Permeability analysis is an essential process in reservoir characterization. As one of the most development potential kind of reservoirs, the coexistence of fractures and vugs brings great challenges to permeability analysis of fractured-vuggy carbonate reservoirs due to its highly heterogeneity on multi scales. In this work, a novel permeability analysis model is developed for fractured-vuggy carbonate reservoirs based on fractal theory, which can predict the permeability of fractured-vuggy porous media within a reliable range. Besides, a Monte Carlo simulation has also been implemented to obtain feasible values of permeability based on experimental sample parameters. The validity of the proposed fractal model is verified by both the experimental data and numerical simulation results. Each parameter in the model has clear physical meaning. The results show that the permeability of a fractured-vuggy carbonate reservoir is related to the fracture fractal dimension, fracture fractal tortuosity dimension, the maximum vug diameter and the maximum fracture aperture.

渗透率分析是储层表征的重要过程。作为最具开发潜力的储层之一，缝洞并存的多尺度非均质性给缝洞型碳酸盐岩储层的渗透率分析带来了巨大挑战。本工作基于分形理论开发了一种新型的缝洞型碳酸盐岩储层渗透率分析模型，该模型可以在可靠范围内预测缝洞型多孔介质的渗透率。此外，还实施了蒙特卡罗模拟，以根据实验样品参数获得可行的渗透率值。通过实验数据和数值模拟结果验证了所提出的分形模型的有效性。模型中的每个参数都有明确的物理意义。