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Roughness Research of Center Profile Curve on Rock Fracture Surface Based on Statistical Method

Author(s): Xuezai Pan | Zhigang Feng | Guoxing Dai | Hongguang Liu

Journal: Geomaterials
ISSN 2161-7538

Volume: 03;
Issue: 02;
Start page: 47;
Date: 2013;
Original page

Keywords: Rock Mechanics | Rock Fracture Surfaces | Normal Vector | Statistics | Normal Distribution

In order to research roughness of rock fracture surfaces whether to depend on scale effect, Brazil discs were fractured under tensile and compression stresses in Brazil split test with MTS (Mechanics Test Systems) and a laser profilometer was used to scan rock fracture surfaces and coordinates datum of central profile were acquired. A figure of the central profile was plotted through the coordinates datum. A certain line segment length is regarded as a step length, which is called scale and the scale length is taken to connect pairs of closer peak points on the profile curve. The directional distribution of every scale’s normal vector is analyzed by statistics and normal hypothesis test. Finally, some statistics of sample degrees datum are compared with other ones and reach a conclusion that roughness of center profile curve depends on scale effect. The distribution of degrees more and more approximates normal distribution along with increase of scale.
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