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多孔介质粘滞指进中的毛细效应
引用本文:赵明,张端明,郁伯铭.多孔介质粘滞指进中的毛细效应[J].华中科技大学学报(自然科学版),1998(Z2).
作者姓名:赵明  张端明  郁伯铭
作者单位:华中理工大学物理系
摘    要:建立了考虑毛细效应时多孔介质中二相流驱替的物理模型及动力学方程,提出了一种求解此类方程的近似方法,通过计算机模拟,得到了相应驱替前沿的分形生长图形,与未考虑毛细效应时的图形比较,发现其孔隙尺寸范围的分枝结构变弱,其表面相对光滑,分维值减少,从而证实了毛细效应的孔隙尺寸范围抑制指进型分枝结构的结论.

关 键 词:粘滞指进  毛细效应  表面分维

The Capillary Effect of Viscous Fingering in Porous Media
Zhao Ming,Zhang Duanming,Yu Bomin.The Capillary Effect of Viscous Fingering in Porous Media[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(Z2).
Authors:Zhao Ming  Zhang Duanming  Yu Bomin
Institution:Zhao Ming Zhang Duanming Yu Bomin
Abstract:A physical model is presented to research how the capillary effect affects the fractal nature of viscous fingering in porous media. According to this model, the dynamic equations of two phase flow in the porous media are established and solved with successive over relaxation method. The results of the computer simulation show that the capillary effect suppress the branching structure of viscous fingering at pore scales and reduce the values of surface fractal dimension of fingering patterns.
Keywords:viscous fingering  capillary effect  Surface fractal dimension
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