首页|A novel box-counting method for quantitative fractal analysis of three-dimensional pore characteristics in sandstone
A novel box-counting method for quantitative fractal analysis of three-dimensional pore characteristics in sandstone
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Fractal theory offers a powerful tool for the precise description and quantification of the complex pore struc-tures in reservoir rocks,crucial for understanding the storage and migration characteristics of media within these rocks.Faced with the challenge of calculating the three-dimensional fractal dimensions of rock porosity,this study proposes an innovative computational process that directly calculates the three-dimensional fractal dimensions from a geometric perspective.By employing a composite denoising approach that integrates Fourier transform(FT)and wavelet transform(WT),coupled with multimodal pore extraction techniques such as threshold segmentation,top-hat transformation,and membrane enhancement,we successfully crafted accurate digital rock models.The improved box-counting method was then applied to analyze the voxel data of these digital rocks,accurately calculating the fractal dimensions of the rock pore distribution.Further numerical simulations of permeability experiments were conducted to explore the physical correlations between the rock pore fractal dimensions,porosity,and absolute permeability.The results reveal that rocks with higher fractal dimensions exhibit more complex pore connectivity pathways and a wider,more uneven pore distribution,suggesting that the ideal rock samples should possess lower fractal dimensions and higher effective porosity rates to achieve optimal fluid transmission properties.The methodology and conclusions of this study provide new tools and insights for the quantitative analysis of complex pores in rocks and con-tribute to the exploration of the fractal transport properties of media within rocks.
3D fractal analysisFractal dimensionRock pore structureBox-counting methodPermeability simulationComputational geosciences
Huiqing Liu、Heping Xie、Fei Wu、Cunbao Li、Renbo Gao
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State Key Laboratory of Coal Mine Disaster Dynamics and Control,Chongqing University,Chongqing 400030,China
School of Resources and Safety Engineering,Chongqing University,Chongqing 400030,China
Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization,Shenzhen University,Shenzhen 518060,China
Shenzhen Key Laboratory of Deep Underground Engineering Sciences and Green Energy,College of Civil and Transportation Engineering,Shenzhen University,Shenzhen 518060,China