Abstract

Observations from the island of Montserrat in the Caribbean have shown that volcanic eruptions (particularly explosive ones) can generate internal waves in the atmosphere that can be observed by microbarographs at ground level. It is possible that observations of such waves may give early information about volcanic eruptions when other methods are unavailable (because of bad weather, nocturnal eruptions, and poor visibility or remoteness), if it is possible to interpret them. This paper describes a dynamical model of the forcing of internal waves in which the eruption is modelled as a turbulent plume, forced by a source of buoyancy at ground level that specifies the total height and relevant properties of the eruption. Specifically, the rising plume entrains environmental air from ground level to 70% of its maximum height zM, and above 0.7zM the rising fluid spreads radially. During the eruption, this flow forces horizontal motion in the surrounding fluid that generates internal waves, which may be computed by assuming that this is due to a linear dynamical process. Properties of the resulting waves are described for a variety of parameters that include the strength and height of the eruption, the effect of the tropopause, generation in the stratosphere for large eruptions, and the differing effects of the duration of the eruption. Implications for characterising eruptions from observations of these properties are discussed.

Highlights

  • The occurrence of repeated eruptions of the Soufrière Hills Volcano on the island of Montserrat over the past 20 years have stimulated many observational programmes and theoretical studies

  • One aspect of some interest is the observation that the eruption of this volcano generates internal gravity waves in the atmosphere that are observable with microbarographs

  • The first attempt at modelling atmospheric internal wave generation by eruptions was by Kanamori et al [1], who used a model that had been developed to describe the internal and acoustic waves generated by nuclear explosions in the atmosphere

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Summary

Introduction

The occurrence of repeated eruptions of the Soufrière Hills Volcano on the island of Montserrat over the past 20 years have stimulated many observational programmes and theoretical studies. One aspect of some interest is the observation that the eruption of this volcano generates internal gravity waves in the atmosphere that are observable with microbarographs. The first attempt at modelling atmospheric internal wave generation by eruptions was by Kanamori et al [1], who used a model that had been developed to describe the internal and acoustic waves generated by nuclear explosions in the atmosphere This model consisted of a source of heat and mass at a particular point in the atmosphere, for a given short period of time. The Kanamori–type point-source model has been employed by Ripepe et al [3] for comparison with recent observations All of these studies involve the representation of the eruption by the injection of heat and/or mass into the atmosphere at appropriate elevated locations. Relevant properties of internal waves and the effect of atmospheric structure are arepresented presentedinin

The equations governing internal in an atmosphere structure
Comparisons with some are shown shown in Section
A Representative
Atmospheric Structure and Internal Waves
Schematic
Equations for Internal
Wave Generation by the Representative Eruption Model
InzTthe z
Figure
Comparison with Observations
Surface
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