Highlights ⁽¹⁾Microstructure of cement paste is acquired through computed tomography. ⁽²⁾Multifractal property of heterogeneous microstructure is examined. ⁽³⁾Incorporation of blast furnace slag results in a decrease of singularity width. The microstructure of cement paste is highly heterogeneous in nature that plays a significant role in macroscopic performance. This paper is dedicated to examining the multifractal property of microstructure in cement paste, based on which the microstructural heterogeneity could be quantified meanwhile. In particular, the X-ray computed tomography is adopted to acquire the realistic three-dimensional (3D) microstructure. Then, a thorough examination is performed on the multifractal property with respect to the partition function, the generalized dimension and the multifractal spectrum. Results indicate that the multifractal property in terms of local porosity can be recognized for the heterogeneous microstructure in both ordinary and blast furnace slag blended Portland cement pastes. The multifractal spectrum or singularity width is available to account for the degree of heterogeneity.

中文翻译：

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水泥浆异质微观结构的多重分形性质

强调 ⁽¹⁾通过计算机断层扫描获得水泥浆体的显微结构。 ⁽²⁾研究了异质微结构的多重分形特性。 ⁽³⁾高炉渣的掺入导致奇异宽度减小。 水泥浆体的微观结构本质上是高度异质的，对宏观性能起着重要作用。本文致力于研究水泥浆体微观结构的多重分形特性，同时可以在此基础上量化微观结构的异质性。特别是，采用 X 射线计算机断层扫描来获取逼真的三维 (3D) 微观结构。然后，从配分函数、广义维数和多重分形谱对多重分形性质进行了彻底的检验。结果表明，在普通和高炉矿渣混合波特兰水泥浆体的非均质微观结构中，可以识别出局部孔隙率方面的多重分形特性。