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Multifractal features of 3-D macropore structures of discretized X-ray CT of undisturbed soil columns

机译:原状土柱离散X射线CT 3-D大孔结构的多重分形特征

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摘要

The objective of this work was to develop the multifractal description of soil porosity values (2-D sectional porosities) as a function of depth with data from binarized 2-D images that were obtained from X-ray CT scans of 12 water-saturated 20 cm-long soil columns with diameters of 7.5 cm. A reconstruction algorithm was applied to convert the X-ray CT data into a stack of 1480 grayscale digital images with a voxel resolution of 110 microns and a cross-sectional size of 690x690 pixels. The series corresponding to the percentage of void space of the sectional binarized images were recorded. These series of depth-dependent macroporosity values exhibited a well defined multifractal structure that was represented by the singularity and the Rényi spectra. We also parameterized the memory, or long range dependencies, in these series using the Hurst exponent and the multifractal model.
机译:这项工作的目的是利用来自二值化二维图像的数据开发土壤孔隙度值(二维截面孔隙率)随深度变化的多重分形描述,该数据是通过对12个水饱和的20层的X射线CT扫描获得的厘米长的土壤柱,直径7.5厘米。应用了重建算法,将X射线CT数据转换为1480个灰度数字图像的堆栈,体素分辨率为110微米,横截面尺寸为690x690像素。记录与截面二值化图像的空隙空间的百分比相对应的系列。这些与深度相关的大孔隙度值系列显示出定义明确的多重分形结构,该结构由奇异性和Rényi光谱表示。我们还使用Hurst指数和多重分形模型对这些系列中的内存或远距离依赖项进行了参数化。

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