Mathematical modeling of magma ascent in dykes with crystallization kinetics
Mathematical modeling of magma ascent in dykes with crystallization kinetics
(Russian, English abstract)
Abstract:
The dynamics of magma ascent in dykes are strongly influenced by crystallization processes, which affect the rheological properties of silicate melts. We develop a mathematical model of magma ascent that explicitly accounts for crystallization kinetics. The model reproduces the evolution of crystal size distribution and demonstrates how the interplay between nucleation and growth controls the temporal and spatial structure of the crystalline phase. Such modeling provides a quantitative framework for interpreting textural variations in magmatic rocks and linking crystallization dynamics to magma flow.
Keywords: magma ascent, dyke, crystal size distribution, numerical modeling
