Division of adsorption isotherms
is a key step in calculating the
fractal dimension of clay minerals based on the Frenkel–Halsey–Hill
(FHH) model, which has a great effect on the accuracy of the results.
In this study, three pure clay minerals (montmorillonite, illite,
and kaolinite) and clay mixtures prepared according to different mass
ratios of pure clay minerals were taken as systems. Pore structures
of these clay mineral samples were investigated by low-temperature
N2 adsorption and CO2 adsorption, and the relationships
between the pore structure parameters and the mass ratio of the clay
minerals were studied. Three division methods were applied, that is,
adsorption isotherms divided by the starting point of the hysteresis
loop (method I), by the extreme point of the first derivative of adsorption
isotherms (method II), and by linearity regions according to FHH linear
fitting data (method III), to divide the N2 and CO2 adsorption isotherms into one or two regions. Fractal dimension
values were calculated from different isotherm regions using the FHH
model. The linear degree of fractal dimension values and the specific
surface area were taken as criteria to judge the rationality of fractal
dimensions. The results show that the specific surface area and the
micropore volume of clay mixtures with less illite can be predicted
based on the mass ratio and pore parameters of pure clay minerals.
Fractal dimension values calculated from the low relative pressure
stage of N2 adsorption isotherms using method III could
give accurate fractal dimension values. As for the CO2 adsorption
isotherm, although fractal dimension values obtained from its high
relative pressure stage using method III show a good linear relationship
with the specific surface area, the fractal dimension values are not
between 2 and 3.