Electroosmotic Coupling in Porous Media, a New Model Based on a Fractal Upscaling Procedure

• Published in: Transport in porous media Vol. 134; no. 1; pp. 249 - 274
• Main Authors: Thanh, Luong Duy, Jougnot, Damien, Van Do, Phan, Mendieta, Aida, Ca, Nguyen Xuan, Hoa, Vu Xuan, Tan, Pham Minh, Hien, Nguyen Thi
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2020; Springer Nature B.V; Springer Verlag
• Subjects: Capillaries; Chemical Sciences; Civil Engineering; Classical and Continuum Physics; Coefficients; Computational fluid dynamics; Couplings; Digital media; Dolomite; Earth and Environmental Science; Earth Sciences; Electrokinetics; Electroosmosis; Flow velocity; Fractal models; Fractals; Geophysics; Geotechnical Engineering & Applied Earth Sciences; Hydrogeology; Hydrology/Water Resources; Industrial Chemistry/Chemical Engineering; or physical chemistry; Porous media; Sciences of the Universe; Streaming potential; Theoretical and; Water saturation; Porous media; Fractal; Zeta potential; Electroosmosis; Electrokinetics
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-020-01444-7

Electrokinetic and electroosmotic couplings can play important roles in water and ions transport in charged porous media. Electroosmosis is the phenomena explaining the water movement in a porous medium subjected to an electrical field. In this work, a new model is obtained through a new up-scaling procedure, considering the porous medium as a bundle of tortuous capillaries of fractal nature. From the model, the expressions for the electroosmosis pressure coefficient, the relative electroosmosis pressure coefficient, the maximum back pressure, the maximum flow rate, the flow rate-applied back pressure relation and the product of the permeability and formation factor of porous media are also obtained. The sensitivity of the relative electroosmosis pressure coefficient is then analyzed and explained. The model predictions are then successfully compared with published datasets. Additionally, we deduce an expression for the relative streaming potential coefficient and then compare it with a previously published model and experimental data from a dolomite rock sample. We find a good agreement between those models and experimental data, opening up new perspectives to model electroosmotic phenomena in porous media saturated with various fluids.