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• W2047517625 abstract "Abstract We present a mathematical model for the flow of a partial melt through its solid phase. The model is based on the conservation laws of two-phase flow, which reduce to a generalization of porous flow in a permeable medium, when the solid matrix deforms very slowly. The continuity equation for the melt contains a source term (due to melting), which is determined by the energy equation. In addition, the melt fraction is unknown, and a new equation, representing conservation of pore space, is introduced. This equation may also be thought of as a constitutive law for the melt pressure (which is not lithostatic). The model is non-dimensionalized and simplified. Some simple solutions are considered, and it is suggested that the occurrence of high fluid pressures in the solutions may initiate fractures in the lithosphere, thus providing a starting-up mechanism for magma ascent to the surface." @default.
• W2047517625 created "2016-06-24" @default.
• W2047517625 creator A5024591107 @default.
• W2047517625 date "1985-09-01" @default.
• W2047517625 modified "2023-10-18" @default.
• W2047517625 title "A mathematical model of magma transport in the asthenosphere" @default.
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• W2047517625 doi "https://doi.org/10.1080/03091928508245423" @default.
• W2047517625 hasPublicationYear "1985" @default.
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