中文摘要：

建立了分形模型来模拟水泥浆体的空间结构，在此基础上推导出了孔体积分形维数D和孔隙率P、孔径分布的关系式；根据所得公式预测混凝土的孔体积分形维数D在0到3之间，并且D值随孔隙率减小和孔径分布范围变宽而增大．同时运用压汞法（MIP）测定普通硅酸盐混凝土的孔结构，进行孔体积分形维数计算，发现孔体积分形维数与强度之间有比较好的相关性。

英文摘要：

A fractal model is established to simulate the spatial structure of concrete slurry, and a formula that describes the relationship among the fractal dimension D, the porosity P and the pore distribution is deduced. Based on the proposed formula, a fractal dimension of concrete pore structure in the range of 0 to 3 is obtained, which increases with the decrease in porosity and with the widening in pore distribution. Moreover, a Mercury Intrusion Porosimeter （MIP） is used to determine the pore structure of ordinary Portland cement and to calculate the corresponding fractal dimension. The results indicate that the fractal dimension and the concrete strength are closely interrelated.