Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Predicting Electrokinetic Coupling and Electrical Conductivity in Fractured Media Using a Bundle of Tortuous Capillary Fractures

Version 1 : Received: 5 March 2021 / Approved: 5 March 2021 / Online: 5 March 2021 (21:51:27 CET)

How to cite: Thanh, L.D.; Jougnot, D.; Do, P.V.; Hue, D.T.M.; Thuy, T.T.C.; Tuyen, V.P. Predicting Electrokinetic Coupling and Electrical Conductivity in Fractured Media Using a Bundle of Tortuous Capillary Fractures. Preprints 2021, 2021030206 (doi: 10.20944/preprints202103.0206.v1). Thanh, L.D.; Jougnot, D.; Do, P.V.; Hue, D.T.M.; Thuy, T.T.C.; Tuyen, V.P. Predicting Electrokinetic Coupling and Electrical Conductivity in Fractured Media Using a Bundle of Tortuous Capillary Fractures. Preprints 2021, 2021030206 (doi: 10.20944/preprints202103.0206.v1).

Abstract

The electrokinetics methods have a great potential to characterize hydrogeological processes in geological media, especially in complex hydrosystems such as fractured formations. In this work, we conceptualize fractured media as a bunch of parallel capillary fractures following the fractal size distribution. This conceptualization permits to obtain analytical models for both the electrical conductivity and the electrokinetic coupling in water saturated fractured media. We explore two different approaches to express the electrokinetic coupling. First, we express the streaming potential coupling coefficient as a function of the zeta potential and then we obtain the effective charge density in terms of macroscopic hydraulic and electrokinetic parameters of porous media. We show that when the surface electrical conductivity is negligible, the proposed models reduces to the previously proposed one based on a bundle of cylindrical capillaries. This model opens up a wide range of applications to monitor the water flow in fractured media.

Subject Areas

Fractured media; Streaming potential; Electrical conductivity; Fractal

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