Abstract: Grid upscaling is to keep the reservoir physical properties and seepage characteristics of the two models as same as possible before and after upscaling. Thus, the model after upscaling can achieve the same development effect as before upscaling. The permeability is upscaled by harmonic average and arithmetic average. It's found that the relationship curve between recovery degree and water cut after upscaling is different from that before upscaling. Based on reservoir engineering theory, a functional relationship between slope and intercept of Kro/Krw⁃Sw relationship curve and slope and intercept of water⁃oil ratio and recovery relationship curve is derived. Therefore, the phase permeability curve after upscaling can be deduced back. It's found that there is a linear relationship between the displacement distance of the phase permeability curve and the intercept of the fitting line of the water⁃oil ratio curve and the recovery degree curve. The displacement distance of the phase permeability curve can be calculated. The phase translation law is verified by using actual oilfield data. The error of water⁃oil ratio and recovery degree curve between after translation and before coarsening is 3.16%, and the precision is high.

Key words: Grid upscaling, Relative permeability curve, Equivalent characterization, Development effect, Reservoir numerical simulation

摘要： 网格粗化就是保持粗化前后两个模型的油藏物性与渗流特征尽可能相同，从而保证模型粗化前与粗化后具有相同的开发效果。采用调和平均和算数平均对渗透率进行粗化，发现粗化后的采出程度与含水率的关系曲线与粗化前存在一定的差别。基于油藏工程理论推导得到油、水相对渗透率（Kro/Krw）与含水饱和度（Sw）的关系曲线的斜率与截距和水油比与采出程度关系曲线的斜率与截距存在函数关系，可以反推得到粗化后的相渗曲线。通过研究发现，相渗曲线的平移距离和水油比与采出程度关系曲线拟合直线的截距存在线性关系，进而可以计算得到相渗曲线的平移距离。采用实际油田数据对相渗平移规律进行验证，粗化后与粗化前的水油比与采出程度关系曲线误差为3.16%，精度较高。

关键词: 网格粗化, 相渗曲线, 等效表征, 开发效果, 油藏数值模拟