A novel box-counting method for quantitative fractal analysis of threedimensional pore characteristics in sandstone  

作　　者：Huiqing Liu Heping Xie Fei Wu Cunbao Li Renbo Gao 

机构地区：[1]State Key Laboratory of Coal Mine Disaster Dynamics and Control,Chongqing University,Chongqing 400030,China [2]School of Resources and Safety Engineering,Chongqing University,Chongqing 400030,China [3]Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization,Shenzhen University,Shenzhen 518060,China [4]Shenzhen Key Laboratory of Deep Underground Engineering Sciences and Green Energy,College of Civil and Transportation Engineering,Shenzhen University,Shenzhen 518060,China

出　　处：《International Journal of Mining Science and Technology》2024年第4期479-489,共11页矿业科学技术学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.52374078 and 52074043);the Fundamental Research Funds for the Central Universities (No.2023CDJKYJH021)。

摘　　要：Fractal theory offers a powerful tool for the precise description and quantification of the complex pore structures 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 contribute to the exploration of the fractal transport properties of media within rocks.

关 键 词：3D fractal analysis Fractal dimension Rock pore structure Box-counting method Permeability simulation Computational geosciences 

分 类 号：P618.11[天文地球—矿床学]