Physics – Fluid Dynamics
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986georl..13.1149s&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 13, Nov. 1986, p. 1149-1152.
Physics
Fluid Dynamics
39
Fluid Dynamics, Geophysical Fluids, Interfacial Tension, Magma, Diffusion, Earth Crust, Earth Mantle, Gravitational Effects
Scientific paper
It is shown that surface tension can cause redistribution of melt in a partially molten medium, in accordance with a nonlinear diffusion equation for the melt fraction. The associated diffusivity D depends on the surface energy and is positive (stable) for dihedral angle less than 60 deg and negative (unstable) for dihedral angle greater than 60 deg. In the more likely stable case, D of about 10 to the -7th sq cm/s is typical for mantle melts, but a value as high as 0.1 sq cm/s is conceivable for volatile-rich fluids. Surface tension may play an important role in creating pathways for metasomatizing fluids in the earth, but does not appear likely to affect substantially the existing estimates of large scale melt migration (e.g., beneath mid-ocean ridges).
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