Dong M, Chatzis I
Faculty of Engineering, University of Regina, Regina, Saskatchewan S4S 0A2, Canada.
J Colloid Interface Sci. 2004 May 1;273(1):306-12. doi: 10.1016/j.jcis.2003.11.052.
The retention of liquids in the corners of a 0.03-cm square capillary after the passage of a gas slug was studied experimentally as a function of capillary number in the range from 10(-3) to 10(-6). In gas-wetting liquid systems, for capillary number greater than 5 x 10(-4), the retention of a wetting liquid in the corners showed a strong dependence on the capillary number; i.e., the retention of the liquid decreased with decreasing capillary number. For capillary number less than 10(-4), the retention of a wetting liquid was found to be determined by the capillary forces and the rate (or viscous) effect was negligible. In gas-oil-water systems involving double displacements--gas was displacing oil which was in turn displacing water--the total retention of water and oil vs capillary number curve showed the same trend as the retention of a wetting phase in a gas-wetting liquid system. However, because of the viscous effect, the water retention showed a continuous decrease with decreasing capillary number and could be lower than the capillary equilibrium value at very low capillary numbers. As a result of this, the oil retention vs capillary number curve in the double displacement process showed a minimum; i.e., oil retention increased with decreasing capillary number in the range of very low capillary numbers.
研究了气体段塞通过后,0.03平方厘米方形毛细管角落处液体的滞留情况,该滞留情况是毛细管数在10^(-3)至10^(-6)范围内的函数。在气体-润湿液体系统中,当毛细管数大于5×10^(-4)时,润湿液体在角落处的滞留对毛细管数有强烈依赖性;即,液体滞留量随毛细管数减小而降低。当毛细管数小于10^(-4)时,发现润湿液体的滞留由毛细管力决定,速率(或粘性)效应可忽略不计。在涉及双重驱替的气-油-水系统中(气体驱替油,油又驱替水),水和油的总滞留量与毛细管数曲线呈现出与气体-润湿液体系统中润湿相滞留相同的趋势。然而,由于粘性效应,水的滞留量随毛细管数减小而持续降低,并且在非常低的毛细管数下可能低于毛细管平衡值。因此,双重驱替过程中油的滞留量与毛细管数曲线呈现出最小值;即在非常低的毛细管数范围内,油的滞留量随毛细管数减小而增加。