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Convection of a fluid in a porous medium

Published online by Cambridge University Press:  24 October 2008

E. R. Lapwood
E. R. Lapwood
Affiliation:
Department of Geodesy and GeophysicsCambridge
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 44 , Issue 4 , October 1948 , pp. 508 - 521
Copyright
Copyright © Cambridge Philosophical Society 1948

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References

REFERENCES

(1)Benfield, A. E.Proc. Roy. Soc. A, 173 (1939), 428–50.Google Scholar
(2)Bullard, E. C.Proc. Roy. Soc. A, 173 (1939), 474–502.Google Scholar
(3)Davison, B.Phil. Mag. 21 (1936), 881–903.CrossRefGoogle Scholar
(4)Hales, A. L.Mon. Not. R. Astr. Soc. Geophys. Suppl. 3 (1936), 372–80.CrossRefGoogle Scholar
(5)Jacob, C. E.Trans. American Geophys. Union, Pt. ii (1940), 574–86.Google Scholar
(6)Jeffreys, H.Phil. Mag. 2 (1926), 833–44.CrossRefGoogle Scholar
(7)Jeffreys, H.Proc. Roy. Soc. A, 118 (1928), 195–208.Google Scholar
(8)Jeffreys, H.The Earth (2nd ed., Cambridge, 1929).Google Scholar
(9)Jeffreys, H.Proc. Cambridge Phil. Soc. 26 (1930), 170–2.CrossRefGoogle Scholar
(10)Krige, L. J.Proc. Roy. Soc. A, 173 (1939), 450–74.Google Scholar
(11)Lamb, H.Hydrodynamics (6th ed., Cambridge, 1932), § 328.Google Scholar
(12)Low, A. R.Proc. Roy. Soc. A, 125 (1929), 180–95.Google Scholar
(13)Muskat, M.Flow of homogeneous fluids through porous media (New York, 1937).Google Scholar
(14)Pellew, A. and Southwell, R. V.Proc. Roy. Soc. A, 176 (1940), 312–43.Google Scholar
(15)Rayleigh, Lord.Phil. Mag. 32 (1916), 529–46.CrossRefGoogle Scholar