中文摘要：

相对渗透率对指导油田开发具有十分重要的作用，分形理论的出现为计算相对渗透率曲线提供了一种新的方法，但已有求取相对渗透率曲线的分形模型都将最大与最小孔隙半径比视为无穷大进行简化计算，误差较大．因此建立了考虑最大与最小孔隙半径比求取油水相渗曲线的模型，并分析了最大与最小孔隙半径比对相渗曲线的影响，结果表明最大与最小孔隙半径比的增大对油相渗透率影响微弱，对水相渗透率影响巨大，且水相渗透率曲线随着最大最小半径比的增大渐向右移，两相区面积逐渐减小，当比值为无穷大时两相区面积为零．最后，结合F储层，验证了采用比值变化模型计算的相渗曲线与实验测得曲线误差甚微．说明该方法简单易行，精准度高，值得推广与应用．

英文摘要：

Relative permeability plays a very important role in guiding the development of oil field. The appearance of fractal theory provides a new method for calculating relative permeability curve, but all previous fractal models of calculating relative permeability curve neglect the effect of maximum to minimum ratio of pore radius,and the margin of error is great. So we established a new fractal model which has considered the effect of maximum to minimum ratio of pore radius. The results show that with the increase of the maxto min ratio of pore radius, the change of kro is small while the change of krw is significant and the curve of krw gradually moves to the right until the area of two phase zone decreases to zero. Then. For F reservoir, the relative permeability curve calculated by this new model is agreement with the curve obtained by indoor experiments. Moreover, it is proved that this method is simple and accurate, and is worthy of popularization and application.