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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/18608


    Title: Two-dimensional Hurst Index of Joint Surfaces
    Authors: Yang, Z. Y.;Di, C. C.;Lo, S. C.
    Contributors: 淡江大學土木工程學系
    Keywords: Anisotropy;Brownian movement;Morphology;Rocks;Statistical mechanics;Surface roughness;Joint surfaces;Statistical self-affinity properties;Two dimensional Hurst index;Rock mechanics
    Date: 2001-11
    Issue Date: 2013-08-08 14:49:29 (UTC+8)
    Publisher: Vienna: Springer Wien
    Abstract: The three-dimensional roughness morphology of joint surfaces affects their mechanical behavior. The one-dimensional joint profiles provide an incomplete and biased characterization of joint surface morphology. A two-dimensional quantitative description of surface roughness is thus needed. This paper extends the Hurst index applied on the one-dimensional profile to the two-dimensional joint surfaces. The two-variable fractal Brownian motion theory is employed successfully to describe the whole degree of roughness on the joint surface. To find this two-dimensional roughness index, two base dimensions and asperity height of the joint surface are enlarged by different ratios to achieve the requirement of statistical self-affinity properties. The Hurst index and thus fractal dimension of two joint surfaces cored from sandstone and schist is examined using the triangular-prism-surface-area method as well as this new method. It is shown that for distinguishing the whole roughness difference between these joint surfaces the new method is better. The asperity height distribution of the joint surface is Gaussian and behaves like a self-affine fractal, while the sampling points are enough. For practical application, a two-dimensional Hurst index H 2D; that is directly expressed in the form of Fourier series represented by the profiles in two properly orthogonal directions is proposed to describe the anisotropy of a whole joint surface.
    Relation: Rock Mechanics and Rock Engineering 34(4), pp.323-345
    DOI: 10.1007/s006030170004
    Appears in Collections:[Graduate Institute & Department of Civil Engineering] Journal Article

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