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Generation and Creep of Magma in the Earth

1989; Society for Industrial and Applied Mathematics; Volume: 49; Issue: 1 Linguagem: Inglês

10.1137/0149014

1095-712X

A. C. Fowler,

Heat and Mass Transfer in Porous Media

This paper describes a model representing the process of partial melting of deforming mantle rock, and the associated melt migration due to differential buoyancy. The model is a double free-boundary problem of degenerate type, and is typical of such slow, reactive two-phase flows. Prescription of boundaryconditions is problematical, but in some sense the model picks its own; a realistic asymptotic solution involving rather novel boundary layer behaviour is presented, for the case of two fixed boundaries, and it is then shown how the free boundaries can be determined a posteriors. The implications for geophysical behaviour are discussed.