Fractal Theory-Based Model of Relative Permeability in Porous Media

Introduction: Understanding the relative permeability in porous media is crucial for various applications, including oil extraction and groundwater flow. Traditional models often overlook the complex interactions between pore structure and capillary forces in multiphase flow. This patent research provides a method for calculating the relative permeability of porous media, with the main objective of quantifying the dynamic competitive relationship of multiphase fluids, providing key theoretical support for resource development, environmental engineering, and scientific research, and ultimately achieving efficient and sustainable engineering decision-making. Method: This patent aims to establish a relative permeability model for porous media based on fractal theory, which combines capillary morphology and two-phase distribution, and studies the effects of fractal parameters, pore structure, and wettability on relative permeability. Result: This patent establishes a relative permeability model with high applicability and accuracy. Discussion: The research findings indicate that: (1) an increase in porosity leads to a decrease in the two-phase water saturation and relative permeability curves; (2) A higher fractal dimension increases the relative permeability of the non-wetting phase, but as the water saturation increases, the permeability of the wetting phase decreases; (3) Key factors such as capillary force, wettability, and pore structure significantly affect multiphase flow behavior. Conclusion: The developed model based on fractal theory accurately predicts the relative permeability in porous media, highlighting the importance of fractal parameters, pore morphology, and wettability in understanding multiphase flow dynamics. This model can serve as a reliable tool for practical applications in the field of porous media.