Imaged based fractal characterization of micro-fracture structure in coal

被引：73

作者：

Wu, Hao ^{[1
,2
,3
]}

Zhou, Yingfang ^{[3
]}

Yao, Yanbin ^{[1
,4
]}

Wu, Kejian ^{[3
]}

机构：

[1] China Univ Geosci, Sch Energy Resource, Beijing 100083, Peoples R China

[2] China Univ Geosci, Beijing Key Lab Unconvent Nat Gas Geol Evaluat &, Beijing 100083, Peoples R China

[3] Univ Aberdeen, Sch Engn, Aberdeen AB243UE, Scotland

[4] China Univ Geosci, Coal Reservoir Lab, Natl Engn Res Ctr CBM Dev & Utilizat, Beijing 100083, Peoples R China

来源：

FUEL | 2019年 / 239卷

基金：

中国国家自然科学基金;

关键词：

Fractal dimension; Coal; Micro-CT images; Box-counting method; REV; LOW-FIELD NMR; PORE-FRACTURE; DIMENSION; POROSITY; TOMOGRAPHY; NETWORKS; CT;

D O I：

10.1016/j.fuel.2018.10.117

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

To better understand the fractal characteristics of coal fracture network and find the relation between 2D and 3D fractal dimensions, the improved box counting method was utilized to calculate 2D and 3D fractal dimensions based on high resolution CT images of 4 coal samples (R-o from 2.915% to 4.69%). Based on the calculated 2D and 3D fractal dimension, the size of representative element volume (REV), the relationship between D-f2 and D-f3 and the relationship between porosity and fractal dimension were investigated extensively. As the complement of previous theoretical studies, the exponential relationship between porosity and fractal dimension was proved. By deducing formulas based on fractal theory, the ratio of the minimum pore size to the maximum pore size could be obtained. Evidently, the relation between 2D and 3D fractal dimension of coal could be expressed as D-f3 = CDf2 + 1, and the slope of the line, C, depends on the average 2D fractal dimension of the sample.

引用

页码：53 / 62

页数：10

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