MULTIFIELD GOVERNING EQUATIONS FOR MAGMA DYNAMICS

A general set of conservation equations for mass, chemical species, mo mentum, and energy is proposed as a framework for magma dynamics studi es. These equations are based on a multifield approach and can in prin ciple describe the entire range of macroscopic dynamics ranging from m elt extraction in the mantle to magma chamber dynamics to ascent and e ruption, fully accounting for mechanical and thermodynamic non-equilib rium between phases. Multiple crystal/bubble compositions and sizes, w hich define populations, are accounted for by tracking each population as a separate field. The equations are intended to serve as a basis f or development of large-scale, ''global'' numerical simulation approac hes to magmatic systems, and as a framework for laboratory and computa tional models of specific aspects of magmatic systems. Use of the equa tions to guide experimental studies and as a basis for large-scale num erical simulation of magmatic processes are briefly discussed.