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Fractal analysis and its impact factors on pore structure of artificial cores based on the images obtained using magnetic resonance imaging
Indexed by:期刊论文
Date of Publication:2012-11-01
Journal:JOURNAL OF APPLIED GEOPHYSICS
Included Journals:SCIE、EI、Scopus
Volume:86
Page Number:70-81
ISSN No.:0926-9851
Key Words:Fractal dimension; Impact factor; Porous structure; Magnetic resonance imaging; Artificial cores
Abstract:Pore structure is one of important factors affecting the properties of porous media, but it is difficult to describe the complexity of pore structure exactly. Fractal theory is an effective and available method for quantifying the complex and irregular pore structure. In this paper, the fractal dimension calculated by box-counting method based on fractal theory was applied to characterize the pore structure of artificial cores. The microstructure or pore distribution in the porous material was obtained using the nuclear magnetic resonance imaging (MRI). Three classical fractals and one sand packed bed model were selected as the experimental material to investigate the influence of box sizes, threshold value, and the image resolution when performing fractal analysis. To avoid the influence of box sizes, a sequence of divisors of the image was proposed and compared with other two algorithms (geometric sequence and arithmetic sequence) with its performance of partitioning the image completely and bringing the least fitted error. Threshold value selected manually and automatically showed that it plays an important role during the image binary processing and the minimum-error method can be used to obtain an appropriate or reasonable one. Images obtained under different pixel matrices in MRI were used to analyze the influence of image resolution. Higher image resolution can detect more quantity of pore structure and increase its irregularity. With benefits of those influence factors, fractal analysis on four kinds of artificial cores showed the fractal dimension can be used to distinguish the different kinds of artificial cores and the relationship between fractal dimension and porosity or permeability can be expressed by the model of D=a - bln(x+c). (C) 2012 Elsevier B.V. All rights reserved.