应用分形理论的实际多孔介质有效导热系数的研究

Study on Effective Thermal Conductivity of Real Porous Media by Using Fractal Theory

根据分形理论，利用实际多孔介质剖面图，对典型土壤的几何结构进行了描述，计算出了多孔介质的剖面面积分布分形维数ｄ，得到了分形固含率，获得了固含率与多孔介质颗粒排布及度量尺度之间的关系，由此，建立了实际多孔介质的导热模型，推导出了多孔介质的有效导热系数。

On the basis of fractal theory and by means of the section view of porous media,the geometric structure of real soil was described with its section view and section particle area fractal dimension d of porous media was counted. The volumetric solid content and the relation between volumetric solid content and porous media particle arrangements as well as measure scale were obtained. A heat conduction model was thus established and the effective thermal conductivity of real soil based on the volumetric solid content was calculated.