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

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Abstract

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.

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 103.99-2019.316. Additionally, D. Jougnot and A. Mendieta strongly thank the financial support of ANR EXCITING (Grant ANR-17-CE06-0012) for the PhD thesis funding of A. Mendieta.

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Authors and Affiliations

  1. Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam

    Luong Duy Thanh & Phan Van Do

  2. CNRS, EPHE, UMR 7619 Metis, Sorbonne Université, 75005, Paris, France

    Damien Jougnot & Aida Mendieta

  3. Faculty of Physics and Technology, TNU-University of Sciences, Thai Nguyen, Vietnam

    Nguyen Xuan Ca & Vu Xuan Hoa

  4. Faculty of Fundamental Sciences, Thai Nguyen University of Technology, Thai Nguyen, Vietnam

    Pham Minh Tan

  5. Ceramics and Biomaterials Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Nguyen Thi Hien

  6. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Nguyen Thi Hien

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  1. Luong Duy Thanh
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  2. Damien Jougnot
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  4. Aida Mendieta
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  5. Nguyen Xuan Ca
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  7. Pham Minh Tan
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  8. Nguyen Thi Hien
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Thanh, L.D., Jougnot, D., Van Do, P. et al. Electroosmotic Coupling in Porous Media, a New Model Based on a Fractal Upscaling Procedure. Transp Porous Med 134, 249–274 (2020). https://doi.org/10.1007/s11242-020-01444-7

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