2008
DOI: 10.1007/s10913-008-0013-2
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Fractal analysis of the hierarchic structure of fossil coal surface

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Cited by 9 publications
(4 citation statements)
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“…Its special importance lies in the fact that it is capable to consider the behavior of a system not only in the period of measurements but also in its prehistory [16][17]. As an example in this direction, it is possible to note the studies with application of fractal analysis in geology [18], medicine [19], chemistry [20], physical sciences [21], computer graphics [22] and seismography [23]. However, they as a rule do not cover in detail the properties of the persistence of the obtained time series, determining the noisiness of the studied dependencies and the differences that are not clearly expressed in the application of the Hurst index from other statistical methods.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…Its special importance lies in the fact that it is capable to consider the behavior of a system not only in the period of measurements but also in its prehistory [16][17]. As an example in this direction, it is possible to note the studies with application of fractal analysis in geology [18], medicine [19], chemistry [20], physical sciences [21], computer graphics [22] and seismography [23]. However, they as a rule do not cover in detail the properties of the persistence of the obtained time series, determining the noisiness of the studied dependencies and the differences that are not clearly expressed in the application of the Hurst index from other statistical methods.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…However, Li 18 thought that the pore compression effect during the high-pressure mercury intrusion stage could not accurately obtain small pores through MIP, especially when the pressure is greater than 10 MPa. Based on coal surface images, Alekseev 19 used the box-counting method to obtain the surface heterogeneity and pore structure distribution characteristics. Through this fractal construction method, denoised grayscale images can be obtained, which can effectively distinguish between the pore and solid structures.…”
Section: Introductionmentioning
confidence: 99%
“…TDC is a kind of coal in which, under mono-or multiphase tectonic stress fields, its primary texture and structure is significantly destroyed [1]. To quantitatively characterize the solid-pore-fracture structure of TDCs, the fractal approach is widely used [2][3][4][5][6], which make it possible to identify characteristic scales of blocks of disturbed coal elements, to explain the occurrence and development of a cascade of defects in the process of loading rocks, to describe the change in the geometry of cracks in the process of rock deformation. However, the fractal approach is not entirely suitable for assessing the degree of coal disturbance because a spatial distribution of defects in TDCs is usually extremely heterogeneous.…”
Section: Introductionmentioning
confidence: 99%