Ma. Knackstedt et al., Simulation of mercury porosimetry on correlated grids: Evidence for extended correlated heterogeneity at the pore scale in rocks, PHYS REV E, 58(6), 1998, pp. R6923-R6926
A modification of invasion percolation is used to simulate rate-controlled
mercury injection experiments on porous media displaying both uncorrelated
and correlated disorder. The correlations are generated by a fractional Bro
wnian motion with a cutoff. The introduction of correlated heterogeneity ha
s a marked effect on the behavior of the capillary pressure curve and accou
nts quantitatively for the features of the experimental curves for sediment
ary rock samples. This result suggests that correlated heterogeneity, which
is common in porous rock at reservoir scales, persists down to the pore sc
ale. II casts doubt on the use of network models with uncorrelated disorder
and classical percolation concepts to model flow behavior at the pore scal
e in sedimentary rocks. [S1063-651X(98)50112-2].