Two-tiered semi-empirical model for the viscosity of crystal-bearing magmas View Full Text


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Article Info

DATE

2021-10-26

AUTHORS

Aleksandr F. Fedotov

ABSTRACT

A two-tiered semi-empirical model of the viscosity of crystal-bearing magmas is proposed. The model reflects two physical states of a magma—a suspension of particles and a post-suspension with a crystalline framework. The transformation of a suspension into a post-suspension occurs with the maximum packing fraction φm. Two governing equations correspond to the two states of the magma—for a suspension of particles at φ < φm and for a post-suspension at φ ≥ φm. The continuity of the governing equations is ensured by the equality of the viscosity of the suspension and post-suspension at φ = φm. The suspension viscosity is described according to the semi-empirical Batchelor model. To obtain the final viscosity at φ = φm, the model was modified. The post-suspension is presented in the form of a matrix, the viscosity of which is equal to the viscosity of the suspension of particles at φ = φm. In turn, the matrix contains a crystalline fraction with a viscosity determined by experimentation. The post-suspension viscosity is described by an empirical power-law equation with two fitting parameters. A parameterisation of the two-tiered model was performed and the dependence of the viscosity on the shear strain rate was established. In general, in comparison with the well-known single-tiered Costa model, the new two-tiered model more accurately describes the viscosity of crystal-bearing magmas. More... »

PAGES

1-11

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00397-021-01306-z

DOI

http://dx.doi.org/10.1007/s00397-021-01306-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1142201031


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