多孔介质输运性质的分形分析研究进展

ADVANCES OF FRACTAL ANALYSIS OF TRANSPORT PROPERTIES FOR POROUS MEDIA

首先对多孔介质输运性质的传统实验测量、解析分析和数值模拟计算研究进展作了扼要的评述。然后,着重综述采用分形理论和方法研究多孔介质输运性质分析解的理论、方法和所取得的进展。最后,指出采用分形理论和方法有可能解决其它尚未解决的有关多孔介质输运性质的若干课题和方向。

In this paper an overview of recent advances made in predicting transport properties such as permeability, thermal dispersion conductivity and thermal conductivity for porous media is presented. In this review, the theoretical basis for the fractal analysis is addressed, including the analytical expressions for fractal dimensions of porous media, a criterion on whether a medium can be analyzed by fractal theory and technique, and fractal statistical properties of porous media. Several fractal models are presented and reviewed. These include fractal permeability models and fractal thermal conductivity models for porous media. The predictions from the fractal models are compared with experimental data, and good agreements are found. Comments and suggestions are made with respect to the theoretical studies that should be made in this area in the future.