分形有机纳米毛细管中油的有效渗透率

Effective Permeability of Oil in the Fractal Organic Nanometer Capillary Tube

为了高效开发页岩油藏,迫切需要了解油在有机纳米孔中的流动机理。考虑到弯曲毛细管的分形特征,结合分形理论建立了有机纳米毛细管中油的质量流量、平均流速以及有效渗透率的解析模型。基于该模型分析可知,随着迂曲度分形维数不断增大,有效渗透率不断减小,且随着毛细管半径不断减小,迂曲度分形维数对有效渗透率影响逐渐增大。有助于进一步理解油在有机纳米毛细管中的流动,为进一步研究页岩油藏多孔介质中油的流动特性打下良好的基础。

In order to develop efficiently shale reservoirs,it is urgent to understand the flow mechanism of oil in organic nanopores.Fractal models for flow rate,velocity and effective permeability of oil in a fractal capillary are proposed considering the fractal properties of tortuous capillary.According to this model,the effective permeability decreases with the increase of tortuous fractal dimension,and the effect of tortuosity fractal dimension on effective permeability increases with the decrease of capillary radius.It is helpful to further understand the flow of oil in organic nano-capillary tube and lay a good foundation for further study on the flow characteristics of oil in porous media of shale reservoir.