分形纳米毛细管中水的有效渗透率

Effective Permeability of Water in Fractal Nanometer Capillary Tube

结合页岩纳米毛细管的分形特征,建立了页岩纳米毛细管中水流动时的流量以及有效渗透率的分形模型。基于该模型分析可知,毛细管两端压力梯度越大,纳米毛细管中水的流量就越大;页岩基质纳米毛细管直径越大,水在纳米毛细管中流动时的有效渗透率就越大;而页岩基质纳米毛细管的迂曲度分形维数越大,水在其中流动时的流量以及有效渗透率就越小;且有机纳米毛细管的自吸能力高于无机纳米毛细管。

Combined with the fractal characteristics of shale nanocapillaries,the fractal models of water flow and ef⁃fective permeability in shale nanocapillaries are established.Based on the analysis of this model,it is known that the greater the pressure gradient at both ends of the capillary is,the greater the flow rate of water in the nanocapillary is;And the larger the diameter of the nanocapillary in the shale matrix is,the greater the effective permeability of water in the nanocapillary is;And the larger the tortuous fractal dimension of the nanocapillary in the shale matrix is,the smaller the flow rate and effective permeability of water in the nanocapillary are.And the self-absorption abil⁃ity of organic nanocapillaries is higher than that of inorganic nanocapillaries.