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Glover, PWJ orcid.org/0000-0003-1715-5474 (2017) A new theoretical interpretation of Archie’s saturation exponent. Solid Earth, 8. pp. 805-816. ISSN 1869-9510
Abstract
This paper describes the extension of the concepts of connectedness and conservation of connectedness that underlie the generalized Archie's law for n phases to the interpretation of the saturation exponent. It is shown that the saturation exponent as defined originally by Archie arises naturally from the generalized Archie's law. In the generalized Archie's law the saturation exponent of any given phase can be thought of as formally the same as the phase (i.e. cementation) exponent, but with respect to a reference subset of phases in a larger n-phase medium. Furthermore, the connectedness of each of the phases occupying a reference subset of an n-phase medium can be related to the connectedness of the subset itself by Gi = GrefSini. This leads naturally to the idea of the term Sini for each phase i being a fractional connectedness, where the fractional connectednesses of any given reference subset sum to unity in the same way that the connectednesses sum to unity for the whole medium. One of the implications of this theory is that the saturation exponent of any phase can be now be interpreted as the rate of change of the fractional connectedness with saturation and connectivity within the reference subset.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Author(s) 2017. This work is distributed under the Creative Commons Attribution 3.0 License. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) > Institute for Applied Geosciences (IAG) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Jun 2017 12:09 |
Last Modified: | 23 Jun 2023 22:30 |
Status: | Published |
Publisher: | European Geosciences Union |
Identification Number: | 10.5194/se-8-805-2017 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:117528 |
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A new theoretical interpretation of Archie’s saturation exponent. (deposited 25 Sep 2018 12:57)
- A new theoretical interpretation of Archie’s saturation exponent. (deposited 09 Jun 2017 12:09) [Currently Displayed]