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水泥基体结构异质性多重分形分析与模拟
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Abstract:
水泥基体由具有不规则几何形貌的组分无序堆积而成，在空间维度上呈现出典型的结构异质性。本文以不同养护龄期(7 d, 28 d)的普通硅酸盐水泥净浆为例，基于X射线计算机断层扫描(X–ray Computed Tomography, XCT)技术获取其三维灰度图像。针对水泥基体的三维结构，以局部孔隙率为指标开展多重分形分析。结果表明，多重分形分析对于定量描述水泥基体结构异质性具有很好的适用性。此外，本文提出利用一般化二项迭代方法模拟水泥基体的结构异质性。
Cement paste is comprised of anhydrous clinkers and hydrates of irregular morphology, which manifests an intrinsic structural heterogeneity in spatial domain. Taking ordinary Portland cement paste cured at 7 d and 28 d into account, we use the X-ray Computed Tomography (XCT) to acquire their 3-dimensional structural features. With the 3-dimensional XCT images as input, the multifractal analysis is performed based on a definition of local porosity. Results indicate that the multifractal analysis shows a good applicability in quantification of the structural heterogeneity in cement paste. Besides that, a generalized binomial multiplicative cascade is introduced to model the multifractal structural heterogeneity.
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