a dyed fluid and a transparent (but oth
erwise identical) one is followed optically through one face of the cell. T
he evolution of its geometry is studied as a function of time. flow-rate. a
nd normal and lateral relative displacements between the two surfaces. For
a purely normal displacement, the front is globally smooth, due to the cons
tant local distance between surfaces. For a finite lateral displacement, th
e front is rough due to spatial variations of this distance; its geometry i
s fractal and its dimension is directly related to the Hurst exponent H app
roximate to0.8 of the surface, The fractal regime is observed only above a
lower cut-off scale that depends on the normal spacing of the surfaces and
an upper one that increases with the injected volume and with the amplitude
of the lateral displacement.