Spherical, axisymmetric convection: Applications to Mercury

Physics

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5430 Interiors (8147), 5475 Tectonics (8149), 6235 Mercury, 8147 Planetary Interiors (5430, 5724), 8149 Planetary Tectonics (5475)

Scientific paper

Mercury is the densest of the four inner planets and contains a large, iron core that may be up to 75% the size of the planet (Siegfried and Solomon, 1974). The outer shell of the planet is most likely a silicate crust 100-300 km thick and it is believed that Mercury currently has no tectonic activity. Three major observations support this hypothesis: (1) there are no surface expressions supporting the existence of mantle plumes or plate tectonics, implying that the heavily cratered surface of Mercury has changed very little since the period of heavy bombardment; (2) large impact basins, in particular Caloris, have not been greatly altered and lack concentric graben outside their main ring (Strom et al., 1975) suggesting that subsidence of the basins has not taken place, consistent with an early planetary compressive stress field suppressing the development of tensional surface features (Cordell and Strom, 1977); (3) the global absence of extensional features except for a small amount of localized regions within the Caloris basin and the inter-crater plains (Trask and Guest, 1975). The lack of surface tectonic features make it difficult to determine the thermal evolution of Mercury. Normally, when core differentiation occurs in a homogeneous planet, there is a large increase in planetary volume (Solomon, 1976) and extensional features resulting from differentiation are often observed at the surface. However, this is not the case for Mercury. It is more likely that Mercury cooled very rapidly and had completely differentiated prior to the end of the period of extensive bombardment (Trask and Guest, 1975). However, in order to preserve the dynamo explanation for Mercury's magnetic field (Ness et al., 1975), deep mantle heat sources are needed to keep the core largely molten, protecting it against heat loss via mantle convection (Cassen et al., 1976). We present a series of axisymmetric convection calculations with an olivine rheology and thermal history calculations to address the thermal state of Mercury. In particular, we seek to address the rapid early cooling needed to achieve the compressive stress state and the need for high core temperatures today to maintain a dynamo. Preliminary results suggest that convection in the thin mantle of Mercury develops a long-wavelength convection pattern that may aid in the explanation of the more common broad, compressional features and, less common, extensional features observed at the surface. Our calculations thus far, which are purely isoviscous, produce β = 0.26 in the Ra ~ Nuβ relationship, providing us insight on the strength and thickness of the Mercurian lithosphere as well as present day mantle temperatures. By adding thermal history modeling to our calculations and incorporating a non-Newtonian, temperature-dependent rheology we hope to achieve more realistic results while resolving the inconsistencies in the thermal history of Mercury. References: Cassen, P. et al., Icarus, 28, 501-508, 1976. Cordell, B.M. and R.G. Strom, Phys. Earth Planet. Int., 15, 146-155, 1977. Ness, N.F. et al., J. Geophys. Res., 80, 2708-2716, 1975. Siegfried, R.W. and S.C. Solomon, Icarus, 23, 192-205, 1974. Solomon, S.C., Icarus, 28, 509-522, 1976. Strom, R.G. et al., J. Geophys. Res., 80, 2478-2507, 1975. Trask, N.J. and J.E. Guest, J. Geophys. Res., 80, 2461-2477, 1975.

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