Modeling the Approach of Non-mated Rock Fracture Surfaces Under Quasi-static Normal Load Cycles

In order to test the differences in the morphology characterization of rock fracture surfaces under different loading directions and rates, the following three steps are operated. Firstly, using Brazilian test, the Brazilian discs are loaded to fracture under different loading modes. Secondly, each rock fracture surface is scanned with a highly accurate laser profilometer and accordingly the coordinates of three lines on every rock fracture surface and three sections of every line are selected to analyze their fracture morphology characterization. Finally, modulus maximum method of wavelet transform, including a new defined power algorithm and signal to noise ratio, and fractal variation method are used to determine the differences in rock fracture surfaces’ morphology characterization under different loading directions and rates. The result illustrates that both modulus maximum and fractal variation method can detect anisotropy of rock fracture failure. Compared to modulus maximum method, fractal variation method shows stronger sensitivity to the change of loading rates, which is more suitable to differentiate the rock fracture surface’s morphology characterization under different loading modes.

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Study on generation of rock fracture surfaces by using fractal interpolation

International Journal of Solids and Structures ◽

10.1016/s0020-7683(00)00390-5 ◽

2001 ◽

Vol 38 (32-33) ◽

pp. 5765-5787 ◽

Cited By ~ 67

Author(s):

Heping Xie ◽

Hongquan Sun ◽

Yang Ju ◽

Zhigang Feng

Keyword(s):

Rock Fracture ◽

Fractal Interpolation ◽

Fracture Surfaces

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CONTRAST OF ROCK FRACTURE SURFACE’S MORPHOLOGY CHARACTERIZATION BASED ON FRACTAL VARIATION

Fractals ◽

10.1142/s0218348x19500701 ◽

2019 ◽

Vol 27 (05) ◽

pp. 1950070

Author(s):

XUEZAI PAN ◽

ZHIRONG SHENG ◽

XUDONG SHANG

Keyword(s):

Fracture Surface ◽

Rock Fracture ◽

White Marble ◽

Fracture Surfaces ◽

Loading Mode ◽

The Mean ◽

Morphology Characterization ◽

The Mathematical Model ◽

First Time

In order to research roughness of rock fracture surfaces and interior damaged status of rock, some Brazil discs of white marble and sandstone are loaded to fracture by Brazil Test and the mathematical model of fractal variation is used to distinguish the morphology characterization of fracture surface of white marble from that of sandstone. Through computing the acquired scanned data of rock fracture surfaces, the following three results are obtained. First, the roughness of fracture surface increases with increase of loading angles, furthermore, the anisotropy of white marble fracture surface is more obvious than that of sandstone one. Second, under the same loading mode, by analyzing the mean fractal variation, the fracture surface of white marble is rougher than that of sandstone. Finally, rock disc specimens loaded to 1/2 or 3/4 of mechanics of mean fracture threshold still do not fracture at the first time loading, but their interiors have been badly damaged.

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RESEARCH ON MORPHOLOGIES OF ROCK FRACTURE SURFACES BASED ON MATHEMATICAL METHODS

Fractals ◽

10.1142/s0218348x15500395 ◽

2015 ◽

Vol 23 (04) ◽

pp. 1550039

Author(s):

XUEZAI PAN

Keyword(s):

Interpolation Method ◽

Rock Fracture ◽

Small Island ◽

Fractal Interpolation ◽

Mathematical Methods ◽

Fractal Method ◽

Fracture Surfaces ◽

Power Spectral ◽

Rock Fracture Mechanics ◽

Spectral Density Method

In order to research mechanics of rock fracture instant, it is one of methods that rock fracture mechanics are researched by rock fracture surfaces’ morphology. Some researched results which come from international and domestic researches in decades are described and summarized from mathematics in this paper. For example, fractal dimension method, “Small Island Method”, fractal interpolation method, Multi-fractal method, the accumulation power spectral density method. In addition, advantages and insufficiencies of every method are reviewed and commented. In the end, the future researched expectations are put forward from three aspects of rock fracture surfaces’ morphology.

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