Fractal Analysis of Mercury Porosimetry Data in the Framework of the Thermodynamic Method

Magnetization Evolution in Network Models of Porous Rock under Conditions of Drainage and Imbibition

“…It is important to note that the rock-pore interface in real porous media is quite rough and often fractal (32)(33)(34). Accordingly, pore and throat sizes may be expected to span a broad range of length scales.…”

“…For 0 < η < 1, drainage of the wetting fluid within each pore at P c > P * c,i corresponds to filling with the nonwetting phase of a surface fractal with dimension 2 < D s < 3. This follows from consideration of a fractal distribution of length scales characterizing the geometry of the pore walls (34). For η > 1 the pore behaves as a rough, but not fractal, object.…”

Percolative drug diffusion from cylindrical matrix systems with unsealed boundaries

“…Disordered materials usually exhibit self‐similarity at least within some length scale region, usually in the sub µm range, and in this region the fractal dimension can be determined in various ways such as by, e.g., gas adsorption29–31 and small angle X‐ray scattering 32, 33. Many attempts have also been made to use mercury porosimetry to determine the fractal dimensions on larger length scales 34–38. The self‐similarity often pertains to the surface, and may be interpreted as a surface fractal that sometimes extends into the porous body or mass of the material under study.…”

The characteristics of fractal disperse systems

“…One should employ a specific procedure (see Ref. 258) for choosing those portions in the S(p) plot that correspond to the fractal structure. Correct choice of such portions allows the fractal dimensions of various objects (soot, aerogels) determined from mercury porosimetry data 258 to be in agreement with the values found using small-angle X-ray scattering and adsorption methods.…”