Based on the NMR T
2 spectra of all
of the samples, the applicability of the single fractal model and
the multifractal model for the quantitative investigation of pore
diameter distribution heterogeneity is analyzed. Then, the relationships
between pore structures, physical properties, and fractal dimensions
calculated by each model are discussed. The following results have
been achieved. (1) Model 1 can be used to study the heterogeneity
of different fluid states (including saturation and bound water) or
partial pore size distribution, and the calculated fractal dimension
has the best correlation with permeability. This model is mainly suitable
for type I samples with macropores developed. (2) Models 2, 3, and
4 can quantitatively analyze the heterogeneity of the overall pore
diameter distribution. These calculated fractal dimensions have a
good linear relationship with porosity, T
2cutoff, T
2gm, and other physical parameters,
which are mainly suitable for type II, III, and IV samples with micropores
developed. (3) There is a negative correlation between multifractal
dimensions calculated by model 4 and single fractal parameters calculated
by models 2 and 3. Micropores and macropores are the key pore sizes
that affect the variation of single fractal parameters, while mesopores
are the key size affecting the variation of multifractal parameters.
(4) The selection of a reasonable T
2 spectrum
range has become a key to determine the calculation accuracy of models
2 and 3. Above all, models 1 and 4 should be given priority in characterizing
pore distribution heterogeneity of tight sandstone gas reservoirs.