Optimal thresholding in carbonate reservoir CT image binarization based on fractal theory
Wu Guo-ming1, Li Xizhe2, Gao Shusheng2, Liu Huaxun2, Wu Guoquan3, An Weiguo2
1. Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Sciences, Langfang, Hebei 065007, China; 2. Langfang Branch, Research Institute of Petroleum Exploration and Development, CNPC, Langfang, Hebei 065007, China; 3. College of Electrical Engineering, Lanzhou Institute of Technology, Lanzhou, Gansu 730050, China
Abstract：Gray image binarization is one key step of digital core built by CT.With the means of image process and analysis and fractal theory,we introduce a porosity calculation as a more accurate and appropriate constraint for CT image binarization.From our study,the cumulative quantity of vugs with different shapes and scales in carbonates has the power law relationship with the radiuses distribution,which means statistical fractal characteristics.Microscopic porosity development degree and heterogeneity can be represented by the fractal dimension,and the fractal dimension has a nonlinear quantitative relationship with porosity.Some parameters such as the number and shapes of vugs are statistically analyzed with the combination of the four direction-connecting pixel gradient mutation algorithm and fractal theory,and the porosity with small error is calculated.An appropriate filtering noise suppression and an edge detection operator can effectively and accurately calibrate microscopic porosity of CT gray images.Characteristics of microscopic porosity morphology and distribution are preserved in binary image that would be helpful for 3D digital core reconstruction in the future.
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