关于在多孔的媒介的液体流动的边界形状的研究在设计惯例起一个重要作用,例如石油利用,原子废物处理和地下水污染。在这篇论文,有不同的孔的人工的多孔的样品(钢玉粉碧玉) 的六种类型被生产。与在多孔的媒介的慢流动的背景,实验室实验被在多孔的媒介的各种各样的类型与不同动态粘性观察液体的五种类型的运动执行。一个数字录像录音机被采用在多孔的媒介记录液体流动的完全的过程。在多孔的媒介,平均排水量和动人的边界的分数维的尺寸基于液体流动的动人的边界的数字相片为孔和动态粘性的不同联合被估计。而且,平均速度的进化行为和有时间的动人的边界的分数维的尺寸被知道。平均速度,动人的边界的分数维的尺寸和多孔的媒介和液体的动态粘性的孔的统计关系在这篇论文被建议。在多孔的媒介的液体流动的动人的边界的前面形状是多孔的媒介和液体的动态粘性的孔的综合结果,这被显示出。
Researches on the boundary shape of fluid flow in porous media play an important role in engineering practices, such as petroleum exploitation, nuclear waste disposal and groundwater contamination. In this paper, six types of artificial porous samples (emery jade) with different porosities are manufactured. With the background of slow flow in porous media, laboratory experiments are carried out by observing the movement of five types of fluids with different dynamic viscosities in various types of porous media. A digital video recorder is employed to record the complete process of the fluid flow in the porous media. Based on the digital photos of the moving boundaries of fluid flow in porous media, the average displacement and fractal dimension of the moving boundary are estimated for different combinations of porosity and dynamic viscosity. Moreover, the evolution behavior of the average velocity and fractal dimension of the moving boundary with time is known. The statistical relations of the average velocity, the fractal dimension of the moving boundary and the porosity of porous media and the dynamic viscosity of fluids are proposed in this paper. It is shown that the front shape of the moving boundary of fluid flow in porous media is an integrated result of the porosity of porous media and the dynamic viscosity of fluids.