Jm. Boffa et al., EXPERIMENTAL-ANALYSIS OF FRACTURE RUGOSITY IN GRANULAR AND COMPACT ROCKS, EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS, 2(3), 1998, pp. 281-289
We compare high resolution roughness measurements on fractured granite
, basalt and sandstone samples. For granite and basalt, the fractures
display over the full experimental length scale range a self-affine ge
ometry with a characteristic Hurst exponent consistent with the value
0.8 suggested to be universal by several authors. For sandstone, the r
ugosity spectrum remains independent on the fracturation velocity but
displays self-affine characteristics only for characteristic length sc
ales roughly larger than the grain size: furthermore, the correspondin
g Hurst exponent takes a value 0.47 +/- 0.05 distinctly smaller than t
he previous one. At characteristic length scales below the grain size,
a clear cutoff is observed in the spectrum. This cut-off is shown thr
ough numerical simulations to be largely explainable by the faceted sh
ape of the sand grains and to a minor degree by the finite size of the
profilometer sensor tip. None of these factors seems to influence the
low frequency part of the spectrum front which Hurst's exponent is de
termined. The differences between the values of Hurst's exponent may r
eflect the intergranular nature of fracture in the sandstone samples w
hile no effect of structural heterogeneities on fracture propagation i
s observed in granite.