Micro-Textural Controls on Magma Rheology and Vulcanian Explosion Cyclicity

Introduction

Hazardous sequences of Vulcanian explosions are a common feature during periods of activity at arc volcanoes. These explosions are commonly associated with the development of overpressure beneath or within low-permeability, high-crystallinity magmatic plugs in the upper conduit (e.g., Sparks, 1997; Stix et al., 1997; Voight, 1999; Mueller et al., 2005; Clarke et al., 2007; Wright et al., 2007; Mueller et al., 2011a; Lavallée et al., 2015). Plugs most commonly develop in intermediate magmas (andesites and dacites) and are thought to result from decompression-induced degassing and crystallization during magma ascent from a shallow crustal reservoir (e.g., Hammer et al., 1999; Cashman and Blundy, 2000; Hammer et al., 2000; Preece et al., 2016; Bain et al., 2019a), which produces a large increase in viscosity (Sparks, 1997; Lavallée et al., 2007; Clarke, 2013), inhibiting magma ascent and rendering it prone to rupture or fragment (Lavallée and Kendrick, 2020; and references therein). Concurrently, magma permeability is reduced by outgassing and densification during compactant shear (Lavallée et al., 2012; Ashwell and Kendrick et al., 2015) and fracture closure due to healing and tuffisite infills (e.g., Castro et al., 2012; Kolzenburg et al., 2012; Kendrick et al., 2016; Lamur et al., 2019), which leads to a large increase in strength (Spieler et al., 2004; Vasseur et al., 2013; Coats et al., 2018; Lamur et al., 2019). The degassing, crystallization and densification processes responsible for plug and overpressure development may be modulated by differences in magma composition, ascent rate and decompression path, petrological characteristics, rheological evolution, outgassing and shear history (e.g., Calder et al., 2015). This results in a spectrum of physico-chemical evolution pathways that promotes a variety of repose times between explosions, a range of ejected volumes and transitions from explosive activity to effusive dome-building behavior (e.g., Cassidy et al., 2018; Wallace et al., 2020).

However, the detailed mechanisms by which ascent, degassing, crystallization and densification processes may be modulated to govern this rich variety in eruptive style are complex, inter-linked, and remain incompletely understood. In intermediate magmas, crystal micro-textures of anhydrous phases such as plagioclase are known to track magma ascent processes and represent an important record of shallow sub-surface dynamics (e.g., Hammer et al., 1999; Cashman and Blundy, 2000; Hammer et al., 2000; Miwa et al., 2009; Wright et al., 2012; Preece et al., 2016; Cashman, 2020; Gaunt et al., 2020; Wallace et al., 2020). Decompression experiments have shown that the final plagioclase micro-textures are a combined result of the decompression rate, decompression path (e.g., single-step or multi-step ascent), final storage pressure, time spent at that pressure, and the composition of the exsolving volatile phase (Hammer and Rutherford, 2002; Couch et al., 2003; Brugger and Hammer, 2010a; Brugger and Hammer, 2010b; Riker et al., 2015; Cichy et al., 2017). In general, low decompression rates result in low degrees of effective undercooling ($\mathrm{\Delta }T$) in magmas, defined as the difference between the liquidus temperature and the sub-liquidus magmatic temperature (Kirkpatrick, 1981), setting a small driving force for crystallization. This results in low crystal nucleation rates and high crystal growth rates, producing microlite populations characterized by low number densities (i.e. the number of crystals per unit area or volume) and large crystal sizes, e.g., the summer 1980 explosive eruptions of Mount St Helens, United States (Cashman, 1992) and the 2006 dome-forming eruption of Merapi, Indonesia (Preece et al., 2013). Higher decompression rates result in higher $\mathrm{\Delta }T$, higher nucleation rates and lower growth rates, producing microlite populations characterized by higher number densities and smaller sizes, e.g., the 1991 pre-climactic eruptions of Mount Pinatubo, Indonesia (Hammer et al., 1999). Crystal morphologies change from facetted crystals at low $\mathrm{\Delta }T$ to skeletal morphologies at higher $\mathrm{\Delta }T$, due to an increasing disparity between the rate of crystal growth and the rate of supply and rejection of chemical components to/from the crystal interface (Lofgren, 1974). In addition, for facetted crystals the growth rate between different crystal axes becomes more disparate with increasing $\mathrm{\Delta }T$ (Holness, 2014), leading to more prismatic microlites at high growth rates (Hammer et al., 1999; Bain et al., 2019a). Differences in the phenocryst population resulting from variable rates of decompression and degrees of undercooling may also be expected, such as the extent of anhydrous phenocryst growth (Cashman, 2020) and the extent of breakdown of hydrous phases such as amphibole (Devine et al., 1998).

The properties of the crystal cargo of a magmatic suspension, e.g., the crystal fraction (Caricchi et al., 2007; Ishibashi and Sato, 2007; Lavallée et al., 2007), crystal aspect ratio (Mueller et al., 2011b; Klein et al., 2017) and crystal size distribution (Klein et al., 2017; Klein et al., 2018), are also known to strongly affect its rheology, by impacting the flow field due to particle-melt and particle-particle interactions. The attributes of the crystal cargo control the maximum packing fraction of the magmatic suspension (${\varphi }_m$), which is the maximum crystal fraction at which the suspension partly locks up (Einstein, 1911; Roscoe, 1952) and adopts a different rheology encompassing deformation mechanisms such as crystal plasticity, grain sliding and microcracking (Lavallée et al., 2007; Lavallée et al., 2012; Kendrick et al., 2013; Kendrick et al., 2017). Thus, even at a given crystallinity, the geometry and distribution of crystals generated during magma ascent impacts the extent of crystal interaction, exerting an important rheological control on magma behavior in the shallow conduit and during eruption. In the context of plug formation and dome-building activity at arc volcanoes, a micro-textural control on rheology (including for example, viscosity and shear-thinning behavior) can be expected to affect the rate at which magma densifies to form a low-permeability plug (Ashwell and Kendrick et al., 2015; Bain et al., 2019a), which has important implications for outgassing behavior, overpressure development, and eruption style, size and timing. The porosity of magma may also exert an influence on its rheology, as isolated gas bubbles may act to increase or decrease viscosity depending on a competition between deforming and restoring forces (e.g., Llewellin and Manga, 2005), while connected porosity dominated by interconnected vesicles and cracks may form a pathway for gas escape and reduce shear viscosity as well as pore pressure (Kendrick et al., 2013). The original porosity of the magma has also been inferred to control the strain-dependence of viscosity evolution associated with densification (Wright and Weinberg, 2009; Ashwell and Kendrick et al., 2015). Thus, petrological and micro-structural characteristics and the rheological evolution occurring during densification and plug formation may exert an important control on the plug characteristics and associated eruptive behavior. A thorough understanding of these relationships is clearly required to aid in interpreting monitored geophysical and geochemical signals, and thus inform risk management during volcanic crises.

In this work, we investigate the effect of varying crystal micro-textures on magma rheology by conducting a series of high-temperature (940°C) deformation tests on eight bomb samples ejected during Vulcanian explosions from Galeras volcano during the 2004–2010 period of activity. Experimental conditions were chosen to replicate a shallow volcanic conduit environment where intermediate magmas commonly stall, form plugs or feed dome-building eruptions. Prior to the experiments, these samples were texturally characterized to quantitatively assess the properties of plagioclase microlites, as the dominant groundmass phase. The connected porosity and permeability of the samples were measured before and after deformation to monitor the micro-structural changes that took place during the experiments. Phenocryst proportions were estimated, groundmass glass compositions were analyzed, and the viscosity of the melt phase was calculated in order to isolate the contribution of microlites to the experimentally-determined apparent magma viscosity. The experimental results were then used to calibrate an empirical viscosity model to estimate the high-temperature, strain rate-dependent viscosity of Galeras magma over the 2004–2010 eruptive period. We then compare the rheology of the Galeras magma in different phases of the eruptive period with the observed SO₂ fluxes and attempt to reconcile our multiparametric dataset into a conceptual model linking evolving eruption dynamics (i.e. changes in the volume of erupted material, the repose time prior to explosions and the presence or absence of a dome) with evolving magma rheology, modulated by changing crystal micro-textures due to magma decompression rate variations. This model sheds light on the transition from effusive dome-building behavior accompanied by occasional, small Vulcanian blasts to frequent, large Vulcanian explosions at Galeras volcano, and may have important implications for hazards and micro-textural monitoring during periods of high and low magma decompression rate at Galeras and other similar arc volcanoes.

Materials and Methods

Sample Selection

The 2004–2010 period of activity at Galeras volcano (Figure 1) comprised 17 Vulcanian explosions (VEI 2–3) and two periods of dome-building activity (in 2006 and 2008), interspersed with numerous ash and gas venting events (up to VEI 1; Vargas and Torres, 2015; Narváez Medina et al., 2017). Based on observations by the Colombian Geological Survey (Servicio Geológico Colombiano – SGC), explosions were Vulcanian in character and short-lived (typically lasting several minutes) with plume heights reaching up to 12 km following the most powerful explosions. The minimum volume of material ejected during each Vulcanian explosion, calculated from isopach maps established by the SGC, ranged from 3.5 × 10⁴ to 3.56 × 10⁶ m³ and the repose time between explosions ranged between 1 and 554 days (Vargas and Torres, 2015). The minimum total volume of material produced during this period was 21 × 10⁶ m³, with 16 × 10⁶ m³ ejected during Vulcanian explosions and 5 × 10⁶ m³ erupted in the form of domes. Dome growth was first observed on January 13, 2006 (Figure 1D). Subsequent explosions partially destroyed this dome and renewed dome growth was noted on September 18, 2008. No pyroclastic flows or associated deposits were observed during this period. Eruptive products were limited to fallout deposits and ballistics.

FIGURE 1

FIGURE 1. (A) Location of Galeras volcano in southern Colombia. (B) View of the modern Galeras cone (photo taken from the sampling site indicated in panel C), formed by volcanic activity over the last 4,500 years, within the horseshoe-shaped amphitheater created by older caldera- and sector-collapse events (Calvache et al., 1997). (C) Satellite view of the Galeras crater area showing the modern cone, the older amphitheater and the sampling site for this study. Image from Google Earth (Image ^© 2017 DigitalGlobe, CNES/Airbus, Landsat/Copernicus). (D) SO₂ flux time series (gray bars), as measured by the Colombian Geological Survey (SGC), initially using a COSPEC then a DOAS instrument from July 27, 2006. Also shown are the minimum volumes of material ejected by Vulcanian explosions that occurred during the 2004–2010 activity (black and red bars) estimated by the SGC (Narváez Medina et al., 2017). Red bars correspond to explosions for which time-constrained samples were collected by the SGC. Periods of dome growth, dome presence in the crater (with no continued growth) and explosions that partially or fully destroyed the domes are also indicated, based on SGC observations.

We selected eight samples of high-crystallinity andesite bombs (Figure 2A) from the study of Bain et al. (2019b), which represent juvenile blocks produced by the 2004–2010 Vulcanian explosions, collected in July 2017 with the support of the SGC. Following the explosions in 2004–2010, SGC personnel marked juvenile pyroclasts in the field using spray paint, which allowed us to identify these samples during our 2017 fieldwork. The samples were collected from the amphitheater rim, at a distance of $\sim$650–700 m from the vent (Figure 1C). Samples were chosen in order to cover the full range in density identified in previous work on Galeras ballistics and observed in the field, and range in total porosity from 0 to 26% (Bain et al., 2019b). These bombs correspond to the “dense” and “scoriaceous” types described by Bain et al. (2019a), which were shown to have a low water content (<0.36 wt% H₂O) in the interstitial glass, preventing them from vesiculating on the short timescales of Vulcanian eruptions (e.g., Wright et al., 2007). These bombs are therefore assumed to be representative of the properties of the magma stored in the shallow conduit prior to Vulcanian explosions at Galeras volcano during 2004–2010. Breadcrusted bombs were also generated during this sequence of explosions (i.e., the ‘inflated type described by Bain et al., 2019a) but these were excluded from the present study due to the occurrence of syn-eruptive vesiculation, which overprints the physical properties of magma residing in the shallow conduit. A detailed description of bombs from this eruptive period is given in Bain et al. (2019a). Briefly, the selected samples consist of porphyritic andesite with plagioclase (20–25%; 0.5–6 mm length in section), orthopyroxene + clinopyroxene (7–10%; 0.5–5 mm) and Fe-Ti oxide phenocrysts (3–5%; 0.5–1 mm) and microphenocrysts (0.25–0.5 mm for all phases) with rhyolitic interstitial glass. Amphibole phenocrysts are rare and always show an opaque breakdown rim. Microlites (<0.25 mm) consist dominantly of plagioclase, as well as Fe-Ti oxides and pyroxene. The vesicularity of the selected samples varies widely (3–23% area) in thin sections, spanning the range of vescularity observed in these bomb types at Galeras, with vesicles ranging in size from a few tens of microns to 3–4 mm, typically with complex, branching/polylobate shapes. A study of the porosity, permeability and porous micro-structure of these bombs can be found in Bain et al. (2019b).

FIGURE 2

FIGURE 2. Galeras sample selection. (A) Examples of dense and scoriaceous andesitic bombs collected from Galeras volcano for this study. (B) 26 mm-diameter cores prepared from these bombs. (C) Slight barreling of core samples following high-temperature experiments.

High-Temperature Rheology Experiments

Parallel-plate rheometry was employed to measure the viscosity, and its strain rate dependence, of the selected samples. Cylinders 26 ± 0.22 mm in diameter were prepared from each sample (Figure 2B), with lengths varying between 40.66 and 53.76 mm. The ends of the cylinders were ground parallel, and cores were then cleaned in an ultrasonic bath and oven-dried. Cores were deformed at high temperature in a 100 kN Instron 8862 uniaxial press in the Volcanology and Geothermal Research Laboratory at the University of Liverpool, following the instrument protocol described in Hess et al. (2007). In each experiment, a sample was heated to $\sim$940°C at a rate of 3°C/min, using a three-zone, split cylinder furnace. Temperature was monitored via a thermocouple set in contact with the sample and was recorded at the beginning and end of each experiment (the average temperature ranged between 924 and 939°C in the different experiments). Following a dwell time of 1 h to ensure that the sample and the pistons had thermally equilibrated, the sample was deformed sequentially at three constant strain rates: 45 min at 10^–6 s⁻¹, 30 min at 10^–5 s⁻¹, and 15 min at 10^–4 s⁻¹. The applied strain rates were chosen to reflect the range of rheological conditions applicable to magma deformation in the shallow conduit, spanning the near-static (⪅10^–6 s⁻¹, below which magma rheology is largely Newtonian; e.g., Caricchi et al., 2007) to significantly non-Newtonian regime (10^–6∼10^–4 s⁻¹; Caricchi et al., 2007) and toward the transition to brittle deformation conditions (⪆10^–4 s⁻¹; e.g., Coats et al., 2018). The sample load and extension were recorded during the experiments. Extension was then corrected for the compliance of the apparatus using a priori correction measurements at the tested conditions in the absence of a sample (e.g., Gruber, 2018). The stress ($\sigma$, in Pa) imparted on the sample and the resulting strain ($\epsilon$) during the experiment were then used to calculate the apparent shear viscosity (${\eta }_a$, in Pa s) at each strain rate once the sample began to deform steadily. ${\eta }_{a }$was calculated using the equation of Gent (1960) for parallel-plate rheometry, adapted for use under constant strain rate (Coats et al., 2018):

${\eta }_{a }=\frac{2\pi F{h}^4}{3V\dot{\epsilon }(V+2\pi h^3)}[1]$

where $F$ is the force (in N), $h$ is the sample height (in m), $\dot{\epsilon }$ is the strain rate (in s⁻¹) and $V$ is the initial sample volume (in m³), which is assumed constant throughout deformation. Cores were subsequently cooled at a rate of 3°C/min to avoid thermal cracking (Figure 2C shows examples of cores following rheology tests). The length and width of the cores were measured with high precision calipers before and after the rheology tests to calculate the volume of the original cylinders and post-deformation barrels, and determine changes in volume (Supplementary Material A). Table 1 provides a list of selected relevant symbols used throughout the text.

TABLE 1

TABLE 1. Selected list of parameters referred to in the text with corresponding symbols and units.

Porosity and Permeability Measurements

The connected porosity and permeability of each core were measured before and after the high-temperature experiments. The connected porosity was measured by gas displacement pycnometry at the University of Liverpool (initial measurements were published in Bain et al., 2019b), using an AccuPyc II 1340 helium pycnometer developed by Micromeritics. In this method, a core is sealed inside a chamber of known volume (100 cm³). The instrument calculates the skeletal volume of the sample (i.e. the volume of rock plus isolated pores) by comparing the volume of gas injected to bring the chamber to a pressure of 21 psi, to the volume of the chamber calibrated at the same gas pressure. The skeletal volume returned by this method is accurate to 0.1%. The volume of pores connected to the outside of the core and allowing helium infiltration (the connected porosity, ${\varphi }_c$) is then calculated by taking the ratio of the skeletal volume to that of a perfectly solid cylinder with the core’s dimensions.

Steady-state permeability (κ, in m²) at effective pressures ranging from 1.91 to 2.39 MPa (confining pressure ∼6 MPa; Supplementary Material A) was measured at the University of Liverpool using a steady-state hydrostatic cell developed by Sanchez Technologies. In this setup, the confining pressure is applied using silicon oil around a Vitton jacket containing the sample assembly, while water is pumped through the sample using two servo-controlled pore pressure pumps. Darcian conditions (i.e., a laminar flow through the sample) were ensured by imposing a pressure differential ($\mathrm{\Delta P}$) of 0.5–1 MPa across the sample (depending on the permeability of the sample, with higher $\mathrm{\Delta P}$ required to obtain a detectable flow in the densest samples) by decreasing the outflow pore pressure. The resulting flow rate was measured and used to calculate the Darcian permeability, as well as the Forcheimer (Whitaker, 1996) and Klinkenberg (Klinkenberg, 1941) coefficients.

Glass Composition and Melt Viscosity Estimation

Polished thin sections of each sample were prepared and groundmass glass major element compositions were measured by Electron Probe MicroAnalysis (EPMA) at the University of Edinburgh, using a Cameca SX-100 electron microprobe. Analyses were performed using an accelerating voltage of 15 kV, a beam current of 1 nA and a defocused beam of 5 μm diameter. Alkalis were measured first to avoid their loss by migration. A natural rhyolitic glass from Lipari was used for initial calibration and was analyzed on a daily basis to monitor precision and accuracy during the analyses. Totals outside the range 99–101% were discarded from the dataset. Eight analyses fitting this criterion were collected for each sample. The viscosity of the melt phase at the experimental temperature (940°C) was estimated using the results of each chemical analysis as input parameters in the viscosity calculator of Giordano et al. (2008); here, 0.36 wt% H₂O was used as the water concentration for the groundmass glass of “dense” and “scoriaceous” bombs, which corresponds to the maximum constrained for these eruptive products from the 2004 to 2010 period at Galeras volcano (as measured through secondary ion mass spectrometry by Bain et al., 2019a), and the concentration of fluorine was simplified to be zero for all samples. The obtained melt viscosity values were then averaged for each sample. Using the melt viscosity (${\eta }_m$) for each sample and the apparent viscosity (${\eta }_a$) from the rheometry experiments, the relative viscosity (${\eta }_r$) was then calculated at each applied strain rate, using ${\eta }_r={\eta }_a / {\eta }_m$ (Caricchi et al., 2007), to isolate the contribution of the crystals to the rate-dependent shear viscosity of Galeras magmas.

Textural Analysis of Plagioclase Microlites

High magnification ($\times$1,500) Back-Scattered Electron (BSE) images of the groundmass in sample thin sections were collected using a Carl Zeiss SIGMA HD VP Field Emission Scanning Electron Microscope (SEM) at the University of Edinburgh. The BSE images were stitched using Zeiss SmartTiffV3 software to provide one continuous area of groundmass for each sample, and plagioclase microlites were outlined manually using Inkscape freeware (Inkscape Project, 2020). Polygons were then drawn on the traced images using ImageJ (Schneider et al., 2012) to select the groundmass area of interest, avoiding phenocrysts (Supplementary Material B). Whole microlites not touching the polygon sides were then counted and measured using the best-fitting ellipse tool in ImageJ. The smallest analyzed crystals were 0.1–0.9 μm in length, depending on the sample (Supplementary Material C).

Microlite areal number densities ($N_A$, in mm⁻²) were calculated over the vesicle-free selected area. Areal crystal dimensions were measured as the short and long axes of best fit ellipses and the crystal areas of 2D intersections through the microlites were obtained. The plagioclase microlite crystallinity $\varphi$ of the groundmass of each sample was calculated as the fraction of the selected groundmass area (on a vesicle-free basis) that is made up of plagioclase. The best-fit 3D short ($S$), intermediate ($I$) and long ($L$) dimensions of crystals were obtained by comparing distributions of the ratio of the 2D short/long axes of the microlites with corresponding distributions for intersections of known crystal aspect ratios using CSDslice (Morgan and Jerram, 2006). CSDCorrections software (Higgins, 2000) was used to perform stereological conversions on the 2D size distributions to obtain 3D crystal size distributions (CSDs). The ImageJ ellipse minor axis measurements were used for the calculations, as these represent the most likely intersections for crystals with prismatic morphologies (Higgins, 2000) as obtained from CSDslice. The area percentage of voids and micro-cracks were estimated with ImageJ and used as a correction for the area analyzed in CSDCorrections. The resulting three-dimensional data were binned into five size bins per decade and bins containing less than five crystals were removed (Higgins, 2000). The y axis intercept of a regression line fitted to the centers of the three smallest size bins on each CSD represents the plagioclase nuclei population density ($n_0$, in mm⁻⁴) for each sample (Cashman, 1988), omitting any downturn of the CSD curve in small size bins resulting from incomplete compensation in the stereological calculations for the intersection probability effect for the smallest crystals (Brugger and Hammer, 2010a). The volumetric plagioclase number density ($N_V$, in mm⁻³) was calculated as $N_V=n_0\times (-1)/\alpha$ and a characteristic crystal size ($L_c$, in mm) was calculated as $L_c=-1/\alpha$, where $\alpha$ is the slope of the regression line in the CSDs (Blundy and Cashman, 2008). The model of Klein et al. (2018), incorporating the effects of the crystal fraction and the particle aspect ratio, was used to calculate the maximum packing fraction (${\varphi }_m$) for the groundmass of samples in this study.

Phenocryst Image Analysis

The areal percentage of phenocrysts (${\varphi }_{Ph}$), including plagioclase, clinopyroxene, orthopyroxene and Fe-Ti oxides, on a vesicle-free basis, was assessed by image analysis using ImageJ on high-resolution scans (4,800 dpi) of thin sections of each sample (Figure 3). As phenocryst abundance appeared uniform in hand specimens of Galeras bombs, one representative thin section was analyzed per sample. For each sample, a large (300–557 mm²) and small (59–165 mm²) area of the thin section were selected for analysis (Supplementary Material C). The large/small analyzed areas varied slightly in size due to the necessity of choosing areas of the thin section with uniform thickness, as thinner areas caused variations in the color of certain phases in scanned images (e.g., groundmass glass, blue resin filling vesicles) that would impact image analysis. Each large/small area was analyzed using two different methods to evaluate the robustness of the approach. In each method, the distinction between phenocrysts and groundmass was made on the basis of phenocrysts being distinguishable by eye in the high-resolution scans. The methods consisted of segmenting the different phases using HSB (Hue, Saturation, Brightness – Method 1) or RGB (Red, Green, Blue – Method 2) channel splitting on the selected image area followed by grayscale thresholding to select and quantify the phases of interest (Figure 3). Air bubbles in vesicles that were erroneously segmented as one of the crystal phases were deleted, and holes in crystals were filled where appropriate before quantification.

FIGURE 3

FIGURE 3. Methodology used for the quantification of the areal percentage of phenocrysts (${\varphi }_{Ph}$). (A) High-resolution (4,800 dpi) scans were made of each thin section. (B) A large and small area were extracted from each scan. (C) Method 1 (HSB channel splitting) and Method 2 (RGB channel splitting) were applied to the large and small areas in ImageJ (see Phenocryst Image Analysis for details). (D) Each phase of interest (phenocrysts, groundmass, vesicles) was segmented using grayscale thresholding and was then quantified in ImageJ.

Methods 1 and 2 yielded differences in ${\varphi }_{Ph}$ of $\le$10% and $\le$13% for the large and small areas of each sample, respectively. In addition, Method 1 yielded differences in ${\varphi }_{Ph}$ of 0–18% between the large and small areas, whereas Method 2 yielded differences of 1–10% for the same areas, with differences of $\le$6% for all but one sample (Supplementary Material C). This suggests that some natural variability exists within samples and results depend to a limited extent on the choice of analyzed area within samples (e.g., whether the area is large enough to capture the largest phenocrysts), but also that Method 2 was more reproduceable than Method 1 for this suite of samples. We therefore selected the results of Method 2, and used the mean of results for the large and small areas to obtain ${\varphi }_{Ph}$. We estimate a maximum error of $\sim$10% based on the results of Method 2 and note that our results more likely overestimate the phenocryst area due to a small amount of groundmass being erroneously attributed to the phenocryst fraction in the image analysis.

SO₂ Fluxes

Galeras volcano has been continuously monitored by the SGC since 1988 (Narváez Medina et al., 2017). The SGC provided SO₂ flux data covering the Aug. 2004–Jan. 2010 period of activity (Figure 1D), which included 17 Vulcanian explosions and two episodes of lava dome effusion (Narváez Medina et al., 2017; Vargas and Torres, 2015). As the catalog of data is incomplete prior to the first explosion (11–12 Aug. 2004), and as a repose time (defined as the time between a Vulcanian explosion and the previous one) for this explosion is difficult to define, the time period prior to that date was discounted from this analysis. The remaining SO₂ time series (Supplementary Material D) was used to obtain a first-order estimate of the magnitude of the gas flux from the shallow conduit during the repose period prior to each explosion. The SGC used a COSPEC (Correlation Spectrometer) during traverses beneath the wind-blown gas plumes to estimate SO₂ fluxes until July 27, 2006. Thereafter, SO₂ fluxes were measured using a DOAS (Differential Optical Absorption Spectrometry) instrument (Figure 1D), typically by scanning the plume from a single vantage point, but traverses were also occasionally undertaken. Where several flux measurements existed in the time series for a single day, the measurements for that day were averaged. The mean of the ten largest daily fluxes over the repose period prior to a Vulcanian explosion was then taken as a first-order proxy for the magnitude of the SO₂ flux during that time (Supplementary Material D). It should be noted that the scanning DOAS instrument is installed to the west of the main crater and measurements are dependent on environmental conditions such as the presence of daylight, cloud cover, wind direction and wind speed, therefore some SO₂ fluxes may not be recorded by the instrument as a result of these limitations. In addition, during 2004–2006, prior to the implementation of the DOAS instrument, SO₂ flux measurements were not recorded every day (Figure 1D), therefore the average SO₂ flux results for 2004–2006 reflect a lower temporal resolution than for 2007–2010.

Results

High-Temperature Rheometry Tests

The mechanical data from the rheometry tests show that each sample responded in a similar fashion to deformation (Figure 4A). Upon the application of the first constant strain rate ($\dot{\epsilon }$= 10^–6 s⁻¹), stress increased non-linearly with strain until samples reached a peak stress that characterized the shear conditions. Upon the application of higher strain rates ($\dot{\epsilon }$ = 10^–5 s⁻¹, followed by $\dot{\epsilon }$ = 10^–4 s⁻¹), stress again accumulated non-linearly until a new steady-state was achieved. All samples reached higher stresses upon application of higher strain rates (Figure 4A). Each sample showed a slightly different magnitude of stress-strain response to the imparted strain rates, highlighting a range of rheological behaviors under similar deformation conditions. Although the samples commonly achieved a steady-state, some samples eventually exhibited strain weakening after a period of deformation at the highest applied strain rates, characterized by decreasing shear resistance as strain accumulated (e.g., GAL4; Figure 4A). The apparent viscosity computed for each applied condition decreased linearly as a function of applied strain rate (Figure 4B), and this characteristic shear-thinning behavior was observed for all samples. Data from all tests are provided in Supplementary Material E.

FIGURE 4

FIGURE 4. Results of the material properties tests on Galeras samples. (A) Stress-strain curves calculated from the high-temperature rheometry tests. Each sharp inflection corresponds to the application of a higher strain rate ($\dot{\epsilon }$ = 10^–6, 10^–5, 10^–4 s⁻¹). Note that the drop in stress at the transition from 10^–5 to 10^–4 s⁻¹ for GAL6 results from slight unloading of the sample prior to the instrument imparting the final strain rate. (B) Apparent viscosity (${\eta }_a$) calculated at the three different strain rates ($\dot{\epsilon }$) imparted during the rheometry tests. Dashed lines correspond to the best fit power law relationship between strain rate and apparent viscosity for each sample. The black line corresponds to the non-Newtonian rheological law for high-crystallinity dome lavas by Lavallée et al. (2007). (C) Permeability ($\kappa$) and connected porosity (${\varphi }_c$) of the samples measured before (circles) and after (triangles) the high-temperature experiments. Dashed lines highlight the changes in these properties due to deformation. (D) Changes in permeability (where $\mathrm{\Delta }\kappa =final \kappa -initial \kappa$) as a result of deformation, compared with the initial connected porosity. (E). Apparent viscosity measured at the three imparted strain rates, compared with the changes in connected porosity (where $\mathrm{\Delta }{\varphi }_c=final {\varphi }_c-initial {\varphi }_c$) as a result of deformation.

Porosity, Permeability and Volume Changes

Prior to deformation, the samples showed a wide range of permeabilities ($\kappa =$1.72 $\times$ 10^–17 – 3.39 $\times$ 10^–13 m²), over the measured connected porosity span (${\varphi }_c$= 2–26%). Measurements of these properties following deformation show that the connected porosity and permeability of most samples increased (Figure 4C). Only one sample (GAL16) showed a small decrease in connected porosity and two samples (GAL6 and GAL8) showed decreases in permeability (Figure 4C). For the samples that showed a permeability increase, the change ($\mathrm{\Delta }\kappa =final \kappa -initial \kappa$) was greater for samples with higher initial porosity (Figure 4D). The samples also experienced a change in connected porosity ($\mathrm{\Delta }{\varphi }_c=final {\varphi }_c-initial {\varphi }_c$) as they deformed from cylinders to barrels (Figure 4E) proportional to the change in sample volume (Supplementary Material A). The samples that displayed the highest apparent viscosities (${\eta }_a=$0.5–1.2 $\times$ 10¹² Pa s at a strain rate of 10^–6 s⁻¹) displayed the greatest changes in connected porosity ($\mathrm{\Delta }{\varphi }_c=$5–20%; Figure 4E), whereas samples with lower apparent viscosities (${\eta }_a=$0.5–3 $\times$ 10¹¹ Pa s at a strain rate of 10^–6 s⁻¹) showed more modest changes in connected porosity ($\mathrm{\Delta }{\varphi }_c$<5%; Figure 4E).

Plagioclase Micro-Textures

The samples exhibit a range of micro-textural parameters in 2D ($N_A$ and mean crystal area) and 3D ($n_0$, $N_V$, $L_c$, and $S/L$) (Figures 5, 6, Supplementary Material C). The natural logarithm of $n_0$, $\ln n_0$, varies between 17.6 and 21.6 and represents a useful metric to track variations in other micro-textural parameters as it is proportional to crystal nucleation rate and inversely proportional to growth rate (Cashman, 1988). To a first order, changes in $\ln n_0$ therefore track changes in $\mathrm{\Delta }T$ in this sample set (Figure 5). Accordingly, samples with higher $n_0$ feature a higher plagioclase microlite number density, as measured through $N_A$ and $N_V$, but a lower mean crystal area and characteristic crystal size ($L_c$) (Figures 6A–D). In addition, the 3D aspect ratio of plagioclase microlites from CSDslice (Morgan and Jerram, 2006), measured through $S/L$, ranges between 0.1 and 0.2 for samples with low $n_0$ ($\ln n_0=17–20$), indicating a prismatic morphology (Figures 6F,G). Samples with higher $n_0$ ($\ln n_0>20$) are characterized by $S/L$ ranging between 0.3 and 0.5, indicating a more tabular morphology. The groundmass crystallinity ($\varphi$), does not vary systematically with $n_0$ (Figure 6E).

FIGURE 5

FIGURE 5. Representative high magnification ($\times$1,500) BSE (back-scattered electron) images of the groundmass of the selected bomb samples from Galeras volcano, organized by ascending plagioclase microlite ln $n_0$. In these images, groundmass glass and plagioclase crystals appear in similar shades of dark gray, vesicles and microcracks appear black, pyroxene crystals appear light gray and Fe-Ti oxide crystals appear white. The complete analyzed groundmass areas are provided along with plagioclase microlite tracings in Supplementary Material B.

FIGURE 6

FIGURE 6. Plagioclase microlite textural results; previously published results for similar samples from the study of Bain et al. (2019a) are shown in gray. (A). Microlite areal number density ($N_A$), (B) microlite volumetric number density ($N_V$), (C) mean crystal area, (D) microlite characteristic length ($L_C$), (E) plagioclase groundmass crystallinity ($\varphi$), and (F) best-fit 3D microlite aspect ratio ($S/L$) from CSDslice (Morgan and Jerram, 2006), all compared with the nuclei population density ($n_0$). $N_A$, the mean crystal area and $\varphi$ are 2D textural parameters and $n_0$, $N_V$, $L_C$ and $S/L$ are 3D textural parameters. (G) Comparison of the 3D microlite S/L (short axis/long axis) and I/L (intermediate axis/long axis) from CSDslice (Morgan and Jerram, 2006); representative crystal shapes are shown for illustration, and the corresponding best-fit crystal axes are shown in brackets (S:I:L).

Comparison Between Plagioclase Micro-textures and Viscosity

A comparison of the micro-textural results with the measured apparent viscosities shows that the data display some scatter (Figure 7), as expected from natural samples with complex viscosity dependencies. However, samples characterized by higher $\ln n_0$ (and therefore higher $N_A$, $N_V$ and $S/L$, and lower mean crystal area and $L_c$) generally display a lower apparent viscosity at a given strain rate compared to samples with lower $n_0$ (Figures 7A–E,G). Samples with a lower groundmass crystallinity, $\varphi$, also display a lower apparent viscosity (Figure 7F). In addition, samples with higher $\ln n_0$ typically have a higher groundmass maximum packing fraction (${\varphi }_m$; Figure 8A). For each sample, comparing the observed groundmass crystallinity to the theoretical groundmass maximum packing fraction, $\varphi /{\varphi }_m$, demonstrates that samples with a higher apparent viscosity display a crystallinity that is closer to ${\varphi }_m$ (Figure 8B), consistent with the interpretation that variations in crystal micro-textures impose constraints on the observed viscosity spectrum.

FIGURE 7

FIGURE 7. Apparent viscosity (${\eta }_a$) of each sample, measured at each applied strain rate (see legend) during the high-temperature experiments, compared with the samples’ plagioclase microlite textural characteristics. (A) Microlite areal number density ($N_A$), (B) microlite volumetric number density ($N_V$), (C) nuclei population density ($n_0$), (D) mean crystal area, (E) microlite characteristic length ($L_C$), (F) plagioclase groundmass crystallinity ($\varphi$), (G) best-fit 3D microlite aspect ratio ($S/L$).

FIGURE 8

FIGURE 8. Relationship between the samples’ crystal micro-textures, their measured apparent viscosity, and the groundmass maximum packing fraction. (A) Maximum packing fraction of the groundmass (${\varphi }_m$), calculated using the model of Klein et al. (2018), for samples with different nuclei population densities ($n_0$). (B) Ratio of the groundmass plagioclase crystallinity of each sample ($\varphi$) to its groundmass maximum packing fraction, compared with the measured apparent viscosity at each of the applied strain rates.

Relationships Between Phenocrysts, Melt Viscosity, Porosity and Apparent Viscosity

The samples range in phenocryst content from 44% to 61%, and the data do not show a clear correlation between the phenocryst content and the apparent viscosity measured at a given strain rate (Figure 9A). All groundmass glasses are rhyolitic in composition, with 73.8–78.5 wt% SiO₂ and NBO/T (non-bridging oxygen to tetrahedra ratio; calculated using the method described in Mysen and Richet, 2019) in the range 0.01–0.06 (analytical results and melt viscosity calculations are provided in Supplementary Material F). The apparent and relative viscosities, ${\eta }_a$ and ${\eta }_r$, display a linear relationship (Figure 9B), demonstrating that the observed differences in apparent viscosity between samples (at a given strain rate) is more likely controlled by physical attributes of the multiphase suspensions than differences in interstitial melt composition.

FIGURE 9

FIGURE 9. Effect of the phenocryst fraction, melt viscosity and initial porosity on the apparent viscosity. Apparent viscosity (${\eta }_a$) of each sample, measured at each applied strain rate (see legend), is compared with: (A) the phenocryst content (${\varphi }_{ph}$) obtained from image analysis, (B) the calculated relative viscosity (${\eta }_r$), and (C) the initial connected porosity (${\varphi }_c$).

Comparing the initial connected porosity of the samples with the measured apparent viscosity (Figure 9C) indicates two groups of samples with similar trends. Samples with low connected porosities (${\varphi }_c=0–20\%$) displayed higher viscosities, and showed both increasing apparent viscosity (at a given strain rate) and increasing strain rate-dependence of viscosity with increasing porosity. Samples with higher connected porosities (${\varphi }_c>20\%$) displayed lower apparent viscosities (Figure 9C) and also showed increasing apparent viscosity (at a given strain rate) with increasing porosity, but without an increasing dependence of viscosity on strain rate.

Viscosity Model Analysis

The relationship between stress ($\sigma$) and the resulting strain rate for each sample during the high-temperature deformation experiments can be described by the following power law relationship (Ostwald, 1925):

$\sigma =\text{k} {\dot{\epsilon }}^{\text{n}}[2]$

where $\text{k}$ (in Pa sⁿ) and $\text{n}$ are the Ostwald and non-Newtonian constants, respectively. $\text{k}$ is sometimes referred to as the consistency and is cognate with viscosity (Mueller et al., 2011a), whereas $\text{n}$ is a measure of the deviation from linearity of the stress–strain rate relationship (Newtonian fluids have $\text{n}$ = 1, indicating a linear increase in strain rate with increasing stress; shear-thinning fluids have $\mathrm{n}$ <1, indicating a power law increase in strain rate with increasing stress). As the samples all display shear-thinning behavior (High-Temperature Rheometry Tests), the best-fit power law relationship between stress and strain rate can be used to estimate $\text{n}$ and $\text{k}$ for each sample (Supplementary Material G). By then fitting logarithmic relationships to the variation in $\text{n}$ and $\text{k}$ with $n_0$ (Figure 10A,B, respectively), we found that both $\text{n}$ and $\text{k}$ share relationships with $n_0$. Thus, $n_0$ may be used to parameterize the apparent viscosity of the tested Galeras samples with quantified plagioclase micro-textural properties:

$\text{n}=0.077 \ln n_0-0.8[3]$

and

$\text{k}=3.894\times {10}^9\ln n_0- 6.479 \times {10}^{10}[4]$

FIGURE 10

FIGURE 10. Viscosity modeling of time-constrained samples from 2004–2010 based on the micro-textural and rheological properties of the samples tested in this study. (A,B) Non-Newtonian ($\text{n}$) and Ostwald ($\text{k}$) constants from the stress–strain rate relationships obtained from the high-temperature experiments, plotted against the plagioclase nuclei population density ($n_0$). Dashed lines represent the best-fit logarithmic relationships. (C) Modeled apparent viscosity (${\eta }_a$) for time-constrained samples (dates shown as dd/mm/yy) with known $n_0$ from the study of Bain et al. (2019a), calculated from the relationships shown in (A) and (B) and Eq. 2. The apparent viscosity for each sample was modeled at three strain rates ($\dot{\epsilon }$, see legend). The maximum estimated error on viscosity based on the errors on k and n is shown by the light gray area.

The obtained relationship between $\text{n}$ and $n_0$ has a root mean square error (RMSE) of 0.091 and the relationship between $\text{k}$ and $n_0$ has an RMSE of 3.756 $\times$ 10⁹ Pa sⁿ. These relationships assume that the effects of the concurrent variations in microlite textural characteristics, crystal size distribution, porosity, melt composition and phenocrysts are taken into account by the fitting parameters, and provide a simple empirical model to estimate the strain-rate dependent flow curves of Galeras samples with known $n_0$.

To model viscosity for samples from the 2004 to 2010 explosions with known eruption dates, we used $\ln n_0$ from the micro-textural dataset of Bain et al. (2019a) and applied Eqs. 3, 4 to obtain $\text{n}$ and $\text{k}$ for each sample. By then applying Eq. 2 to calculate the stress at three different strain rates ($\dot{\epsilon }=$10^–6, 10^–5, and 10^–4 s⁻¹) and assuming that ${\eta }_a=\sigma /\dot{\epsilon }$ (Caricchi et al., 2007), we then modeled the strain rate-dependent apparent viscosity of the time-constrained samples (Figure 10C). These calculations show that samples with high $n_0$ ($\ln n_0\sim 21$) that erupted in 2009–2010 have the lowest modeled apparent viscosities (1–3 $\times$ 10¹¹ Pa s over the modeled range of strain rates, 10^–6 to 10^–4 s⁻¹, chosen to reflect the experimental conditions, which are appropriate for magma deformation in the shallow conduit; Figure 10C). In contrast, time-constrained samples with low $n_0$ ($\ln n_0\sim 17$) that erupted in 2006 have higher modeled apparent viscosities (2 $\times$ 10¹¹–2 $\times$ 10¹² Pa s), and the predicted viscosity difference between samples with low and high $n_0$ is especially marked at low strain rates (e.g., 10^–6 s⁻¹; Figure 10C). In addition, these trends persist when taking into account the error on the relationships in Eqs. 3, 4 (Figure 10C and Supplementary Material G). For example, negative errors on n and positive errors on k lead to estimated viscosities that are 0.5–1 log units higher than the modeled viscosities discussed above (upper limit of gray area in Figure 10C), with the greatest error on the samples with low ln $n_0$ at low strain rates. We note however that this error leads to apparent viscosities of up to >10¹³ Pa s, which is $\sim$1 order of magnitude greater than the highest viscosities measured in our high-temperature experiments. The error in the model toward higher viscosities is therefore unlikely to be so high, and the model likely performs well in estimating the high viscosities expected at low strain rates at Galeras. Conversely, positive errors on n and negative errors on k lead to estimated viscosities that are 0.5–1 log units lower than the modeled viscosities (lower limit of gray area in Figure 10C), with the greatest error on samples with low ln $n_0$ at the highest strain rates (the low viscosity error on the sample with the lowest ln $n_0$ was not quantifiable, see Supplementary Material G). We note that the model more poorly reproduces the lowest viscosities measured in our high-temperature experiments at the highest strain rates (i.e., estimates a lowest modeled viscosity of $\sim$10¹¹ Pa s compared to a lowest measured viscosity of $\sim$10¹⁰ Pa s in our experiments). The model may therefore overestimate viscosities by up to $\sim$1 order of magnitude at the highest strain rates. Interestingly, the slight inflection in viscosity at high strain rates that appears in our modeled data at a value of ln $n_0\sim$18.3 (Figure 10C) is more marked and occurs at ln $n_0\sim$19 when considering the maximum error on the lowest viscosities. This inflection could imply more complex dynamics for samples with very low ln $n_0$ at high strain rates and merits further investigation that is outside the scope of this study. Overall, the error in the model does not significantly impact our modeled viscosity results and tends to compound the observed variations between magma viscosity in 2004–2006 compared to 2009–2010.

We also compared $\text{k}$ and $\text{n}$ for the samples tested in this study with the observed connected porosity changes to investigate how rheology is related to the changes that took place during deformation. The high-viscosity samples that displayed the greatest shear-thinning behavior (i.e., $\text{n}\le 0.6$) and a low consistency (k) showed the greatest increases in ${\varphi }_c$ (Figure 11). In contrast, the lower-viscosity samples that displayed less shear-thinning behavior ($\text{n}$ > 0.7) showed more modest increases in ${\varphi }_c$. Thus, the sample rheology impacted the evolution of connected porosity during deformation.

FIGURE 11

FIGURE 11. Comparison of the samples’ rheological parameters with physical changes due to deformation. (A) The Ostwald ($\text{k}$), and (B) non-Newtonian ($\text{n}$) constants compared with the changes in connected porosity ($\mathrm{\Delta }{\varphi }_c$) as a result of deformation.

Comparison of Modeled Apparent Viscosities With Monitoring Data

As the rheological properties of magma control the evolution of densification and, thus, permeability in the upper conduit, we now compare the monitored changes in explosion characteristics, lava dome growth and gas emissions in 2004–2010 with the apparent viscosities modeled in the previous section. We choose to compare gas emissions rather than permeability with viscosity, as permeability is highly variable, scale dependent, and importantly, transient in nature; yet, sustained gas emissions are congruent with a magma that retains permeability and does not rapidly yield to external compressive stresses, which is dictated by viscosity (cf. Ashwell and Kendrick et al., 2015). In 2004–2006, relatively small-volume explosions (0.08–1.2 $\times$ 10⁶ m³; Vargas and Torres, 2015; Narváez Medina et al., 2017) occurred at Galeras, ejecting samples with the highest modeled viscosities (Figure 12). These explosions were preceded by high average SO₂ fluxes ($\sim$7,000–9,000 tons/days), and lava dome growth was observed for a short period of time between 13 January and end of March 2006 (no lava dome was present in the crater prior to this date, yet two Vulcanian explosions occurred; Figure 12). In contrast, in 2009, frequent and comparatively higher volume explosions (0.063–3.56 $\times$ 10⁶ m³; Vargas and Torres, 2015; Narváez Medina et al., 2017) ejected samples with the lowest modeled viscosities (Figure 12). These explosions were preceded by considerably lower average SO₂ fluxes ($<$500 tons/day) and destroyed a pre-existing lava dome. In 2008, a transition period between these two end-member phases occurred, with low average SO₂ fluxes ($\sim$1,000 tons/day) and a single Vulcanian explosion that ejected samples with an intermediate modeled viscosity, which was followed by the extrusion of a lava dome (Figure 12). The dataset therefore suggests that the explosion periodicity scales with magma viscosity (lower frequency, higher viscosity), which is also inversely related to the erupted volume (lower frequency, smaller volume).

FIGURE 12

FIGURE 12. Eruption regimes based on the relationship between the modeled magma viscosity, the SO₂ fluxes in the repose periods prior to Vulcanian eruptions, and the volume of erupted material during the 2004–2010 eruptive period at Galeras volcano. The timeline shows the volume of material ejected during Vulcanian explosions (bars; red corresponds to explosions with magma viscosity estimations), the average SO₂ flux (blue circles) calculated over the repose period prior to each explosion with available time-constrained samples, and the modeled apparent viscosity from Figure 10C (${\eta }_a$, shown at near-static conditions of $\dot{\epsilon }$ = 10^–6 s⁻¹ to highlight the effect of the varying properties of the crystal cargo on the macroscopic rheology without considering additional effects related to strain rate; purple stars). The “inefficient densification” phase occurred when magma with a high ${\eta }_a$ occupied the shallow conduit, gas escaped comparatively freely and dome-building occurred. A transition phase occurred when magma with a lower ${\eta }_a$ entered the shallow conduit and gas escape became more restricted. Finally, an “efficient densification” phase occurred when magma with the lowest ${\eta }_a$ promoted rapid plug formation with low SO₂ fluxes from the conduit. The sequence of Vulcanian explosions ceased when the magma supply from depth dwindled.

As mentioned in SO₂Fluxes, the SO₂ flux monitoring data from 2004 to 2006 reflect a lower temporal resolution than for 2007–2010. However, we judge that this difference does not impact our conclusions regarding outgassing patterns over time from the Galeras conduit for the following reasons. 1) Despite the difference in resolution, very large fluxes up to 18,622 tons/day were recorded in 2004–2006, whereas the largest flux recorded in 2009 was 9,300 tons/day, with most measurements recording much lower fluxes (Figure 1D). The conduit was therefore clearly more open for degassing in 2004–2006 compared to 2009. 2) Here we use the average of the ten largest SO₂ fluxes in the repose period prior to a Vulcanian explosion as a first-order measure of the maximum extent to which the conduit was open to gas flux. In reality permeability in the conduit is transient and cycles of decreasing SO₂ flux prior to an explosion, followed by high flux immediately following an explosion, are well-documented at Galeras (e.g., Fischer et al., 1994; Cortés and Raigosa, 1997). Our chosen measure therefore captures only the average maximum flux during a given repose period, to provide an estimate of the maximal magma permeability prior to densification and plug-formation. We note that taking the single largest flux, or the mean of the largest five or ten flux measurements, does not change the observed pattern of high emissions in 2004–2006 and lower emissions in 2008–2009 (Supplementary Material D).

Discussion

We now summarize our interpretations and reconcile our multi-parametric dataset to propose a unifying model for the observed eruption dynamics at Galeras in 2004–2010.

Relationship Between Plagioclase Micro-Textural Characteristics and Rheology

The range of plagioclase micro-textural parameters in our sample set suggests crystallization over a range of effective undercooling, $\mathrm{\Delta }T$. The samples cover broadly the same range in plagioclase microlite textural characteristics and show the same relationships as other analyzed dense and scoriaceous samples from the 2004 to 2010 period of activity of Galeras (Figure 6; Bain et al., 2019a). The samples therefore adequately reflect the typical range of micro-textural characteristics observed in erupted products from this period. The parameter $n_0$ is proportional to crystal nucleation rate and inversely proportional to growth rate (Cashman, 1988), and therefore represents a useful metric to assess variations in $\mathrm{\Delta }T$ in this sample set, as a proxy for undercooling and, by extension, decompression rate. As $N_A$, $N_V$, mean crystal area, $L_C$ and $S/L$ vary systematically with $n_0$ (Figure 6), $n_0$ also represents a useful parameter for tracking multivariate changes in plagioclase microlite textural characteristics. The groundmass crystallinity is also expected to be an important textural control on magma rheology, but $\varphi$ does not vary systematically with $n_0$ as both high growth rates characteristic of low $\mathrm{\Delta }T$ and high nucleation rates characteristic of higher $\mathrm{\Delta }T$ can increase $\varphi$. The plagioclase nuclei population density $n_0$ is therefore considered to be the best metric to track both the variations in undercooling driven by changes in decompression rate, and the resulting changes in the plagioclase microlite characteristics.

The samples exhibited a range of apparent viscosities at a given strain rate, which correlate with the observed variations in micro-textural characteristics. Samples with micro-textures characteristic of crystallization under high degrees of $\mathrm{\Delta }T$ (i.e., high $n_0$) exhibited lower apparent viscosities at a given strain rate than samples that crystallized under lower degrees of $\mathrm{\Delta }T$ (Figure 7). In addition, the samples exhibited a range of viscosity relationships with strain rate. The observed behavior was compared with the empirical shear-thinning rheological model of Lavallée et al. (2007) for high-crystallinity dome lavas (black line in Figure 4B):

$\log {\eta }_a=-0.993+\frac{8974}{T}-0.543\times \log \dot{\epsilon }[5]$

where $T$ is the temperature (in °C). The samples displaying higher viscosities showed a viscosity magnitude and shear-thinning behavior that agree well with the model (Figure 4B), which was developed to resolve the strain-rate dependence of apparent viscosity for four chemically contrasting dome lavas, as they displayed similar behavior and a narrow apparent viscosity range ($\sim$0.5 log units at a given strain rate; Lavallée et al. (2007)). In our dataset however, some samples displayed viscosities that are lower than the ± 0.25 log unit described in Lavallée et al. (2007), as well as showing a weaker dependence of apparent viscosity on strain rate (lower curves in Figure 4B, high $\text{n}$ in Figure 10A). Together, these observations suggest that the samples that crystallized under lower degrees of $\mathrm{\Delta }T$ have a rheology consistent with material that routinely erupts effusively in the form of lava domes at andesitic arc volcanoes. In contrast, samples that crystallized under higher degrees of $\mathrm{\Delta }T$ have a rheology that cannot be adequately described using relationships established from previous experiments on dome rocks. This indicates that chemically similar magmas evolve physically, and thus rheologically, in contrasting manners during ascent at variable rates, which should be expected to impact eruptive activity.

Material Evolution During High-Temperature Deformation

The samples can be divided into two rheological groups that responded differently to deformation. The group of samples with the highest apparent viscosities (GAL4, GAL6, GAL7) experienced the largest increases in connected porosity, i.e., through dilation, as a result of the imparted strain (Figure 4E). The group with lower viscosities showed only modest dilation (GAL5, GAL8, GAL14, GAL18), and in one instance, a small reduction in connected porosity, i.e., compaction (GAL16). Changes in permeability as a result of deformation appear to be related to the initial porosity, with more porous samples experiencing larger increases in permeability (Figure 4D). Samples GAL6 and GAL8 are outliers that displayed a significant permeability decrease despite recording a slight (GAL8) to moderate (GAL6) porosity increase following high-temperature deformation. As a through-going micro-fracture was identified in the high-resolution scan of the GAL8 thin section, we interpret these observations as the result of pre-existing micro-fractures that enhanced the original permeability of these samples by up to two orders of magnitude compared to samples with a similar connected porosity (Bain et al., 2019b). Such pre-existing micro-fractures are likely to have healed during the high-temperature deformation (e.g., Lamur et al., 2019), which could cause the observed decrease in permeability with little impact on porosity.

Our viscosity modeling also revealed that the samples that showed the greatest dilation (increases in ${\varphi }_c$) displayed the most shear-thinning behavior (Figure 11B). Together, these observations suggest that the samples did not deform in a purely viscous regime, and brittle behavior occurred, enhanced by the presence of rigid crystals (Kendrick et al., 2013) and vesicles that act to concentrate stresses in bubble walls (Coats et al., 2018; Figure 4D). The greater dilation in samples with higher viscosity suggests that these samples experienced more extensive micro-fracturing, and these samples were notably more friable once cooled, following the high-temperature experiments. We therefore suggest that a transition in rheological behavior – from deformation characterized by viscous flow with small amounts of micro-cracking and modest dilation, to highly non-Newtonian deformation characterized by extensive micro-cracking and large increases in connected porosity – occurs in the range n = 0.6–0.72 (for the range of strain rates and strains investigated in this study). Using Eq. 4, this corresponds to a transition at a nuclei population density of $\text{ln }{n}_0 \sim$18.20–19.76.

Rheology of the Magmatic Plugs at Galeras Volcano

The rheological constraints on plug- and dome-forming Galeras magma obtained in this study reveal viscosity variations over more than one order of magnitude at a given strain rate. However, there is no systematic control of the phenocryst fraction on the apparent viscosity in our dataset (Figure 9A). Viscosity differences imposed by compositional variations of the rhyolitic interstitial melt phase in these samples also cannot explain the observed viscosity span (Figure 9B). There is a possible weak relationship between the sample porosity and apparent viscosity (Figure 9C), suggesting that a higher initial porosity may slightly increase viscosity, possibly as a result of the creation of isolated porosity during porous network compaction. However, monitoring the changes in the connected porosity of the samples as a result of deformation reveals two rheological groups with the following characteristics: 1) GAL4, GAL6, GAL7 – high viscosity, highly shear-thinning, high dilation; 2) GAL5, GAL8, GAL14, GAL16, GAL18 – lower viscosity, less shear-thinning, lower dilation. These groups are also related to variations in the plagioclase micro-textures: 1) GAL4, GAL6, GAL7 – low $n_0$, $N_A$ and $N_V$, high mean crystal area and $L_c$, prismatic morphology (low $S/L$); 2) GAL5, GAL8, GAL14, GAL16, GAL18 – higher $n_0$, $N_A$ and $N_V$, lower mean crystal area and $L_c$, more tabular morphology (higher $S/L$, with the exception of GAL8 and GAL18). The correspondence of these textural and rheological groups is striking and suggests that the observed apparent viscosity differences are predominantly related to variations in the textural characteristics of the plagioclase microlites.

Our observations therefore allow the macroscopic rheological behavior of plug- and dome-forming magma to be linked with the micro-textural characteristics of the dominant groundmass phase produced by decompression-driven degassing. Bain et al. (2019a) found that dense and scoriaceous Galeras samples that crystallized under high $\mathrm{\Delta }T$ host high numbers of small, tabular microlites (eg ln$n_0=$ 20.85–20.95, $N_V=$ 3.07–3.34 $\times$ 10⁶ mm⁻³, $L_c=$ 3 μm, and$S/L=$ 0.45–0.48 in the Feb. 20, 2009 and Jan. 2, 2010 eruptions) resulting from rapid magma ascent rates that imparted an average decompression rate of $\sim$10 MPa/h. Samples that crystallized under lower $\mathrm{\Delta }T$ host lower numbers of large, prismatic microlites (e.g., ln$n_0=$ 17.39–18.17, $N_V=$ 3.66–5.55 $\times$ 10⁵ mm⁻³, $L_c=$ 7–10 μm, and $S/L=$ 0.13–0.22 in the July 12, 2006 eruption) resulting from more modest ascent rates that imparted an average decompression rate of $\sim$1 MPa/h (see further discussion of these decompression rates in A Unifying Conceptual Model for Vulcanian Explosion Dynamics at Galeras). Our results therefore suggest that samples that experienced higher decompression rates formed magma plugs with lower apparent viscosities as a direct result of those micro-textural characteristics. Conversely, samples that experienced lower decompression rates formed magma plugs with comparatively higher apparent viscosities, with a highly non-Newtonian behavior consistent with published relationships for high-crystallinity dome lavas (Lavallée et al., 2007; Figure 4B). These samples also deformed via greater proportions of micro-cracking, demonstrating more dilatant behavior. Systematic variations in plagioclase microlite number density, size and aspect ratio resulting from differences in decompression rate may therefore exert an important control on the rheology of intermediate composition magmas, by changing the nature and frequency of particle-melt and particle-particle interactions (Mueller et al., 2011b; Klein et al., 2017; Klein et al., 2018).

Influence of Magma Rheology on Eruption Dynamics in 2004–2010

Acquiring a number of large time-constrained samples for analyses and material properties testing is an enduring challenge in volcanology, which motivates studies cross-correlating relationships across broader suites of samples (cf. Harnett et al., 2019; Wallace et al., 2020), such as in the present study. In the case of Galeras volcano, a limited, highly valuable suite of time-constrained samples from the SGC collection was analyzed in previous studies (Bain et al., 2019a; Bain et al., 2019b), and here we used additional samples from the same period for this rheological investigation. By estimating the apparent viscosity of time-constrained samples (Figure 10C) based on existing micro-textural data (Bain et al., 2019a), variations in magma rheology in 2004–2010 can be linked with observations made by the SGC during the volcanic crisis.

The andesitic magma erupted at Galeras in 2004–2010 was degassed and highly crystalline (Bain et al., 2019a), consistent with extensive decompression-driven crystallization. When such magma stalls in a shallow volcanic conduit, gas bubbles are essentially immobilized in the crystal-rich slurry due to its high viscosity (Stix et al., 1997) and outgassing occurs through the creation of permeable pathways formed by connected bubbles and cracks (e.g., Westrich and Eichelberger, 1994; Edmonds et al., 2003). However, despite the overall very high viscosity of the magma erupted at Galeras in 2004–2010, our results indicate important second-order viscosity variations related to a spectrum of “low”- ($\sim$10¹¹ Pa s at near-static conditions of $\dot{\epsilon }={10}^{-6}$ s⁻¹) to “high”-viscosity ($\sim$10^12.5 Pa s at $\dot{\epsilon }={10}^{-6}$ s⁻¹) behavior, which are predominantly caused by differences in the magma’s petrological properties and are linked with variations in eruption style. In 2009–2010, the emplacement of comparatively low-viscosity magma plugs was associated with frequent, large-volume explosions preceded by low average SO₂ fluxes from the conduit (Figure 12). As low-viscosity magma should facilitate deformation and promote compaction, we suggest that efficient densification restricted outgassing pathways, rapidly leading to the development of critically high pore pressures capable of driving Vulcanian explosions (cf. Spieler et al., 2004). An example of this behavior was the explosion that occurred on Jan. 2, 2010 (Figure 12). This explosion was preceded by a short repose time (43 days) and a low average SO₂ flux (440 tons/day), suggesting that the conduit pressurization timescale was short due to the existence of a low-permeability plug. In contrast, the emplacement of higher viscosity magma plugs during 2004–2006 was associated with infrequent, low-volume explosions preceded by higher average SO₂ fluxes, suggesting inefficient densification and comparatively open outgassing pathways. For example, the explosion that occurred on July 12, 2006 partially destroyed the lava dome that appeared in Jan. 2006 (Figure 12). This explosion was preceded by a long repose time (230 days) and a high average SO₂ flux (6,690 tons/day), suggesting that magma densification was sluggish, magma permeability was high and outgassing pathways were open, leading to long timescales for pressurization of the upper conduit.

A Unifying Conceptual Model for Vulcanian Explosion Dynamics at Galeras

The multi-parametric findings presented in this study advocate for explicit relationships between magma decompression rate, its physical and thus rheological evolution, outgassing, eruption style and explosion recurrence rate. Based on a comparison of Galeras crystal micro-textures ($N_A$ and $\varphi$) with the results of decompression experiments on hydrous rhyodacite by Brugger and Hammer (2010b), Bain et al. (2019a) estimated that average decompression rates evolved from $\sim$1 MPa/h at the onset of the eruptive phase to $\sim$10 MPa/h toward the end of 2009, though decompression rates at Galeras are generally uncertain due to scarce data. Although a more precise quantification of decompression rates is not yet available, we can reasonably consider that magma was decompressed at a higher average rate in 2009 than in 2004–2006, and we use the estimations of Bain et al. (2019a) to represent “low” ($\sim$1 MPa/h) and “high” ($\sim$10 MPa/h) decompression rates at Galeras. These decompression rates are low to moderate compared to decompression rates reported at other andesitic volcanoes straddling the effusive-explosive transition (Cassidy et al., 2018).

Magma plugs emplaced in the shallow conduit (<0.5 km) of Galeras following high average rates of decompression ($\sim$10 MPa/h) feature a groundmass with large numbers of small, tabular plagioclase crystals (Bain et al., 2019a; Figure 13A). Despite the abundance of microlites in the groundmass, crystal-crystal interactions are comparatively low in these magma plugs, setting a high potential maximum packing fraction in the magmatic suspension and producing a comparatively low apparent viscosity (modeled at $\sim$10¹¹ Pa s at near-static conditions of $\dot{\epsilon }={10}^{-6}$ s⁻¹). This low viscosity is compounded by the inherent moderately shear-thinning behavior of such magmas at the high strain rates expected from the inferred rapid magma ascent rates. This situation should promote rapid densification of the magma at shallow pressures, thus efficiently restricting permeable pathways, consistent with the low SO₂ fluxes monitored in 2009–2010 at Galeras. This is consistent with the study of Bain et al. (2019b), where samples with plagioclase micro-textures typical of high decompression rates were found to be associated with porous micro-textures characteristic of extensive densification and a low-permeability magma plug ($\sim$10^–16 m²). Under conditions of high effective undercooling resulting from such high decompression rates, crystallization is likely to continue within and below this low-permeability plug, driving further magma degassing but with a restricted ability to outgas. The low permeability of this plug material is likely to promote rapid development of the pore overpressure needed to trigger Vulcanian explosions (e.g., Mueller et al., 2008; Lavallée and Kendrick, 2020). Moreover, such dense plug material is likely to confer a high tensile strength to the magma (Hornby et al., 2019), requiring high pore overpressures to develop through gas accumulation below the plug to bring it to failure. This efficient “plug-forming” regime is therefore characterized by short repose times between explosions, large stress drops upon failure of strong dense magma, and high volumes of ejected material (Figure 13A). Consequently, during periods of high magma decompression and ascent rates, Vulcanian explosions are likely to become frequent (repose times of tens of days) and large ($\sim$10⁶ m³). These explosions are likely to be preceded by low measured SO₂ fluxes ($\sim$1,000 tons/day). In this regime, hazards associated with Vulcanian blasts, namely ballistic ejection and ash plumes, should be expected. As these explosions are likely to be large in magnitude, they may result in extensive destabilization of more vesicular magma residing deeper in the conduit and empty the conduit to significant depths, potentially feeding large eruption columns and column-collapse pyroclastic flows at the larger end of the explosivity spectrum. This latter scenario has not occurred at Galeras since the 1988 reactivation (there is evidence of pyroclastic flows in historic activity, most recently in 1936, but the mechanism of generation of these flows is unclear; Banks et al., 1997), however the pumice flows related to Vulcanian explosions at Soufrière Hills Volcano (Druitt et al., 2002) may represent an example of this deeper magma destabilization.

FIGURE 13

FIGURE 13. Summary diagrams showing the relationships between average magma decompression rate, petrological and rheological evolution, eruptive behavior and timescales. The sketch demonstrates how (A) “efficient densification” and (B) “inefficient densification” end-member rheological regimes are dictated by magma decompression rate and nucleation/crystallization kinetics (illustrated by the insets of plagioclase texture (in black)). This petrological evolution impacts magma rheology as (A) high crystal number densities (and other accompanying micro-textural attributes) favor comparatively lower viscosities, promoting densification and a low permeability that inhibits outgassing, causing explosions at an increasing recurrence rate. In contrast (B), slow decompression and ascent favor the crystallization of fewer larger crystals that promote magmas with high permeability and viscosity, conducive to protracted dome emplacement and extensive outgassing, which alleviate the periodicity of explosive events.

In contrast, magma plugs emplaced following low average rates of decompression ($\sim$1 MPa/h) feature a groundmass with low numbers of large, prismatic crystals (Bain et al., 2019a; Figure 13B). The phenocryst fraction is also likely to be higher in this magma, due to high crystal growth rates (Cashman, 2020) (this was not observed in our dataset, however we note that sample GAL5 features the highest microlite number density and the lowest phenocryst content, supporting the expectation that the phenocryst fraction will be lower in more rapidly decompressed samples). As the total crystallinity (microlites and phenocrysts) is likely to be high relative to the maximum packing fraction (at least compared to the plug materials formed during rapid ascent), slowly decompressed magma is likely to exhibit a comparatively high apparent viscosity (modeled at ∼10¹² Pa s at near-static conditions of 10^–6 s⁻¹). Crystal-crystal interactions are also comparatively high in these magma plugs, which therefore have a lower ${\varphi }_m$ (we estimate that the plagioclase crystal sizes and shapes produced under such decompression conditions at Galeras reduced ${\varphi }_m$ by ∼5%; Figure 8A). The viscosity contrast between magmas with these textural attributes and those encountered in plug materials having undergone rapid decompression is on the scale of an order of magnitude, implying that deformation timescales will be approximately ten times slower. Thus, on eruptive timescales, this high viscosity should result in inefficient magma densification in the shallow conduit, accompanied by a higher probability of deformation through micro-cracking due to the dilatant behavior identified in such samples. High-viscosity magmas are more likely to experience brittle failure at a given strain rate (e.g., Dingwell and Webb, 1989; Lavallée et al., 2008; Coats et al., 2018; Wadsworth et al., 2018) and in shallow magmatic environments, where large pore pressures can develop and external stresses are low (i.e., magmastatic and lithostatic loads), brittle behavior is most commonly dilatant, causing the creation of permeable pathways (e.g., Kendrick et al., 2013; Lavallée et al., 2013; Lavallée and Kendrick, 2020). In this regime, sluggish densification and increased micro-crack density should therefore promote gas fluxing through the shallow conduit, consistent with the high SO₂ fluxes monitored in 2004–2006 at Galeras. This is consistent with the results of Bain et al. (2019b), where samples with crystal micro-textures typical of low decompression rates were found to be associated with porous micro-textures that had not undergone significant densification and were characteristic of a comparatively high-permeability plug ($\sim$10^–12 m²). Under the low degrees of $\mathrm{\Delta }T$ imparted by low decompression rates, crystallization can continue within and below the high-permeability plug, driving further magma degassing, with abundant outgassing pathways that result in longer time periods for the necessary overpressure to build up and trigger a Vulcanian explosion. The high porosity of the magma plug indicates a comparatively lower tensile strength (Hornby et al., 2019), requiring lower pore overpressures to trigger the rupture of the plug. This regime of activity (Figure 13B) is therefore characterized by comparatively long repose times between explosions (hundreds of days), small stress drops due to the poor capacity to build pressure, and hence smaller ejected volumes ($\sim$10⁵ m³), preceded by high measured SO₂ fluxes ($\sim$10,000 tons/day).

Furthermore, the low strain rates associated with the inferred low ascent rates should promote a high apparent viscosity response in the magma characteristic of slowly-emplaced plugs (Figure 4B). As the rate-dependence of viscosity of these magmas is stronger (i.e., a lower n than for plugs formed by rapid decompression, indicating highly shear-thinning behavior), strain localization near conduit margins should be enhanced, increasing the likelihood of plug flow and a switch to effusive behavior promoting exogenous dome growth (e.g., Hale and Wadge, 2008). This may explain why rheological laws developed for high-crystallinity dome lavas (Lavallée et al., 2007) also appear well-suited to describing the behavior of magma plugs emplaced following low magma decompression rates. Magma deformation in these high strain zones is also more likely to undergo crystal interactions and brittle fracturing (Lavallée et al., 2007; Lavallée et al., 2008; Kendrick et al., 2017; Wallace et al., 2019), further enhancing outgassing and delaying the development of critical overpressure (e.g., Kendrick et al., 2013; Lavallée et al., 2013). The observed changes in connected porosity (Figures 11A,B) suggest that the most efficient outgassing conditions that might favor dome extrusion due to extensive micro-cracking occur when magma with a low nuclei population density (i.e., $\ln \left(n_0\right)$ below the identified transition at 18.20–19.76) is emplaced in the upper conduit, which agrees well with the range of $n_0$ for samples produced in explosions associated with the presence of lava domes at Galeras volcano (Bain et al., 2019a). This conceptual model ought to be tested against larger datasets, and expanded across different magma compositions (i.e., across the spectrum of plug-and dome-forming magmas from high-crystallinity basaltic andesite, to andesite and dacite) before it can be applied in a predictive fashion. However, we surmise that if this model is more broadly applicable, andesitic lava domes erupted during periods of cyclical Vulcanian explosions should generally be associated with small volume explosions and long repose times, except in cases where explosions are driven by sudden decompression resulting from lava dome collapse (e.g., Voight and Elsworth, 2000) or when high rates of secondary mineral precipitation reduce the lava dome permeability (e.g., Horwell et al., 2013; Heap et al., 2019).

Periods of low average magma decompression rate are therefore likely to be associated with lava dome extrusion and small-volume Vulcanian explosions, if the permeability of the dome and magma in the shallow conduit is insufficient to regulate pore pressures developing in deeper magma. In this “dome-forming” regime, Vulcanian blasts are likely to affect a comparatively restricted area around the vent due to their small magnitude, however hazards associated with dome collapse should be anticipated, namely block-and-ash flows and explosions driven by sudden decompression of the conduit. We note that dome collapse has not historically occurred at Galeras due to the growth occurring within the restricted crater of the summit cone.

In nature, we expect a spectrum of behavior ranging between the defined end-member regimes to occur, such as in 2008 at Galeras, as a result of variations in magma decompression rates and styles. Our study does not address the causes of the variations in magma ascent rates, however these could result from buoyancy differences, perhaps as a result of tapping a magma reservoir that was stratified in terms of temperature or volatile content, or from variations in magma chamber overpressure over time (e.g., Melnik and Sparks, 1999). Such differences in temperature and volatile content would undoubtedly influence the magma rheology, (e.g., Giordano et al., 2008), especially as magma evolves physically (via crystallization, vesiculation and vesicle compaction) and chemically (via degassing, and crystallization) upon ascent under evolving P-T-strain conditions (impacted by ascent, shear heating, latent heat of crystallization and outgassing, etc.). Here, we do not attempt to resolve all of these processes but assess the rheological properties of magma emplaced in the shallow conduit. As we experimentally demonstrate, petrological variations drive differences in apparent viscosity of Galeras magmas of over an order of magnitude for a given strain rate. However, other processes could also impact this rheological behavior. Magma ascending at a slower rate would in principle undergo less viscous heating and have more time to lose heat to wall rocks, whereas magma ascending more rapidly may be expected to retain more heat when it reaches the shallow conduit. Slight temperature differences associated with these different ascent pathways may be expected to act as a positive feedback effect, with higher temperatures contributing to lower the viscosity of the “low”-viscosity, rapidly decompressed andesitic magma and lower temperatures contributing to increasing the viscosity of slowly decompressed magma. Furthermore, in terms of the dense magma plugs considered here, the groundmass glass of all samples from 2004 to 2010 is highly degassed (<0.36 wt% H₂O; Sample Selection). However, Bain et al. (2019b) found evidence of a slightly greater extent of degassing (i.e., a lower H₂O concentration of ∼0.1 wt%) in porous samples that were interpreted to have undergone more sluggish densification, as a result of pathways for degassing remaining open for longer. Conversely, dense samples having undergone extensive densification displayed a slightly higher H₂O concentration in the groundmass glass (∼0.3 wt%) due to the rapid disruption of degassing pathways during efficient densification. This slight difference in melt volatile content should act to increase the magma viscosity in high-viscosity (slowly decompressed) plugs and decrease the magma viscosity in low-viscosity (rapidly decompressed) plugs. The positive feedbacks related to temperature and volatiles are therefore likely to compound the differences in eruptive style described above.

This conceptual model ties together observations from monitoring data and the physical, textural and rheological characteristics of erupted products at Galeras volcano, revealing a link between magma decompression rate, degassing and crystallization processes, magma rheology, plug densification, outgassing, overpressure development, explosion recurrence rate and eruption style. As such, the monitoring of crystal micro-textures in ash during and between explosions in volcanic systems where these relationships have been constrained could provide an additional line of evidence for interpreting volcanic behavior (e.g., Wright et al., 2012; Wallace et al., 2020), for eruption forecasting and for hazard mitigation during prolonged volcanic crises, when combined with geophysical (e.g., seismic and ground deformation data) and geochemical (e.g., SO₂ flux data) monitoring. If crystal micro-textures in ash produced in gas-and-ash venting events at persistently active arc volcanoes (e.g., Wright et al., 2012; Hornby et al., 2018; Murch and Cole, 2019) could be monitored in near-real time (e.g., Gaunt et al., 2016), this could provide valuable information concerning magma ascent rates, rheology, permeability, fragmentation mechanisms and the range of hazards to be anticipated during eruptions.

Conclusion

Micro-textural, physical and rheological investigations of ballistic bomb samples from the 2004–2010 Vulcanian explosions of Galeras volcano suggest that high magma decompression rates promote efficient densification due to a comparatively low apparent viscosity arising from the micro-textural results of crystallization under high degrees of undercooling. In turn, efficient densification fosters the development of a dense, low-permeability magma plug impeding outgassing. This “plug-forming” regime promotes frequent, large explosions preceded by relatively low average SO₂ fluxes. Conversely, low decompression rates lead to inefficient densification due to a higher apparent viscosity and stronger non-Newtonian behavior arising from crystallization under low degrees of undercooling. This “dome-forming” regime is characterized by high average SO₂ fluxes and dome extrusion accompanied by small-volume explosions with long repose times. We suggest that this integrated textural-physical-rheological conceptual model should be rigorously tested against other datasets and time-constrained eruptive products at well-monitored volcanoes, as it may improve near real-time assessment of hazards during volcanic unrest, which commonly feature variable discharge, decompression and ascent rates. We advance that existing monitoring techniques ought to be routinely supplemented by systematic sample collection and detailed micro-textural analyses of juvenile ash particles to aid in the interpretation of volcanic behavior during protracted periods of unrest at andesitic arc volcanoes.

Data Availability Statement

The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.

Author Contributions

AB, EC, JC, and GC conceptualised the research project. EC, JC, and GC supervised the research. AB, JK, AL, and YL performed the physical and material properties tests. DM and RT provided monitoring data from Galeras volcano. AB performed the micro-textural analysis and wrote the article. All authors provided comments on the article.

Funding

This work was funded by a Natural Environment Research Council Doctoral Training Partnership grant (NE/L002558/1) to AB. YL and the Volcanology and Geothermal Research Laboratory at the University of Liverpool were supported by a starting grant of the European Research Council (ERC) on Strain Localization in Magma (SLiM; no. 306488). JK and YL have been further supported by an Early Career Fellowship and a Research Fellowship of the Leverhulme Trust, respectively (ECF-2016-325; RF-2019-526\4).

Conflict of Interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Acknowledgments

AB thanks Viviana Burbano, Joao Lages, Bertilda Botina and Carlos Estrada for fieldwork assistance at Galeras. The authors thank Mike Hall, John Craven and Chris Hayward for technical assistance at the University of Edinburgh. We also thank the reviewers for their thoughtful comments that helped to improve this manuscript, as well as Fabio Arzilli and Valerio Acocella for editorial assistance. This paper is dedicated to Viviana Burbano, who is sadly missed.

Supplementary Material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/feart.2020.611320/full#supplementary-material.

References

Ashwell, P. A., Kendrick, J. E., Lavallée, Y., Kennedy, B. M., Hess, K. U., Von Aulock, F. W., et al. (2015). Permeability of compacting porous lavas. J. Geophys. Res. B Solid Earth. 120, 1605–1622. doi:10.1002/2014JB011519

CrossRef Full Text | Google Scholar

Bain, A. A., Calder, E. S., Cortés, J. A., Cortés, G. P., and Loughlin, S. C. (2019a). Textural and geochemical constraints on andesitic plug emplacement prior to the 2004-2010 vulcanian explosions at Galeras volcano, Colombia. Bull. Volcanol. 81, 1. doi:10.1007/s00445-018-1260-y

PubMed Abstract | CrossRef Full Text | Google Scholar

Bain, A. A., Lamur, A., Kendrick, J. E., Lavallée, Y., Calder, E. S., Cortés, J. A., et al. (2019b). Constraints on the porosity, permeability and porous micro-structure of highly-crystalline andesitic magma during plug formation. J. Volcanol. Geoth. Res. 379, 72–89. doi:10.1016/j.jvolgeores.2019.05.001

CrossRef Full Text | Google Scholar

Banks, N. G., Calvache, M. L, V., and Williams, S. N. (1997). 14C ages and activity for the past 50 ka at Volcán Galeras, Colombia. J. Volcanol. Geoth. Res. 77, 39–55. doi:10.1016/S0377-0273(96)00085-6

CrossRef Full Text | Google Scholar

Blundy, J., and Cashman, K. (2008). Petrologic reconstruction of magmatic system variables and processes. Rev. Mineral. Geochem. 69, 179–239. doi:10.2138/rmg.2008.69.6

CrossRef Full Text | Google Scholar

Brugger, C. R., and Hammer, J. E. (2010a). Crystal size distribution analysis of plagioclase in experimentally decompressed hydrous rhyodacite magma. Earth Planet Sci. Lett. 300, 246–254. doi:10.1016/j.epsl.2010.09.046

CrossRef Full Text | Google Scholar

Brugger, C. R., and Hammer, J. E. (2010b). Crystallization kinetics in continuous decompression experiments: implications for interpreting natural magma ascent processes. J. Petrol. 51, 1941–1965. doi:10.1093/petrology/egq044

CrossRef Full Text | Google Scholar

Calder, E. S., Lavallée, Y., Kendrick, J. E., and Bernstein, M. (2015). Lava dome eruptions. Encycl. Volcanoes. 343–362. doi:10.1016/B978-0-12-385938-9.00018-3

CrossRef Full Text | Google Scholar

Calvache, M. L., Cortés, G. P., and Williams, S. N. (1997). Stratigraphy and chronology of the Galeras volcanic complex, Colombia. J. Volcanol. Geoth. Res. 77, 5–19. doi:10.1016/S0377-0273(96)00083-2

CrossRef Full Text | Google Scholar

Caricchi, L., Burlini, L., Ulmer, P., Gerya, T., Vassalli, M., and Papale, P. (2007). Non-Newtonian rheology of crystal-bearing magmas and implications for magma ascent dynamics. Earth Planet Sci. Lett. 264, 402–419. doi:10.1016/j.epsl.2007.09.032

CrossRef Full Text | Google Scholar

Cashman, K., and Blundy, J. (2000). Degassing and crystallization of ascending andesite and dacite. Philos. Trans. R. Soc. London A Math. Phys. Eng. Sci. 358, 1487–1513. doi:10.1098/rsta.2000.0600

CrossRef Full Text | Google Scholar

Cashman, K. V. (2020). Crystal size distribution (CSD) analysis of volcanic samples: advances and challenges. Front. Earth Sci. 8, 1–17. doi:10.3389/feart.2020.00291

CrossRef Full Text | Google Scholar

Cashman, K. V. (1988). Crystallization of Mount St. Helens 1980-1986 dacite: a quantitative textural approach. Bull. Volcanol. 50, 194–209. doi:10.1007/BF01079682

CrossRef Full Text | Google Scholar

Cashman, K. V. (1992). Groundmass crystallization of Mount St. Helens dacite, 1980-1986: a tool for interpreting shallow magmatic processes. Contrib. Mineral. Petrol. 109, 431–449. doi:10.1007/BF00306547

CrossRef Full Text | Google Scholar

Cassidy, M., Manga, M., Cashman, K., and Bachmann, O. (2018). Controls on explosive-effusive volcanic eruption styles. Nat. Commun. 9, 2839. doi:10.1038/s41467-018-05293-3

PubMed Abstract | CrossRef Full Text | Google Scholar

Castro, J. M., Cordonnier, B., Tuffen, H., Tobin, M. J., Puskar, L., Martin, M. C., et al. (2012). The role of melt-fracture degassing in defusing explosive rhyolite eruptions at volcan Chaitén. Earth Planet Sci. Lett. 333–334, 63–69. doi:10.1016/j.epsl.2012.04.024

PubMed Abstract | CrossRef Full Text | Google Scholar

Cichy, S. B., Botcharnikov, R. E., Fran, C., Holtz, O. I. S., and Behrens, H. (2017). Vesiculation and microlite crystallization induced by decompression : a case study of the 1991–1995 Mt unzen eruption (Japan). J. Petrol. 52, 1469–1492. doi:10.1093/petrology/egq072

CrossRef Full Text | Google Scholar

Clarke, A. B., Stephens, S., Teasdale, R., Sparks, R. S. J., and Diller, K. (2007). Petrologic constraints on the decompression history of magma prior to Vulcanian explosions at the Soufrière Hills volcano, Montserrat. J. Volcanol. Geoth. Res. 161, 261–274. doi:10.1016/j.jvolgeores.2006.11.007

CrossRef Full Text | Google Scholar

Clarke, A. B. (2013). “Unsteady explosive activity: vulcanian eruptions,” in Modeling volcanic processes: the physics and mathematics of volcanism. Editors S. A. Fagents, T. K. P. Gregg, and R. M. C. Lopes, (Cambridge, UK: Cambridge University Press).

Google Scholar

Coats, R., Kendrick, J. E., Wallace, P. A., Miwa, T., Hornby, A. J., Ashworth, J. D., et al. (2018). Failure criteria for porous dome rocks and lavas: a study of Mt. Unzen, Japan. Solid Earth. 9, 1299–1328. doi:10.5194/se-9-1299-2018

CrossRef Full Text | Google Scholar

Cortés, J. G. P., and Raigosa, A. J. (1997). A synthesis of the recent activity of Galeras volcano, Colombia: seven years of continuous surveillance, 1989–1995. J. Volcanol. Geoth. Res. 77, 101–114. doi:10.1016/S0377-0273(96)00089-3

CrossRef Full Text | Google Scholar

Couch, S., Sparks, R. S. J., and Carroll, M. (2003). The kinetics of degassing-induced crystallization at Soufriere Hills Volcano, Montserrat. J. Petrol. 44 (8), 1477–1502. doi:10.1093/petrology/44.8.1477

CrossRef Full Text | Google Scholar

Devine, J. D., Rutherford, M. J., and Gardner, J. E. (1998). Petrologic determination of ascent rates for the Soufriere Hills Volcano andesitic magma. 25, 3673–3676. doi:10.1029/98GL01330

CrossRef Full Text | Google Scholar

Dingwell, D. B., and Webb, S. L. (1989). Structural relaxation in silicate melts and non-Newtonian melt rheology in geologic processes. Phys. Chem. Miner. 16, 508–516. doi:10.1007/BF00197020

CrossRef Full Text | Google Scholar

Druitt, T. H., Young, S. R., Baptie, B., Bonadonna, C., Calder, E. S., Clarke, A. B., et al. (2002). Episodes of cyclic Vulcanian explosive activity with fountain collapse at Soufriere Hills Volcano, Montserrat. Geol. Soc. London, Mem. 21, 281–306. doi:10.1144/GSL.MEM.2002.021.01.13

CrossRef Full Text | Google Scholar

Edmonds, M., Oppenheimer, C., Pyle, D. M., Herd, R. A., and Thompson, G. (2003). SO2 emissions from Soufrière Hills Volcano and their relationship to conduit permeability, hydrothermal interaction and degassing regime. J. Volcanol. Geoth. Res. 124, 23–43. doi:10.1016/S0377-0273(03)00041-6

CrossRef Full Text | Google Scholar

Einstein, A. (1911). Berichtigung zu meiner Arbeit:„Eine neue Bestimmung der Moleküldimensionen”. Ann. Phys. 339, 591–592.

CrossRef Full Text | Google Scholar

Fischer, T., Morrissey, M., and Calvache, V. (1994). Correlations between SO2 flux and long-period seismicity at Galeras volcano. Nature. 368. doi:10.1038/368135a0

PubMed Abstract | CrossRef Full Text | Google Scholar

Gaunt, H. E., Bernard, B., Hidalgo, S., Proaño, A., Wright, H., Mothes, P., et al. (2016). Juvenile magma recognition and eruptive dynamics inferred from the analysis of ash time series: the 2015 reawakening of Cotopaxi volcano. J. Volcanol. Geoth. Res. 328, 134–146. doi:10.1016/j.jvolgeores.2016.10.013

CrossRef Full Text | Google Scholar

Gaunt, H. E., Burgisser, A., Mothes, P. A., Browning, J., Meredith, P. G., Criollo, E., et al. (2020). Triggering of the powerful 14 july 2013 vulcanian explosion at tungurahua volcano, Ecuador. J. Volcanol. Geoth. Res. 392, 106762. doi:10.1016/j.jvolgeores.2019.106762

CrossRef Full Text | Google Scholar

Gent, A. N. (1960). Theory of the parallel plate viscometer. Br. J. Appl. Phys. 11, 85–87. doi:10.1088/0508-3443/11/2/310

CrossRef Full Text | Google Scholar

Giordano, D., Russell, J. K., and Dingwell, D. B. (2008). Viscosity of magmatic liquids: a model. Earth Planet Sci. Lett. 271, 123–134. doi:10.1016/j.epsl.2008.03.038

CrossRef Full Text | Google Scholar

Gruber, J. A. (2018). Accurate data reduction for the uniaxial compression test. Exp. Tech. 42, 209–221. doi:10.1007/s40799-017-0215-0

CrossRef Full Text | Google Scholar

Hale, A. J., and Wadge, G. (2008). The transition from endogenous to exogenous growth of lava domes with the development of shear bands. J. Volcanol. Geoth. Res. 171, 237–257. doi:10.1016/j.jvolgeores.2007.12.016

CrossRef Full Text | Google Scholar

Hammer, J. E., Cashman, K. V., Hoblitt, R. P., and Newman, S. (1999). Degassing and microlite crystallization during pre-climactic events of the 1991 eruption of Mt. Pinatubo, Philippines. Bull. Volcanol. 60, 355–380. doi:10.1007/s004450050238

CrossRef Full Text | Google Scholar

Hammer, J. E., Cashman, K. V., and Voight, B. (2000). Magmatic processes revealed by textural and compositional trends in Merapi dome lavas. J. Volcanol. Geoth. Res. 100, 165–192. doi:10.1016/S0377-0273(00)00136-0

CrossRef Full Text | Google Scholar

Hammer, J. E., and Rutherford, M. J. (2002). An experimental study of the kinetics of decompression-induced crystallization in silicic melt. J. Geophys. Res. 107, ECV 8-1–ECV 8-24. doi:10.1029/2001JB000281

CrossRef Full Text | Google Scholar

Harnett, C. E., Kendrick, J. E., Lamur, A., Thomas, M. E., Stinton, A., Wallace, P. A., et al. (2019). Evolution of mechanical properties of lava dome rocks across the 1995–2010 eruption of soufrière hills volcano, Montserrat. Front. Earth Sci. 7, 1–18. doi:10.3389/feart.2019.00007

CrossRef Full Text | Google Scholar

Heap, M. J., Troll, V. R., Kushnir, A. R. L., Gilg, H. A., Collinson, A. S. D., Deegan, F. M., et al. (2019). Hydrothermal alteration of andesitic lava domes can lead to explosive volcanic behaviour. Nat. Commun. 10, 5063–5110. doi:10.1038/s41467-019-13102-8

PubMed Abstract | CrossRef Full Text | Google Scholar

Hess, K. U., Cordonnier, B., Lavallée, Y., and Dingwell, D. B. (2007). High-load, high-temperature deformation apparatus for synthetic and natural silicate melts. Rev. Sci. Instrum. 78, 075102. doi:10.1063/1.2751398

PubMed Abstract | CrossRef Full Text | Google Scholar

Higgins, M. D. (2000). Measurement of crystal size distributions. Am. Mineral. 85, 1105–1116. doi:10.2138/am-2000-8-901

CrossRef Full Text | Google Scholar

Holness, M. B. (2014). The effect of crystallization time on plagioclase grain shape in dolerites. Contrib. Mineral. Petrol. 168, 1–19. doi:10.1007/s00410-014-1076-5

CrossRef Full Text | Google Scholar

Hornby, A. J., Lavallée, Y., Kendrick, J. E., De Angelis, S., Lamur, A., Lamb, O. D., et al. (2019). Brittle-Ductile deformation and tensile rupture of dome lava during inflation at santiaguito, Guatemala. J. Geophys. Res. Solid Earth. 124, 10107–10131. doi:10.1029/2018JB017253

CrossRef Full Text | Google Scholar

Hornby, A. J., Lavallée, Y., Kendrick, J. E., Rollinson, G., Butcher, A., and Clesham, S. (2018). Volcanic ash generation mechanisms : fingerprints in phase distribution highlighted by QEMSCAN particle mineralogical analysis. Earth Arxiv. 1–22. doi:10.17605/OSF.IO/XMV9B

CrossRef Full Text | Google Scholar

Horwell, C. J., Williamson, B. J., Llewellin, E. W., Damby, D. E., and Le Blond, J. S. (2013). The nature and formation of cristobalite at the Soufriere Hills volcano, Montserrat: implications for the petrology and stability of silicic lava domes. Bull. Volcanol. 75, 1–19. doi:10.1007/s00445-013-0696-3

CrossRef Full Text | Google Scholar

Inkscape Project (2020). Inkscape. Available from: https://inkscape.org.

Google Scholar

Ishibashi, H., and Sato, H. (2007). Viscosity measurements of subliquidus magmas: alkali olivine basalt from the Higashi-Matsuura district, Southwest Japan. J. Volcanol. Geoth. Res. 160, 223–238. doi:10.1016/j.jvolgeores.2006.10.001

CrossRef Full Text | Google Scholar

Kendrick, J. E., Lavallée, Y., Mariani, E., Dingwell, D. B., Wheeler, J., and Varley, N. R. (2017). Crystal plasticity as an indicator of the viscous-brittle transition in magmas. Nat. Commun. 8, 1926–2012. doi:10.1038/s41467-017-01931-4

PubMed Abstract | CrossRef Full Text | Google Scholar

Kendrick, J. E., Lavallée, Y., Hess, K. U., Heap, M. J., Gaunt, H. E., Meredith, P. G., et al. (2013). Tracking the permeable porous network during strain-dependent magmatic flow. J. Volcanol. Geoth. Res. 260, 117–126. doi:10.1016/j.jvolgeores.2013.05.012

CrossRef Full Text | Google Scholar

Kendrick, J. E., Lavallée, Y., Varley, N. R., Wadsworth, F. B., Lamb, O. D., and Vasseur, J. (2016). Blowing off steam: tuffisite formation as a regulator for lava dome eruptions. Front. Earth Sci. 4, 1–15. doi:10.3389/feart.2016.00041

CrossRef Full Text | Google Scholar

Kirkpatrick, R. J. (1981). Kinetics of crystallization of igneous rocks. Rev. Mineral. Geochem. 8, 321–398.

CrossRef Full Text | Google Scholar

Klein, J., Mueller, S. P., and Castro, J. M. (2017). The influence of crystal size distributions on the rheology of magmas: new insights from analog experiments. G-cubed. 18, 4055–4073. doi:10.1002/2017GC007114

CrossRef Full Text | Google Scholar

Klein, J., Mueller, S. P., Helo, C., Gurioli, L., and Castro, J. M. (2018). An expanded model and application of the combined effect of crystal-size distribution and crystal shape on the relative viscosity of magmas. J. Volcanol. Geoth. Res. 357, 128–133. doi:10.1016/j.jvolgeores.2018.04.018

CrossRef Full Text | Google Scholar

Klinkenberg, L. (1941). “The permeability of porous media to liquids and gases,” in Drilling and production practice. American Petroleum Institute. Mat. Sci. 200–213. doi:10.5510/OGP20120200114

CrossRef Full Text | Google Scholar

Kolzenburg, S., Heap, M. J., Lavallée, Y., Russell, J. K., Meredith, P. G., and Dingwell, D. B. (2012). Strength and permeability recovery of tuffisite-bearing andesite. Solid Earth. 3, 191–198. doi:10.5194/se-3-191-2012

CrossRef Full Text | Google Scholar

Lamur, A., Kendrick, J. E., Wadsworth, F. B., and Lavallée, Y. (2019). Fracture healing and strength recovery in magmatic liquids. Geology. 47, 1–4. doi:10.1130/G45512.1

CrossRef Full Text | Google Scholar

Lavallée, Y., Dingwell, D. B., Johnson, J. B., Cimarelli, C., Hornby, A. J., Kendrick, J. E., et al. (2015). Thermal vesiculation during volcanic eruptions. Nature. 528, 544–547. doi:10.1038/nature16153

PubMed Abstract | CrossRef Full Text | Google Scholar

Lavallée, Y., Meredith, P. G., Dingwell, D. B., Hess, K. U., Wassermann, J., Cordonnier, B., et al. (2008). Seismogenic lavas and explosive eruption forecasting. Nature. 453, 507–510. doi:10.1038/nature06980

PubMed Abstract | CrossRef Full Text | Google Scholar

Lavallée, Y., Benson, P. M., Heap, M. J., Hess, K. U., Flaws, A., Schillinger, B., et al. (2013). Reconstructing magma failure and the degassing network of domebuilding eruptions. Geology. 41, 515–518. doi:10.1130/G33948.1

CrossRef Full Text | Google Scholar

Lavallée, Y., Hess, K. U., Cordonnier, B., and Dingwell, D. B. (2007). Non-Newtonian rheological law for highly crystalline dome lavas. Geology. 35, 843–846. doi:10.1130/G23594A.1

CrossRef Full Text | Google Scholar

Lavallée, Y., and Kendrick, J. E. (2020). “A review of the physical and mechanical properties of volcanic rocks and magmas in the brittle and ductile field,” in Forecasting and planning for volcanic hazards, risks, and disasters. Editor P. Papale, (Amsterdam, Netherlands: Elsevier).

Google Scholar

Lavallée, Y., Varley, N. R., Alatorre-Ibargüengoitia, M. A., Hess, K. U., Kueppers, U., Mueller, S., et al. (2012). Magmatic architecture of dome-building eruptions at Volcán de Colima, Mexico. Bull. Volcanol. 74, 249–260. doi:10.1007/s00445-011-0518-4

CrossRef Full Text | Google Scholar

Llewellin, E. W., and Manga, M. (2005). Bubble suspension rheology and implications for conduit flow. J. Volcanol. Geoth. Res. 143, 205–217. doi:10.1016/j.jvolgeores.2004.09.018

CrossRef Full Text | Google Scholar

Lofgren, G. (1974). An experimental study of plagioclase crystal morphology: isothermal crystallization. Am. J. Sci. 274, 243–273. doi:10.2475/ajs.274.3.243

CrossRef Full Text | Google Scholar

Melnik, O., and Sparks, R. S. J. (1999). Nonlinear dynamics of lava dome extrusion. Nature. 402, 37–41. doi:10.1038/46950

CrossRef Full Text | Google Scholar

Miwa, T., Toramaru, A., and Iguchi, M. (2009). Correlations of volcanic ash texture with explosion earthquakes from vulcanian eruptions at Sakurajima volcano, Japan. J. Volcanol. Geoth. Res. 184, 473–486. doi:10.1016/j.jvolgeores.2009.05.012

CrossRef Full Text | Google Scholar

Morgan, D. J., and Jerram, D. A. (2006). On estimating crystal shape for crystal size distribution analysis. J. Volcanol. Geoth. Res. 154, 1–7. doi:10.1016/j.jvolgeores.2005.09.016

CrossRef Full Text | Google Scholar

Mueller, S., Llewellin, E. W., and Mader, H. M. (2011a). The effect of particle shape on suspension viscosity and implications for magmatic flows. Geophys. Res. Lett. 38 , L13316. doi:10.1029/2011GL047167

CrossRef Full Text | Google Scholar

Mueller, S., Melnik, O., Spieler, O., Scheu, B., and Dingwell, D. B. (2005). Permeability and degassing of dome lavas undergoing rapid decompression: an experimental determination. Bull. Volcanol. 67, 526–538. doi:10.1007/s00445-004-0392-4

CrossRef Full Text | Google Scholar

Mueller, S., Scheu, B., Kueppers, U., Spieler, O., Richard, D., and Dingwell, D. B. (2011b). The porosity of pyroclasts as an indicator of volcanic explosivity. J. Volcanol. Geoth. Res. 203, 168–174. doi:10.1016/j.jvolgeores.2011.04.006

CrossRef Full Text | Google Scholar

Mueller, S., Scheu, B., Spieler, O., and Dingwell, D. B. (2008). Permeability control on magma fragmentation. Geology. 36, 399. doi:10.1130/G24605A.1

CrossRef Full Text | Google Scholar

Murch, A. P., and Cole, P. D. (2019). Using microlites to gain insights into ascent conditions of differing styles of volcanism at Soufrière Hills Volcano. J. Volcanol. Geoth. Res. 384, 221–231. doi:10.1016/j.jvolgeores.2019.07.022

CrossRef Full Text | Google Scholar

Mysen, B., and Richet, P. (2019). Silicate glasses and melts. Second Edition. Amsterdam, Netherlands: Elsevier.

Google Scholar

Narváez Medina, L., Arcos, D. F., and Battaglia, M. (2017). Twenty years (1990–2010) of geodetic monitoring of Galeras volcano (Colombia) from continuous tilt measurements. J. Volcanol. Geoth. Res. 344, 232–245. doi:10.1016/j.jvolgeores.2017.03.026

CrossRef Full Text | Google Scholar

Ostwald, W. (1925). Concerning the function rate of the viscosity of dispersion systems: IV. Kolloid Z. 36, 248–250.

CrossRef Full Text | Google Scholar

Preece, K., Gertisser, R., Barclay, J., Charbonnier, S. J., Komorowski, J. C., and Herd, R. A. (2016). Transitions between explosive and effusive phases during the cataclysmic 2010 eruption of Merapi volcano, Java, Indonesia. Bull. Volcanol. 78, 54. doi:10.1007/s00445-016-1046-z

PubMed Abstract | CrossRef Full Text | Google Scholar

Preece, K., Barclay, J., Gertisser, R., and Herd, R. A. (2013). Textural and micro-petrological variations in the eruptive products of the 2006 dome-forming eruption of Merapi volcano, Indonesia: implications for sub-surface processes. J. Volcanol. Geoth. Res. 261, 98–120. doi:10.1016/j.jvolgeores.2013.02.006

CrossRef Full Text | Google Scholar

Riker, J. M., Cashman, K. V., Rust, A. C., and Blundy, J. D. (2015). Experimental constraints on plagioclase crystallization during H2O- and H2O-CO2-saturated magma decompression. J. Petrol. 56, 1967–1998. doi:10.1093/petrology/egv059

CrossRef Full Text | Google Scholar

Roscoe, R. (1952). The viscosity of suspensions of rigid spheres. Br. J. Appl. Phys. 3, 267.

CrossRef Full Text | Google Scholar

Schneider, C. A., Rasband, W. S., and Eliceiri, K. W. (2012). NIH Image to ImageJ: 25 years of image analysis. Nat. Methods. 9, 671–675. doi:10.1038/nmeth.2089

PubMed Abstract | CrossRef Full Text | Google Scholar

Sparks, R. S. J. (1997). Causes and consequences of pressurisation in lava dome eruptions. Earth Planet Sci. Lett. 150, 177–189. doi:10.1016/S0012-821X(97)00109-X

CrossRef Full Text | Google Scholar

Spieler, O., Kennedy, B., Kueppers, U., Dingwell, D. B., Scheu, B., and Taddeucci, J. (2004). The fragmentation threshold of pyroclastic rocks. Earth Planet Sci. Lett. 226, 139–148. doi:10.1016/j.epsl.2004.07.016

CrossRef Full Text | Google Scholar

Stix, J., Torres, R. C., Medina, L. N., Cortés, G. P., Raigosa, J. A., Gómez, D., et al. (1997). A model of vulcanian eruptions at Galeras volcano, Colombia. J. Volcanol. Geoth. Res. 77, 285–303. doi:10.1016/S0377-0273(96)00100-X

CrossRef Full Text | Google Scholar

Vargas, C. A., and Torres, R. (2015). Three-dimensional velocity structure of the Galeras volcano (Colombia) from passive local earthquake tomography. J. Volcanol. Geoth. Res. 301, 148–158. doi:10.1016/j.jvolgeores.2015.05.007

CrossRef Full Text | Google Scholar

Vasseur, J., Wadsworth, F. B., Lavallée, Y., Hess, K. U., and Dingwell, D. B. (2013). Volcanic sintering: timescales of viscous densification and strength recovery. Geophys. Res. Lett. 40, 5658–5664. doi:10.1002/2013GL058105

PubMed Abstract | CrossRef Full Text | Google Scholar

Voight, B., Sparks, R. S., Miller, A. D., Stewart, R. C., Hoblitt, R. P., Clarke, A., et al. (1999). Magma flow instability and cyclic activity at soufriere Hills Volcano, Montserrat, British west indies. Science. 283, 1138–1142. doi:10.1126/science.283.5405.1138

PubMed Abstract | CrossRef Full Text | Google Scholar

Voight, B., and Elsworth, D. (2000). Instability and collapse of hazardous gas-pressurized lava domes. Geophys. Res. Lett. 27, 1–4. doi:10.1029/1999GL008389

CrossRef Full Text | Google Scholar

Wadsworth, F. B., Witcher, T., Vossen, C. E. J., Hess, K. U., Unwin, H. E., Scheu, B., et al. (2018). Combined effusive-explosive silicic volcanism straddles the multiphase viscous-to-brittle transition. Nat. Commun. 9, 4696–4698. doi:10.1038/s41467-018-07187-w

PubMed Abstract | CrossRef Full Text | Google Scholar

Wallace, P. A., Kendrick, J. E., Miwa, T., Ashworth, J. D., Coats, R., Utley, J. E. P., et al. (2019). Petrological architecture of a magmatic shear zone: a multidisciplinary investigation of strain localisation during magma ascent at Unzen volcano, Japan. J. Petrol. 60, 791–826. doi:10.1093/petrology/egz016

CrossRef Full Text | Google Scholar

Wallace, P. A., Lamb, O. D., De Angelis, S., Kendrick, J. E., Hornby, A. J., Díaz-Moreno, A., et al. (2020). Integrated constraints on explosive eruption intensification at Santiaguito dome complex, Guatemala. Earth Planet Sci. Lett. 536, 116139. doi:10.1016/j.epsl.2020.116139

CrossRef Full Text | Google Scholar

Westrich, H., and Eichelberger, J. C. (1994). Gas transport and bubble collapse in rhyolitic magma : an experimental approach. Bull. Volcanol. 56, 447–458. doi:10.1007/BF00302826

CrossRef Full Text | Google Scholar

Whitaker, S. (1996). The Forchheimer equation: a theoretical development. Transport Porous Media. 25, 27–61. doi:10.1007/BF00141261

CrossRef Full Text | Google Scholar

Wright, H. M. N., Cashman, K. V., Mothes, P. A., Hall, M. L., Ruiz, A. G., and Le Pennec, J. L. (2012). Estimating rates of decompression from textures of erupted ash particles produced by 1999-2006 eruptions of Tungurahua volcano, Ecuador. Geology. 40, 619–622. doi:10.1130/G32948.1

CrossRef Full Text | Google Scholar

Wright, H. M. N., Cashman, K. V., Rosi, M., and Cioni, R. (2007). Breadcrust bombs as indicators of Vulcanian eruption dynamics at Guagua Pichincha volcano, Ecuador. Bull. Volcanol. 69, 281–300. doi:10.1007/s00445-006-0073-6

CrossRef Full Text | Google Scholar

Wright, H. M. N., and Weinberg, R. F. (2009). Strain localization in vesicular magma: implications for rheology and fragmentation. Geology. 37, 1023–1026. doi:10.1130/G30199A.1

CrossRef Full Text | Google Scholar