Journal Article10.1029/2005JB004174
Dynamics of diffusive bubble growth and pressure recovery in a bubbly rhyolitic melt embedded in an elastic solid
TL;DR: In this article, a model of gas exsolution and bubble expansion in a melt supersaturated in response to a sudden pressure drop is presented, where the melt contains a suspension of gas bubbles of identical sizes and is encased in a penny-shaped crack embedded in an elastic solid.
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Abstract: [1] We present a model of gas exsolution and bubble expansion in a melt supersaturated in response to a sudden pressure drop. In our model, the melt contains a suspension of gas bubbles of identical sizes and is encased in a penny-shaped crack embedded in an elastic solid. The suspension is modeled as a three-dimensional lattice of spherical cells with slight overlap, where each elementary cell consists of a gas bubble surrounded by a shell of volatile-rich melt. The melt is then subjected to a step drop in pressure, which induces gas exsolution and bubble expansion, resulting in the compression of the melt and volumetric expansion of the crack. The dynamics of diffusion-driven bubble growth and volumetric crack expansion span 9 decades in time. The model demonstrates that the speed of the crack response depends strongly on volatile diffusivity in the melt and bubble number density and is markedly sensitive to the ratio of crack thickness to crack radius and initial bubble radius but is relatively insensitive to melt viscosity. The net drop in gas concentration in the melt after pressure recovery represents only a small fraction of the initial concentration prior to the drop, suggesting the melt may undergo numerous pressure transients before becoming significantly depleted of gases. The magnitude of pressure and volume recovery in the crack depends sensitively on the size of the input-pressure transient, becoming relatively larger for smaller-size transients in a melt containing bubbles with initial radii less than 10−5 m. Amplification of the input transient may be large enough to disrupt the crack wall and induce brittle failure in the rock matrix surrounding the crack. Our results provide additional basis for the interpretation of volume changes in the magma conduit under Popocatepetl Volcano during Vulcanian degassing bursts in its eruptive activity in April–May 2000.
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Citations
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References
•Book
Computational Fluid Mechanics and Heat Transfer
Dale Anderson,John C. Tannehill,Richard H. Pletcher +2 more
- 01 Jan 1984
TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for CFD-based transfert de chaleur.
4K
•Book
Computational fluid dynamics : the basics with applications
John D. Anderson
- 01 Jan 1995
TL;DR: A Thomas's algorithm for the solution of a tridiagonal system of Equations is described in this paper, as well as a detailed discussion of the future of Computational Fluid Dynamics.
2.1K
•Book
Crack Problems in the Classical Theory of Elasticity
Ian N. Sneddon,Morton Lowengrub +1 more
- 01 Jan 1969
1.1K
The dynamics of bubble formation and growth in magmas: A review and analysis
TL;DR: In this article, a numerical method has been developed to determine bubble growth rates during volcanic eruptions of basaltic and rhyolitic tephras, and the numerical solutions consider both diffusional and decompressional growth and the effects of magma ascent rates (0-400 cm s−1), magma viscosity (102 to 108 poise), gas solubility, gas content (0.25-5%), and gas diffusivity (10−6 to 10−9 cm2 s− 1) on growth rates.
998
Properties of some common igneous rocks and their melts at high temperatures
TL;DR: The properties of four igneous rocks (a tholeiitic and an alkali-olivine basalt, an andesite, and a rhyolite) and a synthetic lunar sample have been determined at atmospheric pressure over a range of temperatures including their melting interval as discussed by the authors.
992