Physical Explanation of Archie's Porosity Exponent in Granular Materials: A Process-Based, Pore-Scale Numerical Study

Autor(en)
Qifei Niu, Chi Zhang
Abstrakt

The empirical Archie's law has been widely used in geosciences and engineering to explain the measured electrical resistivity of many geological materials, but its physical basis has not been fully understood yet. In this study, we use a pore-scale numerical approach combining discrete element-finite difference methods to study Archie's porosity exponent m of granular materials over a wide porosity range. Numerical results reveal that at dilute states (e.g., porosity ϕ > ~65%), m is exclusively related to the particle shape and orientation. As the porosity decreases, the electric flow in pore space concentrates progressively near particle contacts and m increases continuously in response to the intensified nonuniformity of the local electrical field. It is also found that the increase in m is universally correlated with the volume fraction of pore throats for all the samples regardless of their particle shapes, particle size range, and porosities.

Organisation(en)
Institut für Meteorologie und Geophysik
Externe Organisation(en)
University of Kansas
Journal
Geophysical Research Letters
Band
45
Seiten
1870-1877
Anzahl der Seiten
8
ISSN
0094-8276
DOI
https://doi.org/10.1002/2017gl076751
Publikationsdatum
02-2018
Peer-reviewed
Ja
ÖFOS 2012
105906 Umweltgeowissenschaften, 105126 Angewandte Geophysik
Schlagwörter
ASJC Scopus Sachgebiete
Geophysics, Allgemeine Erdkunde und Planetologie
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/995c38c7-a212-44c2-bb8b-356eaa4b6fc5