Abstract: The common relative permeability curves weve divided into three types of type-Ⅰ,type-Ⅱand type-Ⅲ relative permeability curves.The investigation of 70 relative permeability curves shows that all relative permeability curves have the same characteristic.When any relative permeability curve was plotted in a semi-log graph paper,the relative permeability could be showed by logarithm coordinate,and the water saturation was showed by ordinary coordinate.When certain modification factors were introduced,a straight line could be achieved and defined as the relative permeability eigen curve.The relative permeability and water saturation fulfills linear equation.The three types of relative permeability curves have the same format of eigen curve.The relationship between connate water saturation and air permeability,the relationship between water saturation at residual oil point and air permeability,and that between oil phase relative permeability at connate water saturation point and air permeability were determined.Based on these relationships,relative permeability eigen curve method can be used to produce relative permeability curve for every grid block of reservoir numerical simulation and significantly improve the reservoir numerical simulation

Key words: relative permeability, reservoir numerical simulation, eigen curve, water saturation, reservoir physics

摘要： 对常见的相对渗透率曲线进行了分型,定义了Ⅰ型、Ⅱ型和Ⅲ型3种形式相对渗透率曲线。对70条油水相对渗透率曲线进行分析发现,相对渗透率曲线具有一致的特征:在半对数坐标系中,以对数坐标表示相对渗透率,以普通坐标表示含水饱和度,经过校正均满足直线关系,将这种直线定义为相对渗透率特征曲线。3种形式相对渗透率曲线都具有相同形式的特征曲线方程,分别定义为Ⅰ型、Ⅱ型和Ⅲ型相对渗透率特征曲线。在确定束缚水饱和度、最大含水饱和度、束缚水饱和度点油相相对渗透率与油层空气渗透率之间的关系后,可以在数值模拟中利用相对渗透率特征曲线方法对每个网格块进行计算,得到一条相对渗透率曲线,从而提高数值模拟的精度。

关键词: 相对渗透率, 油藏数值模拟, 特征曲线, 含水饱和度, 油层物理