Abstract: Through the analysis of the fractal dimension characteristics of gradation of GAC-13C asphalt mixture, the correlation between pavement fractal dimension and road performance was studied. The relationship between fractal dimension and gradation with and without segmented regression was analyzed. The correlation between the pass rate of 4.75 mm and the fractal dimension was compared. According to the related results of Marshall test parameters, high temperature stability and skid resistance test, the correlation between the gradation fractal dimension characteristics of changing the pass rate of 4.75 mm sieve hole and the road performance of the mixtures was discussed. The results show that: the correlation between the pass rate of 4.75 mm and the segmented fractal dimension is better; with the decrease of pass rate of 4.75 mm, the fractal dimension of GAC-13C type asphalt mixture gradually increases and the gradation becomes coarser. At the same time, the fractal dimension and Marshall test parameters, high temperature stability as well as skid resistance of mixtures have good correlation.

Key words: highway engineering, gradation fractal, GAC-13C, road performance, fractal dimension

摘要： 通过对GAC-13C型沥青混合料级配分维特征进行分析，研究其与路用性能的相关性。剖析经分段回归和未经分段回归时分维数与级配的关系，对4.75 mm通过率与分维数的相关性进行了比较，并根据马歇尔试验参数、高温稳定性和抗滑性能试验相关结果，探讨改变4.75 mm筛孔通过率的级配分维特征与混合料路用性能之间的相关性。研究表明：4.75 mm的通过率与分段后的分维数相关性更好，随着级配4.75 mm筛孔通过率的降低，GAC-13C型沥青混合料分维值逐渐增大，级配变粗。同时，分维数和混合料马歇尔试验参数、高温稳定性和抗滑性能等均具有较好的相关性。

关键词: 道路工程, 级配分形, GAC-13C, 路用性能, 分形维数