Fractured porous media is of great significance to the exploration and development of unconventional reservoirs. In this paper, a fractal model for permeability through micro-fractured porous media with consideration of the electric double layer (EDL) effect is proposed based on the fractal theory. The present model indicates that the permeability is a function of the electrokinetic parameters and micro-structural parameters of fractured porous media, and each parameter has a clear physical meaning, the results from the proposed model are found to be in good agreement with experimental data. Moreover, factors influencing the permeability are also analyzed in detail. The results indicate that the more obvious EDL effects will lead to permeability becoming lower. The present fractal model for the permeability with the EDL effect can provide guidance for tight reservoir development or other micro-porous media transportation.

裂缝性多孔介质对于非常规油气藏的勘探开发具有重要意义。本文基于分形理论，提出了考虑双电层效应的微裂缝多孔介质渗透率分形模型。该模型表明渗透率是裂缝性多孔介质动电参数和微观结构参数的函数，且各参数都有明确的物理意义，模型计算结果与实验数据吻合较好。此外，还详细分析了影响渗透率的因素。结果表明，EDL效应越明显，渗透率越低。目前具有 EDL 效应的渗透率分形模型可以为致密储层开发或其他微孔介质输送提供指导。