2D fractal and multifractal analysis of porous space in carbonate oil reservoir

UDK: 552.541

Authors: R.I. Kadyrov, T.R. Zakirov (Kazan (Volga Region) Federal University, RF, Kazan)

This article describes a method of fractal and multifractal analysis of porous space on the basis of microphotographs of carbonate rocks thin sections. The results of measurements of porosity in the image, the fractal dimension D_bc, informational dimension D₁ and variation index of fractal properties Δα are shown. The direct positive relationship between the fractal dimension D_bc and porosity is found. Maximal values of informational dimension D₁ correspond to bioclastic-phytozoogenic and bioclastic-zoogenic limestones in which there is irregular arrangement of the very large voids on the background of fine pores. Minimal values correspond to the bioclastic phytogenic limestones with a relatively uniform distribution of small pores. High levels of variation index of fractal properties Δα> 1 characterize bioclastic phytogenic and partly bioclastic phytozoogenic limestone. The biggest bulk of the sample is concentrated within variation index of fractal properties Δα from 0.2 to 0.7 and has a similar geometry and reservoir properties.
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