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Convection of a fluid in a porous medium
Abstract
It is shown that under certain conditions convective flow may occur in fluid which permeates a porous stratum and is subject to a vertical temperature gradient, on the assumption that the flow obeys Darcy's law. The criterion for marginal stability is obtained for three sets of boundary conditions, and the motion described. If such convection occurs in a stratum through which a bore-hole passes, the usual method of calculation of the heat flow must be modified, but in general the correction will not be large.
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Citations
Cited by
Onset of Thermohaline Convection in a Porous Medium
Nield, D. A. (1968) · Water Resources Research · doi:10.1029/wr004i003p00553 · Cited by 624
On the Thermal Balance of a Mid-Ocean Ridge
Lister, C. R. B. (1972) · Geophysical Journal International · doi:10.1111/j.1365-246x.1972.tb05766.x · Cited by 538
Hydrothermal Convection in Saturated Porous Media
COMBARNOUS, M. A., & BORIES, S. A. (1975) · Advances in Hydroscience · doi:10.1016/b978-0-12-021810-3.50008-4 · Cited by 429
On the evolution of salt lakes: Episodic convection beneath an evaporating salt lake
Nield, D. A., Simmons, C. T., Kuznetsov, A. V., & Ward, J. D. (2008) · Water Resources Research · doi:10.1029/2007wr006161 · Cited by 49
Groundwater flow pattern in the vicinity of a salt lake
Holzbecher, E. (2005) · Hydrobiologia · doi:10.1007/s10750-004-6421-7 · Cited by 32
Metadata
- Authors
- Lapwood, E. R.
- Venue
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publisher
- Cambridge University Press (CUP)
- Published
- 1948-10
- Volume
- 44
- Issue
- 4
- Pages
- 508-521
- ISSN
- 0305-0041 (ISSN-L)
- 1469-8064
- OpenAlex
- W2158818323
- Cited by
- 1,419
- References
- 0
- FWCI
- 2.95
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lapwood, E. R. (1948). Convection of a fluid in a porous medium. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/s030500410002452x
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.