多孔介质油水两相k～s～p关系数学模型的实验研究

Experimental study of relative permeability-saturation-pressure models for two-phase oil-water flow in porous media

数学模型是研究相对渗透率与饱和度关系曲线的重要方法。采用自行开发设计的人工平面多孔介质模型,测定了相对渗透率与饱和度的关系曲线。多孔介质选择粒径为0.5～1mm、1～2mm的标准砂,纯净的水为湿润相,用3号苏丹红染色的93#汽油为非湿润相,组成多孔介质油水两相流动系统。采用Van Genuchten and Mualeum(VGM)和Brooks-Corey-Burdine(BCB)两种数学模型计算相对渗透率与饱和度的关系曲线,通过比较两种数学模型计算结果之间和模型计算结果与实测结果的差异以及模型的应用、多相渗流系统自身特征,得出VGM、BCB两种数学模型计算结果符合实际情况,VGM模型应用过程更为简便,但VGM模型具有一定适用条件;在砂性多孔介质中,BCB模型计算相对渗透率与饱和度关系曲线更准确。

Mathematical models have become important tools for establishing the relationship between relative permeability and saturation.In this study,a porous media model is construed to investigate the relative permeability-saturation relations.The model is applied to an artificial planar porous media consisting of standard sands.The particle size of sands ranges from 0.5 mm and 1 mm.The experiment uses pure water as the wetting phase and 93# gasoline the non-wetting phase,which forms a two-phase system in the artificial planar porous media.The gasoline contains Sudan III.The relative permeability-saturation curves are measured and are compared to the ones simulated by two models.The two used models are the van Genuchten-Mualem（VGM） model and the Brooks-Corey/Burdine（BCB） model.The result shows that both VGM and BCB models can reasonably well simulate the relative permeability-saturation curves in porous media.The multiphase flow characteristic has an influence on the model performance.The BCB model has a better performance in porous media.In contrast,the VGM model is relatively easy to apply but with certain restrictions.