Regular vs. chaotic mantle mixing

Earth and Planetary Science Letters

Volumn 155, Issue 1-2, 1998, Pages 75-86

  Ferrachat, Sylvaine ^a   Ricard, Yanick ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Convection; Mantle; Mixing; Three dimensional models

Indexed keywords

CONVECTION; MANTLE MIXING;

EID: 0031846171     PISSN: 0012821X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0012-821x(97)00200-8     Document Type: Article

References (35)

1. C.J. Allègre, Chemical geodynamics, Tectonophysics 81 (1982) 109-132.
2. A. Zindler, S. Hart, Chemical geodynamics, Annu. Rev. Earth Sci. 14 (1986) 493-571.
3. A.W. Hofmann, Chemical differentiation of the Earth: the relationship between mantle, continental crust, and oceanic crust, Earth Planet. Sci. Lett. 90 (1988) 297-314.
4. S. Hart, A. Zindler, Constraints on the nature and development of chemical heterogeneities in the mantle, in: W.R. Peltier (Ed.), Mantle Convection, Plate Tectonics and Global Dynamics, Gordon and Breach, New York, NY, 1989, pp. 261-387.
5. D. McKenzie, Finite deformation during fluid flow, Geophys. J.R. Astron. Soc. 58 (1979) 689-715.
6. N.R.A. Hoffman, D.P. McKenzie, The destruction of geochemical heterogeneities by differential fluid motions during mantle convection, Geophys. J.R. Astron. Soc. 82 (1985) 163-206.
7. M. Gurnis, G.F. Davies, Mixing in numerical models of mantle convection incorporating plate kinematics, J. Geophys. Res. 91 (1986) 6375-6395.
8. U. Christensen, Mixing by time-dependent convection, Earth Planet. Sci. Lett. 95 (1989) 382-394.
9. L.H. Kellogg, D.L. Turcotte, Mixing and the distribution of heterogeneities in a chaotically convecting mantle, J. Geophys. Res. 95 (1990) 421-432.
10. M. Manga, Mixing of heterogeneities in the mantle: effect of viscosity differences, Geophys. Res. Lett. 23 (1996) 403-406.
11. U. Christensen, A. Hoffmann, Segregation of subducted oceanic crust in the convecting mantle, J. Geophys. Res. 99 (1994) 19867-19884.
12. C.W. Gable, H.A. Stone, R.J. O'Connell, Chaotic mantle mixing: Time dependence is unnecessary, Eos (Trans. Am. Geophys. Union) 72 (1991) 269.
13. J. Schmalzl, G.A. Houseman, U. Hansen, Mixing properties of three-dimensional stationary convection, Phys. Fluids 7 (1995) 1027-1033.
14. J. Schmalzl, G.A. Houseman, U. Hansen, Mixing in vigourous time-dependent 3D convection and application to the Earth's mantle, J. Geophys. Res. 10 (1996) 21847-21858.
15. K.J. Whiteman, Invariants and stability in classical mechanics, Rep. Prog. Phys. 40 (1977) 1033-1069.
16. J.R. Cary, R.G. Littlejohn, Noncanonical Hamiltonian mechanics and its application to magnetic field line flow, Ann. Phys. 151 (1983) 1-34.
17. T. Dombre, U. Frisch, J.M. Greene, M. Hénon, A. Mehr, A.M. Soward, Chaotic streamlines in the ABC flows, J. Fluid Mech. 167 (1986) 353-391.
18. H.A. Kusch, J.M. Ottino, Experiments on mixing in continuous chaotic flows, J. Fluid Mech. 236 (1992) 319-348.
19. K. Bajer, H.K. Moffatt, On a class of steady confined Stokes flows with chaotic streamlines, J. Fluid Mech. 212 (1990) 337-363.
20. V. Toussaint, P. Carrière, F. Raynal, A numerical Eulerian approach to mixing by chaotic advection, Phys. Fluids 7 (1995) 2587-2600.
21. W. Arter, Nonlinear Rayleigh-Bénard convection with square planform, J. Fluid Mech. 152 (1985) 391-418.
22. Y. Ricard, C. Vigny, Mantle dynamics with induced plate tectonics, J. Geophys. Res. 94 (1989) 17543-17559.
23. B.H. Hager, R.J. O'Connell, Subduction zone dip angles and flow driven by plate motion, Tectonophysics 50 (1978) 111-133.
24. O. Cadek, Y. Ricard, Toroidal/poloidal partitioning and global lithospheric rotation during Cenozoic time, Earth Planet. Sci. Lett. 109 (1992) 621-632.
25. C. Lithgow-Berteloni, M.A. Richards, Y. Ricard, R.J. O'Connell, Toroidal-poloidal partitioning of Cenozoic and Mesozoic plate motions, Geophys. Res. Lett. 20 (1993) 375-378.
26. B.H. Hager, R.J. O'Connell, A simple global model of plate dynamics and mantle convection, J. Geophys. Res. 86 (1981) 4843-4867.
27. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport, Cambridge University Press, Cambridge, 1989.
28. A.J. Lichtenberg, M.A. Lieberman, Regular and Chaotic Dynamics, Springer, Berlin, 1992.
29. E. Ott, Chaos in Dynamical Systems, Cambridge University Press, Cambridge, 1993.
30. P. Olson, D.A. Yuen, D. Balsiger, Mixing of passive heterogeneities by mantle convection, J. Geophys. Res. 89 (1984) 425-436.
31. C.J. Allègre, D.L. Turcotte, Implications of a two-component marble-cake mantle, Nature (London) 323 (1986) 123-127.
32. G. Metcalfe, C.R. Bina, J.M. Ottino, Kinematic considerations for mantle mixing, Geophys. Res. Lett. 22 (1995) 743-746.
33. G.F. Davies, Comment on "Mixing by time-dependent convection", by U. Christensen, Earth Planet. Sci. Lett. 98 (1990) 405-407.
34. C. Vigny, Géoide et dynamique interne de la Terre, Ph.D. Thesis, University of Paris-Sud, Orsay, 1986.
35. C.W. Gable, R.J. O'Connell, B.J. Travis, Convection in three dimensions with surface plates: generation of toroidal flow, J. Geophys. Res. 96 (1991) 8391-8405.