土壤样品有效导热系数的分形计算模型

Fractal model for efficient thermal conductivity of soil sample

选择上海地区具有代表性的两种土壤样品,根据其微结构的特点,在粒径分布、剖面颗粒分布自相似规律的基础上建立了土壤结构分形模型;结合并联传热模型,得到土壤样品有效导热系数的分形表达式。通过与土壤样品有效导热系数的实测数据相比较,确立了符合样品有效导热系数的分形表述的最佳面积度量尺度。

The fractal theory used in this paper is based on microstructure characteristics of two types of typical soil in Shanghai. Their microstructures are described on the ground of particle-size distribution and particle distribution on the vertical plane. The formulae of efficient thermal conductivity are given out by the method of equivalent thermal resistance. By comparison with experimental measurement, the optimal area measurement scale has been established.