An Electrical Parameter Characterizing Solute Heterogeneity: The Mixing Factor M

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Version: Final published version
Licence: CC BY-NC-ND 4.0
ID Serval
serval:BIB_2398D98EAD8A
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
An Electrical Parameter Characterizing Solute Heterogeneity: The Mixing Factor M
Périodique
Water Resources Research
Auteur⸱e⸱s
Fernandez Visentini Alejandro, Linde Niklas
ISSN
0043-1397
1944-7973
Statut éditorial
Publié
Date de publication
06/2024
Peer-reviewed
Oui
Volume
60
Numéro
6
Langue
anglais
Résumé
Quantitative estimates of hydrological state variables using electrical or electromagnetic geophysical methods are systematically biased by overlooked heterogeneity below the spatial scale resolved by the method. We generalize the high‐salinity asymptotic limit of electrical conduction in porous media at the continuous (e.g., Darcy) scale, by introducing a new petrophysical parameter, the mixing factor M, which accounts for the effect of fluid conductivity heterogeneity on the equivalent electrical conductivity tensor; it is expressed in terms of the volume‐average of the product of mean‐removed fluid conductivity and electric fields.We investigate the behavior of M for static and evolving fluid conductivity scenarios. Considering 2‐D ergodic log‐normal random fields of fluid conductivity, we demonstrate, in absence of surface conductivity, that observing the components of the M‐tensor allows univocally determining the variance and anisotropy of the field. Further, time‐series of the M‐tensor under diffusion‐limited mixing allows distinguishing between different characteristic temporal scales of diffusion, which are directly related to the initial integral scales of the salinity field. Under advective‐diffusive transport and for a pulse injection, the time‐series of M have a strong dependence on the Péclet number. Since M is defined in the absence of surface conductivity, we investigate how to correct measurements for surface conductivity effects. The parameter M provides conceptual understanding about the impact of saline heterogeneity on electrical measurements. Further work will investigate how it can be incorporated into hydrogeophysical inverse formulations and interpretative frameworks.
Web of science
Open Access
Oui
Création de la notice
01/11/2024 11:56
Dernière modification de la notice
01/11/2024 14:05
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