Fractal-based approaches have become popular for describing the hydraulic functions. The SWCC and relative hydraulic conductivity were calculated and compared based on fractal models by the fractal dimension (D) determined by small angle X-ray scattering (SAXS) and X-ray computed tomography (CT). Pore structure parameters including pore size, D, tortuosity and tortuosity fractal dimension, porosity, characteristic length were investigated. The SWCC and relative hydraulic conductivity were predicted, compared and verified. The results indicated that the D of GMZ01 calculated by SAXS and CT were 2.60 and 2.72, respectively, and the difference was small. The D of GMZ01 calculated by CT was 2.62. D calculated by SAXS and CT has a large difference. Nitrogen adsorption revealed the effectiveness of SAXS in predicting porosity in the nanoscale self-similar interval. A SWCC fractal model considering the tortuosity fractal dimension was improved. The tortuosity of GMZ01, CaGMZ, GMZ07 and SY are calculated as 1.53, 1.47, 1.60 and 1.29, respectively. When the tortuosity was considered, the hydraulic conductivity became lower. For GMZ01, the SWCC predicted by the fractal dimension measured by SAXS was closer to the experimental data than the SWCC predicted by the fractal dimension measured by CT. The fractal model was difficult to describe SWCC under low matric suction, while the predicted SWCC had a good correlation with the experimental value in high matric suction. The relative hydraulic conductivity calculated by Xu and Yu model was larger than that calculated by Xu model.

中文翻译：

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同步辐射萨克斯和X射线计算机断层扫描膨润土相对水导率和SWCC分形模型研究

基于分形的方法已成为描述液压功能的流行方法。SWCC和相对水力传导率是基于分形模型通过分形维数计算和比较的（D)由小角 X 射线散射 (SAXS) 和 X 射线计算机断层扫描 (CT) 确定。孔结构参数，包括孔径，D、曲折度和曲折度分形维数、孔隙度、特征长度进行了研究。对 SWCC 和相对水力传导率进行了预测、比较和验证。结果表明，DSAXS 和 CT 计算得到的 GMZ01 分别为 2.60 和 2.72，差异很小。这DCT 计算得到的 GMZ01 为 2.62。DSAXS 和 CT 计算的结果有很大的不同。氮吸附揭示了 SAXS 在预测纳米级自相似区间孔隙度方面的有效性。改进了考虑曲折分形维数的SWCC分形模型。GMZ01、CaGMZ、GMZ07 和 SY 的曲折度分别计算为 1.53、1.47、1.60 和 1.29。当考虑曲折度时，水力传导率变低。对于GMZ01，SAXS测量的分形维数预测的SWCC比CT测量的分形维数预测的SWCC更接近实验数据。分形模型难以描述低基质吸力下的SWCC，而预测的SWCC与高基质吸力下的实验值具有良好的相关性。