The challenges of modeling shale oil transport are numerous and include strong solid-fluid interactions, fluid rheology, the multi-scale nature of the pore structure problem, and the different pore types involved. Until now, theoretical studies have not fully considered shale oil transport mechanisms and multi-scale pore structure properties. In this study, we propose a fractal-based oil transport model with uncertainty reduction for a multi-scale shale pore system. The fractal properties of the shale pore system are obtained using high-resolution scanning electron microscope (SEM) imaging combined with laboratory core sample gas permeability measurements to reduce the model uncertainty. This fractal-based oil transport model accounts for boundary slippage, fluid rheology, the adsorption layer, and different pore types. We further pinpoint the effects of the fractal properties (pore fractal dimension, tortuosity fractal dimension), the shale pore properties (pore type, pore size, total organic carbon in volume), and the fluid properties (yield stress, liquid slippage, adsorption layer) on the shale oil permeability and mobile oil saturation using the proposed model. The results reveal that the size of the inorganic pores has the largest influence on the shale oil transport properties, followed by the yield stress, tortuosity fractal dimension, and the fractal dimension of the inorganic pores.

页岩油输运建模面临诸多挑战，包括强固液相互作用、流体流变学、孔隙结构问题的多尺度性质以及所涉及的不同孔隙类型。到目前为止，理论研究尚未充分考虑页岩油输运机制和多尺度孔隙结构特性。在这项研究中，我们提出了一种基于分形的石油输运模型，可减少多尺度页岩孔隙系统的不确定性。使用高分辨率扫描电子显微镜（SEM）成像结合实验室岩心样品气体渗透率测量来获得页岩孔隙系统的分形特性，以减少模型的不确定性。这种基于分形的石油输运模型考虑了边界滑移、流体流变、吸附层和不同的孔隙类型。我们进一步查明分形性质（孔隙分形维数、曲折分形维数）、页岩孔隙性质（孔隙类型、孔径、体积总有机碳）和流体性质（屈服应力、液体滑移、吸附层）的影响）使用所提出的模型研究页岩油渗透率和流动油饱和度。结果表明，无机孔隙尺寸对页岩油输导性能的影响最大，其次是屈服应力、迂曲度分维数和无机孔隙分形维数。