Abstract：The powders mixture proportions of cement paste composition materials were designed based on the maximum density theoretical model determined by Dinger-Funk equation(hereafter referred to as D- F equation). The correlation coefficient and Euclidean distance were used to characterize the level of similarity between actual mixture proportions and D-F equation about powder particle size distribution. The pore structure of cement paste was tested by mercury intrusion porosimetry(MIP). The relationship between Euclidean distance and fractal dimension of pore volume, as well as the effect of them on compressive strength was analyzed specifically. The results show that Euclidean distance has high correlation with fractal dimension, the correlation is 85.36%. When Euclidean distance decreases from 85.65 to 57.42, fractal dimension increases from3.17 to 3.21, the compressive strength shows a trend of increase and obtains a maximum incremental of 27.77%. But when Euclidean distance decreases from 57.42 to 37.61, fractal dimension decreases from 3.21 to 3.03 and the growth of the compressive strength is not obvious.

Keywords: D -F equation; pore structure; Euclidean distance; fractal dimension; compressive strength