Theoretical seismic models of Mars: The importance of the iron content of the mantle

Planetary and Space Science

Volumn 44, Issue 11 SPEC. ISS., 1996, Pages 1251-1268

  Mocquet, A ^a   Vacher, P ^a   Grasset, O ^a   Sotin, C ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001583540     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0032-0633(96)00086-4     Document Type: Article

References (76)

1. 2+ partitioning among constituent minerals. Phys. Earth Planet. Inter. 19, 31-51, 1979.
2. Akaogi, M., Navrotsky, A., Yagi, T. and Akimoto, S., Pyroxenegarnet transformation: thermochemistry and elasticity of garnet solid solutions and application to a pyrolitic mantle, in High-pressure Research in Mineral Physics (edited by M. H. Manghnami and Y. Syono), pp. 251-260. Terra Scient. Publ. Co. (TERRAPUB), Tokyo/Am. Geophys. Union, Washington, DC, 1987.
3. Anderson, D. L., Internal constitution of Mars. J. Geophys. Res. 77, 789-795, 1972.
4. Anderson, D. L., Temperature and pressure derivatives of elastic constants with application to the mantle. J. Geophys. Res. 93, 4688-4700, 1988.
5. Anderson, D. L. and Bass, J. D., Transition region of the Earth's upper mantle. Nature 320, 321-328, 1986.
6. Anderson, D. L. and Given, J. W., Absorption band Q model for the Earth. J. Geophys. Res. 87, 3893-3904, 1982.
7. Anderson, D. L. and Minster, J. B., The physics of creep and attenuation in the mantle, in Anelasticity in the Earth (edited by F. D. Stacey, M. S. Paterson and A. Nicholas), Geodynamics Series 4, pp. 5-12. Am. Geophys. Union, Washington, DC, 1981.
8. Anderson, D. L., Miller, W. F., Nakamura, Y., Toksöz, M. N., Dainty, A. M., Duennebier, F. K., Lazarewicz, A. R., Kovach, R. L. and Knight, T. C. D., Seismology on Mars. J. Geophys. Res. 82, 4524-4546, 1977.
9. Avanesov, G. A., Bonev, B. I., Kempe, F., Bazilevsky, A. T., Boycheva, V., Chikov, K. N., Danz, M., Dimitrov, D., Duxbury, T., Gromatikov, P., Halman, D., Head, J., Heifetz, V. N., Kolev, V., Kostenko, V. I., Kottsov, V. A., Kratsevtev, V. M., Krasikov, V. A., Krumov, A., Kuzmin, A. A., Losev, K. D., Lumme, K., Mishev, D. N., Möhlmann, D., Muinonen, K., Murav'ev, V. M., Murchie, S., Murray, B., Neumann, W., Paul, L., Petkov, D., Petuchova, I., Pössel, W., Rebel, B., Shkuratov, Yu. A., Simeonov, S., Smith, B., Totev, A., Uzunov, Yu., Fedotov, V. P., Weide, G.-G., Zapfe, H., Zhukov, B. S. and Ziman, Ya. L., Television observation of Phobos. Nature 341, 585-587, 1989.
10. Bass, J. D. and Anderson, D. L., Composition of the upper mantle: geophysical tests of two petrological models. Geophys. Res. Lett. 11, 237-240, 1984.
11. Bills, B. G., The moment of inertia of Mars. Geophys. Res. Lett. 16, 385-389, 1989.
12. Bills, B. G., Geodetic constraints on the composition of Mars. J. Geophys. Res. 95, 14,131-14,136, 1990.
13. Bills, B. G. and Ferrari, A. J., Mars topography harmonics and geophysical implications. J. Geophys. Res. 83, 3497-3508, 1978.
14. Bills, B. G. and Rubincam, D. P., Constraints on density models from radial moments : applications to Earth, Moon, and Mars. J. Geophys. Res. 100, 26,305-26,315, 1995.
15. Boehler, R., Melting of the Fe-FeO and the Fe-FeS systems at high pressure: constraints on core temperature. Earth Planet. Sci. Lett. 111, 217-227, 1992.
16. Boehler, R., Von Bargen, N. and Chopelas, A., Melting, thermal expansion, and phase transitions of iron at high pressures. J. Geophys. Res. 95, 21731-21736, 1990.
17. Born, G. H., Mars physical parameters as determined from Mariner 9 observations of the natural satellites and Doppler tracking. J. Geophys. Res. 79, 4837-4844, 1974.
18. Breuer, D., Spohn, T. and Wüllner, U., Mantle differentiation and the crustal dichotomy of Mars. Planet. Space Sci. 41, 269-283, 1993.
19. Burns, J. A., Orbital evolution, in Planetary Satellites (edited by J. A. Burns), pp. 113-156. University of Arizona Press, Tucson, Arizona, 1977.
20. Burns, J. A., The evolution of satellite orbits, in Satellites (edited by J. A. Burns and M. S. Matthews), pp 117-158. University of Arizona Press, Tucson, Arizona, 1986.
21. Burns, J. A., Contradictory clues as to the origin of the Martian moons, in Mars (edited by H. H. Kieffer. B. M. Jakosky, C. W. Synder and M. S. Matthews), pp. 1283-1301. University of Arizona Press, Tucson, Arizona, 1992.
22. Busse, F. H., Fundamentals of thermal convection, in Mantle Convection, Plate Tectonics and Global Dynamics, Vol. 4, The Fluid Mechanics of Astrophysics and Geophysics (edited by W. R. Peltier). pp. 23-96. Gordon & Breach, New York, 1989.
23. Chapron-Touzé, M., Orbits of the Martian satellites from ESAPHO and ESADE theories. Astron. Astrophys. 240, 159-172, 1990.
24. Davaille, A. and Jaupart, C., Onset of thermal convection in fluids with temperature-dependent viscosity: application to the oceanic mantle. J. Geophys. Res. 99, 19853-19866, 1994.
25. Davies, G. F. and Dziewonski, A. M., Homogeneity and constitution of the Earth's lower mantle and outer core. Phys. Earth Planet. Inter. 10, 336-343, 1975.
26. Dreibus, G. and Wanke, H., Mars, a volatile-rich planet. Meteoritics 20, 367-381, 1985.
27. Duffy, T. S. and Ahrens, T. J., Lateral variations in lower mantle seismic velocity, in High-pressure Research: Application to Earth and Planetary Sciences (edited by Y. Syono and M. H. Manghnami), pp. 197-205. Terra Scient. Publ. Co. (TERRAPUB), Tokyo/Am. Geophys. Union, Washington, DC, 1992.
28. Duffy, T. S. and Anderson, D. L., Seismic velocities in mantle minerals and the mineralogy of the upper mantle. J. Geophys. Res. 94, 1895-1912, 1989.
29. Dziewonski, A. M. and Anderson, D. L., Preliminary reference Earth model. Phys. Earth Planet. Inter. 25, 297-356, 1981.
30. Fei, Y., Prewitt, C. T., Mao, H. and Bertka, C. M., Structure and density of FeS at high pressure and high temperature and the internal structure of Mars. Science 268, 1892-1894, 1995.
31. Hashin, Z. and Shtrikman, S., A variational approach to the theory of the elastic behaviour of multiphase materials. J. Mech. Phys. Solids 11, 127-140, 1963.
32. Irifune, T., An experimental investigation of the pyroxene-garnet transformation in a pyrolite composition and its bearing on the constitution of the mantle. Phys. Earth Planet. Inter. 45, 324-336, 1987.
33. Isaak, D. G., High temperature elasticity of iron-bearing olivines. J. Geophys. Res. 97, 1871-1885, 1992.
34. Isaak, D. G., Anderson, O. L. and Goto, T., Elasticity of single-crystal forsterite to 1700 K. J. Geophys. Res. 94, 5895-5906, 1989.
35. Ita, J. and Stixrude, L., Petrology, elasticity, and composition of the mantle transition zone. J. Geophys. Res. 97, 6849-6866, 1992.
36. Ito, E. and Takahashi, E., Ultrahigh-pressure phase transformations and the constitution of the deep mantle, in High-pressure Research in Mineral Physics (edited by M. H. Manghnami and Y. Syono), pp. 221-229. Terra Scient. Publ. Co. (TERRAPUB), Tokyo/Am. Geophys. Union, Washington, DC, 1987.
37. Jeanloz, R. and Thompson, A. B., Phase transition and mantle discontinuities. Rev. Geophys. Space Phys. 21, 51-74, 1983.
38. Johnston, D. H. and Toksöz, M. N., Internal structure and properties of Mars. Icarus 32, 73-84, 1977.
39. Johnston, D. H., McGetchin, R. T. and Toksöz, M. N., Thermal state and internal structure of Mars. J. Geophys. Res. 79, 3959-3971, 1974.
40. 4 at high pressures and temperatures: precise determination of stabilities of olivine, modified spinel, and spinel. J. Geophys. Res. 94, 15,663-15,670, 1989.
41. Kaula, W. M. and Asimow, P. D., Tests of random density models of terrestrial planets. Geophys. Res. Lett. 18, 909-912, 1991.
42. Kaula, W. M., Sleep, N. H. and Phillips, R. J., More about the moment-of-inertia of Mars. J. Geophys. Res. 16, 1333-1336, 1989.
43. Kennett, B. L. N. and Engdahl, E. R., Travellings for global earthquake location and phase identification. Geophys. J. Int. 105, 429-465, 1991.
44. Lambeck, K., On the orbital evolution of the Martian satellites. J. Geophys. Res. 84, 5651-5658, 1979.
45. Laul, J. C., Smith, M. R., Wanke, H., Jagoutz, E., Dreibus, G., Palme, H., Spettel, B., Burghele, A., Lipschutz, M. E. and Verkouterne, R. M., Chemical systematics of the Shergotty meteorite and the composition of its parent body (Mars). Geochim. Cosmochim. Acta 50, 909-926, 1986.
46. Lewis, J. S., Metal/silicate fractionation in the solar system. Earth Planet. Sci. Lett. 15, 286, 1972.
47. Lognonné, P. and Mosser, B., Planetary seismology. Surv. Geophys. 14, 239-302, 1993.
48. Longhi, J., Knittle, E. and Holloway, J. R., The bulk composition, mineralogy and internal structure of Mars, in Mars (edited by H. H. Kieffer, B. M. Jakosky, C. W. Snyder and M. S. Matthews), pp. 184-208. University of Arizona Press, Tucson, Arizona, 1992.
49. Machetel, P., Convection dans le manteau terrestre, étude en géométrie sphérique, Thèse Univ. Toulouse, France, p. 156, 1986.
50. McSween Jr, H. Y., SNC meteorites : clues to Martian petrologic evolution? Rev. Geophys. Space Phys. 23, 391-416, 1985.
51. Mocquet, A., Grasset, O., Sotin, C. and Vacher, P., Modèle sismique du manteau de Mars, Coll. Nat. Plan. I.N.S.U., Toulouse, France, Vol. 2, S17-7, pp. 1-14, 1994.
52. Mocquet, A., Vacher, P. and Sotin, C., Iron content of the Martian mantle: the potential of seismological investigations, Lunar Planet. Sci. Conf. XXVII, Houston, Texas, pp. 895-896, 1996.
53. Ohtani, E. and Kamaya, N., The geochemical model of Mars: an estimation from the high pressure experiments. Geophys. Res. Lett. 19, 2239-2242, 1992.
54. Okal, E. and Anderson, D. J., Theoretical models for Mars and their seismic properties. Icarus 33, 514-528, 1978.
55. Pollack, J. B., Phobos and Deimos, in Planetary Satellites (edited by J. A. Burns), pp. 319-345. University of Arizona Press, Tucson, Arizona, 1977.
56. Reasenberg, R. D., The moment of inertia and isostasy of Mars. J. Geophys. Res. 82, 369-375, 1977.
57. 4 polymorphs and constraints on the composition of the transition zone of the Earth's mantle, in High-pressure Research: Application to Earth and Planetary Sciences (edited by Y. Syono and M. H. Manghnami), pp. 167-182. Terra Scient. Publ. Co. (TERRAPUB), Tokyo/Am. Geophys. Union, Washington, DC, 1992.
58. Ringwood, A. E., Composition and Petrology of the Earth's Mantle, p. 618. McGraw-Hill, New York, 1975.
59. Ringwood, A. E., Origin of the Earth and Moon, p. 295. Springer, New York, 1979.
60. Schubert, G. and Spohn, T., Thermal history of Mars and the sulfur content of its core. J. Geophys. Res. 95, 14,095-14,104, 1990.
61. Schubert, G., Solomon, S. C., Turcotte, D. L., Drake, M. J. and Sleep, N. H., Origin and thermal evolution of Mars, in Mars (edited by H. H. Kieffer, B. M. Jakosky, C. W. Snyder and M. S. Matthews), pp. 147-183. University of Arizona Press, Tucson, Arizona, 1992.
62. Sharpless, B. P., Secular accelerations in the longitudes of the satellites of Mars. Astron. J. 51, 185-195, 1945.
63. Smith, C. J. and Born, G. H., Secular acceleration of Phobos and Q of Mars. Icarus 27, 51-53, 1976.
64. Sotin, C., Labrosse, S. and Mocquet, A., Nusselt Rayleigh relationship for a fluid heated from below and from within: application to the cooling rate of the Martian core, Lunar Planet. Sci. Conf. XXVII, Houston, Texas, pp. 1247-1248, 1996.
65. Stevenson, D. J., Spohn, T. and Schubert, G., Magnetism and thermal evolution of the terrestrial planets. Icarus 54, 466-489, 1983.
66. Stuben, K. and Trottenberg, U., Multigrid methods: fundamental algorithms, model problem analysis and applications. Lecture Notes Appl. Mech. 960, 1-176, 1982.
67. Toksöz, M. N., Tsui, A. T. and Johnston, D. J., Thermal evolution of terrestrial planets. Moon and Planets 18, 281-320, 1978.
68. Turcotte, D. L. and Schubert, G., Geodynamics. Wiley, New York, 1982.
69. Vacher, P., Mocquet, A. and Sotin, C., Comparisons between tomographic structures and models of convection in the upper mantle. Geophys. J. Int. 124, 45-56, 1996.
70. Ward, W. R., Burns, J. A. and Toon, O. B., Past obliquity oscillations of Mars: the role of the Tharsis uplift. J. Geophys. Res. 84, 243-259, 1979.
71. Watt, J. P., Davies, G. F. and O'Connell, R. J., The elastic properties of composite materials. Rev. Geophys. Space Phys. 14, 541-563, 1976.
72. Weidner, D. J., A mineral physics test of a pyrolite mantle. Geophys. Res. Lett. 12, 417-420, 1985.
73. Weidner, D. J. and Ito, E., Mineral physics constraints on a uniform mantle composition, in High-pressure Research in Mineral Physics (edited by M. H. Manghnami and Y. Syono), pp. 439-446. Terra Scient. Publ. Co. (TERRAPUB), Tokyo/Am. Geophys. Union, Washington, DC, 1987.
74. Weinstein, S. A., The effects of a deep mantle endothermic phase change on the structure of thermal convection in silicate planets. J. Geophys. Res. 100, 11,719-11,728, 1995.
75. Zebib, A., Schubert, G. and Strauss, J. M., Infinite Prandtl number convection in a spherical shell. J. Fluid Mech. 97, 257-277, 1980.
76. Zhou, H., Breuer, D., Yuen, D. A. and Spohn, T., Phase transitions on the Martian mantle and the generation of mega-plumes. Geophys. Res. Lett. 22, 1945-1948, 1995.