How to read the Icelandic borehole strain and seismicity plots and NtV Riddle

In this post I will elaborate on how to understand the Icelandic borehole strain and seismicity graphs. For the experts I might just be stating the obvious, but for the more general public (like myself) this might be a guide on how to understand all these enigmatic waves and ripples.

This map shows the locations of three kinds of instrument that monitor earthquake and volcanic activity around Hekla volcano. SIL stations (of the South Iceland Lowland automatic earthquake data acquisition and evaluation system; black triangles), GPS stations (yellow) and volumetric borehole strainmeters (green squares).

Location of the SIL and GPS stations and borehole strainmeters.  Image courtesy of IMO http://hraun.vedur.is/ja/hekla/Stadsetning_stodva_31052011.jpg

Location of the SIL and GPS stations and borehole strainmeters.
Image courtesy of IMO
http://hraun.vedur.is/ja/hekla/Stadsetning_stodva_31052011.jpg

Strainmeters can be of various design. In Iceland we are dealing with Sacks-Everton volumetric strainmeters. Wikipedia reveals: “a design that uses specially shaped volumes to measure the strain tensor.” In other words, changes to the volume of a fluid filled chamber anchored in the borehole.

The sample rate of the volumetric strainmeter data is one second (1 sps = samples per second, i.e. 1 Hz). The unit “strain counts” on the vertical axis is arbitrary, because a gain is manually set to determine what amount of relative change in strain or stress is one count. Strainmeters indicate ground velocity (displacement per time). Positive strain values mean volume increase in the bedrock (extension due to tension force, i.e. strain), negative values decrease of volume (contraction due to compressive force, i.e. stress). If you think of driving a vehicle, this plot shows your velocity relative to the starting velocity, since the start of the trace is always set to zero. A massive drop or rise might for example indicate you came to full stop at a tree or reached escape velocity for space travel.

Whether a strainmeter shows extension or contraction during an eruption depends on its relative position to the conduit/rift, see the opposite reactions during the Hekla 2000 eruption.

Image courtesy of IMO http://hraun.vedur.is/ja/englishweb/heklafigure1.html

Búrfell darkblue,
Saurbær blue, Skálholt red, Geldingaá yellow, Stórólfhvoll violet, Hella light blue. Image courtesy of IMO
http://hraun.vedur.is/ja/englishweb/heklafigure1.html

Besides the Hekla strainmeter Búrfell is the second closest to Hekla, roughly 15 km at a perpendicular angle to the rift direction. The huge strain drop (i.e. massive stress increase) at Búrfell was interpreted as magma forcing it’s way up, opening a conduit. On the other hand, the simultaneous strain increase (decreased stress) at the other stations was due to emptying of the magma chamber. Here is further (paywalled) read on the strain during the 1991 Hekla eruption. The unit nanostrain indicates a change by a billionth part of the volume, i.e. 10-9. Earthtides are known to have an amplitude of about 50 nanostrains. The 2000 eruption caused a sudden drop about an order of magnitude larger.

A seismometer literally measures shaking, i.e. motion of the ground, which can be recorded as a seismogram.
The seismometers of the SIL array can both measure ground displacement (unit is meters per second, m s-1) or be used as accelerometers (unit meters per square second, m s-2).
Most Icelandic seismometers are 5 sec (0.2 Hz resonant frequency, limiting the frequency range) Lennarz seismometers. The sampling frequency is 100 Hz. The Haukadalur seismometer (63°58´08.4´´ N / 19°57´54.0´´ W, appr. 10 km West of Hekla) is a LE-3D/5s, measures oscillations in three dimensions (“transverse”, North-South; “radial”, East-West; “vertical”, Up-Down).

Image courtesy of IMO http://hraun.vedur.is/ja/hekla/oroi_hau.html

Tremor amplitude time series with different frequency bands. Vertical axis: One-minute averages of the vertical component of the tremor amplitude, x micro meters s-1. Image courtesy of IMO
http://hraun.vedur.is/ja/hekla/oroi_hau.html

First of all, this graph does not show the raw seismogram, but is a spectral analysis. You remember the colorful spectrograms from the El Hierro stations? A spectral analysis is performed on the waves of the seismogram to extract oscillations of different frequencies. Several algorithms can be used to create a spectrogram, for example STFT, short-time Fourier transformation, or CWT, continuous wavelet transform. For El Hierro the amplitudes are given over the whole frequency range while in Iceland they show averages of three frequency bands.

This example is a tremor amplitude time series showing averages of the frequency bands 0.5–1.0 Hz (red line), 1.0–2.0 Hz (green line) and 2.0–4.0 Hz (blue line), of the vertical component (Z) for the station HAU. Unfortunately the vertical axis is not labelled, but is presumably representing the amount of bedrock displacement in micro meters per second multiplied by a variable scaling factor (x). The values are presumably one-minute averages. An example for this analysis is described e.g. in this thesis, see p. 564 ff.

The blue trace (high frequency band, fast shaking) mainly represents earthquakes and the green and red traces (low frequency bands, slow shaking, harmonic tremor) tremor from magma movement, which for Hekla is usually in a well-defined spectral band at 0.5–1.5 Hz (see the thesis).
Based on previous observations, the  following scenario might occur when the next eruption is about to happen: First there will be more earthquakes opening a fissure, showing as an increase of the blue earthquake trace amplitude by an order of magnitude. When the fissure is opened earthquake activity seizes and the blue trace will go back to normal. Meanwhile the magma starts spilling out and a sudden increase in the red and green tremor trace amplitude by at least an order or magnitude will be seen, which gradually decays with decreasing pressure. What we should actually look for in this graph is not the width of the traces, which only indicates how much the shaking amplitudes vary, but a really really strong rise of the curves as seen in 2000:

Tremor amplitude time series with different frequency bands mage courtesy of IMO http://hraun.vedur.is/ja/hekla/hau20000226.gif

Tremor amplitude time series with different frequency bands. Vertical axis:  One-minute averages of the vertical component of the tremor amplitude, x micro meters s-1. Image courtesy of IMO
http://hraun.vedur.is/ja/hekla/hau20000226.gif

Lastly, the following graph is a composite of data derived from the volumetric borehole strainmeters and from the Haukadalur seismometer, plus information on local earthquakes determined by the SIL system.

Image courtesy of IMO http://hraun.vedur.is/ja/hekla/borholu_thensla.html

Upper panel: Volumetric strain rate.
Lower panel: earthquake magnitude (left), horizontal components of tremor amplitudes (right)
Image courtesy of http://hraun.vedur.is/ja/hekla/borholu_thensla.html

The upper part shows the “two-minute median from one-second data” of borehole strain rate (strain counts per second) measured by the four stations Búrfell, Hekla, Hella and Stórólfhvoll. See the green squares on the map. A change of the strain rate means the bedrock is compressed or extended faster or slower than before. The cause of this is a change in the pushing or pulling forces. Think of it as your vehicle being accelerated or decelerated when pushing your gas or brake pedal. This graph shows what your feet do. When Hekla erupted in 2000 the strain rate looked like this:

The rate of strain changes in Búfell (blue, 15 km from Hekla) and Skálholt (red, 45 km from Hekla) (Nanostrain per hour) Image courtesy of IMO http://hraun.vedur.is/ja/englishweb/heklafigure3.html

The rate of strain changes in Búrfell (blue, 15 km from Hekla) and Skálholt (red, 45 km from Hekla) (nanostrain per hour)
Image courtesy of IMO http://hraun.vedur.is/ja/englishweb/heklafigure3.html

The minimum in the strain rate indicates the time of the surface breakout of the magma, along with the visual observation of the eruption at 18:17.

Because the ground is moved by several variable sources, mainly earth tides (very slow change in strain counts rate) and microseismicity (very fast change in strain counts rate) the above mentioned two-minute time range is chosen by which these events are filtered out. Then the median, the mean value separating the higher half of a data sample from the lower half, is plotted.

The left axis in the lower part shows the magnitude (in Ml) of local earthquakes. Since most of the time there are no earthquakes (counted in the lower right corner) no trace appears.

The right vertical axis in the lower part indicates the bedrock displacement, i.e. velocity in micro meters per second. The data is derived from the horizontal components (North and East) of the Haukadalur tremor amplitude time series data, which are 60-sec averages. Short-lasting shaking, for example caused by single earthquakes or a sledge hammer, are averaged out by plotting the the three-minute median. When an eruption is imminent, the blue (high frequency) trace will rise first indicating fissure opening and the green and red traces will follow when the eruption starts.

Standard VolcanoCafé disclaimer: I am not an expert on this topic, just read a few papers while researching for the post. Please excuse me if I jumped to false conclusions and feel free to post corrections!

chryphia

Many thanks to the dragons who read the draft and special thanks to Geolurking for helpful comments! :-)

Other links:
-The SIL seismological data acquisition system – As operated in Iceland and in Sweden. Abstract only (2003)
-How a seismometer works from Sep 25, 2012 by Geolurking
-Summary about long and short period and broadband seismometers in this blog post
-ON THE USE OF VOLUMETRIC STRAIN METERS TO INFER ADDITIONAL CHARACTERISTICS OF SHORT-PERIOD SEISMIC RADIATION
-Seismometers of the SIL used as accelerometers
- Earthquake engineering research center, University of Iceland operating the Icelandic strong-motion network since 1984.
-Sturkell et al., 2005, Volcano geodesy and magma dynamics in Iceland
-Description by IMO of the Hekla 2000 eruption.
-Visualizing Stress is a good site, even if you are not into the math aspects of it, it has some really good narative data in the tutorials.

Name those Volcanoes Riddle

1 point for each volcano … enjoy!
No 1 - Did it crash in the Gobi Desert during CE3K? SOLVED COTOPAXI
No 2 - Volcanic group associated with siblings and satelites. SOLVED LES PLEIADES
No 3 - In English it can be added to seal, crow and mantis. SOLVED HEKLA
No 4 - Bruce and Nigel’s buddy studies this one. SOLVED Axial Seamount
KILGHARRAH

Dead horse

The 2012 Super-moon. The largest full moon in 18 years. And no, it did not cause any large earthquakes either.

What exactly does that mean? Well, having a dead horse, in more modern navy slang, is having a debt that comes out of your pay to cover short term loan that the paymaster gave to you. It’s money you don’t see until it’s paid off. There’s nothing wrong with it, you should always pay your debts, but that is just a term that is applied to it. It comes from older nautical days when sailing was prevalent. If your ship was becalmed for extensive periods, odds are, you would run out of feed any livestock that you were transporting. The last thing you want laying around while you are stuck waiting for the wind… are dead horses. I’ve been around the stench of decaying animal copses (MV Livestock Express in the Red Sea) and it is not a pleasant aroma. (the Livestock Express had about 300 sheep stacked in one corner and couldn’t dump them due to environmental regulations)

Yeah, it’s an obtuse approach to the meat of this, but it is related… sort of.

The Horse latitudes are between about 30 and 35 degrees latitude. It’s pretty close to the boundary that I used in this chart.

Image by GeoLurking.

In case you missed it, this is one of the follow up charts that I used down in the discussion in the Moonie post. And, since I’m beating a dead horse, I felt the intro was appropriate.

That chart is a plot of the major plate boundaries between 30°N and °N and 30°S. It’s also the region traversed by the apparent sub Lunar and sub Solar points. That means that they both pass directly over head in this region at some point during the year. (plus about 5° of slop just to make it even)

Edward Lane at April 22, 2012 at 14:54 brought up a good point that spurred me back into thinking about the forces at work on the different ends of the plate boundaries. As many of you remember, I mentioned that if there were an effect, that there should be a physical explanation for it… at least an idea of a mechanism. Something that could be examined to see what the merits of the parent idea were. (Solar/Lunar influence).

Simplifying that plot into something that we can sort of measure, you get this:

Image by GeoLurking.

This is the angular measure of the extents of the plates in longitude as measured from the center of the Earth. The vertical boundaries are misleading, they actually get closer to each other the further from the equator they go. But for getting a general idea of their size, this works.

Now, since the Moon is pretty close, and it’s generally the most touted astronomical body that influences seismic activity, let’s look at what it’s effects might be.

Gravitational acceleration on the surface of the Earth is 9.8 m/s per second. This can also be expressed as N/kg of force. (9.8 N/kg). What is the comparable acceleration effect of the Moon on an object on the Earth? Roughly 0.00003319 m/s² towards the Moon.

How about the variation from one end of a plate to another, allowing for the extra distance from the Moon? Well, for a 30° plate, from directly under the Moon to the end furthest away… 0.00000015 m/s² less.

Here it is in graphic form:

Image by GeoLurking.

Referring back to the rectangular boxes on the plates… the largest extent was about 114°. That plate has an acceleration difference from the Moon of about 0.00000150 m/s², or ten times greater than the 30° plate.

Either way, that variation in force from the moon is still about 0.0000153% that of the gravitational force from the Earth.

This also explains why the researchers who have found a Lunar effect on some already seismically active areas have such a hard time extracting that signal, it is excruciatingly small.

GeoLurking

Askja – Getting warmer?

As most of you know I started to say that Askja is heading towards an eruption a couple of years ago. The reason back then was the persistant seismic activity in the Dreki area and the Herdubreid area. Later Hazel Rhymer published a paper with information about an inflation taking place within the caldera, and towards the Herdubreid volcano.

After that we have seen continuation of seismic activity and continued uplift together with harmonic tremor episodes.

Now it seems like the Öskjuvatn Caldera Lake is ice free, something that last happened before the 1961 eruption. During a fly-over with thermal imaging cameras no heat spots where found on the surface which indicates a possible deeper source. There is a slight possibility this might have been due to warm south-easterly winds, but we are talking about a lake that normally is iced over into late May, and that has residual ice in July.

Photograph by Hreinn Skagfjörð Pálsson. Öskjuvatn on the 27th of March. The lake is here totally ice free.

It is not a far stretch of the mind to imagine that this is due to a hydrothermal upwelling from the newly emplaced magma under the center of the caldera. The energy needed to warm the lake, if that is what is happening, would be rather large since this lake is more than 200 meters deep.

According to Björn Oddson at the Icelandic Volcanological Institute there is no evidence of an imminent eruption going to take place. He also states that to be sure if it is the southern warm winds or a geothermal event, measurements taken directly in the lake is needed. If it is a geothermal event the chemistry of the lake would have been altered.

http://mbl.is/frettir/innlent/2012/04/02/oskjuvatn_islaust_med_ollu/

http://www.vatnajokulsthjodgardur.is/starfsemi/a-dofinni/nr/604

Update

We can scrap the idea of warm southerly winds as the cause for the melted ice. Why? Well, all other lakes of the highland/inland are still covered in ice. Even those that are considerable lower and closer to the sea. I never really believed that the warm wind would be the reason, but it is always good to have another explanation at hand.

I would also like to point out that Öskjuvatn is not a layered lake. There are two versions of layered lakes, one is of the Lake Nyos type where gas at depth works as a layering agent, Öskjuvatn is not deep enough for that to happen. The other version are thermoclinate layered lakes. This cannot happen at Öskjuvatn since heat is induced from below, and the heat rises uniformly through the body. Thermally layered lakes operate the other way around with a colder bottom than the top, which creates a sharp thermoclinate boundary. At Öskjuvatn the temperature drops uniformly as it closes the cold surface water. Just an heads up to avoid theories that are running oposite to the laws of thermodynamics.

Okay, there is third version of layered water bodies, but Öskjuvatn is not a salty lake… So there are no thermohalines.

Update 2

http://vefmyndir.lv.is/halslon_inntak.jpg

This webcam shows the relatively nearby Halslon lake.

Update 3

According to IMO the lake was yesterday completely ice free and there was no ice floating in it. All 3 geothermal fields in the area was highly active. No point source heat was detected in the caldera.

IMO have decided to raise the level of monitoring to be able to closely follow the situation.

http://www.vedur.is/um-vi/frettir/nr/2463

Update 4

Image by IMO. Loud tremor event in Askja. Probably onset of the warming of the lake.

As many of you know a hydrothermal event is rather noisy. At around the strike of twelve o’clock at night between the 21st and 22nd of December 2011 a large tremor surge started at Askja, an event that lasted for many days. On this image it is running well into the 29th of December. This is the likely start of the event that has warmed the lake.

Thanks to Inge B who had archived the event and sent me the image.

Update 5

Our reader Wagabond has confirmed that the Askja SIL at the time it was showing the activity above had fallen down to the ground in hard wind. There went that nice theory about when the heating of the lake started. It is good to be wrong, best way to learn new things.

Update 6

In the never ending list of Updates to this post we have now come to number 6.

The Icelandic Police have closed down all roads leading towards the Askja area due to fear of poisonous gases being released by the volcano. Also they fear that other run-up features might potentially be harmfull. On Tuesday after the Eastern the IMO will go to the area for a check up.

http://www.mbl.is/frettir/innlent/2012/04/04/folk_fari_ekki_ad_oskju/

CARL