Time-dependent thermal convection, mantle differentiation and continental-crust growth

Geophysical Journal International

Volumn 130, Issue 2, 1997, Pages 303-325

  Walzer, Uwe ^a   Hendel, Roland ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Continental evolution; Mantle convection

Indexed keywords

CONVECTION; CRUSTAL GROWTH; DIFFERENTIATION; ESTIMATED CRUST; MANTLE; THERMAL EVOLUTION;

EID: 0031445840     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1997.tb05649.x     Document Type: Article

References (118)

1. Abbott, D. & Mooney, W., 1995. The crustal and geochemical evolution of the continental crust: Support for the oceanic plateau model of continental growth, Rev. Geophys., Suppl., US National Report to IUGG, Paper no. 95RG00551, 231-242.
2. Agee, C.B., 1990. Melting of Allende at 26 GPa: a new look at mantle differentiation and core formation, Nature, 346, 834-837.
3. 3 perovskite and negative pressure-temperature slopes for perovskite-forming reactions, Geophys. Res. Lett., 20, 1839-1842.
4. Allégre, C.J. & Lewin, E., 1989. Chemical structure and history of the Earth: evidence from global non-linear inversion of isotopic data in a three-box model, Earth planet. Sci. Lett., 96, 61-88.
5. Anders, E. & Grevesse, N., 1989. Abundances of elements: Meteoritic and solar, Geochim. Cosmochim. Acta, 53, 197-214.
6. Arculus, R.J., Holmes, R.D., Powett, R. & Righter, K., 1990. Metalsilicate equilibria and core formation, in Origin of the Earth, pp. 251-271, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
7. Armstrong, R.L., 1981. Radiogenic isotopes: the case for crustal recycling on a near-steady-state no-continental-growth Earth, Phil. Trans. R. Soc. Lond. A, 301, 443-472.
8. Benz, W. & Cameron, A.G.W., 1990. Terrestrial effects of the giant impact, in Origin of the Earth, pp. 61-67, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
9. Bickle, M.J., 1978. Heat loss from the Earth: A constraint on Archaean tectonics from the relation between geothermal gradients and the rate of plate production, Earth planet. Sci. Lett., 40, 301-315.
10. Biémont, E., Baudoux, M., Kurucz, R.L., Ansbacher, W. & Pinnington, E. H., 1991. The solar abundance of iron: A 'final' word! Astron. Astrophys., 249, 539-544.
11. Billington, S., 1978. The morphology and tectonics of subducted lithosphere in the Tonga-Fiji-Kermadec region from seismicity and focal mechanism solutions, PhD thesis, Cornell University, Ithaca, NY.
12. Boss, AP., 1990. 3-D solar nebula models: Implications for Earth origin, in Origin of the Earth, pp. 3-15, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
13. Boussinesq, J., 1903. Théorie Analytique de la Chaleur mise en Harmonie avec la Thermodynamique et avec la Théorie Mécanique de la Lumière, Tome II, pp. 157-176, Gauthier-Villars, Paris.
14. Bunge, H.P., Richards, M.A. & Baumgardner, J.R., 1996. A sensitivity study of 3-D spherical mantle convection at 108 Rayleigh number: Effects of depth-dependent viscosity, heating mode and an endothermic phase change, submitted.
15. Burke, K. & Kidd, W.S.F., 1978. Were Archaean continental geothermal gradients much steeper than those of today?, Nature, 727, 240-241.
16. 86Sr throughout Phanerozoic time, Geology, 10, 516-519.
17. Cameron, A.G.W., 1978. Physics of the primitive solar accretion disk, Moon Planets, 18, 5-40.
18. Cameron, A.G.W., 1988. Origin of the solar system, Ann. Rev. Astron. Astrophys., 26, 441-472.
19. Cameron, A.G.W. & Ward, W.R., 1976. The origin of the Moon, Lunar Sci., 7, 120-130.
20. Campbell, I.H. & Griffiths, R.W., 1992. The changing nature of mantle hotspots through time: Implications of the chemical evolution of the mantle, J. Geol., 92, 497-523.
21. Christensen, U.R., 1984. Heat transport by variable viscosity convection and implications for the Earth's thermal evolution, Phys. Earth planet. Inter., 35, 264-282.
22. Christensen, U.R., 1985. Thermal evolution models for the Earth, J. geophys. Res., 90, 2995-3007.
23. Christensen, U.R. & Hofmann, A.W., 1994. Segregation of subducted oceanic crust in the convecting mantle, J. geophys. Res., 99, 19 867-19 884.
24. Christensen, U.R. & Yuen, D.A., 1989. Time-dependent convection with non-Newtonian viscosity, J. geophys. Res., 94, 814-820.
25. Claypool, G.E., Holser, W.T., Kaplan, I.R., Sakai, H. & Zak, I., 1980. The age curves of sulfur and oxygen isotopes in marine sulfate and their mutual interpretation, Chem. Geol., 28, 199-259.
26. Coffin, M.F. & Eldholm, O., 1994. Large igneous provinces: Crustal structure, dimensions, and external consequences, Rev. Geophys. 32, 1-36.
27. Crowley, T.J., 1983. The geologic record of climatic change, Rev. Geophys. Space Phys., 21, 828-877.
28. Dasch, E.J., Ryder, G. & Nyquist, L.E., 1988. Chronology and complexity of early lunar crust, Tectonophysics, 161, 157-164.
29. DePaolo, D.J., 1988. Neodymium Isotope Geochemistry, SpringerVerlag, Berlin.
30. Dickinson, W.R. & Luth, W.C., 1971. A model for plate tectonic evolution of mantle layers, Science, 174, 400-404.
31. Gaffey, M.J., 1990. Thermal history of the asteroid belt: Implications for accretion of the terrestrial planets, in Origin of the Earth, pp. 17-28, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
32. Galer, S.J.G., Goldstein, S.L. & O'Nions, R.K., 1989. Limits on chemical and convective isolation in the Earth's interior, Chem. Geol., 75, 257-290.
33. Garrels, R.M. & MacKenzie, F.T., 1972. A quantitative model for the sedimentary rock cycle, Mar. Chem., 1, 27-41.
34. Gastil, G., 1960. The distribution of mineral dates in time and space, Am. J. Sci., 258, 1-35.
35. Giardini, D. & Woodhouse, J.H., 1984. Deep seismicity and modes of deformation in Tonga subduction zone, Nature, 307, 505-509.
36. 4He reservoir, University of Minnesota Supercomputer Institute Research Report UMSI 96/11, Earth planet. Sci. Lett., submitted.
37. Hansen, U. & Ebel, A., 1988. Time dependent thermal convection - a possible explanation for a multiscale flow in the Earth's mantle, Geophys. J., 94, 181-191.
38. Hart, S.R., 1988. Heterogeneous mantle domains: signatures and mixing chronologies, Earth planet. Sci. Lett., 90, 273-296.
39. Hart, S. & Zindler, A., 1989. Constraints on the nature and development of chemical heterogeneities in the mantle, in Mantle Convection, Plate Tectonics and Global Dynamics, pp. 261-387, ed. Peltier, W.R., Gordon & Breach, New York, NY.
40. 3 at lower mantle conditions and its geophysical implications, J. geophys. Res., 92, 11 437-11 444.
41. Hofmann, A.W., 1988. Chemical differentiation of the Earth: the relationship between mantle, continental crust, and oceanic crust, Earth planet. Sci. Lett., 90, 297-314.
42. Holweger, H., Heise, C. & Kock, M., 1990. The abundance of iron in the Sun derived from the photospheric Fe II lines, Astron. Astrophys., 232, 510-515.
43. Honda, S., Balachandar, S., Yuen, D.A. & Reuteler, D., 1993. Three-dimensional instabilities of mantle convection with multiple phase transitions, Science, 259, 1308-1311.
44. Ida, S. & Makino, J., 1993. Scattering of planetesimals by a protoplanet: Slowing down of runaway growth, Icarus, 106, 210-227.
45. Isacks, B. & Molnar, P., 1969. Mantle earthquake mechanisms and sinking of the lithosphere, Nature, 223, 1121-1124.
46. Ita, J. & King, S.D., 1994. Sensitivity of convection with an endothermic phase change to the form of governing equations, initial conditions, boundary conditions, and equation of state, J. geophys. Res., 99, 15 919-15 938.
47. Ito, E. & Takahashi, E., 1987. Melting of peridotite at uppermost lower-mantle conditions, Nature, 328, 514-517.
48. Jacobsen, S.B., 1988. Isotopic and chemical constraints on mantle-crust evolution, Geochim. Cosmochim. Acta, 52, 1341-1350.
49. Jacobsen, S.B. & Wasserburg, G.J., 1979. The mean age of mantle and crustal reservoirs, J. geophys. Res., 84, 7411-7427.
50. Jagoutz, E. et al. 1979. The abundances of major, minor, and trace elements in the Earth's mantle as derived from primitive ultramafic nodules, Proc. Lunar Planet. Sci. 10th Conf., 2031-2050.
51. Jarvis, G.T. & Peltier, W.R., 1989. Convection models and geophysical observations, in Mantle Convection, Plate Tectonics and Global Dynamics, pp. 479-593, ed. Peltier, W.R., Gordon & Breach, New York, NY.
52. Jochum, K.P., Hofmann, A.W., Seufert, M. & White, W.M., 1988. The composition of mid-ocean ridge basalt, manuscript.
53. Karato, S.-I., 1989. Defects and plastic deformation in olivine, in Rheology of Solids and of the Earth, pp. 176-208, eds Karato, S.-I. & Toriumi, M., Oxford University Press, Oxford.
54. Kargel, J.S. & Lewis, J.S., 1993. The composition and early evolution of Earth, Icarus 105, 1-25.
55. Kerridge, J.F., 1993. What can meteorites tell us about nebular conditions and processes during planetesimal accretion?, Icarus, 106, 135-150.
56. 3 perovskite to 96 GPa: evidence for a structural transition in lower mantle melts, Geophys. Res. Lett., 16, 421-424.
57. Kohlstedt, D.L. & Goetze, C., 1974. Low stress high temperature creep of olivine single crystals, J. geophys. Res., 85, 3122-3130.
58. Kröner, A., 1985. Evolution of the Archaean continental crust, Ann. Rev. Earth planet. Sci., 13, 49-74.
59. Leitch, A.M. & Yuen, D.A., 1989. Internal heating and thermal constraints on the mantle, Geophys. Res. Lett., 16, 1407-1410.
60. Machetel, P. & Yuen, D.A., 1989. Penetrative convective flows induced by internal heating and mantle compressibility, J. geophys. Res., 94, 10 609-10 626.
61. McKenzie, D. & Bickle, M.H., 1988. The volume and composition of melt generated by extension of the lithosphere, J. Petrol., 29, 625-679.
62. McKenzie, D.P. & Weiss, N.O., 1975. Geophys. J. R. astr. Soc., 42, 131.
63. Meissner, R., 1986. The Continental Crust, a Geophysical Approach, Academic Press, Orlando, FL.
64. Melosh, H.J., 1990. Giant impacts and the thermal state of the early Earth, in Origin of the Earth, pp.69-83, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
65. Mizuno, H., 1980. Formation of the giant planets, Prog. Theor. Phys., 64, 544-557.
66. Mizuno, H. & Nakazawa, K., 1988. Primordial atmosphere surrounding a protoplanet and formation of jovian planets, Prog. Theor. Phys. Suppl., 95, 266-273.
67. Nataf, H.C. & Richter, F.M., 1982. Convection experiments in fluids with highly temperature dependent viscosity and the thermal evolution of the Earth, Phys. Earth planet. Inter., 29, 320-329.
68. Newsom, H.E. & Taylor, S.R., 1989. Geochemical implications of the formation of the Moon by a single giant impact, Nature, 338, 29-34.
69. Oberbeck, A., 1879. Über die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperatur-differenzen, Ann. Physik Chemie, Neue Folge, 7, 271-292.
70. Oberbeck, A., 1880, Strömungen von Flüssigkeiten infolge ungleicher Temperaturen innerhalb derselben, Ann. Phys. Chem., Neue Folge, 11, 489-495.
71. O'Nions, R.K., Evensen, N.M. & Hamilton, P.J., 1979. Geochemical modeling of mantle differentiation and crustal growth, J. geophys. Res., 84, 6091-6101.
72. Ogawa, M., 1993. A numerical model of a coupled magmatism-mantle convection system in Venus and the Earth's mantle beneath Archaean continental crusts, Icarus, 102, 40-61.
73. Peltier, W.R. & Solheim, L.P., 1992. Mantle phase transitions, layered chaotic convection, and the viscosity of the deep mantle, in Chaotic Processes in the Geological Sciences, pp. 111-139, ed. Yuen, A., Springer-Verlag, New York, NY.
74. Pollack, H.N., Hurter, S.J. & Johnson, J.R., 1993. Heat flow from the Earth's interior: Analysis of the global data set, Rev. Geophys., 31, 267-280.
75. Quareni, F. & Yuen, D.A, 1988. Mean-field methods in mantle convection, in Mathematical Geophysics, pp. 227-264, eds Vlaar, N.J., Nolet, G., Wortel, M.J.R. & Cloeting, S.A.P.L., D. Reidel, Dordrecht.
76. Quareni, F. & Mulargia, F., 1989. The Grüneisen parameter and adiabatic gradient in the Earth's interior, Phys. Earth planet. Inter., 55, 221-233.
77. Rampino, M.R. & Caldeira, K., 1993. Major episodes of geologic change: correlations, time structure and possible causes, Earth planet. Sci. Lett., 114, 215-227.
78. Ranalli, G., 1991. The microphysical approach to mantle rheology, in Glacial Isostasy, Sea Level and Mantle Rheology, pp. 343-378, eds Sabadini, R., Lambeck, K. & Boschi, E., Kluwer Academic, Dordrecht.
79. Reymer, A. & Schubert, G., 1984. Phanerozoic addition rates to the continental crust and crustal growth, Tectonics, 3, 63-77.
80. Ricard, Y., Spada, G. & Sabadini, R., 1993. Polar wandering of a dynamic earth, Geophys. J. Int., 113, 284-298.
81. Ringwood, A.E., 1975. Composition and Petrology of the Earth's Mantle, McGraw-Hill, New York, NY.
82. Ringwood, A. E., 1982. Phase transformations and differentiation in subducted lithosphere: Implications for mantle dynamics, basalt petrogenesis, and crustal evolution, J. Geol., 90, 611-643.
83. Ringwood, A.E., 1990. Earliest history of the Earth-Moon system, in Origin of the Earth, pp. 101-134, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
84. Safronov, V.S., 1962. Velocity dispersion in rotating systems of gravitating bodies with inelastic collisions (in Russian), Voprosy Kosmogonii, 8, 168-179.
85. Safronov, V.S., 1969. Evolution of the protoplanetary cloud and formation of the Earth and planets, Nauka, Moscow. [Transl. 1972 NASA TT F-677.]
86. Safronov, V.S., 1991. Kuiper prize lecture: Some problems in the formation of the planets, Icarus, 94, 260-271.
87. Schmeling, H. & Bussod, G.Y., 1996. Variable viscosity convection and partial melting in the continental asthenosphere, J. geophys. Res., 101, 5411-5423.
88. Schmeling, H. & Marquart, G., 1993. Mantle flow and the evolution of the lithosphere, Phys. Earth planet. Inter., 79, 241-267.
89. Schmidt, O.J., 1957. Four lectures on the theory of the origin of the Earth (in Russian), Izd. 3, dop. M., Izd-vo AN SSSR.
90. Schubert, G., 1979. Subsolidus convection in the mantles of terrestrial plants, Ann. Rev. Earth planet. Sci., 7, 289-342.
91. Schubert, G. & Young, R. E., 1976. Cooling the Earth by whole mantle subsolidus convection: A constraint on the viscosity of the lower mantle, Tectonophysics, 35, 201-214.
92. Schubert, G., Cassen, P. & Young, R. E., 1979. Subsolidus convective cooling histories of the terrestrial planets, Icarus, 38, 192-211.
93. Şengör, A.M.C., 1990. Plate tectonics and orogenic research after 25 years: a Tethyan perspective, Earth Science Rev., 27, 1-201.
94. Spada, G., Sabadini, R. & Yuen, D.A., 1991. The dynamical influences of a hard transition zone on post-glacial uplifts and rotational signatures, in Glacial Isostasy, Sea-Level and Mantle Rheology, pp. 121-141, eds Sabadini, R., Lambeck, K. & Boschi, E., Kluwer Academic, Dordrecht.
95. Spohn, T. & Breuer, D., 1993. Mantle differentiation through continental crust growth and recycling and the thermal evolution of the Earth, in Evolution of the Earth and Planets, pp. 55-71, eds Takahashi, E., Jeanloz, R. & Rubie, D., Geophysical Monograph 74, IUGG Volume 14, AGU.
96. Stevenson, D.J., 1990. Fluid dynamics of core formation, in Origin of the Earth, pp. 231-249, eds Newsom, H.E. & Jones, J.H., Oxford University Press, New York, NY.
97. Stille, H., 1944. Geotektonische Gliederung der Erdgeschichte, Abh. Preuss. Akad. Wiss., Math. Naturwiss. Kl., 3, 1-80.
98. Tackley, P.J., Stevenson, D.J., Glatzmaier, G.A. & Schubert, G., 1993. Effects of an endothermic phase transition at 670 km depth in a spherical model of convection in the Earth's mantle, Nature, 361, 699-704.
99. Tarling, D.H., 1978. The geological-geophysical framework of ice ages, in Climatic Change, pp. 3-24, ed Gribbin, J., Cambridge University Press, New York, NY.
100. Taylor, S.R., 1992. Solar System Evolution. A New Perspective, Cambridge University Press, Cambridge.
101. Taylor, S.R. & Norman, M.D., 1990. Accretion of differentiated planetesimals to the Earth, in Origin of the Earth, pp. 29-43, eds Newsom, H.E. & Jones, J.H., Oxford University Press, Oxford.
102. Titley, S.R., 1993. Relationship of stratabound ores with tectonic cycles of the Phanerozoic and Proterozoic, Precambrian Res., 61, 295-322.
103. Tozer, D.C., 1965. Heat transfer and convection currents, Phil. Trans. R. Soc. Lond, A, 258, 252-271.
104. Tozer, D.C., 1972. The present thermal state of the terrestrial planets, Phys. Earth planet. Inter., 6, 182-197.
105. Van Schmus, W.R., 1989. Radioactivity properties of minerals and rocks, in Practical Handbook of Physical Properties of Rocks and Minerals, pp. 583-596, ed Carmichael, R. S., CRC Press, Boca Raton, Ann Arbor, Boston, MA.
106. 32S secular variations, Geochim. Cosmochim. Acta, 44, 579-587.
107. 86Sr in late Proterozoic carbonates: Evidence for a 'mantle' event at 900 Myr ago, Geochim. Cosmochim. Acta, 47, 295-302.
108. Walzer, U., 1981. Untersuchung der Konvektion im Erdinneren und dafür wichtiger Materialparameter unter hohem Druck, Veröff. Zentralinst. Physik d. Erde, 75, 1-256.
109. Wänke, H., Dreibus, G. & Jagoutz, E., 1984. Mantle chemistry and accretion history of the Earth, in Archaean Geochemistry, pp. 1-24, eds Kröner, A., Hanson, G.N. & Goodwind, A.M., Springer-Verlag, Berlin.
110. Warren, P.H., 1989. Growth of the continental crust: A planetary mantle perspective, Tectonophysics, 161, 165-199.
111. Weinstein, S.A., Olson, P.L. & Yuen, D.A., 1989. Time-dependent large aspect-ratio thermal convection in the Earth's mantle, Geophys. Astrophys. Fluid Dyn., 47, 157-197.
112. Wells, P.R.A., 1976. Late Archaean metamorphism in the Buksef jorden region, S. W. Greenland, Contrib. Mineral. Petrol., 56, 229-242.
113. Wetherill, G.W., 1990. Formation of the Earth, Ann. Rev. Earth planet. Sci., 18, 205-256.
114. Wetherill, G.W. & Stewart, G.R., 1993. Formation of planetary embryos: Effects of fragmentation, low relative velocity, and independent variation of eccentricity and inclination, Icarus, 106, 190-209.
115. Windley, B.F., 1984. The Evolving Continents, 2nd edn, Wiley, New York, NY.
116. Worsley, T.R., Nance, D. & Moody, J.B., 1984. Global tectonics and eustasy for the past 2 billion years. Mar. Geol, 58, 373-400.
117. Wuchterl, G., 1989. Zur Entstehlung der Gasplaneten. Kugelsymmetrische Gasströmungen auf Protoplaneten, Diss, Univ. Wien, Institut für Astronomie, 1-156.
118. Zhao, W., Yuen, D.A. & Honda, S., 1992. Multible phase transitions and the style of mantle convection, Phys. Earth planet. Inter., 72, 185-210.