The formation and evolution of layered structures in porous media

Journal of Geophysical Research: Solid Earth

Volumn 103, Issue 9, 1998, Pages 20843-20858

  Schoofs, Stan ^a   Trompert, Ron A ^a,c   Hansen, Ulrich ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF MÜNSTER   (Germany)

^c Origin Nederland BV   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FORMATION MECHANISM; LAYERED MEDIUM; POROUS MEDIUM;

EID: 0032505303     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/98jb01391     Document Type: Article

References (31)

1. Aharonov, E., M. Spiegelman, and P. Kelemen, Three-dimensional flow and reaction in porous media: Implications for the Earth's mantle and sedimentary basins, J. Geophys. Res., 102, 14821-14833, 1997.
2. Campbell, I. H., Fluid dynamic processes in basaltic magma chambers, in Layered Intrusions, Developments in Petrology, Vol. 15, edited by R. G. Cawthorn, pp. 45-76, Elsevier, New York, 1996.
3. Cawthorn R. G. (Ed.), Layered Intrusions, Developments in Petrology, Vol. 15, 531 pp., Elsevier, New York, 1996.
4. Darcy, H., Les Fontaines Publiques de la Ville de Dijon, Victor Dalmont, Paris, 1856.
5. Eales, H. V., and R. G. Cawthorn, The Bushveld Complex, in Layered Intrusions, Developments in Petrology, Vol. 15, edited by R. G. Cawthorn, pp. 181-229, Elsevier, New York, 1996.
6. Fernando, H. J. S., The formation of a layered structure when a stable salinity gradient is heated from below, J. Fluid Mech., 182, 525-541, 1987.
7. Fernando, H. J. S., Buoyancy transfer across a diffusive interface, J. Fluid Mech., 209, 1-34, 1989.
8. Fournier, R. O., Double-diffusive convection in geothermal systems: The Salton Sea, California, geothermal system as a likely candidate, Geothermics, 19, 481-496, 1990.
9. Griffiths, R. W., Layered double-diffusive convection in porous media, J. Fluid Mech., 102, 221-248, 1981.
10. Hansen, U., and D. A. Yuen, Formation of layered structures in double-diffusive convection as applied to the geosciences, in Double-Diffusive Convection, Geophys. Monogr. Ser., vol. 94, edited by A. Brandt and H. J. S. Fernando, pp. 135-150, AGU, Washington D.C., 1995.
11. Hundsdorfer, W., and R. A. Trompert. Method of lines and direct discretization: A comparison for linear advection, Appl. Numer. Math., 13, 469-490, 1994.
12. Huppert, H. E., and P. F. Linden, On heating a stable salinity gradient from below, J. Fluid Mech., 95, 431-464, 1979.
13. Kerr, W. C., A. W. Woods, M. G. Worster, and H. E. Huppert, Solidification of an alloy cooled from above, 1, Equilibrium growth, J. Fluid Mech., 216, 323-342, 1990a.
14. Kerr, W. C., A. W. Woods, M. G. Worster, and H. E. Huppert, Solidification of an alloy cooled from above, 2, Non-equilibrium interfacial kinetics, J. Fluid Mech., 217, 321-348, 1990b.
15. Kerr, W. C., A. W. Woods, M. G. Worster, and H. E. Huppert, Solidification of an alloy cooled from above, 3, Compositional stratification within the solid, J. Fluid Mech., 218, 337-354, 1990c.
16. Kimura, S., G. Schubert, and J. M. Straus, Route to chaos in porous-medium thermal convection, J. Fluid Mech., 166, 305-324, 1986.
17. Marsh, R. P., Magma chambers, Annu. Rev. Earth Planet. Sci., 17, 439-474, 1989.
18. McBirney, A. R., The Skaergaard Intrusion, in Layered Intrusions, Developments in Petrology, Vol. 15, edited by R. G. Cawthorn, pp. 147-180, Elsevier, New York, 1996.
19. McBirney, A. R., and R. M. Noyes, Crystallization and layering of the Skaergaard Intrusion, J. Petrol., 310, 487-554, 1979.
20. Molemaker, M. J., and H. A. Dijkstra, The formation and evolution of a diffusive interface, J. Fluid Mech., 331, 199-229, 1997.
21. Murray, B. T., and C. F. Chen, Double-diffusive convection in a porous medium, J. Fluid Mech., 201, 147-166, 1989.
22. Nield, D., and A. Bejan, Convection in Porous Media, 408 pp. Springer-Verlag, New York, 1992.
23. Olson, P., P. G. Silver, and R. W. Carlson, The large-scale structure of convection in the Earth's mantle, Nature, 334, 209-215, 1990.
24. Rosenberg, N. D., and F. J. Spera, Thermohaline convection in a porous medium heated from below, Int. J. Heat Mass Transfer, 35, 1261-1273, 1992.
25. Schmitt, R. W., Double diffusion in oceanography, Annu. Rev. Fluid Mech., 26, 255-285, 1994.
26. Spera, F. J., D. A. Yuen, and H.-J. Hong, Double-diffusive convection in magma chambers: Single or multiple layers?, Geophys. Res. Lett, 13, 153-156, 1986.
27. Stevenson, D. J., Formation and early evolution of the Earth, in Mantle, convection, edited by W. R. Peltier, pp. 818-873, Gordon and Breach, Newark, New Jersey, 1989.
28. Sweby, P. K., High resolution schemes using flux-limiters for hyperbolic conservation laws, SIAM J. Numer. Anal., 21, 995-1011, 1984.
29. Trompert, R. A., and U. Hansen, The application of a finite volume multigrid method to three dimensional flow problems in a highly viscous fluid with a variable viscosity, Geophys. Astrophys. Fluid Dyn., 83, 261-291, 1996.
30. Turner, J. S., The behaviour of a stable salinity gradient heated from below, J. Fluid Mech., 33, 183-200, 1968.
31. Turner, J. S., Multicomponent convection, Annu. Rev. Fluid Mech., 17, 11-44, 1985.