Physics
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991e%26psl.103...69l&link_type=abstract
Earth and Planetary Science Letters, Volume 103, Issue 1-4, p. 69-78.
Physics
2
Scientific paper
A complete set of two-dimensional equations for conservation of mass, momentum and energy of a two-phase system of melt in a deformable matrix is used to derive analytically a model for the vertical distribution of the melt fraction. Also, a set of asymptotic relations for parameters in the velocity field of the matrix and the melt in the neighbourhood of the symmetry axis of sea-floor spreading is obtained. These relations have been used to derive solutions appropriate to the melt extraction from the partially molten regions beneath mid-ocean ridges and the conditions for their existence. The results show the convergence of the melt streamlines towards the spreading center. It is caused by: (1) a horizontal gradient of the piezometric pressure associated with the deformations of the matrix, and (2) an upward increase of the porosity due to melting. For accepted values of the relevant parameters, a focusing effect of melt towards spreading centers exists, thereby providing an explanation for the mid-ocean ``paradox'' of a narrow region of ridge axis volcanism overlying a broad melt production zone.
Contribution no. 414 from Institut für Geophysik, Kiel.
Li Yinting
Meissner R. O.
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