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Multiscale characterization of pore spaces using multifractals analysis of scanning electronic microscopy images of carbonates

机译:使用碳酸盐扫描电子显微镜图像的多重分形分析对孔隙空间进行多尺度表征

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Pore spaces heterogeneity in carbonates rocks has long been identified as an important factor impacting reservoir productivity. In this paper, we study the heterogeneity of carbonate rocks pore spaces based on the image analysis of scanning electron microscopy (SEM) data acquired at various magnifications. Sixty images of twelve carbonate samples from a reservoir in the Middle East were analyzed. First, pore spaces were extracted from SEM images using a segmentation technique based on watershed algorithm. Pores geometries revealed a multifractal behavior at various magnifications from 800x to 12 000x. In addition, the singularity spectrum provided quantitative values that describe the degree of heterogeneity in the carbonates samples. Moreover, for the majority of the analyzed samples, we found low variations (around 5%) in the multifractal dimensions for magnifications between 1700x and 12 000x. Finally, these results demonstrate that multifractal analysis could be an appropriate tool for characterizing quantitatively the heterogeneity of carbonate pore spaces geometries. However, our findings show that magnification has an impact on multifractal dimensions, revealing the limit of applicability of multifractal descriptions for these natural structures.
机译:长期以来,碳酸盐岩孔隙空间的非均质性一直被认为是影响储层产能的重要因素。在本文中,我们基于在各种放大倍数下获得的扫描电子显微镜(SEM)数据的图像分析,研究了碳酸盐岩孔隙空间的非均质性。分析了来自中东储层的十二个碳酸盐样品的六十幅图像。首先,使用基于分水岭算法的分割技术从SEM图像中提取孔隙空间。孔的几何形状显示了从800x到12000x的各种放大倍数的多重分形行为。另外,奇异谱提供了定量值,这些定量值描述了碳酸盐样品中的异质性程度。此外,对于大多数分析样品,我们发现在1700x到12000x的放大倍数下,多重分形尺寸的变化很小(约5%)。最后,这些结果表明,多重分形分析可能是定量表征碳酸盐孔隙空间几何结构非均质性的合适工具。但是,我们的发现表明,放大倍数会影响多重分形的维数,从而揭示了多重分形描述对于这些自然结构的适用性的局限性。

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