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王金安, 谢和平. 岩石断裂面的各向异性分形和多重分形研究[J]. 岩土工程学报, 1998, 20(6): 19-24.
引用本文: 王金安, 谢和平. 岩石断裂面的各向异性分形和多重分形研究[J]. 岩土工程学报, 1998, 20(6): 19-24.
Wang Jin′an, Xie Heping. On anisotropic fractal and multi fractal properties of rock fracture surfaces[J]. Chinese Journal of Geotechnical Engineering, 1998, 20(6): 19-24.
Citation: Wang Jin′an, Xie Heping. On anisotropic fractal and multi fractal properties of rock fracture surfaces[J]. Chinese Journal of Geotechnical Engineering, 1998, 20(6): 19-24.

岩石断裂面的各向异性分形和多重分形研究

On anisotropic fractal and multi fractal properties of rock fracture surfaces

  • 摘要: 针对表面结构的分形各向异性和奇异性特征,对岩石断裂表面的多重分形性质进行了研究。提出了一种新的分形测量方法———投影覆盖法,直接测量断裂表面的多重分形维数D∈[2,3),并引入粗糙性概率度量表面不规则性。研究表明,断裂表面的多重分形谱可提供有关断裂机制的更丰富的信息,不同载荷条件和断裂模式下形成的岩石断裂面具有明显不同的多重分形谱函数特征。

     

    Abstract: The multifractal behavior of rock fracture surfaces is studied,with fractal heterogeneity and anisotropy of surface structure taken into account. A roughness probability is introduced as a measure of irregularity of fracture surface. A projective covering method (PCM) is proposed and used to directly estimate the fractal dimension D ∈2,3) of fracture surface. The study indicates that the multifractal spectrum of the fracture surfaces provides much information on the fracture mechanism. The fracture surfaces induced in rocks under different failure mechanisms display distinct multifractal properties.

     

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