Calibration Epoch 13-Sep-2024
Alternative sources were introduced into Gundalf in 1Q2022. Currently they consist of a small number of sparker and boomer sources and a generic marine vibrator. Available calibration data for these is minimal in comparison to the mature state of measurement for airgun sources as detailed later in this document. It is currently limited to a small number of far-field signatures with which agreement is good, but the provenance of these is not well established and is comparable to the state of airgun measurement perhaps 10-15 years ago. As more data becomes available, we expect these alternative sources to slowly approach the current state of measurement in airgun sources, although it must be pointed out that the acquisition of high-quality near- and far-field signatures is an expensive business and the investment may not be available. Suffice it to say, Gundalf will track this situation as well as we are able. For now, we view calibration status for each of these sources as moderate at best, although are likely to be reasonably close.
Calibration is an important issue in airgun modelling to provide confidence in the quality of the modelling results. Oakwood Computing Associates Ltd. maintain the policy of calibrating Gundalf against the best available data of quantifiable quality. In general, this is restricted to data shot in a measurement facility with calibrated phones, calm water and careful control over the positioning of the guns and the measurement hydrophones. No attempt is made to match other modelling approaches.
From time to time, Gundalf is partially re-calibrated as more and more high quality measurement data becomes available. Gundalf uses a concept borrowed from astronomy and describes re-calibration milestones as epochs. The calibration epoch for any version of Gundalf is shown in the main File -> About menu underneath the revision date and version number. Oakwood Computing Associates Ltd. also notify all users of any such changes. Recent epochs and their associated changes are described below most recent first.
2024-Sep-30
2023-May-19
2023-Jan-31
2022-Sep-30
2020-Jun-30
2020-Jan-12
2018-Mar-30
2017-Aug-10
2016-Apr-18
2015-Oct-30
2015-Aug-09
2015-May-01
2015-Jan-07
2012-Oct-12
2011-Jul-15
2011-Feb-05
2010-Jan-07
2009-Aug-22
2009-Mar-31
2009-Jan-07
2008-Apr-12
2007-Apr-29
2006-Dec-12
2006-Aug-31
2006-Jun-02
2006-Mar-08
2004-Jan-06
2003-Feb-19
2002-Nov-30
Even when airgun signatures are measured in a calibrated facility, filtering differences can have a significant effect on the extracted statistics. The following table shows signature parameters extracted from a Bolt-supplied measurement facility far-field signature of a 200 cu.in. version of the popular 1500LL airgun with and without filtering.
Signature parameters and the effects of filtering
Filter type | peak - peak (bar) | Primary to bubble | Bubble period (s) |
---|---|---|---|
Out | 0.111 | 3.509 | 0.099 |
DFSV 5/0-512/72 | 0.112 | 3.741 | 0.096 |
Signature parameters are not even unique when the same filtering parameters are used because digital filters might be constructed in slightly different ways. The following table shows the effects of this on the same signature as used above.
Signature parameters and the effects of two different filters with the same parameters
Filter type | peak - peak (bar) | Primary to bubble | Bubble period (s) |
---|---|---|---|
Frequency domain constructed 5/0-512-72 | 0.118 | 3.509 | 0.099 |
DFSV 5/0-512/72 | 0.112 | 3.703 | 0.097 |
Several different sources were used for the calibration data presented here. Although each is high-quality and measured in an appropriate facility, on occasions they may only agree to within around 10%. Airguns themselves are generally highly consistent if performing normally, so such differences are almost certainly due to differences in hydrophone calibration, slight depth errors in hydrophone or gun placing, small variations in pressure or possibly filtering parameters which have not been documented properly. As an example, measurements of the same gun type and volume at two different facilities are shown below. The filtering was described as identical, although a mistake has obviously crept in somewhere. If such conflicts arise in Gundalf calibration, they are always resolved before calibration changes are applied. Gundalf is calibrated to best fit different sources of high-quality data for the same gun types.
Signatures for the same gun from different facilities presented as identically filtered
Source | peak - peak (bar m.) | Primary to bubble | Bubble period (s) |
---|---|---|---|
Facility 1 | 5.308 | 3.870 | 0.082 |
Facility 2 | 5.985 | 4.388 | 0.080 |
The normal parameters used to characterise an airgun signature are either:-
or
Each has advantages and disadvantages. The former uses only the direct arrival and is therefore independent of any anelastic behaviour of the surface and its effects on the ghost. Unfortunately, certain kinds of filter, (DFS filters are notorious for this), will suppress the bubble peak differentially with respect to the bubble trough. If zero to peak measurement is used, a highly optimistic primary to bubble ratio may result and in such cases the latter parameters are more suitable because they are more robust to filter differences on positive and negative peaks. Note that in both cases, the signature has been corrected back to 1m. here. Measured far-field signatures are not normally thus corrected and will be given in bars.
In the data below, if peak to peak measurements are used, then the primary to bubble ratio is also calculated peak to peak. If zero to peak is used, the primary to bubble ratio is calculated using the zero to peak values.
Note that all data were modelled with a sample interval of 0.5 msec and a flat sea surface was assumed with a reflection coefficient of -1.0.
These signatures were supplied by Mike Saunders of Bolt in December 2003. They are high-quality data recorded at a specialist facility. The Gundalf model is displayed concurrently with the recorded data. The depth has been extracted directly from the first ghost notch on the amplitude spectra.
Note that the small ripples at multiples of approximately 200 msec in the measured data are due to side and bottom reflections at the measurement facility itself and do not appear in the modelled data which assumes an infinite medium.
Gun type | Modelled and recorded signatures |
---|---|
1500 LL, 200 cu.in. | |
1500 LL, 300 cu.in. |
These data show signature statistics of 1500LL volumes from 30-290 cuin. calibrated against high-quality near-field measurements with depth control corrected from far-field measurements of the same gun. The data were kindly supplied by WesternGeco.
Gun and data type | Modelled and recorded signature parameters |
---|---|
Bolt 1500LL bubble periods | |
Bolt 1500LL peak -> peak amplitude (bar-m.) | |
Bolt 1500LL zero -> peak primary to bubble ratio |
These data were supplied by Mike Saunders of Bolt in December 2003. They are high-quality data recorded at a specialist facility. The Gundalf model is displayed concurrently with the recorded data. The depth has been extracted directly from the first ghost notch on the amplitude spectra.
Note that the small ripples at multiples of approximately 200 msec in the measured data are due to side and bottom reflections at the measurement facility itself and do not appear in the modelled data which assumes an infinite medium.
Gun type | Modelled and recorded signatures |
---|---|
1900LLX, 80 cu.in | |
1900 LLX, 200 cu.in |
These data were compiled from two sources. The Bolt brochure which gives a range of gun volumes 54-235 cuin at a depth of 5m and also signatures acquired at 10m by WesternGeco at a specialist deep-water facility under carefully controlled conditions for the same range of volumes. The two datasets match very well.
Gun and data type | Modelled and recorded signature parameters |
---|---|
Bolt 1900LLXT Gun bubble periods | |
Bolt 1900LLXT Gun Zero -> peak amplitude (bar-m.) | |
Bolt 1900LLXT Gun zero -> peak primary to bubble ratio |
These data were supplied by Mike Saunders of Bolt in December 2003. They are high-quality data recorded at a specialist facility. The depth has been extracted directly from the first ghost notch on the amplitude spectra. The Gundalf model and recorded signatures are shown accompanied by graphs of signature parameters over the full range of volumes.
Note that the small ripples at multiples of approximately 200 msec in the measured data are due to side and bottom reflections at the measurement facility itself and do not appear in the modelled data which assumes an infinite medium.
Gun type | Modelled and recorded signatures |
---|---|
8500 LL (APG), 80 cu.in. | |
8500 LL (APG), 200 cu.in. | |
8500 LL (APG), 380 cu.in. |
Gun type | Modelled and recorded signature parameters |
---|---|
APG Gun bubble periods | |
APG Gun peak -> peak amplitude (bar-m.) | |
APG Gun zero -> peark primary to bubble ratio |
These high-quality data were supplied by WesternGeco in October 2005. They were recorded at a specialist deep-water facility under carefully controlled conditions. The Gundalf modelled parameters and recorded parameters are shown over the full range of volumes at a conventional towing depth of 6m.
Gun and data types | Modelled and recorded signature parameters |
---|---|
Bolt 2800LLX Gun bubble periods | |
Bolt 2800LLX Gun Zero -> peak amplitude (bar-m.) | |
Bolt 2800LLX Gun Zero -> peak primary to bubble ratio |
These very high-quality broadband data were jointly supplied by Bolt and Schlumberger-WesternGeco in the period June-December 2014. They were recorded at a specialist deep-water facility under carefully controlled conditions with multiple transducers in the near and far-field and extensive data-logging including noise traces indicating the useable dynamic range to be in the range 40-50dB. The Gundalf modelled parameters and recorded parameters are shown over the full range of volumes at a conventional towing depth of 6m based on near-field hydrophones. Each signature was measured independently a number of times giving excellent redundancy and allowing error bounds to be placed on the measurements, making this one of the best curated datasets we have been able to use.
The dynamic range and the signatures themselves confirms that the anisotropy of the oscillating bubble is fundamentally turbulent allowing only approximate estimates to be made at kHz. frequencies, although these values are very low for this gun type as can be seen by the amplitude spectral comparisons below.
Gun and data type | Modelled and recorded signature parameters |
---|---|
Bolt e500A Gun bubble periods | |
Bolt e500A Gun zero -> peak amplitude (bar-m.) | |
Bolt e500A Gun zero -> peak primary to bubble ratio |
Gun and data type | Modelled and recorded signature parameters |
---|---|
Bolt e500B Gun bubble periods | |
Bolt e500B Gun zero -> peak amplitude (bar-m.) | |
Bolt e500B Gun zero -> peak primary to bubble ratio |
e500 type C guns have proven to be a little more difficult to calibrate and are currently registered in Gundalf as type 1 or code yellow calibration quality in comparison with types A and B which are both code green, the highest calibration quality.
Gun and data type | Modelled and recorded signature parameters |
---|---|
Bolt e500C Gun bubble periods | |
Bolt e500C Gun zero -> peak amplitude (bar-m.) | |
Bolt e500C Gun zero -> peak primary to bubble ratio |
The noise traces in this experiment suggest a useable dynamic range of 40-50dB whilst the data signatures indicate the random nature of the frequencies outside this range. The following spectral plots therefore indicate in broad terms the rapid decline in high frequencies for this gun type within the dynamic range indicated in the noise traces and its prediction within Gundalf. For all three types of e500, Gundalf accurately predicts the overall spectral shape within the region of good signal to noise.
e500A measured spectrum | Gundalf modelled e500A spectrum |
---|---|
e500B measured spectrum | Gundalf modelled e500B spectrum |
---|---|
e500C measured spectrum | Gundalf modelled e500C spectrum |
---|---|
These very high-quality broadband data were jointly supplied by Bolt and Schlumberger-WesternGeco in the period December 2015 - January 2016. They were recorded at a specialist deep-water facility under carefully controlled conditions with multiple transducers in the near and far-field and extensive data-logging including noise traces indicating the useable dynamic range to be in the range 40-50dB. The Gundalf modelled parameters and recorded parameters are shown over the full range of volumes at a conventional towing depth of 6m based on near-field hydrophones. Each signature was measured independently a number of times giving excellent redundancy and allowing error bounds to be placed on the measurements, making this one of the best curated datasets we have been able to use.
The dynamic range and the signatures themselves confirms that the anisotropy of the oscillating bubble is fundamentally turbulent allowing only approximate estimates to be made at kHz. frequencies, although these values are very low for this gun type as can be seen by the amplitude spectral comparisons below.
Gun and data types | Modelled and recorded signature parameters |
---|---|
Bolt e300A Gun bubble periods | |
Bolt e300A Gun zero -> peak amplitude (bar-m.) | |
Bolt e300A Gun zero -> peak primary to bubble ratio |
Gun and data types | Modelled and recorded signature paramters |
---|---|
Bolt e300B Gun bubble periods | |
Bolt e300B Gun zero -> peak amplitude (bar-m.) | |
Bolt e300B Gun zero -> peak primary to bubble ratio |
e300 type C guns have proven to be a little more difficult to calibrate and are currently registered in Gundalf as type 1 or code yellow calibration quality in comparison with types A and B which are both code green, the highest calibration quality.
Gun and data types | Modelled and recorded signature parameters |
---|---|
Bolt e300C Gun bubble periods | |
Bolt e300C Gun zero -> peak amplitude (bar-m). | |
Bolt e300C Gun zero -> peak primary to bubble ratio |
The noise traces in this experiment suggest a useable dynamic range of 40-50dB whilst the data signatures indicate the random nature of the frequencies outside this range. The following spectral plots therefore indicate in broad terms the rapid decline in high frequencies for this gun type within the dynamic range indicated in the noise traces and its prediction within Gundalf. For all three types of e300, Gundalf accurately predicts the overall spectral shape within the region of good signal to noise.
e300A measured spectrum | Gundalf modelled e300A spectrum |
---|---|
e300B measured spectrum | Gundalf modelled e300B spectrum |
---|---|
e300C measured spectrum | Gundalf modelled e300C spectrum |
---|---|
These high-quality data were supplied by WesternGeco in October 2005. They were recorded at a specialist deep-water facility under carefully controlled conditions. The Gundalf modelled parameters and recorded parameters are shown over the full range of volumes at 30m. Depths have been corrected using far-field data.
Gun and data type | Modelled and recorded signature parameters |
---|---|
Bolt 1500LL Gun bubble periods at 30m. | |
Bolt 1500LL Gun zero -> peak amplitude (bar-m.) at 30m. | |
Bolt 1500LL Gun zero -> peak primary to bubble ratio at 30m. |
These high-quality data were supplied by WesternGeco in October 2005. They were recorded at a specialist deep-water facility under carefully controlled conditions. The Gundalf modelled parameters and recorded parameters are shown for a single 1900LLX gun for depths ranging from 3m to 10m.
Gun and data type | Modelled and recorded signature paramters |
---|---|
Bolt 1900LLX Gun bubble periods v. depth | |
Bolt 1900LLX Gun zero -> peak amplitude (bar-m.) v. depth | |
Bolt 1900LLX Gun zero -> peak primary to bubble ratio v. depth |
These high-quality data were supplied by WesternGeco in March 2007. They were recorded at a specialist deep-water facility under carefully controlled conditions. The Gundalf modelled parameters and recorded parameters are shown for a single G 150 gun for depths ranging from 10m to 30m. Depths have been corrected using far-field data.
Gun and data types | Modelled and recorded signature parameters |
---|---|
G 150 Gun bubble periods v. depth | |
G 150 Gun peak -> peak amplitude (bar.) v. depth | |
G 150 Gun peak -> peak primary to bubble ratio v.depth |
These high-quality data were supplied by WesternGeco in August 2005. They were recorded at a specialist deep-water facility under carefully controlled conditions. The Gundalf modelled parameters and recorded parameters are shown for a two-gun 1900LLX cluster for depths ranging from 3m to 10m.
Gun and data types | Modelled and recorded signature parameters |
---|---|
Bolt 1900LLX 2-gun cluster bubble periods v. depth | |
Bolt 1900LLX 2-gun cluster zero -> peak amplitude (bar-m.) v.depth | |
Bolt 1900LLX 2-gun cluster zero -> peak primary to bubble ratio v. depth |
These high-quality data were supplied by Alain Regnault of CGG in May 2003. A range of single guns were used and the data are showed as zero - Peak amplitude, zero - Peak primary to bubble and bubble period for a range of guns from 45-250 cu.in.
Gun and data types | Modelled and recorded signature parameters |
---|---|
Sleeve Gun bubble periods | |
Sleeve Gun zero -> peak amplitude (bar-m.) | |
Sleeve Gun zero -> peak primary to bubble ratio |
These high-quality data were taken from the IO brochure dated 2004. A range of single guns were used and the data are showed as zero - Peak amplitude, zero - Peak primary to bubble and bubble period for a range of guns from 70-300 cu.in. Agreement is excellent across the full range of volumes.
Gun and data types | Modelled and recorded signature parameters |
---|---|
Sleeve Gun II bubble periods | |
Sleeve Gun II zero -> peak amplitude (bar-m.) | |
Sleeve Gun II zero -> peak primary to bubble ratio |
These data were extracted from the Sercel Marine Sources brochure from 2007. No signatures are available so the peak to peak and primary to bubble have been taken from the brochure for GI guns in normal airgun mode, harmonic mode and true GI mode for a 150 cu.in. gun and also in harmonic mode for 90, 150 and 210 cu.in. guns.
In each case, the data is shown in black and the Gundalf modelled value is shown in red. Agreement with single gun values is excellent across each of the examples given in the brochure. Clustered examples in the brochure have not been modelled due to the lack of relevant information such as cluster separation. Periods are not shown as this information is also not provided.
Gun mode | peak - peak (bar-m) | Primary to bubble |
---|---|---|
Normal (airgun mode) | 4.9 (4.8) | 2.1 (2.4) |
Harmonic (G:I - 50:50) | 3.7 (3.7) | 8.6 (10.0) |
True GI (G:I - 30:70) | 2.9 (3.1) | 13.9 (14.2) |
Volume (cu.in.) | peak - peak (bar-m) | Primary to bubble |
---|---|---|
90 | 3.0 (3.1) | 7.3 (8.0) |
150 | 3.7 (3.7) | 8.6 (10.0) |
210 | 4.0 (4.2) | 9.8 (9.3) |
These high-quality data were supplied by Alain Regnault of CGG in May 2003. A range of single guns were used and the data are showed as zero - Peak amplitude, zero - Peak primary to bubble and bubble period for a range of guns from 45-250 cu.in.
Gun and data types | Modelled and recorded signature parameters |
---|---|
G Gun bubble periods | |
G Gun zero -> peak amplitude (bar-m.) | |
G Gun zero -> peak primary to bubble ratio |
These high-quality data were supplied by Sercel in 2015 and were acquired in 2013-14. A range of single guns were used and the data are showed as zero - Peak amplitude, zero - Peak primary to bubble and bubble period for a range of guns from 90-520 cu.in. Agreement is excellent across the full range of volumes. Calibration depths were in the range 3-15m for some gun types but only 6m data is shown. Calibration quality is similar across all calibration depths. The G-GunII is somewhat unusual in its significantly increased P2B for the larger volumes, so calibration errors were chosen to be centered in the middle of the range.
Gun and data type | Modelled and recorded signature parameters |
---|---|
G Gun II bubble periods | |
G Gun II zero -> peak amplitude (bar-m.) | |
G Gun II zero -> peak primary to bubble ratio |
McCauley et. al. (2017), (Nature Ecology and Evolution (1) 0195, p. 1-8 DOI 10.1038/s41559-017-0195), operate a single 150cuin. G-GunII deployed at 5.1m depth in a study of acoustic impact on zooplankton. They measure the output as 183dB SPL at a range of 509-658m and 178dB SPL at a range of 973-1,119m. These are identical to the figures produced by Gundalf.
These data were acquired by Mike Hall of Horizon in the late 1980s. They are high-quality data acquired in a measurement facility in Loch Linnhe in Scotland. A cluster of 2 identical 40 cu.in. sleeve guns was deployed at different separations 0.5m - 2.5m. and the zero - Peak amplitude, zero - Peak primary to bubble and bubble period for these separations.
Gun set up | Modelled and recorded signature parameters |
---|---|
2x40 cu.in. sleeve guns - bubble periods | |
2x40 cu.in. sleeve guns - zero - peak amplitude | |
2x40 cu.in. sleeve guns - zero - peak primary to bubble |
Clustering airguns into groups of 2, 3 or even 4 guns within a metre or so of each other followed directly from the observation that the primary to bubble ratio of a clustered pair of guns grew rapidly as gun separations reduced to a metre or less. This can be seen dramatically in the experiments shown in the previous section, carried out by Mike Hall and Ian Jack in the 1980s and published in Laws, Hatton and Haartsen, (1990) "Computer modelling of clustered airguns", First Break, (8), 9. As two small (40 cu.in.) sleeve guns are brought closer and closer, their primary to bubble ratio increases by a factor of about 2.5.
One other factor intrudes here. It can also be seen that the peak to peak diminishes somewhat. The behaviour of clusters of several guns was revisited in great detail by Sverre Strandenes and Svein Vaage in "Signatures from clustered airguns", (1992), First Break, (10), 8 in which they quantified these effects in a series of careful experiments performed in a specialist facility including high speed underwater cameras. Tbey noted that as more and more air is discharged in the immediate vicinity of an airgun, the ability of the airgun to vent its own air is significantly reduced.
This has become increasingly important today as many arrays rely heavily on interaction for their signature performance and it is necessary therefore that a modelling package handle throttling inhibition correctly. In version 5.1g onwards, Gundalf was adjusted to include this effect using a sophisticated physical model and calibrated from the experiments carried out by Mike Hall and Ian Jack described above from pairs of small sleeve guns. When this was applied to a completely separate array involving a very much larger array of 20 Bolt 8500 APG airguns with total volume 2000 cu.in. in an exceptionally highly interacting configuration measured in a different facility nearly 20 years later, excellent agreement with the measurement was achieved as can be seen below.
This greatly increases the confidence in the physics of the modelling of this effect.
These data were supplied by Mike Saunders of Bolt in December 2003. They are high-quality data recorded at a specialist facility. The Gundalf model and recorded far-field signature for a 20 Bolt 8500 APG array of 2000 cu.in. are shown.
(* Simulated - original field filter not available.)
Array type | Modelled and recorded signatures |
---|---|
20x8500 LL (APG), 2000 cu.in., 5m |
In recent years, environmental concerns over the potential impact of airgun acoustic radiation on marine life has become an important issue. One possible area of impact is in the high-frequency output of an airgun array.
Some species, notably odontoceti use kHz bands (somewhere in the region 10-150kHz) for purposes such as echo-location. Until relatively recently, there was no measurement data available for airguns at these high frequencies and no real information available as to their output.
These data were kindly made available by the IFRC. They were recorded in the Gulf of Mexico in 2003 and are the first significant dataset out to 40kHz which has been recorded. The peak sensitivity of odontoceti occurs at around 20kHz, so this dataset is particularly important in that it covers this potentially high-impact area, (sensitivity above about 30kHz rapidly decays in these species).
It should be noted that it is very unlikely that kHz frequencies will ever be modelled very accurately as the oscillating bubble is known to be highly anisotropic at these frequencies due to the excessive turbulence and so it is likely that the best that can be achieved will be an idea of the overall background level. This is perfectly adequate at the current level of understanding of the impact of such frequencies on marine life. This has recently been confirmed in the Bolt e500/e300 data referred to in this calibration document which give excellent near-field recordings out to 25kHz.
As can be seen below, the Gundalf model gives an excellent representation of the overall background level and is within +/- 10db even though there remain uncertainties in exact positioning and the local bathymetric propagation properties. (In the absence of any other information, Gundalf here assumes lossless isotropic propagation). For exactitude, the Gundalf model is labelled as filtered simply because any numerical modelling algorithm has a filtering effect. No additional filtering other than that implicit to any finite difference model has been applied. The recorded data is unfiltered other than anti-alias filtering.
Recorded Data | |
Gundalf model |
An important new source aimed at the elusive sub-8Hz part of the source spectrum. Such low frequencies illuminate difficult deep or acoustically hidden targets such as beneath salt domes rather better. It is claimed that these are also more environmentally friendly but this remains to be proven as baleen whales particularly have low-frequency sensitivity but nobody is sure how low this actually goes. It is thought to be 7Hz or perhaps even lower.
These data originate from the technical paper by Chelminski et. al. (2021), SEG annual meeting.
Recording | Gundalf model |
---|---|
213dB max at 2.8Hz | 213dB max at 2.9Hz |
Array type | Modelled signature |
---|---|
26500 TPS, 1000 cu.in., 10m |
An important new source aimed at the elusive sub-8Hz part of the source spectrum. Such low frequencies illuminate difficult deep or acoustically hidden targets such as beneath salt domes rather better. It is claimed that these are also more environmentally friendly but this remains to be proven as baleen whales particularly have low-frequency sensitivity but nobody is sure how low this actually goes. It is thought to be 7Hz or perhaps even lower.
These data originate from a datasheet by ION.
Recording | Gundalf model |
---|---|
209dB max at 3.4Hz | 209dB max at 3.9Hz |
Array type | Modelled signature |
---|---|
4000 Gemini, 2000 cu.in., 8m |
Recording | Gundalf model |
---|---|
214dB max at 4.3Hz | 212dB max at 3.4Hz |
Array type | Modelled signature |
---|---|
2x4000 Gemini, 2000 cu.in., 8m |