An Electrical Parameter Characterizing Solute Heterogeneity: The Mixing Factor M
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Download: Water Resources Research - 2024 - Fernandez Visentini - An Electrical Parameter Characterizing Solute Heterogeneity The (2).pdf (2256.77 [Ko])
State: Public
Version: Final published version
License: CC BY-NC-ND 4.0
State: Public
Version: Final published version
License: CC BY-NC-ND 4.0
Serval ID
serval:BIB_2398D98EAD8A
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
An Electrical Parameter Characterizing Solute Heterogeneity: The Mixing Factor M
Journal
Water Resources Research
ISSN
0043-1397
1944-7973
1944-7973
Publication state
Published
Issued date
06/2024
Peer-reviewed
Oui
Volume
60
Number
6
Language
english
Abstract
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
Yes
Create date
01/11/2024 11:56
Last modification date
01/11/2024 14:05