Abstract: Three-dimensional cubic network model composed of pores and throats was built using computer simulation. The sizes of pore and throat were randomly created according to the normal distribution of pores and throats. The fluid flow process in the model was analyzed, and the mathematical models for solving capillary pressure and relative permeability were set up. The solutions of the models are consonant with the theoretical values. The effects of average connection number and model size on the calculation result showed that increase of average connection number could improve the connectivity of model, but the size of the model had little effect on the calculation. Compared to other idea models, the 3D network model is more veritable for studying oil and water flow features.

Key words: network model, multiphase flow, capillary pressure, relative permeability, connection number, mathematical model

摘要： 利用计算机模拟建立了由孔隙孔喉组成的三维立方网络模型,孔隙孔喉的大小按正态分布随机产生。分析了流体在模型中的流动过程,建立了求解毛细管压力和相对渗透率的数学模型,对模型进行求解后得到了与理论相符的结果。平均配位数和模型大小对计算结果影响的研究结果表明:增加平均配位数可以提高模型连通性,计算结果与理论分析结果一致,而模型大小对计算结果的影响并不明显。与其他理想模型相比,利用三维随机网络模型可以更真实地研究油水两相流动特征。

关键词: 网络模型, 多相流, 毛细管压力, 相对渗透率, 配位数, 数学模型