Computer Science – Numerical Analysis
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jgr....83.6005w&link_type=abstract
Journal of Geophysical Research, vol. 83, Dec. 10, 1978, p. 6005-6013. Research supported by Harvard University;
Computer Science
Numerical Analysis
17
Igneous Rocks, Liquid-Solid Interfaces, Melting, Meteoritic Composition, Petrology, Planetary Structure, Accumulations, Crystallization, Magma, Numerical Analysis, Olivine, Rheology, Stokes Law (Fluid Mechanics)
Scientific paper
Crystal sinking to form cumulates and melt percolation toward segregation in magma pools can be treated with modifications of Stokes' and Darcy's laws, respectively. The velocity of crystals and melt depends, among other things, on the force of gravity (g) driving the separations and the cooling time of the environment. The increase of g promotes more efficient differentiation, whereas the increase of cooling rate limits the extent to which crystals and liquid can separate. The rate at which separation occurs is strongly dependent on the proportion of liquid that is present. The observation of cumulates and segregated melts among the eucrite meteorites is used as a basis for calculating the g (and planet size) required to perform these differentiations. The eucrite parent body was probably at least 10-100 km in radius. The earth's low velocity zone (LVZ) is shown to be unstable with respect to draining itself of excess melt if the melt forms an interconnecting network. A geologically persistent LVZ with a homogeneous distribution of melt can be maintained with melt fractions only on the order of 0.1% or less.
Hays James F.
Stolper Edward M.
Walker Danielle
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