Direct Estimation of the Fractal Dimensions of a Fracture Surface of Rock

H. W. Zhou () and H. Xie
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H. W. Zhou: Institute of Rock Mechanics and Fractals, China University of Mining and Technology, Xueyuan Road D11, Beijing 100083, P R China
H. Xie: Institute of Rock Mechanics and Fractals, China University of Mining and Technology, Xueyuan Road D11, Beijing 100083, P R China

Surface Review and Letters (SRL), 2003, vol. 10, issue 05, 751-762

Abstract: A direct determination of the fractal dimensions of a fracture surface is essential for a better understanding of its complete topographic characteristics. In this paper, a laser profilometer is employed to measure the topography of a rock's fracture surface. With the use of the triangular prism surface area and projective covering methods, the resultant data set enables us to directly determine the fractal dimensions of a rock's fracture surface. Moreover, a new method, referred to as the cubic covering method, is proposed. The theoretical issues of fractal dimension estimation are also discussed.

Keywords: Fracture surface; fractal dimension; cubic covering method (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S0218625X03005591

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