At least three scales of convection in a mantle with strongly temperature-dependent viscosity

Physics of the Earth and Planetary Interiors

Volumn 188, Issue 3-4, 2011, Pages 132-141

  Androvandi, Sophie ^a   Davaille, Anne ^b   Limare, Angela ^a   Foucquier, Aurélie ^a,c   Marais, Catherine ^a,d  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

^b CNRS   (France)

^c LABORATOIRE DE PHYSIQUE DE LA MATIÈRE CONDENSÉE   (France)

^d ESPCI   (France)

Author keywords

Asthenosphere; Laboratory experiments; Mantle convection; Plumes; Subduction

Indexed keywords

ASTHENOSPHERE; LABORATORY EXPERIMENTS; MANTLE CONVECTION; PLUMES; SUBDUCTION;

EXPERIMENTS; IGNEOUS ROCKS;

VISCOSITY;

ASTHENOSPHERE; BOUNDARY LAYER; DOWNWELLING; MANTLE CONVECTION; RAYLEIGH NUMBER; SUBDUCTION; TEMPERATURE EFFECT; VISCOSITY;

EID: 82455210905     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2011.07.004     Document Type: Article

References (103)

1. Albers M., Christensen U.R. The excess temperature of plumes rising from the core-mantle boundary. Geophys. Res. Lett. 1996, 23:3567-3570.
2. Androvandi, S., 2009. Convection multi-chelles dans un Manteau dont la viscosit dpend de la temprature, Ph.D. Thesis, Institut de Physique du Globe de Paris, France.
3. Bercovici D. Plate generation in a simple model of lithosphere-mantle flow with dynamic self-lubrication. Earth Planet. Sci. Lett. 1996, 144:41-51.
4. Bercovici D. Generation of plate tectonics from lithosphere mantle flow and void-volatile self-lubrication. Earth Planet. Sci. Lett. 1998, 154:139-151.
5. Bercovici D. The generation of plate tectonics from mantle convection. Earth Planet. Sci. Lett. (Frontiers) 2003, 205:107-121.
6. Bercovici D., Schubert G., Glatzmaier G.A., Zebib A. Three-dimensional thermal convection in a spherical shell. J. Fluid Mech. 1989, 206:75-104.
7. Billen M.I., Gurnis M., Simons M. Multiscale dynamics of the Tonga Kermadec subduction zone. Geophys. J. Int. 2003, 153:359-388.
8. Busse F.H., Frick H. Square-pattern convection in fluids with strongly temperature-dependent viscosity. J. Fluid Mech. 1985, 150:451-465.
9. Christensen U. Heat transport by variable viscosity convection and implications for the Earth's thermal evolution. Phys. Earth Planet. Int. 1984, 35:264-282.
10. Christensen U.R. Convection with pressure and temperature-dependent non-Newtonian rheology. Geophys. J.R. Astr. Soc. 1984, 77:343-384.
11. Christensen U.R. Heat transport by variable viscosity convection II: pressure influence, non-Newtonian rheology and decaying heat sources. Phys. Earth Planet. Int. 1985, 37:183-205.
12. Christensen U.R., Harder H. 3-D Convection with variable viscosity. Geophys. J. Int. 1991, 104:213-220.
13. Collins W.J. Slab pull, mantle convection, and Pangaean assembly and dispersal. Earth Planet. Sci. Lett. 2003, 205:225-237.
14. Courtillot V., Davaille A., Besse J., Stock J. Three distinct types of hotspots in the Earth's mantle. Earth Planet. Sci. Lett. 2003, 205:295-308.
15. Cserepes L., Christensen U.R. Three-dimensional convection under drifting plates. Geophys. Res. Lett. 1990, 17:1497-1500.
16. Davaille A., Jaupart C. Transient high-Rayleigh number thermal convection with large viscosity variations. J. Fluid Mech. 1993, 253:141-166.
17. Davaille A., Jaupart C. Onset of thermal convection in fluids with temperature-dependent viscosity: application to the oceanic mantle. J. Geophys. Res. 1994, 99:19853-19866.
18. Davaille A., Girard F., Le Bars M. How to anchor plumes in a convecting mantle?. Earth Planet. Sci. Lett. 2002, 203:621-634.
19. Davaille A., Stutzmann E., Silveira G., Besse J., Courtillot V. Convective patterns under the Indo-Atlantic? box?. Earth Planet. Sci. Lett. 2005, 239:233-252.
20. Davaille A., Limare A. Laboratory Studies of Mantle Convection. Treatise of Geophysics, vol. 7 2007, 89-165. Elsevier. D. Bercovici, G. Schubert (Eds.).
21. Davies G.F. Ocean bathymetry and mantle convection, 1. Large-scale flow and hotspots. J. Geophys. Res. 1988, 93:10467-10480.
22. Davies J.H. Steady plumes produced by downwellings in Earth-like vigor spherical whole mantle convection models. Geochem. Geophys. Geosyst. 2005, 6:Q12001. 10.1029/2005GC001042.
23. Davies D.R., Davies J.H. Thermally-driven mantle plumes reconcile multiple hot-spot observations. Earth Planet. Sci. Lett. 2009, 278:50-54.
24. Debayle E., Kennett B., Priestley K. Global azimuthal seismic anisotropy and the unique plate-motion deformation of Australia. Nature 2005, 433:509-512.
25. Dziewonski A.M., Lekic V., Romanowicz B. Mantle anchor structure: an argument for bottom up tectonics. Earth Planet. Sci. Lett. 2010, 299:69-79.
26. Ekstrom G., Dziewonski A. The unique anisotropy of the Pacific upper mantle. Nature 1998, 394:168-172.
27. Farnetani C.G. Excess temperature of mantle plumes: the role of chemical stratification across D. Geophys. Res. Lett. 1997, 24:1583-1586.
28. Forte A.M., Mitrovica J.X. New inferences of mantle viscosity from joint inversion of long-wavelength mantle convection and post-glacial rebound data. Geophys. Res. Lett. 1996, 23:1147-1150.
29. Funiciello F., Faccenna C., Heuret A., Lallemand S., Di Giuseppe E., Becker T.W. Trench migration, net rotation and slab mantle coupling. Earth Planet. Sci. Lett. 2008, 271:233-240.
30. Giannandrea E., Christensen U.R. Variable viscosity convection experiments with a stress-free upper boundary and implications for the heat transport in the Earths mantle. Phys. Earth Planet. Sci. 1993, 78:139-152.
31. Gonnermann H.M., Jellinek A.M., Richards M.A., Manga M. Modulation of mantle plumes and heat flow at the core mantle boundary by plate-scale flow: results from laboratory experiments. Earth Planet. Sci. Lett. 2004, 226:53-67.
32. Grand S.P. Mantle shear-wave tomography and the fate of subducted slabs. Phil. Trans. R. Soc. London Ser. A 2002, 360:2475-2491.
33. Grand S.P., van der Hilst R.D., Widiyantoro S. Global seismic tomography: A snapshot of convection in the earth. GSA Today 1997, 4:1-7.
34. Guillou L., Jaupart C. On the effect of continents on mantle convection. J. Geophys. Res. 1995, 100:24217-24238.
35. Gurnis, M., Zhong, S., Toth, J., 2000. On the competing roles of fault reactivation and brittle failure in generating plate tectonics from mantle convection. In: Richards, M.A., Gordon, R., Van der Hilst, R. (Eds.), The History and Dynamics of Global Plate Motions, AGU Geophysical Monograph 21, pp. 73-94.
36. Hager B.H., Clayton R.W., Richards M.A., Comer R.P., Dziewonski A.M. Lower mantle heterogeneity, dynamic topography and the geoid. Nature 1985, 313:541-545.
37. Hansen U., Yuen D.A. High Rayleigh number regime of temperature-dependent viscosity convection and the Earth's early thermal history. Geophys. Res. Lett. 1993, 20:2191-2194.
38. Hirth, G., 2003. Laboratory constraints on the rheology of the upper mantle. In: Karato, S.-I., Wenk, H-R. (Eds.), Plastic Deformation of Minerals and Rocks, Rev. Mineral. Geochem., vol. 51.
39. Houseman G.A. The thermal structure of mantle plumes: axisymmetric or triple-junction?. Geophys. J. Int. 1990, 102:25-43.
40. Jarvis G., Peltier W.R. Mantle convection as a boundary layer phenomenon. Geophys. J.R. Astr. Soc. 1982, 68:389-427.
41. Jaupart C., Parsons B. Convective instabilities in a variable viscosity fluid cooled from above. Phys. Earth Planet. Int. 1985, 39:32-41.
42. Jellinek A.M., Gonnermann H.M., Richards M.A. Plume capture by divergent plate motions: Implications for the distribution of hotspots, geochemistry of mid-ocean ridge basalts, and heat flux at the core-mantle boundary. Earth Planet. Sci. Lett. 2003, 205:367-378.
43. Kameyama M., Ogawa M. Transitions in thermal convection with strongly temperature-dependent viscosity in a wide box. Earth Planet. Sci. Lett. 2000, 180:355-367.
44. Kohlstedt D.L., Evans B., Mackwell S.J. Strength of the lithosphere: constraints imposed by laboratory experiments. J. Geophys. Res. 1995, 100:17,587-17,602.
45. Krishnamurti R. On the transition to turbulent convection. Part 2. Transition to time-dependent flow. J. Fluid Mech. 1970, 42:309-320.
46. Labrosse L. Hotspots, mantle plumes and core heat loss. Earth Planet. Sci. Lett. 2002, 199:147-156.
47. Li Z.-X., Zhong S. Supercontinent-superplume coupling, true polar wander and plume mobility: plates dominance in whole -mantle tectonics. Phys. Earth Planet. Int. 2009, 176:143-156.
48. Maggi A., Debayle E., Priestley K., Barruol G. Multi-mode surface waveform tomography of the Pacific Ocean: a closer look at lithospheric cooling. Geophys. J. Int. 2006, 166:1384-1397.
49. Manga M., Weeraratne D. Experimental study of non-Boussinesq Rayleigh-Bénard convection at high Rayleigh and Prandtl numbers. Phys. Fluids 1999, 10:2969-2976.
50. Manga M., Weeraratne D., Morris S.J.S. Boundary-layer thickness and instabilities in Bénard convection of a liquid with a temperature-dependent viscosity. Phys. Fluids 2001, 13:802-805.
51. Masters G., Jordan T.H., Silver P.G., Gilbert F. Aspherical Earth structure from fundamental spheroidal-mode data. Nature 1982, 298:609-613.
52. McNamara A.K., Zhong S. Thermochemical structures beneath Africa and the Pacific Ocean. Nature 2005, 437:1136-1139.
53. Molnar P., Stock J. Relative motions of hotspots in the Pacific, Atlantic and Indian Oceans since late Cretaceous time. Nature 1987, 327:587-591.
54. Montelli R., Nolet G., Dahlen F.A., Masters G., Engdahl E.R., Hung S.-H. Finite-frequency tomography reveals a variety of plumes in the mantle. Science 2004, 303:338-343.
55. Moore W.B. Heat transport in a convecting layer heated from within and below. J. Geophys. Res. 2008, 113:B11407. 10.1029/2006JB004778.
56. Moresi L.N., Solomatov V.S. Numerical investigation of 2D convection with extremely large viscosity variations. Phys. Fluids 1995, 7:2154-2162.
57. Morris S., Canright D.R. A boundary-layer analysis of Benard convection with strongly temperature-dependent viscosity. Phys. Earth Planet. Inter. 1984, 36:355-373.
58. Muller R.D., Sdrolias M., Gaina C., Roest W.R. Age, spreading rates, and spreading asymmetry of the worlds ocean crust. Geochem. Geophys. Geosyst. 2008, 9:Q04006. 10.1029/2007GC001743.
59. Nataf H.C., Richter F.M. Convection experiments in fluids with highly temperature-dependent viscosity and the thermal evolution of the planets. Phys. Earth Planet. Int. 1982, 29:320-329.
60. Ogawa M., Schubert G., Zebib A. Numerical simulations of three-dimensional thermal convection in a fluid with strongly temperature-dependent viscosity. J. Fluid Mech. 1991, 233:299-328.
61. Olson P., Schubert G., Anderson C., Goldman P. Plume formation and lithosphere erosion: a comparison of laboratory and numerical experiments. J. Geophys. Res. 1988, 93:15065-15084.
62. Parmentier E.M., Sotin C. Three-dimensional numerical experiments on thermal convection in a very viscous fluid: Implications for the dynamics of a thermal boundary layer at high Rayleigh number. Phys. Fluids 2000, 12:609-617.
63. Ratcliff J.T., Tackley P.J., Schubert G., Zebib A. Transitions in thermal convection with strongly variable viscosity. Phys. Earth Planet. Inter. 1997, 102:201-212.
64. Ribe N.M. Bending mechanics and mode selection in free subduction: a thin? sheet analysis. Geophys. J. Int. 2010, 180:559-576.
65. Ricard Y., Bercovici D., Schubert G. A two-phase model for compaction and damage, 2. Applications to compaction, deformation and and the role of interfacial surface tension. J. Geophys. Res. 2001, 106:8907-8924.
66. Richter F.M., Nataf H.-C., Daly S.F. Heat transfer and horizontally averaged temperature of convection with large viscosity variations. J. Fluid Mech. 1983, 129:173-192.
67. Ritsema J., van Heijst H., Woodhouse J. Complex shear wave velocity structure imaged beneath Africa and Iceland. Science 1999, 286:1925-1928.
68. Ritsema J., Allen R.M. The elusive mantle plume. Earth Planet. Sci. Lett. 2003, 207:1-12.
69. Ritzwoller M., Shapiro N., Zhong S.-J. Cooling history of the Pacific lithosphere. Earth planet. Sci. Lett. 2004, 226:69-84.
70. Schaeffer N., Manga M. Interaction of rising and sinking mantle plumes. Geophys. Res. Lett. 2001, 21:765-768.
71. Schellart W.P., Freeman J., Stegman D.R., Moresi L., May D. Evolution and diversity of subduction zones controlled by slab width. Nature 2007, 446:308-311.
72. Schellart W.P. Kinematics and flow patterns in deep mantle and upper mantle subduction models: influence of the mantle depth and slab to mantle viscosity ratio. Geochem. Geophys. Geosyst. 2008, 9:Q03014. 10.1029/2007GC001656.
73. Schmalzl J., Breuer M., Hansen U. The influence of the Prandtl number on the style of vigorous thermal convection. Geophys. Astrophys. Fluid Dynamics 2002, 96(5):381-403.
74. Schubert G., Turcotte D.L., Olson P. Mantle Convection in the Earth and Planets 2001, Cambridge University Press, Cambridge, England.
75. Schubert G., Masters G., Olson P., Tackley P. Superplumes or plume clusters?. Phys. Earth Planet. Int. 2004, 146:147-162.
76. Silveira G., Stutzmann E. Anisotropic tomography of the Atlantic Ocean. Phys. Earth Planet. Inter. 2002, 132:237-248.
77. Singh S., Carton H., Chauhan A.S., Androvandi S., Davaille A., Dyment J., Cannat M., Hananto N.D. Extremely thin crust in the Indian Ocean possibly resulting from Plume-Ridge Interaction. Geophys. J. Int. 2011, 184:29-42.
78. Sleep N.H. Hotspots and mantle plumes: some phenomenology. J Geophys. Res. 1990, 95:6715-6736.
79. Solomatov S. Scaling of temperature- and stress-dependent viscosity convection. Phys. Fluids 1995, 7:266-274.
80. Solomatov V.S., Moresi L.N. Scaling of time-dependent stagnant lid convection: application to small-scale convection on Earth and other terrestrial planets. J. Geophys. Res. 2000, 105:21785-21817.
81. Sotin C., Labrosse S. Three-dimensional Thermal convection of an isoviscous, infinite-Prandtl-number fluid heated from within and from below: Applications to heat transfer in planetary mantles. Phys. Earth Planet. Int. 1999, 112:171-190.
82. Stein C., Schmalzl J., Hansen U. The effect of rheological parameters on plate behaviour in a self-consistent model of mantle convection. Phys. Earth Planet. Int. 2004, 142:225-255.
83. Stegman D.R., Farrington R., Capitanio F.A., Schellart W.P. A regime diagram for subduction styles from 3-D numerical models of free subduction. Tectonophysics 2010, 483:29-45.
84. Stemmer K., Harder H., Hansen U. A new method to simulate convection with strongly temperature-dependent and pressure-dependent viscosity in a spherical shell: applications to the Earth's mantle. Phys. Earth Planet Inter. 2006, 157:223-249.
85. Stengel K.C., Oliver D.S., Booker J.R. Onset of convection in a variable-viscosity fluid. J. Fluid Mech. 1982, 120:411-431.
86. Tackley P.J., Stevenson D.J., Glatzmaier G.A., Schubert G. Effects of multiple phase transitions in a 3-dimensional spherical model of convection in Earth's mantle. J. Geophys. Res. 1994, 99:15887-15901.
87. Tackley P.J. Effects of strongly variable viscosity on three-dimensional compressible convection in planetary mantles. J. Geophys. Res. 1996, 101:3311-3332.
88. Tackley P.J. On the ability of phase transitions and viscosity layering to induce long-wavelength heterogeneity in the mantle. Geophys. Res. Lett. 1996, 23:1985-1988.
89. Tackley P.J. Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations 1. Pseudoplastic yielding. Geochem. Geophys. Geosyst. 2000, 1. 2000GC000043.
90. Tackley P.J. Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations 2. Strain weakening and asthenosphere. Geochem. Geophys. Geosyst. 2000, 1. 2000GC000044.
91. Tackley P.J. Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations. Part 2. Strain weakening and asthenosphere. Geochem. Geophys. Geosyst. 2000, 1. 2000GC000043.
92. Tarduno J., Bunge H.P., Sleep N., Hansen U. The bent hawaiian-emperor hotspot track: inheriting the mantle wind. Science 2009, 324:50-53.
93. Thorne M.S., Garnero E.J., Grand S.P. Geographic correlation between hot spots and deep mantle lateral shear-wave velocity gradients. Phys. Earth Planet Int. 2004, 146:47-63.
94. Torsvik T.H., Smethurst M.A., Burke K., Steinberger B. Large igneous provinces generated from the margins of the large low-velocity provinces in the deep mantle. Geophys. J. Int. 2006, 167:1447-1460.
95. Travis B., Olson P., Schubert G. The transition from two-dimensional to three-dimensional planforms in infinite-Prandtl-number thermal convection. J. Fluid Mech. 1990, 216:71-91.
96. Trompert R.A., Hansen U. On the Rayleigh number dependence of convection with a strongly Temperature-dependent viscosity. Phys. Fluids 1998, 10:351-360.
97. Weeraratne D., Manga M. Transitions in the style of mantle convection at high Rayleigh numbers. Earth Planet. Sci. Lett. 1998, 160:563-568.
98. Weinstein S.A., Olson P.L. The proximity of hotspots to convergent and divergent plate boundaries. Geophys. Res. Lett. 1989, 16:433-436.
99. Weinstein S.A., Christensen U.R. Convection planforms in a fluid with a temperature-dependent viscosity beneath a stress-free upper boundary. Geophys. Res. Lett. 1991, 18:2035-2038.
100. White D.B. The planforms and onset of convection with a temperature-dependent viscosity fluid. J. Fluid Mech. 1988, 191:247-286.
101. Wu B., Conrad C.P., Heuret A., Lithgow-Bertelloni A., Lallemand S. Reconciling strong slab pull and weak plate bending: the plate motion constraint on the strength of mantle slabs. Earth Planet. Sci. Lett. 2008, 272:412-421.
102. Yoshida M., Kageyama A. Low-degree mantle convection with strongly temperature- and depth-dependent viscosity in a three-dimensional spherical shell. J. Geophys. Res. 2006, 111:B03412. 10.1029/2005JB003905.
103. Zhong S., McNamara A., Tan E., Moresi L., Gurnis M. A benchmark study on mantle convection in a 3-D spherical shell unsing CitcomS. Geochem. Geophys. Geosyst. 2008, 9. 2008GC002048.