Investigating the Characterization of Pore Size Distribution and Permeability, Capillary Water Absorption in Porous Media Based on Entropy Theory

ABSTRACT The performance of porous media, such as capillary water migration and permeability, is significantly influenced by the complexity of the pore structure. The pore complexity can be characterized by the fractal dimension of the pore structure () and the fractal dimension of pore tortuosity (). In this study, the entropy theory was employed to evaluate the complexity of the pore size distribution in porous media. By considering T 2 and porosity, the entropy measures for the pore size distribution entropy ( H P ), global entropy ( H G ) and relative entropy ( H R ) were calculated. Furthermore, the relationships between these three types of entropy and , tortuosity, , permeability, and capillary absorption coefficient () were investigated. Our findings demonstrate that H P exhibits a quadratic increase with . Pore tortuosity decreases as a power function of H G while increasing as a power function of H R . decreases as an exponential function with H G while increasing as an exponential function with H R . Moreover, the permeability varied as a quadratic function with the H P , and theincreased as an exponential and logarithmic function with the porosity and H G , respectively. This study highlights the feasibility and reliability of employing entropy theory to characterize microscopic pore structure features and hydraulic properties.