整体式载体的分形研究

Research on Fractal of Monolithic Carrier

整体式Al2O3载体结构实测结果表明,虽然不同组分、不同条件下形成的块体具有不同的结构,但孔隙尺寸均满足分形标度律,是一种分形。本文构造了整体式载体分形体,提出了整体式载体的一种分形模型——蜂窝分形体,导出了关联表面积和体积增量的分形表达式,并分析了表面分维数的几何意义。本文在测得载体孔径分布的基础上,利用该模型的表面积与体积增量分形表达式,从压汞法的实验数据,研究了整体式载体分维数:实验得到的比表面积、体积增量及样品制备条件、孔隙尺寸等性能与分维数的关系,与模型提出的结论符合得很好,此方法对优化制备条件与块状载体的性能有重要意义。

The structure of monolithic Al2O3 carrier has been distinctly known by determining. Although there is the different structure for preparated carrier under different components and conditions, pore size is all according with the scale law of fractal, and is a kind of fractal. This paper constructs fractal of monolithic carrier , gets its model Honeycomb Fractal, derives expression formula of relating surface erea and volume increment, and analyzes meanings of surface fractal dimension. Moreover fractal dimension of carrier has been studied on the foundation of measuring pore diameter distribution, and the relationship of fractal dimension with preparative conditions, pore size and other performances of carrier has been detailed investigated. This method has important meaning to optimize operative condition and properties of carrier.