Explosive fragmentation criteria and velocities for vesicular magma

M. J. McGuinness; B. Scheu; A. C. Fowler

doi:10.1016/j.jvolgeores.2012.05.019

Explosive fragmentation criteria and velocities for vesicular magma

M. J. McGuinness, B. Scheu, A. C. Fowler

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a new criterion for primary fragmentation of natural rock samples in shock-tube experiments, and new formulae for the effective strength of natural rock samples, for the size of primary fragments, and for fragmentation velocities. These formulae and the fragmentation criterion are given in terms of the physical properties of the rock and in terms of experimental parameters. The formulae and criterion are derived from numerical solutions and asymptotic analytic solutions to a novel recently published mathematical model for the explosive fragmentation of vesicular magma in shock-tube experiments. This model is singularly successful in accounting for the length-scales observed in these experiments. The criterion and formulae provide good matches to data from shock-tube experiments on natural samples.

Original language	English
Pages (from-to)	81-96
Number of pages	16
Journal	Journal of Volcanology and Geothermal Research
Volume	237-238
DOIs	https://doi.org/10.1016/j.jvolgeores.2012.05.019
Publication status	Published - 1 Sep 2012

Keywords

Explosive fragmentation
Fragmentation velocity
Mathematical model
Tensile strength

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10.1016/j.jvolgeores.2012.05.019

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title = "Explosive fragmentation criteria and velocities for vesicular magma",

abstract = "We present a new criterion for primary fragmentation of natural rock samples in shock-tube experiments, and new formulae for the effective strength of natural rock samples, for the size of primary fragments, and for fragmentation velocities. These formulae and the fragmentation criterion are given in terms of the physical properties of the rock and in terms of experimental parameters. The formulae and criterion are derived from numerical solutions and asymptotic analytic solutions to a novel recently published mathematical model for the explosive fragmentation of vesicular magma in shock-tube experiments. This model is singularly successful in accounting for the length-scales observed in these experiments. The criterion and formulae provide good matches to data from shock-tube experiments on natural samples.",

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author = "McGuinness, {M. J.} and B. Scheu and Fowler, {A. C.}",

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T1 - Explosive fragmentation criteria and velocities for vesicular magma

AU - McGuinness, M. J.

AU - Scheu, B.

AU - Fowler, A. C.

PY - 2012/9/1

Y1 - 2012/9/1

N2 - We present a new criterion for primary fragmentation of natural rock samples in shock-tube experiments, and new formulae for the effective strength of natural rock samples, for the size of primary fragments, and for fragmentation velocities. These formulae and the fragmentation criterion are given in terms of the physical properties of the rock and in terms of experimental parameters. The formulae and criterion are derived from numerical solutions and asymptotic analytic solutions to a novel recently published mathematical model for the explosive fragmentation of vesicular magma in shock-tube experiments. This model is singularly successful in accounting for the length-scales observed in these experiments. The criterion and formulae provide good matches to data from shock-tube experiments on natural samples.

AB - We present a new criterion for primary fragmentation of natural rock samples in shock-tube experiments, and new formulae for the effective strength of natural rock samples, for the size of primary fragments, and for fragmentation velocities. These formulae and the fragmentation criterion are given in terms of the physical properties of the rock and in terms of experimental parameters. The formulae and criterion are derived from numerical solutions and asymptotic analytic solutions to a novel recently published mathematical model for the explosive fragmentation of vesicular magma in shock-tube experiments. This model is singularly successful in accounting for the length-scales observed in these experiments. The criterion and formulae provide good matches to data from shock-tube experiments on natural samples.

KW - Explosive fragmentation

KW - Fragmentation velocity

KW - Mathematical model

KW - Tensile strength

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SN - 0377-0273

VL - 237-238

SP - 81

EP - 96

JO - Journal of Volcanology and Geothermal Research

JF - Journal of Volcanology and Geothermal Research

ER -

Explosive fragmentation criteria and velocities for vesicular magma

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Keywords

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