分形维数
分形
曲折
网络的分形维数
分形导数
箱式计数
分形分析
岩石物理学
多孔性
多孔介质
材料科学
数学
几何学
地质学
统计物理学
数学分析
岩土工程
物理
作者
Yuxuan Xia,Jingong Cai,Wei Wei,Xiangyun Hu,Xin Wang,Xin Ge
出处
期刊:Fractals
[World Scientific]
日期:2018-02-01
卷期号:26 (01): 1850006-1850006
被引量:93
标识
DOI:10.1142/s0218348x18500068
摘要
Fractal theory has been widely used in petrophysical properties of porous rocks over several decades and determination of fractal dimensions is always the focus of researches and applications by means of fractal-based methods. In this work, a new method for calculating pore space fractal dimension and tortuosity fractal dimension of porous media is derived based on fractal capillary model assumption. The presented work establishes relationship between fractal dimensions and pore size distribution, which can be directly used to calculate the fractal dimensions. The published pore size distribution data for eight sandstone samples are used to calculate the fractal dimensions and simultaneously compared with prediction results from analytical expression. In addition, the proposed fractal dimension method is also tested through Micro-CT images of three sandstone cores, and are compared with fractal dimensions by box-counting algorithm. The test results also prove a self-similar fractal range in sandstone when excluding smaller pores.
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