Predicting permeability accurately is crucial for effective hydrocarbon extraction, but the intricate pore structures of tight carbonates resulting from sedimentation, diagenesis, and tectonic activity present significant challenges. Based on borehole electrical image logging and fractal theory, we develop a method to calculate the fractal dimension of the porosity spectrum to characterize the complexity of the pore structure of the reservoir. Fractal features of the porosity spectra are studied, and fractal parameters are calculated, such as the left ([Formula: see text]), middle ([Formula: see text]), and right fractal dimensions ([Formula: see text]). A permeability prediction model is developed based on fractal parameters by investigating the linear relationship between fractal parameters and core permeability. The results indicate that [Formula: see text] and permeability have a coefficient of determination ([Formula: see text]) of 0.78, whereas [Formula: see text] between porosity and permeability is only 0.03. The [Formula: see text] and [Formula: see text] have little correlation with core permeability. The prediction results of the [Formula: see text]-based permeability model are in good agreement with the experimental data with Pearson product-moment correlation coefficient of 0.93 in the field applications. Our findings suggest that large pores primarily contribute to the permeability of tight carbonates because [Formula: see text] corresponds to the macroporous part of the porosity spectrum. This study enhances our understanding of the factors that influence permeability and provides a useful tool for predicting permeability in tight carbonate reservoirs.
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