Shape and volume change of pressurized ellipsoidal cavities from deformation and seismic data

Amoruso, Antonella; Crescentini, Luca

doi:10.1029/2008jb005946

Cited by 90 publications

(118 citation statements)

References 20 publications

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“…The ratio of the extruded magma volume to the deflation volume (Rv) is 1.8 ± 0.5. The value is affected not only by the magma compressibility (Rivelta and Segall, 2008) but also by the shape of the magma reservoir (Amoruso and Crescentini, 2009). Rivalta and Segall (2008) pointed out that the ratio should be greater than one if the magma within the reservoir is compressible.…”

Section: Discussionmentioning

confidence: 99%

Volume change of the magma reservoir relating to the 2011 Kirishima Shinmoe-dake eruption—Charging, discharging and recharging process inferred from GPS measurements

et al. 2013

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Section: Discussionmentioning

confidence: 99%

Volume change of the magma reservoir relating to the 2011 Kirishima Shinmoe-dake eruption—Charging, discharging and recharging process inferred from GPS measurements

et al. 2013

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“…For a spherical chamber in an elastic full-space, b ch = 3/4m where m is the shear modulus of the elastic medium [McTigue, 1987]; however, this result does not hold for nonspherical shapes [Amoruso and Crescentini, 2009]. Using the finite element method we numerically compute b ch for chambers with aspect ratios w ranging from 0.05 to 20 in an elastic half-space with n = 0.25 and m = 20 GPa.…”

Section: Magma Chambermentioning

confidence: 99%

“…Penny-shaped cracks (left) become highly compressible, while vertical pipe-like chambers (right) become only somewhat more compressible than the sphere. Analytical expressions and results from Amoruso and Crescentini [2009] are shown for a sphere, penny-shaped crack (with n = 0.25), and highly elongate vertical prolate ellipsoid (all in elastic full-spaces); the latter two are end-member cases so their horizontal position on the axes is approximate. Analytical approximations fail most significantly with shallow penny-shaped chambers.…”

Section: Numerical Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Physics-based models of ground deformation and extrusion rate at effusively erupting volcanoes

Anderson¹,

Segall²

2011

J. Geophys. Res.

115

154

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[1] We present a model of effusive silicic volcanic eruptions which relates magma chamber and conduit physics to time-dependent data sets, including ground deformation and extrusion rate. The model involves a deflating chamber which supplies Newtonian magma through a cylindrical conduit. Solidification is approximated as occurring at fixed depth, producing a solid plug that slips along its margins with rate-dependent friction. Changes in tractions acting on the chamber and conduit walls are used to compute surface deformations. Given appropriate material properties and initial conditions, the model predicts the full evolution of an eruption, allowing us to examine the dependence of observables on initial chamber volume, overpressure, and volatile content. Employing multiple data sets in combination with a physics-based model allows for better constraints on these parameters than is possible using kinematic idealizations. Modeling posteruptive deformation provides an improved constraint on the rate of influx into the magma chamber from deeper sources. We compare numerical results to analytical approximations and to data from the 2004-2008 eruption of Mount St. Helens. For nominal parameters the balance between magma chamber pressure and frictional resistance of the solid plug controls the evolution of the eruption, with little contribution from the fluid magma below the idealized crystallization depth. While rate-dependent plug friction influences the timedependent evolution of the eruption, it has no control on the final chamber pressure or extruded volume.Citation: Anderson, K., and P. Segall (2011), Physics-based models of ground deformation and extrusion rate at effusively erupting volcanoes,

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“…Source depth depends on a range of factors relating to buoyancy, magma composition, stress conditions and pre-existing structural features (e.g., Chaussard & Amelung, 2014), as well as conditions that promote the amalgamation of lenses of melt and volatiles in a mush system to form larger bodies of eruptible magma (e.g., Cashman et al, 2017). We do not discuss estimations of volume change here, because it is strongly dependent on the reservoir or intrusion compressibility, which is very poorly constrained, and depends on both magma and exsolved gas compressibilities as well as source geometry and material properties of the surrounding rock (e.g., Rivalta and Segall, 2008;Amoruso and Crescentini, 2009;McCormick Kilbride et al, 2016). Modelled source depth is recorded for some deformation episodes by both VOTW and COMET, and we build on this by including further preferred deformation source depths from publications (including any estimation of uncertainty provided).…”

Section: Derived Deformation Source Parametersmentioning

confidence: 99%

Synthesis of global satellite observations of magmatic and volcanic deformation: implications for volcano monitoring & the lateral extent of magmatic domains

et al. 2018

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Global Synthetic Aperture Radar (SAR) measurements made over the past decades provide insights into the lateral extent of magmatic domains, and capture volcanic process on scales useful for volcano monitoring. Satellite-based SAR imagery has great potential for monitoring topographic change, the distribution of eruptive products and surface displacements (InSAR) at subaerial volcanoes. However, there are challenges in applying it routinely, as would be required for the reliable operational assessment of hazard. The deformation detectable depends upon satellite repeat time and swath widths, relative to the spatial and temporal scales of volcanological processes. We describe the characteristics of InSAR-measured volcano deformation over the past two decades, highlighting both the technique's capabilities and its limitations as a monitoring tool. To achieve this, we draw on two global datasets of volcano deformation: the Smithsonian Institution Volcanoes of the World database and the Centre for the Observation and Modelling of Earthquakes, Volcanoes and Tectonics volcano deformation catalogue, as well as compiling some measurement characteristics and interpretations from the primary literature. We find that a higher proportion of InSAR observations capture non-eruptive and non-magmatic processes than those from ground-based instrument networks, and that both transient (< month) and long-duration (> 5 years) deformation episodes are under-represented. However, satellite radar is already used to assess the development of extended periods of unrest and long-lasting eruptions, and improved spatial resolution and coverage have resulted in the detection of previously unrecognised deformation at both ends of the spatial scale (~10 to > 1000 km 2 ). 'Baseline' records of past InSAR measurements, including 'null' results, are fundamental for any future interpretation of interferograms in terms of hazard‚ both by providing information about past deformation at an individual volcano, and for assessing the characteristics of deformation that are likely to be detectable (and undetectable) using InSAR. More than half of all InSAR deformation signals attributed to magmatic processes have sources in the shallow crust (< 5 km depth). While the depth distribution of InSAR-derived deformation sources is affected by measurement limitations, their lateral distribution provides information about the extent of active magmatic domains. Deformation is common (24% of all potentially magmatic events) at loci ≥5 km away from the nearest active volcanic vent. This demonstrates that laterally extensive active magmatic domains are not exceptional, but can comprise the shallowest part of trans-crustal magmatic systems in a range of volcanic settings.

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Shape and volume change of pressurized ellipsoidal cavities from deformation and seismic data

Cited by 90 publications

References 20 publications

Volume change of the magma reservoir relating to the 2011 Kirishima Shinmoe-dake eruption—Charging, discharging and recharging process inferred from GPS measurements

Volume change of the magma reservoir relating to the 2011 Kirishima Shinmoe-dake eruption—Charging, discharging and recharging process inferred from GPS measurements

Physics-based models of ground deformation and extrusion rate at effusively erupting volcanoes

Synthesis of global satellite observations of magmatic and volcanic deformation: implications for volcano monitoring & the lateral extent of magmatic domains

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