Introduction

The flow regime within channelized basaltic lava flows is known to change over timescales of days, minutes and hours (Wadge 1981; Lipman and Banks 1987; Rossi 1997; Harris et al. 2000b; Lautze et al. 2004). Some studies have been able to track short-term changes in lava channel morphology, volume flux, cooling rates or crystallization (e.g., Lipman and Banks 1987; Crisp and Baloga 1994; Crisp et al. 1994; Cashman et al. 1999). However, interpretation and modeling of channels on timescales of <1 day has been limited by a lack of field-based measurements of sufficient temporal or spatial coverage to show critical changes (Baloga and Pieri 1986). In this regard, field measurements are limited by the observers' ability to continually record and accurately describe changes at ephemeral, rapidly evolving, complex, or short-lived features. Ideally, such studies would collect continuous, simultaneous measurements of temperatures and lava samples along an extended length of channel. With the notable exception of Cashman et al. (1999), such an analysis requires multiple instruments, many (or fast moving) personnel and perfect/ideal conditions.

Such measurements are, however, essential if we are to adequately understand, interpret, and model lava flow emplacement. Many studies of channelized flows at Mt. Etna (Sicily, Italy) and other effusive basaltic volcanoes, primarily Kilauea and Mauna Loa (Hawaii) have been directed towards defining parameters for quantitative modeling of flows. Hulme (1974), Dragoni et al. (1986, 1992), Dragoni (1989), Dragoni and Tallarico (1994), Pinkerton and Wilson (1994), Keszthelyi (1995) and Tallarico and Dragoni (1999), for example, studied aspects of flow emplacement and cooling to consider the impact of channel dimensions, lava cooling, crystallization, and other rheological properties on flow length, velocity and volumetric rate. In addition, analysis and modeling of heat loss from channelized and ‘a‘ā flows has been completed by Dragoni (1989), Crisp and Baloga (1990), Ishihara et al. (1990), Crisp and Baloga (1994), Harris et al. (1998), Keszthelyi and Self (1998), Cashman et al. (1999), and Harris and Rowland (2001).

The last 3 years has seen an increasing use of the hand-held forward-looking infrared (FLIR) thermal camera (Dehn et al. 2001). The FLIR's versatility has led to its use in many areas of thermal volcanological research, such as the analysis of active eruption plumes (McGimsey et al. 1999; Dehn et al. 2002), explosive and effusive eruptions (Dehn et al. 2003; Andronico et al. 2004; Harris et al. 2005), lava lakes (Oppenheimer and Yirgu 2002), and instability of volcanoes (Bonaccorso et al. 2003). This device is capable of collecting images of large flow-field areas. Each image is comprised of 320×240 pixels, each providing a calibrated temperature value between 200 and 1,000°C. FLIR data thus provide a means to both qualitatively and quantitatively study the thermal history of an evolving or cooling lava flow (Keszthelyi et al. 2003; Patrick et al. 2003; Wright and Flynn 2003).

In this study, we use FLIR data, visual observations, and thermal infrared thermometer data to describe the temporal evolution of a channelized lava flow during the May 2001 eruption of Mt. Etna (Fig. 1). We begin by reviewing previous studies of Etnean flow fields and channelized basaltic flows before giving a description of the events surrounding the formation of the lava channel on which we focus. This is followed by a description of the observed channel as well as measurements made and the terminology used to describe the channel's morphology. Finally, we detail qualitative and quantitative changes in the channel morphology that result from random and cyclic fluctuations in the bulk volume flux. Our ultimate goal was thus to describe pulses observed in the volume flux, and to define what these variations imply about the system, as well as to consider the effect that volume flux changes on the order of minutes to hours have on flow rate calculations. These observations directly contradict any assumption of a steady-state flow used for modeling channelized basaltic lava flows or in making ground-based flow rate calculations. In completing our examination of a channel's morphological evolution, we also highlight the ability of the FLIR camera to provide both numerical and visual image data capable of documenting rapid morphological and flow regime changes.

Fig. 1
figure 1

a Mount Etna location map. b Lava flow fields erupted at Mount Etna during 2001 (modified from Behncke and Neri 2003). SEC = Southeast crater; BN = Bocca Nuova; V = Voragine; NEC = Northeast Crater

The May 2001 lava flow field

Our measurements took place during May 30–31, 2001, along a length of channel in the proximal section of a flow field being emplaced on the NE flank of the South-East Crater (SEC), within the upper Valle del Leone between 3,000 and 2,500 m elevation (Figs. 1 and 2). At this time, the flow field as a whole was being fed at an effusion rate of 1.4±0.4 m3 s–1 to build a 2.5×1 km (∼2.5 km2) flow field. We use the term ‘effusion rate,’ as defined in Calvari et al. (2002), to describe the estimated instantaneous total rate at which lava is erupted for the whole flow field. This effusion rate may be divided between a number of channels. The term ‘flow rate’ refers to the rate of lava discharge through a given channel. Thus, where multiple channels exist, the channel flow rate will be less than the at-vent effusion rate. Figure 3 shows effusion rates recorded for May and June 2001. The data are derived from satellite (AVHRR) and ground-based measurements by Lautze et al. (2004).

Fig. 2
figure 2

a Schematic overview of the NE branch of the May 2001 flow field showing the flow zones and measurement areas for this study. b Photograph of NE margin of flow field and monitored channel section. c Night time photograph of the flow field on May 30 showing the main flow zones. View is looking to the SW over a distance of ∼2 km

Fig. 3
figure 3

Effusion rates during May and June (2001) derived from satellite (AVHRR) and ground-based measurements by Lautze et al. (2004)

By May 30, the lava flow field comprised four main sections. The first section was a zone of stable tube that extended ∼0.5 km from a series of vents on the NE flank of the SEC. This tube bifurcated 0.25 km from the vent to feed two channels (Fig. 2). These comprised the second flow field section: a zone of stable channelized flow. This in turn fed the third section, a zone of dispersed ‘a‘ā flow, which fed the fourth section, three main lobes at the distal portion of the flow field.

Activity at the SEC had been continuous but at variable levels since January 2001 (Lautze et al. 2004). Emplacement of the channel-fed flow field, however, occurred mostly during May 2001, and correlated with a period of increasing effusion rates (Fig. 3). During the first week of May, weak spattering produced hornitos along a fissure located on the NNE flank of the SEC (Behncke and Neri 2003). These were initially the sources of low-volume effusive activity. Strombolian activity at the summit of the SEC began late on the morning of May 7, and at 16:30 (all times are local) on May 9 the SEC's first fire-fountaining event of 2001 began. The cessation of fountaining was followed by additional effusive activity, where flows erupted from the NNE flank fissure rapidly extended towards the east.

For the next week (May 10–17) persistent effusive output continued from the NNE fissure, sometimes from more than one spattering vent. By May 15, the active flow extended over 1 km into the Valle del Leone (Fig. 1). At about 19:00 on May 17 the intensity of activity increased, and by May 18 lava effusion had become focused at a single vent, a hornito at 3,156 m elevation on the flank of the SEC. Lava flow continued at an effusion rate of 2–3 m3 s−1 (Fig. 3) to feed a flow that split into three branches a short distance below the hornito. One of these branches extended to the NE with a flow front that reached a distance of about 1 km from the vent. This NE branch remained active through our observation period and was the focus of our study. The central branch flowed to the east, and was the widest of the three. The third branch flowed to the ESE, traveling about 700 m from the vent.

Continuous flow persisted over the next 10 days. However, activity at the NE branch diminished greatly in intensity. Along the upper part of this flow, sluggish lobes were issued out of a tumulus that developed 150 m down-slope from the main effusive vent, but these lobes did not advance farther than ∼500 m down-slope. The ESE branch crusted over to form a tube over part of its length. Activity in the east flow in contrast remained strong, fed by a constant source of lava from the 3,156 m hornito. During this period, changes in effusion rate were noticed with new material occasionally rapidly over-running older slower-moving flow fronts.

By May 28–30 the effusion rate increased to 2–6 m3 s−1 (Fig. 3). Activity was particularly strong at the NE and E branches, where channel-fed ‘a‘ā flows extended >2.0 km into the Valle del Leone (Fig. 1). Through June 6 flows continued to extend 2.3–2.5 km into the Valle del Leone, by far the longest branches that had thus far been recorded during activity in 2001. The increased effusion rate was also mirrored by an increase in Strombolian events within the SEC. This increase culminated in a series of 14 fire-fountaining episodes that occurred between June 7 and July 13. These fire-fountaining episodes were merely a forerunner to a large flank eruption, which began on July 17 and emplaced a 4.7 km2 flow field primarily on Etna's south flank (Fig. 1; Calvari et al. 2001; Behncke and Neri 2003).

Channelized ‘a‘ā flows on Etna

Macdonald's (1953) description of ‘a‘ā lava can be paraphrased as “lava with a rough, jagged, spinose and generally clinkery surface”. Based on this description, virtually all of Etna's historical flows can be classified as ‘a‘ā (Kilburn 1990). Exhaustive descriptions of the lava types and textures found on Etna are given in Kilburn (1990, 2000) and by Kilburn and Guest (1993). Commonly Etna's lava flows form compound flow fields (Walker 1972), comprised of multiple ‘a‘ā flow units. On the steeper slopes, flow is generally maintained through channels or tubes (Calvari and Pinkerton 1998), whereas shallower slopes encourage dispersed, bifurcating and braiding flows, due to a decrease in mean flow velocity and subsequent adjustment to new rheological conditions and flow front inflation (Polacci and Papale 1997; Calvari and Pinkerton 1998).

The high frequency of eruptions on Mt. Etna has allowed numerous studies of flow-field formation. Some of these studies have concentrated on overall flow-field morphology or its formation chronology, using either field-based measurements, e.g., Pinkerton and Sparks (1976), Frazzetta and Romano (1984), Guest et al. (1987), Kilburn and Lopes (1988), Calvari et al. (1994), Calvari et al. (2002), Behncke and Neri (2003), or remote sensing data, e.g., Pieri et al. (1990), Harris et al. (1997, 2000), Wright et al. (2000, 2001). Other studies have concentrated on changes within the channelized or tubed sections of a flow. Calvari and Pinkerton (1998, 1999), for example, described the morphology and mechanism of formation of lava tubes on Etna, Polacci and Papale (1997) performed post-emplacement studies of flow units fed by lava tube emission points, and Kilburn and Guest (1993) described textural variations for Etnean ‘a‘ā and pāhoehoe flows.

A small group of studies have focused on the morphology of channel levees, setting out a series of definitions that are important to our study. Static marginal levees between which a central zone of lava continues to move are common features of ‘a‘ā flows (Hulme 1974). Sparks et al. (1976) described four different types of Etnean levee: initial, accretionary, rubble and overflow. Initial levees are formed by the stagnation and cooling of lava at the margins of the initial flow unit (Hulme 1974; Sparks et al. 1976), and are characterized by a broad zone of marginal clinker bounding the central flowing plug (Figs. 2 and 4). Effectively these are the rubbly flanks of the ‘a‘ā flow left behind after the initial flow passed through (Lipman and Banks 1987). Naranjo et al. (1992) point out that narrowing of the actively flowing central zone results in inward growth of the initial levees, an effect we observe in the morphologies of our channel levees (Fig. 4). Formation of ‘a‘ā clinker at the flow margins by shearing and milling results in piles of clinker being gradually piled up at the margins of the flow zone (Naranjo et al. 1992). This process is responsible for rubble levees (Sparks et al. 1976) that overlie the inner edge of the initial levee. Continued narrowing of the central flow zone can leave a series of abandoned rubble levees that attest to sustained inward levee growth, as observed at the 2001 Etna channel (Fig. 4). However, pulses of increased bulk lava supply moving down the channel or blockages can cause short term lateral overflows to build overflow levees that also cap the initial levees (Sparks et al. 1976; Lipman and Banks 1987). As we describe later, pulses produced overflows of pāhoehoe (Fig. 5a), whereas blockages produced ‘a‘ā overflows (Fig. 5b). During pulse-related overflows, accretion of pāhoehoe lava to the inner wall and lip of the channel also contributed to accretionary levees (Sparks et al. 1976) that result in overhanging channel walls (Fig. 4).

Fig. 4
figure 4

Typical flow profiles through the channelized flow zone and upper zone of the transitional channel

Fig. 5
figure 5

a Vigorous over bank pāhoehoe sheet flow during a down-channel pulse of lava. Length of channel section is ∼200 m and the upper section of the stable channel zone. b Sluggish ‘a‘ā overflow upslope of a blockage. The overflow is ∼2 m wide. c Near vertical-walled channel in upper stable channel zone during May 30, showing well-developed plug flow characterized by central zone of plastic pāhoehoe and embryonic ‘a‘ā forming in the marginal shear zones. Channel is ∼3 m wide. d Lower reach of the channel zone on May 31 showing well developed plug flow and over-hanging accretionary levees, overhang angle is ∼60°. Up-flow the channel has completely zippered-up. e Close up of the marginal shear zone showing plastic balls of clinker forming and rolling, with more coherent, plastic pāhoehoe crust forming at the central plug. Channel is ∼3 m wide. f Rubbly blockage forming in the channel during a phase of sluggish flow

The Lipman and Banks (1987) study of the 1984 Mauna Loa channel also provides an important source of comparison for this study, because many of the morphologies observed at Mauna Loa were also apparent at the May 2001 Etna flow. Lipman and Banks (1987) provide a useful spatial framework within which morphologies characteristic to certain, increasingly distal and immature channel sections can be placed. Based on the concept of Lipman and Banks (1987) we identify and divide the Etna channel into four zones characterized by systematic down-channel evolution in structure and morphology. These are (from vent-to-toe): stable channel flow, transitional channel, dispersed flow, and flow toe (Fig. 2). In effect, the down-flow transition from one zone to another is a reflection of decreasing maturity. The channelized flow zone characterized the upper section of the ∼2.5 km long flow. It was fed by a tube whose exit was located ∼440 m from the main vent. In this ∼580-m-long section, all marginal motion had ceased, and flow was concentrated in a single channel of relatively consistent geometry. The channel was relatively narrow (∼3 m wide) with 20 to 30-m-wide initial levees capped by pāhoehoe and ‘a‘ā overflows. These overflows typically extended laterally ∼5–20 m from the channel and added to the complex, compound nature of the channel's levees. The inner-channel walls were approximately vertical (Fig. 5c). Through time, accretion produced overhanging levees (Figs. 4 and 5d). The flow surface moving within the channel was characterized by a central slab of pāhoehoe bounded by zones of ‘a‘ā clinker formation.

Across the transitional channel zone, lava flow still occurred in a distinct channel, but the levees seen were complex. They resembled initial and rubble levees (Sparks et al. 1976; Fig. 4c). The central channel was wider (6–10 m wide), and extended an additional ∼580 m down flow. Newly formed rubble levees (Fig. 4c) attained heights of 1–1.5 m and widths of 4 m. With increasing distance down this section, the central pāhoehoe slab died out and the flow surface developed a complete cover of ‘a‘ā clinker. This clinker coverage evolved down-flow from marginal bands of brittle ‘a‘ā clinker bounding shear zones of plastic clinker (Fig. 4). Down-flow from the transitional channel zone was a zone of dispersed flow, characterized by a ∼970-m-long zone of braided ‘a‘ā flow within which channels were absent (Fig. 2). The toe zone consisted of an extreme distal zone of constant flow crumbling to feed incandescent avalanches that extended a further few tens of meters down-slope from the actual flow front. The steep slope (up to ∼20°) over which the flows were extending promoted the crumbling and avalanching.

Instrumentation and data collection

Visual observations of the channel were made throughout daylight hours over May 30 and 31. In addition, a FLIR Systems ThermaCam PM 595 and a Minolta-Land Cyclops 300 thermal infrared thermometer recorded thermal data for the channel surface during the same 2-day period. The two instruments were tripod-mounted to ensure stable targeting ∼100 m from the channel (Fig. 2).

The FLIR ThermaCam 595 is operable in different modes (Dehn et al. 2003) and images can be collected as often as once every second. We used sample rates of 10, 15 and 30 s to maximize temporal coverage, which was limited by the FLIR battery's lifetime. A total of 2,106 images (324 MB of data) were collected covering 3.73 h and 4.18 h on May 30 and 31, respectively. Within the images, each pixel represents a FLIR temperature that is automatically corrected for surface and path length effects using a line-of-sight distance, humidity, air temperature, and emissivity, all of which are input at the beginning of each data collection run. At the line of sight distance in this study (∼100 m), each pixel area corresponds to an instantaneous field of view (IFOV) of 0.13 m. However, this assumes that FLIR viewing was perpendicular to the target, which was not the case. It was therefore necessary to use trigonometry to perform a geometric adjustment of this value before using it to compute real distances from measurements made in pixels on the FLIR images. For cross-channel width measurements this adjustment was:

$${\rm Pixel}\,{\rm width}\;({\rm m}) = {\rm IFOV}/{\rm cos}\theta$$
(1)

where θ is the angle of intersection between the FLIR's line-of-sight the long axis of the channel. The width was measured at the center of the FLIR image, where θ=72°. For along-channel measurements the geometric adjustment was:

$${\rm Pixel}\,{\rm length} ({\rm m}) = {\rm IFOV}/{\rm sin}\theta$$
(2)

However, these adjustments were complex, as the FLIR has a field of view (FOV) of 24° (12° either side of the line of sight), which meant across the image θ varied from 84° at the near (down-flow) edge to 60° at the far (up-flow) edge. The more acute θ becomes, the larger the pixel length (=∞ at θ=0°).

Thermal infrared thermometer data were collected once every 5 s on May 30 for a period of 6 h, and once every 2 s on May 31 for a period of 6.5 h. The thermal infrared thermometer provides an integrated value of radiance for a flow surface area defined by a 1° FOV. Over a distance of 100 m this corresponds to a circular area of 2.43 m2. This spot was centered in the lava channel and, given a channel width of ∼3 m, meant that the flowing section of the channel completely filled the FOV. The output data were un-corrected brightness temperatures.

Methodology

The FLIR image data were used in two ways. The first was to extract channel dimensions, flow velocity, effusion rate and plug width. The second was to track and describe changes in channel morphology over time, in combination with visual observations.

The central plug was identified as a zone of cooler pixels in the central part of the channel (Fig. 6). The plug width (\(w_{\rm p}\)) was measured as a number of pixels and then multiplied by the calibrated pixel dimension to obtain width in meters. Surface flow velocity was similarly calculated from the distance a piece of identifiable crust traveled in a known time. This velocity was usually that of the flow centerline, and therefore a maximum flow velocity (\(v_{\rm max}\)). If we approximate the channel as a half cylindrical conduit of radius d (Walker 1967; Dragoni et al. 1986; Calvari et al. 1994), and a parabolic flow profile is assumed (Tallarico and Dragoni 1999; Kerr 2001), an estimate of bulk volume flux (B flux) can be made following Calvari et al. (2002):

$$B_{{\rm flux}} = 0.67(v_{\max}A)$$
(3)
$$A = 0.5(\pi{\rm d})^2$$
(4)

where d = depth of the flow at mid-channel, measured by pushing a length of re-bar into the lava until the channel floor was found. Since the value of d changes, this method only provides a spot measurement approximation of B flux for different times of flow. Errors are similar to those in Calvari et al. (2002), cumulatively ±40%.

Fig. 6
figure 6

a Photo and b schematic diagram of plug flow surface features in the channel (width is ∼3 m). c Velocity profile obtained following Cigolini et al. (1984) and Harris et al. (2002). Profile (black line) has been modeled for a flow width of 3 m and a maximum velocity of 0.29 ms–1. An adaptation (dashed gray line) is suggested to show that in the field we observed (almost) static zones at the channel margins due to the growth of fixed crust, This a type of “roof” growth, which can lead to tube formation (Peterson et al. 1994)

Observations of the stable channel flow zone

Our 2001 Etna observations were made within the upper channel zone, where we focused on examining the evolution of this apparently stable channel flow section. This section was thus within the proximal section of the overall flow field and was linked to the main vent by a short section of tube (Fig. 2). Although ‘stable’ within the definition of Lipman and Banks (1987) the channel showed significant morphological and flow regime fluctuation during our 2-day observation period.

As we show, the activity along what in post-eruption analysis would be considered stable channel flow shows considerable temporal variability. Accumulation of solidified crust at channel constrictions formed blockages that were unstable and ephemeral, forming and decaying on time scales of tens of minutes. Blockages were then an initial stage of tube formation, as described in Calvari and Pinkerton (1998). These blockages were also not true blockages as they only stopped flow at the surface: flow continued beneath them. However, the blockages were large enough to impede flow such that the channel's fill level (surface of flowing lava relative to levees) was lowered downstream and a volume of lava became ponded or backed up behind the blockage.

Lipman and Banks (1987) recognized the effects that blockages had on the character of the 1984 Mauna Loa channel. They describe how the backed up lava was eventually released either by overflowing or breaking through the channel levees, or by overwhelming and flushing away the blockages. When a blockage broke down, a surge of lava propagated down the channel. Lipman and Banks (1987) called these ‘lava surges’ and they occurred when the weight of the backed up lava exceeded the strength of the obstruction.

At Etna we observed similar events but at two different volume scales. Small increases in the volume flux of lava due to localized release of lava backed up behind blockages were seen and are referred to as surges. It is important to differentiate them from larger pulse events. These were significant changes in the channel's bulk volume flux that appeared to be sourced by the vent and advanced along the entire reach of visible channel.

Plug flow and channel thermal structure

The flow in the channel displayed a well-formed central plug bounded by marginal shear zones (Fig. 6). The plug was typically 0.75–1.2 m wide, and was bounded by 0.9 to 1.1-m-wide shear zones. Flow had a velocity gradient from around zero at the channel edges to a maximum at the central plug (Fig. 6). Constant surface flow velocities across the plug resulted in shear forces less than skin strength, so that a coherent crust could form. The plug was usually a series of thin plates of spiny pāhoehoe (Figs. 5 and 6). The velocity gradient on either side of the plug caused shearing and as a result the crust was torn and rolled (Moore 1987; Rowland and Walker 1990; Kilburn and Guest 1993). Consequently, the surface of the marginal shear zones was characterized by spinose, rotating, balls of pasty crust that are, in effect, incipient ‘a‘ā clinker (Fig. 5e) or ‘a‘ā cauliflower (Kilburn and Guest 1993).

This plug-dominated surface morphology resulted in a thermal structure similar to the one observed and measured by Flynn and Mouginis-Mark (1994) on Kilauea. The shear zones at Etna displayed the two component thermal structure of Crisp and Baloga (1990) with relatively cool crust separated by high temperature incandescent zones (Fig. 5 and Table 1). Material exposed at the high temperature zones was typically cooler than the flow core temperature. The maximum incandescent surface temperature was 1,042°C compared to a thermocouple-derived flow core temperature of 1,065°C (Table 1). The plug also showed a two-component thermal structure, but the crust percentage was higher, and both the crust and incandescent temperatures were cooler (Fig. 5 and Table 1).

Table 1 Temperatures measured using Land/Minolta 152 thermal infrared thermometer

Variations in flow velocity, plug width and surface morphology

The temperature recorded by the Minolta-Land Cyclops 300 infrared thermometer is an integrated temperature (T int) described by:

$$L(\lambda,T_{{\mathop{\rm int}}}) = pL(\lambda,T_{{\rm crust}}) + (1 - p){\rm}L(\lambda,T_{{\rm high}})$$
(5)

in which L is the Planck function for a blackbody radiating at wavelength λ and temperature T, p is the FOV portion occupied by cool crust at temperature T crust, and T high is the temperature of hot material occupying the remainder of the FOV. Thus a decrease in T int (5) implied an increase in crust coverage, and/or a decrease in T crust and/or a decrease in T high. This is consistent with a scenario where reduced velocities are associated with wider more coherent plugs, narrower marginal shear zones, and more extensive and/or cooler crusts within the marginal shear zones. Conversely, higher velocities were associated with narrower plugs, and less extensive and/or cooler crusts, and hence higher T int. Thus T int can be used as a proxy for vigor (velocity) of the flow, although it is not precise as temperature change appears to lag ∼15 min behind changes in velocity. This is not unexpected for a cooling and evolving flow.

The time series of T int indicated a systematic variation in flow conditions that correspond to visual observations (Fig. 7a and b). Flow in the channel showed a cyclic evolution beginning with increases in the channel level and flow velocity, which led to pulses in the bulk flux of lava. These pulses of fast moving lava, lasting a few minutes propagated down-flow with a well-defined front (Fig. 8). Peaks in the T int marked such pulses as the increased flow velocity caused increased crust disruption and narrower plugs. After the pulse passed increasingly sluggish flow would develop over time scales of tens of minutes. During such periods, flow velocity would steadily decline, plug widths would increase, and T int would decrease. At the same time, the channel would become increasinglyinefficient with blockages developing and the level of the surface up-flow steadily rising due to backup behind blockages. The blockages would eventually be cleared by another pulse that would mark the beginning of a new cycle.

Fig. 7
figure 7

a Thermal infrared thermometer time series shown by 50-point moving average for May 30. Coincident times when FLIR data were captured are indicated. b Thermal infrared thermometer time series for May 31. c Plug width, flow velocity and thermal infrared thermometer signals recorded during pulse-cycle 2

Fig. 8
figure 8

Photograph of pulse propagating down the channel and overtopping the levees on May 30. Flow front is ∼10 m wide

Pulse cycles typically had a 2 to 3.5-h-long duration. Over this time scale, the surface flow velocity (vmax) varied from 0.05 to 0.29 m s−1. Using Eq. (3) this converted to a variation in bulk volume flux (Bflux) of 0.1–0.7 m3 s−1 (Table 2). The width of the central plug (\(w_{\rm p}\)) varied from 1.2 m during periods of low flux to 0.75 m during high periods (Fig. 7c). Changes in plug width due variation in flow rate is a feature of lava channels that has been predicted by laboratory simulations (Griffiths et al. 2003).

Table 2 Measurements calculated for actively flowing channel using measurements made on FLIR images and Eq. (1)

Overflows due to flow pulses

Pulses that over-spilled the channel (Fig. 8), fed overflows spiny pāhoehoe flow units (Figs. 5a and 9). Each pulse lasted a few minutes, after which flow velocity and level declined such that flow could be accommodated within the channel once more. The pulse would propagate down the entire channel; initiating spiny pāhoehoe overflows along the way. Once the pulse moved on down-flow each overflow became starved of supply and consequently they extended no more than 20 m from the channel, and were typically <0.5 m thick.

Fig. 9
figure 9

Overview of the channelized flow section. a The first FLIR image collected on May 30 shows hot active flow in white and yellow, cooling overflows in orange, and cooler levees in purple and blue. The central channel and recent overflows are clearly distinguishable. Channel section is ∼100 m long. b Schematic of the channel section, surrounding cooling overflows when observations began on May 30 and locations of subsequent blockages formation

Plastering of multiple overflows during repeated pulses caused the construction of even higher and overhanging levees (Figs. 4 and 5) such that the channel profile evolved from an approximately rectangular form to one resembling an upside-down light bulb (Fig. 4). Eventually, overhanging rims extended to completely seal the channel, forming sections of tube (Calvari and Pinkerton 1998). Pulses also flushed away blockages that had formed in the channel. The increased efficiency of the channel immediately following a pulse meant that lava was relatively free flowing and typically returned to a level below the channel rim. However, following the pulse the flow would steadily become more sluggish, leading to the formation of blockages and decreasing the lava's ability to flow freely.

Overflows due to blockages

The blockages developed at the same location during each cycle, where the channel width narrowed to 1–2 m (Fig. 9). Here solidified crust, as well as levee debris that had fallen into the channel, accumulated to form a coherent pile of rubbly material extending across the flow surface (Fig. 5f). Continued flow beneath the blockage meant that these were surficial features: roofs rather than true blockages. Sometimes these blockages continued to grow ∼10 m upstream, forming a coherent roof over the channel with flow continuing beneath the roof. Usually such extended roofs were ephemeral and were destroyed during the next pulse.

By decreasing the efficiency of channel flow, blockages caused lava to backup in the channel and occasionally overflow. Such overflows were slow moving ‘a‘ā that moved down the outer flank of the levee (Fig. 5b). One such flow on May 31 advanced ∼30 m in 15 min, giving a mean velocity of 0.03 m s−1. Once a blockage collapsed or was removed by a flow pulse, the flow level dropped, and the overflows starved. Unlike the pulse-fed pāhoehoe overflows, the ‘a‘ā overflows due to blockages were localized, short and narrow (Fig. 9). Three of these ‘a‘ā overflows observed during the afternoon of May 31, for example, were 10–20 m long, 3–4 m wide and ∼0.5 m high.

Flow surges

The release of lava that had backed up behind a blockage caused rapid but short-lived increases in the volume flux down-channel of the blockage. These surges propagated down-flow as small waves. Such events were often subtle, and only evident in sped up sequences of FLIR images.

They differed from pulses in that pulses appeared to emanate from the vent, whereas surges were fed by release of backed up volumes contained within the channel. In addition, the volume flux associated with surges was much lower than that with pulses; surges were always contained within the channel and did not contribute to levee construction, except for perhaps on the inner channel walls.

We identified two mechanisms of surge generation. The first, a type-1 surge, involved partial or total collapse of a blockage (Fig. 10). If blockage collapse was large enough or occurred in stages multiple surges would result. Type-2 surges were generated by stronger, more substantial blockages. Again, the event involved sudden release of backed up lava that generated a down-stream wave, but in these cases the surge was generated without the blockage totally disintegrating (Fig. 10). The type-2O events resulted from lava backing-up to such an extent that is simply overtopped the blockage, whereas type-2U events may have been due to failures of submerged sections of the blockage. On some occasions, a hybrid event could occur whereby the surge started as type 2 but as the backed up lava flowed over or under the blockage it collapsed and type-1 event followed. This often created double or even triple surge-fronts.

Fig. 10
figure 10

Cross-sectional views showing modes of formation of type-1 (due to blockage collapse), type-2O (flow over blockage) and type-2U (flow under blockage) surges

Temporal variation in channel flow rates and morphology

Graphical representation of thermal measurements made from ∼14:30 to 20:30 on May 30 reveal an approximately sinusoidal variation related to cycles of a pulse followed waning flow (Fig. 7a and b). Each thermal cycle begins with increase to a peak related to high-integrated surface temperatures during vigorous, high velocity flow, followed by a steady decay due to a slow reduction in flow rate. All peaks corresponded to observed pulses propagating down-flow. FLIR images acquired on May 30 indicated older inactive, but recently emplaced pāhoehoe overflows. Based on the degree to which they had cooled the pāhoehoe overflows indicated that the pulsing activity had been occurring for at least several hours previous to the start of our observations. Activity was continuing in a similar style when measurements were stopped for the night.

During the first 3 h of observations during May 31, flow continued at a relatively stable volume flux. Thus backup and surge-related processes associated with blockages dominated activity at the channel, because the channel was not periodically cleared of debris in the way it had been by pulses throughout May 30. A gradual decrease in the thermal output during this time related to steady stagnation of flow behind an increasingly large blockage that was able to mature during this prolonged period of non-pulsing flow (Fig. 7b). However, at 17:53 there was an upturn in the thermal trend, correlating with visual observations of a return to the periodic pattern of pulses.

This channel was thus fed at a variable rate, in cycles beginning with an increase leading to a pulse, and ending with a period of decline. During each pulse, extensive pāhoehoe overflow units were emplaced, where-as during each phase of waning flow blockages, tubes and ‘a‘ā overflow units developed. Table 3 provides a summary of blockage, overflow, surge, pulse and lava tube formation events associated with each cycle, and Figs. 11 and 12 map the effects of these cycles on the channel and levee evolution. Appendices I and II provide more detailed timelines of blockage, overflow, surge, pulse and lava tube formation events during May 30 and May 31, respectively.

Table 3 Pulse events observed (OF = overflow, S = surge, P = pulse, B = blockage, T = Tube)
Fig. 11
figure 11

Time series of maps derived from FLIR images showing the main events in the morphological evolution of the channel during May 30. The maps are simplified versions of FLIR images and highlight the features at higher temperatures than general background temperatures. Higher temperatures are shown by lighter shades. White = hot fluid lava, black = background temperature. Stages are summarized as follows. a Initial channel state showing extensive, cooling pāhoehoe overflow unit (OF1) emplaced during a recent pulse. In addition a cooler (older) ‘a‘ā overflow unit emplaced during backup is apparent up-stream. b Low, post-pulse fill level leads to levees slumping and cracking. c Debris blockage forming at construction during increasingly sluggish flow. d Lateral backup related to the blockage feeds ‘a‘ā overflow. e Lateral flow stagnated; blockage still in place. f Blockage clearing slightly. g Levees growing together by accretion. h Levees and debris form tube. Abbreviations used are: OF = overflow, B = blockage. T = lave tube

Fig. 12
figure 12

Time series of maps derived from FLIR images showing the main events in the morphological evolution of the channel during May 31 (see Fig. 11 for explanation and key). a Initial channel state showing pāhoehoe overflow (OF1) still at above background temperatures. b Levees thickening by accretion at partial blockage. c Trapped debris creates full blockage. d Blockage partially cleared. e Blockage spalling and building at equal rates to maintain a constant length. e Blockage growing such that clinker is pushed over levee tops. f Lots of debris blocking channel resulting in high fill level. g Tube and lateral ‘a‘ā overflow forming

Pattern and frequency of flow pulses

Our data define three phases of activity (Fig. 7a and b) and five separate pulse cycles during the observation period(Table 3, Fig. 7a and b). Phase 1 was characterized by cyclic changes in the integrated temperature, which were associated with four pulse cycles during 6 h of observations (Fig. 7a). Phase 2 was a 4-h-long period during which pulses were absent and T int remained roughly constant. Phase 3 was a period of pulsing activity similar to phase 1, which continued after the cessation of observations. However, T int for the first pulse cycle during phase 3 (pulse cycle 5; Fig. 7b) showed a much sharper peak and shorter cycle wavelength, than in phase 1. A reversal in the thermal trend at 15:51, FLIR data and visual observation suggests that there was actually a transitory period between phases 2 and 3. Between 15:51 and 17:52 there was a small increase in channel flux and velocity that led to a few small overflows, and was followed by a waning period before the advent of pulse 5. Further observations after the conclusion of measurements suggested that wavelengths of subsequent cycles increased to values similar to those recorded the previous day.

Pattern and frequency of surge events

Surge events displayed lower thermal amplitudes but a higher frequency than pulse events. In addition, their temporal occurrence was less systematic than the cyclic behavior exhibited by the pulses. During our observations 50 surge events were identified from the FLIR data (Fig. 13). Surge events occurred, on average, once every ∼9 min during May 30, and once every ∼10 min on May 31. Surges were best detected using a visual analysis of the fast motion FLIR movies to identify the down-flow propagating wave associated with each event. However, Fig. 13 gives a plot of the maximum pixel temperature encountered just down-flow of blockage site B (where most surges originated; Fig. 9) and shows that surges are always associated with a peak in the maximum temperatures, although not every peak was related to a surge. This may be explained by an increase in velocity and shearing of the flow surface during passage of the surge to expose higher temperature material. The Minolta-Land thermometer was aimed at a point upstream the blockage sites (Fig. 9), and its data do not reveal any surge-related spikes, but instead showed variations related to the pulse cycles (Fig. 13). This confirmed that the blockage was the source of the surges, and hence they are short-term increases in the discharge generated by processes that occurred within the channel itself, rather than in the conduit and/or main vent.

Fig. 13
figure 13

Maximum FLIR-derived temperature obtained from pixels immediately downstream from blockage and thermal infrared thermometer integrated temperature trace. Surges identified from fast-motion FLIR movies are indicated with numbers

We found that surges are typically less frequent as the channel flux increases before a pulse and that surges occurred more than twice as frequently after a pulse had passed (Table 4). This was a result of the increasing velocity prior to a pulse, which allowed the channel to more efficiently carry away debris, which otherwise formed the obstructions that created surges. As flow stagnated, these blockages were more readily able to form and surges occurred more frequently. The clearing effect due to a pulse propagating along the channel only stops surges occurring for a few minutes after its passing.

Table 4 Frequency of surges during different pulse cycles

Conclusions

Although the observed channel could have been described as stable in terms of its longevity and morphology, flow flux over time scales of tens of minutes to hours was far from stable. Unsteady flow, peaking at 0.7 m3 s−1 and waning to 0.1 m3 s−1, typified the flow regime and a characteristic cycle could be identified (Fig. 14). Each cycle started with a high velocity (up to 0.29 m s−1) pulse, which overwhelmed the channel to emplace pāhoehoe overflow units and contributed to a compound, overhanging levee form. In addition, pulses cleared any blockages and hence increased the efficiency of the channel. Pulses were followed by periods of waning flow, during which surface velocities fell to 0.05 m s−1, and viscosity and yield strength increased. Blockages that formed during waning stages caused lava to backup up-stream of the blockage, and occasionally to overflow to feed slow moving ‘a‘ā overflows that advanced a few tens of meters down the levee flank. In the case described here, compound levees were thus symptoms of unsteady flow, where overflow levees were emplaced as relatively fast moving pāhoehoe sheets during pulses, and as slow moving ‘a‘ā units resulting from backup behind blockages.

Fig. 14
figure 14

Characteristics of a pulse-cycle: As the cycle builds-up to a maximum flow rate, flow velocity increases and plug width reduces to a minimum. After a pulse passes flow velocity decreases plug width increases to a maximum and flow rate reduces to a minimum. The integrated temperatures recorded by the thermal infrared thermometer show the cyclic changes

We suggest that such unsteady flow may be a common feature in basaltic lava channels. Previous evidence has suggested that effusion rate changes can occur over periods of minutes to hours (Lipman and Banks 1987; Harris et al. 2000; Lautze et al. 2004). Lipman and Banks (1987), for example, observed episodic bulk volume flux variations in the 1984 Mauna Loa channel occurring over periods of minutes to hours. They noted that some of these changes reflected gas content and lava density variations rather than variations in the erupted volume flux. During the 1983 Etna eruption, fluctuations in flow velocity of ∼20% occurred over a periods of 2 to <24 h (Frazzetta and Romano 1984; Guest et al. 1987). In our case, we observe large variations in flow rate on a timescale of tens of minutes.

Our problem is that without samples we cannot tell how much of the variation in the bulk volume flux was due to variations the dense rock volume flux and how much was due to variation in the vesicularity. Our preferred hypothesis is that pulses were caused by short-term variations in the erupted flux from the vent, and involved the arrival of a batch of slightly higher temperature, lower crystallinity, and/or higher vesicularity batch with a reduced viscosity and yield strength.

Unsteady flow has implications for the collection of effusion rate data. Measurements of flow rates must consider natural, short-period variations in order to produce average values that truly reflect changes in the source effusion rate. Particular care must be taken not to use data that are falsely high due to measurement during a relatively short (and anomalous) pulse or surge period. In our case, the true eruption rate would not have been obtained unless numerous measurements were taken over a minimum 4-h period. Our results also show that scatter in effusion rate calculations may often be genuinely occurring due to unsteady flow and not due to measurement errors. New models should therefore include an adjustment that accounts for fluctuation in the effusion rate if they are considering changes in flow rheology over periods of hours or more. The FLIR thermal camera in combination with the Minolta-Land Cyclops 300 thermal infrared thermometer provide the ideal instruments to acquire the quantitative data required to make this adjustment.