Journal article
Reaction-infiltration instability in a compacting porous medium
- Abstract:
- Certain geological features have been interpreted as evidence of channelized magma flow in the mantle, which is a compacting porous medium. Aharonov et al. (J. Geophys. Res., vol. 100 (B10), 1995, pp. 20433–20450) developed a simple model of reactive porous flow and numerically analysed its instability to channels. The instability relies on magma advection against a chemical solubility gradient and the porosity-dependent permeability of the porous host rock. We extend the previous analysis by systematically mapping out the parameter space. Crucially, we augment numerical solutions with asymptotic analysis to better understand the physical controls on the instability. We derive scalings for the critical conditions of the instability and analyse the associated bifurcation structure. We also determine scalings for the wavelengths and growth rates of the channel structures that emerge. We obtain quantitative theories for and a physical understanding of, first, how advection or diffusion over the reactive time scale sets the horizontal length scale of channels and, second, the role of viscous compaction of the host rock, which also affects the vertical extent of channelized flow. These scalings allow us to derive estimates of the dimensions of emergent channels that are consistent with the geologic record.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Accepted manuscript, pdf, 2.8MB, Terms of use)
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- Publisher copy:
- 10.1017/jfm.2018.524
Authors
+ European Research Council
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- Funding agency for:
- Katz, R
- Grant:
- Seventh Framework Programme: 279925
+ Natural Environment Research
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- Funding agency for:
- Rees Jones, D
- Grant:
- NE/M000427/1
- Publisher:
- Cambridge University Press
- Journal:
- Journal of Fluid Mechanics More from this journal
- Volume:
- 852
- Pages:
- 5-36
- Publication date:
- 2018-08-02
- Acceptance date:
- 2018-06-25
- DOI:
- EISSN:
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1469-7645
- ISSN:
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0022-1120
- Keywords:
- Pubs id:
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pubs:892211
- UUID:
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uuid:a56e6334-6c7c-45b9-96f9-774e0d899728
- Local pid:
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pubs:892211
- Source identifiers:
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892211
- Deposit date:
-
2018-08-02
- ARK identifier:
Terms of use
- Copyright holder:
- Cambridge University Press
- Copyright date:
- 2018
- Notes:
- © 2018 Cambridge University Press. This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1017/jfm.2018.524
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