On the Validity of the “Thin” and “Thick”
Double-Layer Assumptions When Calculating
Streaming Currents in Porous Media
Double-Layer Assumptions When Calculating
Streaming Currents in Porous Media
File(s)Jackson+Leinov_IJG_2012.pdf (1.5 MB)
Published version
Author(s)
Jackson, MD
Leinov, E
Type
Journal Article
Abstract
We find that the thin double layer assumption, in which the thickness of the electrical diffuse layer is assumed small compared
to the radius of curvature of a pore or throat, is valid in a capillary tubes model so long as the capillary radius is >200 times the
double layer thickness, while the thick double layer assumption, in which the diffuse layer is assumed to extend across the entire
pore or throat, is valid so long as the capillary radius is >6 times smaller than the double layer thickness. At low surface charge
density (<10 mC · m−2) or high electrolyte concentration (>0.5 M) the validity criteria are less stringent. Our results suggest that
the thin double layer assumption is valid in sandstones at low specific surface charge (<10 mC · m−2), but may not be valid in
sandstones of moderate- to small pore-throat size at higher surface charge if the brine concentration is low (<0.001 M). The thick
double layer assumption is likely to be valid in mudstones at low brine concentration (<0.1 M) and surface charge (<10 mC·m−2),
but at higher surface charge, it is likely to be valid only at low brine concentration (<0.003 M). Consequently, neither assumption
may be valid in mudstones saturated with natural brines.
to the radius of curvature of a pore or throat, is valid in a capillary tubes model so long as the capillary radius is >200 times the
double layer thickness, while the thick double layer assumption, in which the diffuse layer is assumed to extend across the entire
pore or throat, is valid so long as the capillary radius is >6 times smaller than the double layer thickness. At low surface charge
density (<10 mC · m−2) or high electrolyte concentration (>0.5 M) the validity criteria are less stringent. Our results suggest that
the thin double layer assumption is valid in sandstones at low specific surface charge (<10 mC · m−2), but may not be valid in
sandstones of moderate- to small pore-throat size at higher surface charge if the brine concentration is low (<0.001 M). The thick
double layer assumption is likely to be valid in mudstones at low brine concentration (<0.1 M) and surface charge (<10 mC·m−2),
but at higher surface charge, it is likely to be valid only at low brine concentration (<0.003 M). Consequently, neither assumption
may be valid in mudstones saturated with natural brines.
Date Issued
2012
Date Acceptance
2012-01-19
Citation
International Journal of Geophysics, 2012, 2012
ISSN
1687-8868
Publisher
Hindawi Publishing Corporation
Journal / Book Title
International Journal of Geophysics
Volume
2012
Copyright Statement
Copyright © 2012 M. D. Jackson and E. Leinov. This is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
License URL
Identifier
http://www3.imperial.ac.uk/people/m.d.jackson
Publication Status
Published
Article Number
897807