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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-11-1725-2018</article-id><title-group><article-title>Flow rate and source reservoir identification from airborne chemical
sampling of the uncontrolled Elgin platform gas release</article-title><alt-title>Flow rate and source reservoir identification</alt-title>
      </title-group><?xmltex \runningauthor{J. D. Lee et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lee</surname><given-names>James D.</given-names></name>
          <email>james.lee@york.ac.uk</email>
        <ext-link>https://orcid.org/0000-0001-5397-2872</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Mobbs</surname><given-names>Stephen D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3872-9422</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wellpott</surname><given-names>Axel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Allen</surname><given-names>Grant</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7070-3620</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Bauguitte</surname><given-names>Stephane J.-B.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Burton</surname><given-names>Ralph R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Camilli</surname><given-names>Richard</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Coe</surname><given-names>Hugh</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Fisher</surname><given-names>Rebecca E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9262-5467</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6 aff7">
          <name><surname>France</surname><given-names>James L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8785-1240</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Gallagher</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4968-6088</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hopkins</surname><given-names>James R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0447-2633</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lanoiselle</surname><given-names>Mathias</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lewis</surname><given-names>Alastair C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lowry</surname><given-names>David</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8535-0346</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Nisbet</surname><given-names>Euan G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Purvis</surname><given-names>Ruth M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3375-3765</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>O'Shea</surname><given-names>Sebastian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0489-1723</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Pyle</surname><given-names>John A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Ryerson</surname><given-names>Thomas B.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>National Centre for Atmospheric Science, University of York, York,
UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Centre for Atmospheric Science, University of Leeds, Leeds,
UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Facility for Airborne Atmospheric Measurements, Cranfield University,
Bedford, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Earth, Atmospheric and Environmental Sciences, University
of Manchester, Manchester, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Applied Ocean Physics and Engineering, Woods Hole
Oceanographic Institution, Woods Hole, MA, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Earth Sciences, Royal Holloway University of London,
Egham, TW20 0EX, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>School of Environmental Sciences, University of East Anglia, Norwich,
UK</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>National Centre for Atmospheric Science, Department of Chemistry,
University of Cambridge, Cambridge, UK</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Chemical Sciences Division, Earth System Research Laboratory, NOAA,
Boulder, CO, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">James D. Lee (james.lee@york.ac.uk)</corresp></author-notes><pub-date><day>27</day><month>March</month><year>2018</year></pub-date>
      
      <volume>11</volume>
      <issue>3</issue>
      <fpage>1725</fpage><lpage>1739</lpage>
      <history>
        <date date-type="received"><day>11</day><month>September</month><year>2017</year></date>
           <date date-type="rev-request"><day>12</day><month>October</month><year>2017</year></date>
           <date date-type="rev-recd"><day>23</day><month>February</month><year>2018</year></date>
           <date date-type="accepted"><day>3</day><month>March</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018.html">This article is available from https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018.pdf</self-uri>
      <abstract>
    <p id="d1e309">An uncontrolled gas leak from 25 March to 16 May 2012 led to
evacuation of the Total Elgin wellhead and neighbouring drilling and production
platforms in the UK North Sea. Initially the atmospheric flow rate of
leaking gas and condensate was very poorly known, hampering environmental
assessment and well control efforts. Six flights by the UK FAAM
chemically instrumented BAe-146 research aircraft were used to quantify the
flow rate. The flow rate was calculated by assuming the plume may be
modelled by a Gaussian distribution with two different solution methods:
Gaussian fitting in the vertical and fitting with a fully mixed layer. When
both solution methods were used they compared within 6 % of each other,
which was within combined errors. Data from the first flight on 30 March
2012 showed the flow rate to be 1.3 <inline-formula><mml:math id="M1" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 kg CH<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> s<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
decreasing to less than half that by the second flight on 17 April 2012.
<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the gas was found to be <inline-formula><mml:math id="M5" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>43 ‰, implying that the gas source was unlikely to be from
the main high pressure, high temperature Elgin gas field at 5.5 km depth, but
more probably from the overlying Hod Formation at 4.2 km depth. This was
deemed to be smaller and more manageable than the high pressure Elgin field
and hence the response strategy was considerably simpler. The first flight
was conducted within 5 days of the blowout and allowed a flow rate estimate
within 48 h of sampling, with <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> characterization
soon thereafter, demonstrating the potential for a rapid-response capability
that is widely applicable to future atmospheric emissions of environmental
concern. Knowledge of the Elgin flow rate helped inform subsequent decision
making. This study shows that leak assessment using appropriately designed
airborne plume sampling strategies is well suited for circumstances where
direct access is difficult or potentially dangerous. Measurements such as
this also permit unbiased regulatory assessment of potential impact,
independent of the emitting party, on timescales that can inform industry
decision makers and assist rapid-response planning by government.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e395">Elgin is a high pressure and high temperature methane and condensate field in
the Central Graben of the UK North Sea, about 240 km east of Aberdeen, set
in 93 m of water (Isaksen, 2004; see Fig. 1). On 25 March 2012, an
accidental and<?pagebreak page1726?> uncontrolled hydrocarbon release occurred at the <italic>22/30c</italic>-G4 well,
which penetrates the Elgin reservoir at a depth of approximately 5.5 km.
This led to the abandonment of the Elgin platform and evacuation of
non-essential personnel from nearby facilities. Actions taken in response to
this incident shut down or affected nearly 10 % of the UK natural gas
supply for 6–7 weeks. The well was eventually capped on 16 May 2012.</p>
      <p id="d1e401">The Elgin gas well was known to produce both natural gas (mainly methane)
and natural gas condensate (Fort and Senequier, 2003). The presence of
condensate and gas led to additional concerns regarding a potential fuel and air
explosion. The resulting abandoning of the platform meant that
quantification of the gas emission was challenging. The H<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>S
concentrations in the main field (<inline-formula><mml:math id="M8" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 45 ppm) are close to what
is generally considered safe exposure limits (US, 2009), so conventional
response assessment operations would require additional human health and
safety precautions. As a result, remote methods were sought and an aerial
survey, due to the fact that it would limit the duration and concentration
of human exposure to the plume, was deemed appropriate. In response, within
five days of abandoning the platform, the Natural Environment Research
Council/UK Met Office Facility for Airborne Atmospheric Measurements
(FAAM) deployed its chemically instrumented BAe-146 research aircraft to
measure the gas plume from the release and to take whole-air samples of the
air for subsequent laboratory characterization. The aircraft was equipped
with a range of instruments including continuous methane measurement by
cavity-enhanced absorption spectroscopy (Fast Greenhouse Gas Analyzer, Los
Gatos Research Inc). Whole air grab sampling was carried out by two
independent systems: the aircraft's inbuilt stainless steel flasks sampling
facility and also manually into 3l Tedlar bags. Data from six flights from
30 March to 15 August 2012 are available and presented below.
The aircraft data were used to successfully characterize the leaking gas
(flow rate and composition), allowing a plan for remedial action at the wellhead to be implemented. This paper presents the analysis of these data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e422">Map showing the location and details of the Elgin field and
platform. Panel <bold>(a)</bold> shows the location of the field in the North Sea,
with the red rectangle shown on panel <bold>(b)</bold>. The black dot indicates the
location of the Elgin platform with the grey dots showing the location of
neighbouring platforms.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>Experimental</title>
<sec id="Ch1.S2.SS1">
  <title>Instrumented research aircraft</title>
      <p id="d1e448">The FAAM aircraft manages a modified BAe-146-300 aircraft which carries core
and optional instruments for measuring various components of the atmosphere.
Core instruments cover a range of basic atmospheric measurements including
thermodynamic properties, wind, turbulence, and some chemical species. These
are provided by FAAM as part of the facility. Details of most FAAM
instruments can be found on the FAAM web-site: <uri>http://www.faam.ac.uk</uri> (last access: 22 March 2018). Wind
and turbulence are measured using a five-port pressure measurement system in
the aircraft radome, combined with two scientific static ports located
symmetrically on either side of the aircraft. Wind and thermodynamic
profiles from the aircraft down to the surface are also provided by
dropsondes which can be released and tracked periodically in flight. Of
greatest relevance to the work reported here are the systems for fast
methane measurement and for obtaining air samples for laboratory analysis;
these are described below.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Atmospheric measurements</title>
      <p id="d1e460">CO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and CH<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> were measured in situ on the aircraft using a modified
Los Gatos Research Inc. Off-Axis Integrated Cavity Output Fast Greenhouse
Gas Analyser (FGGA model RMT-200). This was calibrated in-flight against gas
standards certified by the Max-Planck Institute for Biogeochemistry (Jena)
as part of the Infrastructure for Measurements of the European Carbon Cycle
project (EU 13 IMECC; see <uri>http://imecc.ipsl.jussieu.fr/</uri>, last access: 22 March 2018). The stability of
these standards was also cross-checked against Royal Holloway laboratory
standards. All reported CH<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio data are traceable to the
National Oceanographic and Atmospheric Administration NOAA-04 scale
(Dlugokencky et al., 2005). A technical summary of the FGGA deployed
on-board the FAAM aircraft, the calibration system, data analysis and
quality control methods developed by the University of Manchester and FAAM
is presented elsewhere (O'Shea et al., 2013), illustrating the airborne
performance of the system, chiefly a measurement accuracy of <inline-formula><mml:math id="M12" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1.28 ppb
with a 1<inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> precision at 1 Hz of 2.48 ppb for CH<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e517">Ambient air was sampled using both the automated whole air sampling (WAS)
system fitted to the aircraft and manually into Tedlar bags for post-flight
laboratory analysis. The WAS system consists of sixty-four silica passivated
stainless steel canisters of 3 L internal volume (Thames<?pagebreak page1727?> Restek,
Saunderton UK) fitted in packs of 8, 9, and 15 canisters to the rear lower
cargo hold of the aircraft. Each pack of canisters was connected to a <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>
inch outside diameter stainless steel sample line, in turn connected to an
all-stainless steel assembly double-headed three phase 400 Hz metal bellows
pump (Senior Aerospace, USA). The pump drew air from the port-side ram air
sample pipe and pressurized air into individual canisters to a maximum
pressure of 3.25 bar, giving a useable sample volume for analysis of up to 9 L. WAS canisters take approximately 20 s to fill at typical
boundary layer pressures, thus they provide an averaged measure of
hydrocarbon content. At a typical aircraft science speed of around 100 m s<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, a WAS sample is therefore an average mixing ratio over a spatial
extent of <inline-formula><mml:math id="M17" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 km. The length of sampling manifold within the
aircraft creates a delay of around 10 s between air entering the inlet
at the front of the aircraft and being available for capture in the hold.
This slight delay allowed the real-time CH<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> outputs from the FGGA to be
used to aid the capture plume samples with canisters. The integrated nature
of the WAS means that the concentrations reported do not represent peak
plume concentrations, however these can be inferred assuming a constant
relationship to CH<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. The manual Tedlar bag sampling system employed a
Metal Bellows pump (model MB-158) and was more direct, with a few seconds
lag time and rapid bag filling (<inline-formula><mml:math id="M20" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 s).</p>
      <p id="d1e577">Air samples were analysed for volatile organic compounds (VOCs) within 48 h of collection at the University of York using a dual channel gas
chromatograph with two flame ionization detectors (Hopkins et al., 2011).
1 L samples of air were withdrawn from the sample canisters and dried
using a glass condensation finger held at <inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. C<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>
samples were pre-concentrated onto a multi-bed carbon adsorbent trap,
consisting of Carboxen 1000 and Carbotrap B (Supelco), held at
<inline-formula><mml:math id="M25" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and then heated to 325 <inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C at 16 <inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C s<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and transferred to the GC columns in a stream of helium. The eluent
was split in an approximately 50 : 50 ratio between an aluminium oxide
(Al<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NaSO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> deactivated) porous layer open tubular PLOT
column (50 m, 0.53 <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m id) for analysis of NMHCs and two LOWOX columns (10 m,
0.53 um id) in series for analysis of polar VOCs. Both columns were supplied
by Varian, Netherlands. Peak identification and calibration was made by
reference to a part per billion level certified gas standard (National
Physical Laboratory, ozone precursors mixture, cylinder number: D64 1613)
for NMHCs. This standard and instrument has in turn been evaluated as part
of the WMO GAW programme and was within target operating limits.</p>
      <p id="d1e696">Methane isotopic composition (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was measured at
Royal Holloway, University of London (RHUL) in samples collected in WAS
canisters during flights on 30 March and 3 April and in Tedlar
bag samples collected manually on the 3 April flight. Prior to isotopic
analysis, the methane mixing ratio in the samples was measured using a
Picarro 1301 cavity ring-down spectrometer, calibrated using NOAA air
standards. Repeatability in CH<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio measurements was <inline-formula><mml:math id="M36" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.3 ppb. <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was analysed using a modified gas
chromatography isotope ratio mass spectrometry (GC-IRMS) system. The
methodology is described in detail by (Fisher et al., 2006). <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> repeatability was
<inline-formula><mml:math id="M39" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.05 ‰. All isotope measurements were made in
triplicate. Isotope ratios are given in <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> notation on the VPDB
(Vienna Pee Dee Belemnite) scale. Keeling plot methodology is described by
(Pataki et al., 2003) and (Fisher et al., 2017).</p>
      <p id="d1e793">The FAAM aircraft is equipped with a system to drop radiosondes (VAISALA,
Finland). The sondes (RD94) descend on a parachute with a speed of
<inline-formula><mml:math id="M41" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 m s<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and measure air pressure, air temperature,
relative humidity, and GPS position on their way to the surface. Wind speed
and wind direction are calculated from the GPS measurements and the known
drag of the dropsonde (Wang, 2005). Data can be received and viewed in real
time on the aircraft.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Flight planning and safety case</title>
      <p id="d1e821">The location of the gas source relative to the sea surface and the mass flux
of the emission were initially not well known. A prospective analysis of the
gas plume was obtained using HYSPLIT model simulations (Stein et al., 2015),
carried out using meteorological fields from the US National Centre for
Environmental Prediction Global Forecast System (NCEP-GFS;
<uri>https://ready.arl.noaa.gov/HYSPLIT.php</uri>, last access: 22 March 2018),
obtained via the Air
Resources Laboratory of the National Oceanic and Atmospheric Administration.
NCEP GFS data are high resolution (0.5<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and longitude and 3 h temporally). Figure 2 shows the modelled CH<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentration from
0–1000 m above sea level, for 12:00 UTC on 2 April 2012. The modelled start
of release was 00:00 UTC and the modelled release rate was 23.5 kg s<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
The model outputs were used for flight planning and to provide a safety case
for the flights. Given the explosion risk, and because hydrogen sulfide
(H<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>S) in the Elgin reservoir was reported to be <inline-formula><mml:math id="M47" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 45 ppm
(Fort and Senequier, 2003), close to the safe human exposure limit, a risk
reduction analysis was carried out prior to the first BAe-146 research
flight to specify the “turn away” concentrations based on real-time
measurements on-board the aircraft using hand held sensors. The flights did
not enter a 3 nautical mile radius, 4000 ft altitude exclusion zone imposed
by the UK Maritime and Coastguard Agency at the time of the emergency.
Outside of this excluded volume, a “turn away” detection value of 40 ppm
CH<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> was established, which was 20<inline-formula><mml:math id="M49" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> the background concentration,
10<inline-formula><mml:math id="M50" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> higher than the forecast of CH<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> likely to be present (given an
unrealistically high leak rate of 23.5 kg s<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> set in the model) and 100<inline-formula><mml:math id="M53" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> below any possibly dangerously combustible concentration of the worst
case gas mixture.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e928">Example of a prospective HYSPLIT model of the CH<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> plume at 12:00 UTC, 2 April 2012. This assumed that the release rate was 23.5 kg s<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for the previous three days (see text for details).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f02.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page1728?><sec id="Ch1.S3">
  <title>Flow rate calculation</title>
      <p id="d1e967">The plume of CH<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and other gases was assumed to be neutrally buoyant
and non-reacting (on the time and distance scales involved in the aircraft
measurements). The fundamental assumption is that the plume dispersion may
be modelled by a Gaussian distribution. With the source at the surface, (<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>0) (see, e.g., Eq. 2.1 from Turner,
1994),

              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M58" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>C</mml:mi><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>q</mml:mi><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi>U</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mi>y</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M59" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is the source strength (mass emission rate) of the methane leak,
<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the molar concentration which varies in the <inline-formula><mml:math id="M61" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> (downwind), <inline-formula><mml:math id="M62" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> (crosswind)
and <inline-formula><mml:math id="M63" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> (vertical) directions and <inline-formula><mml:math id="M64" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> is the mean prevailing wind speed. The
<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> terms are the mean
squared distances of the plume spread in the crosswind and vertical
directions (both growing by dispersion with downwind distance). In
land-based dispersion modelling, it is common to employ an approximation to
the dispersion parameters <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. (Examples may
be found in Turner, 1994). These approximations (derived from many field
experiments) are based upon the atmospheric stability and distance from
source. Some attempts (e.g. Song et al., 2003) have been made to find similar
approximations over sea surfaces; such attempts are not the result of field
experiments, but rather of a manipulation of land-based formulae, and there
is a question as to their validity. Thus, in the present study, we derive
the dispersion parameters from the aircraft measurements, as described
below.</p>
      <p id="d1e1192">The source is fixed at <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Note that this form of the equation includes
reflection from the surface. The reason for not taking the centre-line of
the plume to necessarily be at <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> is that during cross-plume aircraft
flights, the crosswind position, <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of the plume was determined
directly from the measurements for each pass. The assumptions (and
rationale) underlying Eq. (1) are as follows:
<list list-type="order"><list-item><p id="d1e1231">The mean prevailing wind velocity does not exhibit strong shear in the
vertical or significant variability over the course of the sampling. This
includes both changes in speed <inline-formula><mml:math id="M72" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> and direction and was confirmed by measured
wind data.</p></list-item><list-item><p id="d1e1241">The height above the sea surface of the source may be neglected. Although
relatively straightforward to include, other uncertainties in the
calculations of the flow rate make this parameter negligible.</p></list-item><list-item><p id="d1e1244">Similarly, any effect on the turbulent vertical mixing of structural
down-wash from the rig structure is not detectable (i.e. the plume is seen
to be well-mixed in downwind sampling).</p></list-item><list-item><p id="d1e1247">There is negligible vertical restriction of dispersion by capping
inversions or the boundary layer top (as the plume was not observed to rise
to the local MBL top at the point of aircraft sampling).</p></list-item></list>
Assumption (4) is clearly not always valid. It is relatively
straightforward, from a theoretical point of view, to account for a
restricted mixing height <inline-formula><mml:math id="M73" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>:

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M74" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>C</mml:mi><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>q</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi>U</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mi>y</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced open="[" close=""><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mi>z</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>H</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mfenced open="." close="]"><mml:mo>+</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mi>z</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>H</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          However, fitting of Eq. (2) to experimental data with large uncertainties is
not feasible. Mathematically, fitting is relatively straightforward but in
practice it is not possible to distinguish reliably between the effect of an
elevated inversion and a general reduction in vertical spreading <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1452">Far downwind, in the presence of an elevated inversion which strongly
inhibits mixing above height <inline-formula><mml:math id="M76" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>, the pollutant is thoroughly mixed below the
inversion and further mixing results only in horizontal spreading. Then a
much simpler Gaussian plume model may be used (Ryerson et al., 2011):

              <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M77" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>C</mml:mi><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>q</mml:mi><mml:mrow><mml:msqrt><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:msqrt><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mi>U</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">exp</mml:mi><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mi>y</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

        Based on the above theoretical considerations, a sampling strategy was used
which follows closely that used during the 2010 <italic>Deepwater Horizon</italic> spill in the Gulf of Mexico(Ryerson et al., 2011). The basis of the method is to
sample the crosswind structure of the plume using repeated aircraft passes
across the plume downwind of the source. The<?pagebreak page1729?> repeated cross-plume sampling
aims to determine the crosswind structure (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
peak concentration, and to determine how these parameters vary in the
vertical and in the downwind direction. Sampling across the plume was
carried out at different altitudes within the marine boundary layer to
assess the vertical dispersion of the plume, which is required by both
analysis methods which we now describe. Two different analysis approaches
have been used, determined by the outcome of these measurements. They are
referred to as Solution Method 1 and Solution Method 2 in this paper.
Both solution methods reflect the assumption that the concentration
distribution is assumed to be of a Gaussian form. However, the techniques of
solution are different and are here split into separate sections.</p>
<sec id="Ch1.S3.SS1">
  <title>Solution method 1: Gaussian fitting in the vertical</title>
      <p id="d1e1566">Method 1 is appropriate when there exists no significant temperature
inversions at levels where <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This requires that
measurements are made up to a height of at least <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and that no
inversions are encountered up to that level. If an inversion layer does
exist, then method 1 may still be used if the measured value of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is such that <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>≪</mml:mo><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M84" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the
mixing layer height.</p>
      <p id="d1e1628">When writing Eq. (1) as follows:

                <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M85" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>C</mml:mi><mml:mfenced open="(" close=")"><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>C</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mi>y</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where

                <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M86" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>C</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></disp-formula>

          and

                <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M87" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>q</mml:mi><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi>U</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          then <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> may be obtained from fitting cross-plume
data at fixed distance downwind to Eq. (6). Then writing Eq. (5) in the
following form:

                <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M90" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>C</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mfenced><mml:mo>=</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be obtained by plotting <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> against
<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> using data from all transect levels at a fixed downwind distance.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Solution method 2: Fully mixed layer</title>
      <p id="d1e1921">This approach is appropriate when the airborne measurements fully define the
vertical extent of plume mixing (e.g., Conley et al., 2016), or the plume
is mixed thoroughly in the vertical up to a capping inversion (e.g.,
Ryerson et al., 2012), such that there exists a clear temperature inversion and elevated stable layer in
atmospheric profiles revealed using aircraft measured thermodynamic
profiles, dropsondes or radiosondes, and crosswind transects show little decrease of concentration with height
(within the uncertainties), up to the inversion level.</p>
      <p id="d1e1924">Assuming conditions are suitable for method 2, then writing Eq. (3) as
follows:

                <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M95" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>C</mml:mi><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mi>y</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where

                <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M96" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>q</mml:mi><mml:mrow><mml:msqrt><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:msqrt><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mi>U</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Best fitting of the concentration measurements to Eq. (8) is used to
determine <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and then the leak rate
<inline-formula><mml:math id="M100" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is determined from Eq. (9), using estimates of the inversion height <inline-formula><mml:math id="M101" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> from
the atmospheric soundings. Note that the <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> here is different to the
<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for Solution method 1.</p>
      <p id="d1e2104">Either of these methods allow for calculation of the mean emission flow rate
in a relatively short time period after measurements are taken (potentially
within 24 h). This makes airborne sampling useful for emergencies where
fast quantification of flow rate can be critical for informed decision
making.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e2109">Flight tracks for <bold>(a)</bold> B688 – 30 March 2012; <bold>(b)</bold> B689 –
3 April 2012; <bold>(c)</bold> B690 – 17 April 2012; <bold>(d)</bold> B691 – 24
April 2012; <bold>(e)</bold> B693 – 4 May 2012; <bold>(f)</bold> B727 – 15 August
2012. The different platforms in the area (Elgin, Shearwater, Franklin, Judy
and Jasmine) are shown by the different colour circles.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
      <p id="d1e2144">Flights to sample the plume emanating from the Elgin platform were carried
out on 30 March, 3 April, 17 April, 24 April,
4 May, and 15 August 2012. Figure 3 shows flight tracks for all
the flights, with local wind direction (as measured from the aircraft)
indicated as a wind barb. The tracks show the position of the Elgin
platform, along with others in the immediate area, and the legs sampling the
plume at different distances from the source.</p>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{CH${}_{{4}}$ leak rate}?><title>CH<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> leak rate</title>
      <p id="d1e2162">Measurements of CH<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> were taken at different heights above sea level and
different distances from the platform on each of the flights. Figure 4 shows
CH<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios taken on each flight, plotted as a function of
distance along the flight track perpendicular to the plume for all flights
at 5 and 15 NM from the <italic>Elgin</italic> platform. To aid the analysis, profiles of
potential temperature and wind speed and direction from dropsonde data taken
early and late in the flights (where available) are shown in Fig. 5.
Thermodynamic profiles measured by on-board instrumentation during plume
sampling were found to be consistent with the dropsonde data.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e2188">CH<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> measurements taken downwind of the Elgin rig during five
flights. Panels <bold>(a)</bold> show data taken at 5 NM and panels <bold>(b)</bold> data
for 15 and 20 NM. Different colours show data for different runs. Runs at 15 NM downwind are denoted with an “<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>”.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f04.png"/>

        </fig>

<sec id="Ch1.S4.SS1.SSS1">
  <title>Flight B688 – 30 March</title>
      <?pagebreak page1731?><p id="d1e2226">Initially two passes were made across the line of the expected plume
around 10 NM upwind of the Elgin rig. These provided background methane
concentrations. The aircraft was then repositioned downwind of the rig and
repeated passes were made across the plume at two distances (approximately 5 and 15 NM) from the rig, with mean wind speeds in the range 12–20 ms<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(measured from the aircraft). Measured methane concentrations
across the plume at approximately 5 NM downwind show a very clearly defined
plume with a peak of around 1000 ppb above background at a measurement height
of 35 m, whilst at 15 NM the plume has become more broken and indeed for one
of the passes it appears to have split into two separate plumes. At both
distances from the rig, the plume peak concentration decreases with height.
The decrease is evidence for the plume not being fully mixed up to an
inversion level. For this flight, which was made with a short preparation
period, no dropsonde was launched. We do however have a profile
available from a radiosonde launched at the time of the flight from the nearby Ekofisk
rig. Data from this is shown in the SOM (Fig. S1a in the Supplement). There is clear
evidence of a temperature inversion at around 750 m. However, the fitted
plume parameters suggest that mixing had not occurred up to this level, even
at 15 nm downwind. Therefore method 1
has been used for flow rate estimation (all flow rates results will be
discussed at the end of this section). CH<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> flow rates of 1.10 <inline-formula><mml:math id="M111" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.55 and 1.06 <inline-formula><mml:math id="M112" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.49 kg s<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were calculated using this
method for the 5 and 15 NM passes respectively.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <title>Flight B689 – 3 April</title>
      <p id="d1e2283">Initially two passes were made across the line of the expected plume
around 5 NM upwind of the Elgin rig, which provided background methane
concentrations. The aircraft was then repositioned downwind of the rig and
repeated passes were made across the plume at two distances (approximately 5 and 15 NM), with mean wind speeds of <inline-formula><mml:math id="M114" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 ms<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
throughout. There is evidence again for a decay of peak CH<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
concentration with height at 5 NM downwind, consistent with the methane
having not mixed through the full depth of the boundary layer. Potential
temperature profiles from dropsondes launched at the start and end of the
measurement part of the flight are shown in Fig. 5. These show good
evidence of a stable layer and inversion just above 1 km altitude early in the
flight, with essentially neutrally stratified conditions present below this.
These conditions persisted throughout the flight, although the later
dropsonde profile shows that the stable layer above became weaker with time,
likely associated with marine boundary layer heating throughout the day. The
consistent decrease in plume concentration with height, coupled with the
fact that the measurements were all made well below the inversion layer,
suggests that the method 1 can be
used for flow rate calculation. At 15 NM downwind, satisfactory Gaussian fits
to the data are possible in all cases. However, there is little evidence of a
decay of concentration with height. This lack of consistent decay, plus the
clear existence of an inversion layer at just above 1 km, suggests that the
assumption of mixing up to the inversion height may be made here. Method 2
was therefore also used to calculate the methane flow rate from data at 15 and 25 nm from the rig, using a mixing height of 1.13 <inline-formula><mml:math id="M117" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 km. The
calculated flow rate was 0.55 <inline-formula><mml:math id="M118" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.71 kg s<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> using method 1 and
0.59 <inline-formula><mml:math id="M120" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21 and 0.58 <inline-formula><mml:math id="M121" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07 kg s<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> using method 2
(at 5 and 15 NM from the source respectively), demonstrating good
agreement (within 5 %) of the methods.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <title>Flight B690 – 17 April</title>
      <p id="d1e2373">Initially three passes were made across the line of the expected plume at
around 5 NM upwind of the Elgin rig, which provided background methane
concentrations. The aircraft was then repositioned downwind of the rig and
repeated passes were made across the plume at two distances (approximately 5 and 20 NM), with mean wind speeds <inline-formula><mml:math id="M123" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 ms<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
throughout. The observed decay of peak concentration with height at both
downwind distances is again consistent with the methane having not mixed to
the top of the boundary layer. Potential temperature profiles from
dropsondes (Fig. 5) launched at the start and end of the measurement part
of the flight show that the atmosphere appears to be stable at all levels
above a very shallow (&lt; 200 m) mixed layer close to the surface. The
rather uniform stability, coupled with the decay of concentration with
height, supports the use of method 1. The flow rate was calculated to be 0.24 <inline-formula><mml:math id="M125" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10 and 0.45 <inline-formula><mml:math id="M126" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.31 kg s<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the 5 and 20 NM
passes,
respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e2423">Profiles of potential temperature <bold>(a)</bold> and wind speed
(solid lines) and direction (dashed lines; <bold>b</bold>) from dropsonde data
early (blue) and late (green) in the flight for B689, B690, B691, and B693.</p></caption>
            <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS1.SSS4">
  <title>Flight B691 – 24 April</title>
      <p id="d1e2444">Initially a pass was made across the line of the expected plume at
approximately 5 NM upwind of the Elgin rig. This provided background methane
concentrations. The aircraft was then repositioned downwind of the rig and
repeated passes were made across the plume at two distances (approximately 5 and 20 NM) from the rig, with mean wind speeds 2–4 ms<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
throughout. The potential temperature profiles from dropsondes launched at
the start and end of the measurement part of the flight (Fig. 5) show a
generally stable atmosphere with some tendency to become mixed over the
lowest 400 m later in the flight. There is no evidence of significant
elevated inversions. At 5 NM downwind, there is insufficient data for
confident conclusions to be drawn, particularly because even though there is
little evidence of variation of concentration with height, there is no clear
mixing height. There is evidence for a decay of peak concentration with
height at 20 NM downwind, suggesting that method 1 may be applied here. However, the plume transects at 5 NM show
a ragged and broken plume and at 20 NM the plume is not well defined at all,
behaviour that can be attributed to the very low wind speeds. Most of the
transects have produced fitted Gaussian cross sections but these cannot be
considered to be of high reliability. So although the results at 20 NM have
produced a methane flow rate using the Gaussian fitting in the vertical
(method 1), there is considerable uncertainty,<?pagebreak page1732?> due to the light winds,
regarding whether all of the methane plume filaments have been reliably
detected and therefore reliability of the overall flow rate result must be
suspect. The flow rate was calculated to be 0.06 <inline-formula><mml:math id="M129" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.29 kg s<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
although the principal conclusion from this flight is that stronger winds
(&gt; <inline-formula><mml:math id="M131" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 ms<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are necessary in order to
reliably measure the flow rate.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS5">
  <title>Flight B693 – 4 May</title>
      <p id="d1e2506">Once again, two passes were initially made across the line of the expected
plume at around 5 NM upwind of the Elgin rig to provide the background
methane concentrations. The aircraft was then repositioned downwind of the
rig and repeated passes were made across the plume at two distances
(approximately 5 and 20 NM) from the rig. At the lowest height (45 m) the
CH<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> plume is observed to peak at <inline-formula><mml:math id="M134" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 ppb above
background. There is evidence for a decay of peak concentration with height
at both downwind distances, consistent with the methane having not mixed
through the boundary layer. The potential temperature profiles from
dropsondes launched at the start and end of the measurement part of the
flight (Fig. 5) show atmosphere to be generally stable at all levels above
a shallow (&lt; 300 m) mixed layer close to the surface. There is
evidence of a significant inversion above 2 km at the start of the flight
but no inversion at lower levels. The data show that the methane has
definitely not mixed up to 2 km. The rather uniform stability at lower
levels, coupled with the decay of concentration with height, supports the
use of method 1 for calculating the
methane flow rate. A flow rate of 0.31 <inline-formula><mml:math id="M135" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.32 kg s<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was
calculated for this flight.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS6">
  <title>Flight B727 – 15 August</title>
      <p id="d1e2550">The objectives of this flight were to confirm that the methane leak from
Elgin had been effectively capped and to gain further information
concerning background sources of trace gases from oil and gas installations,
in order to assist with interpretation of previous (and potential future)
research flights. In support of these two aims, flight legs were made across
the expected line of any plume from the Elgin rig, as in previous flights
(these were made closer to Elgin than in previous flights as the air
exclusion zone previously operating within 3 NM of the rig had been lifted).
The primary result from this flight was that there was no detectable methane
plume from the Elgin rig. The FGGA instrument is<?pagebreak page1733?> capable of resolving
concentration gradients to within 2 ppb (O'Shea et al., 2013) and
therefore able to discriminate emitted plumes from background variability
for similar enhancements in principle. The characterization of a limit of
detection for any plume is case study specific as any observed enhancement
must always be compared with the observed background variability, and also
take into account the limitations of sampling. In the case of flight B727,
we cannot make this distinction within the precision of the FGGA instrument
and therefore conclude that a plume was not sampled during this flight. The
potential temperature from a single dropsonde launched from close to the
Elgin rig during this flight is shown in the SOM (Fig. S1b). The profile
is quite unlike that observed in previous sampling, with a shallow
well-mixed layer up to approximately 200 m, above which was a stable layer
up to approximately 500 m. This would indicate the potential for pollutant
capping below 200 m. Above 500 m the atmosphere was again well mixed.
Transects were made below 200 m, between 200 and 500 m and above 500 m. In
no case was an elevated methane signal above the background detected, in
contrast to all previous flights. The FGGA instrument is capable of
resolving concentration gradients to within 2 ppb (O'Shea et al., 2013),
and therefore able to discriminate emitted plumes from background
variability for similar enhancements in principle. The characterization of a
limit of detection for any plume is case study specific as any observed
enhancement must always be compared with the observed background
variability, and also take into account the limitations of sampling. In the
case of flight B727, we cannot make this distinction within the precision of
the FGGA instrument and therefore conclude that a plume was not sampled
during this flight.</p>
      <p id="d1e2553">The methane flow rates calculated from the plume measurements and analysis
from flights B688, B689, B690, B691 and B693 are summarized in Fig. 6.
Error bars have been deduced from the analysis detailed in the Supplement. The results indicate the following:
<list list-type="custom"><list-item><label>a.</label><p id="d1e2557">There was a significant decrease in methane flow rate between 30
March and 17 April 2012, dropping from 1.08 to 0.35 kg s<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. It
worth noting that the means for the 30 March flights are outside the
error bars for the 17 April flights, adding weight to the argument
that the flow rate has decreased.</p></list-item><list-item><label>b.</label><p id="d1e2572">There was no further detectable decrease in flow rate up to and
including 4 May 2012.</p></list-item><list-item><label>c.</label><p id="d1e2575">The results from the flight on 24 April 2012 are not considered
trustworthy due to the extreme low wind speeds. The possibility that parts
of the plume were missed due to irregular dispersion cannot be ruled and is
consistent with the apparent observation that the deduced flow rate on this
day was lower than any previous or subsequent day.</p></list-item><list-item><label>d.</label><p id="d1e2578">When applicable (e.g. on flight B690) , both methods 1 and 2 described
in Sect. 3 give reliable and consistent flow rate estimates.</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e2583">Methane flow rate from flights on 30 March, 3 April, 17
April, 24 April and 4 May 2012. The symbols in black show flow rates
calculated using method 2 and those in red show flow rates calculated using
method 1. Multiple results from the same flight are from different distances
downwind from the Elgin rig and/or from different calculation methods. The
time separation of multiple results from the same flight have been slightly
exaggerated for clarity.</p></caption>
            <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f06.png"/>

          </fig>

      <p id="d1e2592">It is noteworthy that it was only possible on one flight (B690, 3 April) to use the fully mixed boundary layer assumption (method 2). This
contrasts with the experience of the <italic>Deepwater Horizon</italic> incident reported by
(Ryerson et al., 2012). There are several possible factors contributing to
this. For the majority of the flights there was no clear capping inversion
to the boundary layer (see Fig. 5). Different water and air temperatures
likely helped drive vertical mixing better during the <italic>Deepwater Horizon</italic>
incident than the conditions present here. Although the gas temperature from
the Hod formation where the gas is thought to have originated is
<inline-formula><mml:math id="M138" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 165 <inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, considerable cooling is likely to have
occurred by the time that the gas was released into the atmosphere, due to
with conductive cooling as the gas migrates up through the well and an
additional temperature drop caused by pressure drop as the gas exits the
leak orifice. The lower concentrations of gases from the Elgin leak required
measurements to be made closer to the source than during the <italic>Deepwater Horizon</italic> incident, allowing less time for vertical mixing. The sea surface
temperatures and near-surface air temperatures were similar in all cases for
the Elgin flights (see Fig. S2 in SOM). This indicates only small air–sea
heat fluxes and a low tendency for buoyant generation of turbulence. All of
the flights during the period of the leak indicate small sea to air heat
fluxes, with this being reversed for the single August flight. This again
demonstrates the importance of having the two methods for calculating the
atmospheric flow rate, one of which (method 1) does not require the plume
to be<?pagebreak page1734?> fully mixed in the vertical, conditions that may be prevalent in colder
environments.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Hydrocarbon composition of the plume</title>
      <p id="d1e2627">Non-methane hydrocarbons (NMHC) and other volatile organic compounds in the
plumes were determined from whole-air flask samples by offline analysis
(Hopkins et al., 2011). NMHC content was dominated by
light alkanes ranging from &gt; 20 ethane to &lt; 1 ppb
benzene and &lt; 0.1 ppb higher monoaromatics. NMHCs up to C<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> all
showed enhancements corresponding to enhanced CH<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. However, it is noteworthy
that the mixing ratios of the heavier hydrocarbons (propane, butanes and
pentanes) all fall systematically more rapidly than those of excess methane
and ethane, over the entire range of methane mixing ratio (as shown in
Fig. 7). We believe this is likely caused by the heavier weight compounds
condensing more readily to the cold water surface along the length of the
plume due to their increased solubility. The plume was dominated by short
chain (&lt; C<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> linear and branched chain alkanes and some larger
monoaromatic compounds, with up to five alkyl groups substituents attached
to the benzene ring. No polycyclic aromatic compounds or oxygenated species
were observed in any of the samples.</p>
      <p id="d1e2660">The spatial mixing of higher condensate species with background air was
highly correlated to CH<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> NMHCs, as expected from
emissions from a single point source. Atmospheric measurements showed a
lower proportion of &gt; C<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> species than in Fort and
Sénéquier (2003) for Elgin reservoir fluids (<inline-formula><mml:math id="M147" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 %
vs 13 %). We speculate that these larger species condensed as liquids to
the relatively cold (7 to 8 <inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) sea surface rather than being
transported in the gas phase into the air plume. The corollary is that the
NMHC data show no evidence for widespread higher condensate evaporation into
air from the seawater sheen, despite reports of significant pollution risks,
including condensates from underwater release. This would suggest condensate
removal was by biological processes in the water, or simply due to cold
surface water, decreasing the evaporation rate to undetectable levels.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e2718">NMHC and CH<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> relationship in Elgin plume samples from three
different flights (shown by the different symbols). Data around 1860 ppb
CH<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> represent typical background mixing ratios.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f07.png"/>

        </fig>

      <p id="d1e2745">NMHC analyses reported here demonstrate that potential fractionation may
have occurred as the gas and liquid mix was emitted from the leak, and also that
there was likely disproportionation by selective fractionation of volatiles
during uptake in the water. Quantification of the gas flux to the atmosphere
by taking the ratio to the mass of the condensate sheen, although a useful
“first-guess” method, is thus very imprecise. Eventual estimates of
condensate mass ranged from approximately 0.04 to 20 t, over an
affected area estimated from approximately 15 to 600 km<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. This wide
range of estimates can potentially hamper a well designed response effort
(Ryerson et al., 2012). We emphasize the ability of the airborne chemical
data to provide significantly more precise flow rate information than that
provided by visual observations alone.</p>
      <p id="d1e2758">The evidence in the air plume for release of CH<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
alkanes confirmed that the gas leak was not released from a significant
depth. Initially it was not clear whether the gas leak was on the wellhead
platform, or below sea level, or both. After a Total press statement on 29
March 2012 and updated imagery on 30 March 2012, it became clear that there
was indeed a gas leak at the wellhead on the platform. The airborne NMHC
evidence supported the inference that release was indeed above sea level.</p>
      <p id="d1e2788">The height of the release was approximately the same as the aircraft
sampling altitude in the lowest sampling crosswind transects. Thus, the
aircraft was able to fly through the core of the plume. This contrasts with
the early situation in the BP <italic>Deepwater Horizon</italic> event, where release took
place 1.5 km subsurface and CH<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (Camilli et al., 2010; Yvon-Lewis et
al., 2011), light alkanes, and light aromatics were essentially completely
taken up in the water column (Reddy et al., 2012; Ryerson et al., 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e2805">Keeling plot of air samples.
<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42.3 <inline-formula><mml:math id="M158" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ‰.
(2<inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> error: geometric mean regression).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <?xmltex \opttitle{CH${}_{{4}}$ isotopes}?><title>CH<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopes</title>
      <p id="d1e2871">A further key goal of the airborne survey flights was to identify the
geologic source of the gas leak using the CH<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> isotopic measurements (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the gas plume using the Tedlar bag and flask
samples collected during the aircraft transects. This technique requires       rapid
sampling during the brief fly-through. Figure 8 shows <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> versus <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>CH<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> in air samples from the first two
flights, following the Keeling plot methodology of (Pataki et al., 2003).
The source gas has <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42.3 <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ‰ (<inline-formula><mml:math id="M169" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using geometric mean regression
and a Monte Carlo style simulation to determine the propagation of errors
into the fitting process where a geometric mean regression defines a line
whose intercept on the <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> axis gives the endmember
source value. The<?pagebreak page1735?> similarity of results from plotting separately the data
from the two flights implies the gas source did not change between flights.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e3018">Weekly HYSPLIT calculations of methane concentration over the European domain for weeks
commencing 28 March <bold>(a)</bold>, 4 April <bold>(b)</bold>, 11 April <bold>(c)</bold>, 18 April <bold>(d)</bold>, 25 April <bold>(e)</bold>,
2 May <bold>(f)</bold>, 9 May <bold>(g)</bold>, and 16 May <bold>(h)</bold>. Concentrations (colour shaded, ppb m) are vertically integrated from 0
to 2000 m: (integrated concentrations <inline-formula><mml:math id="M172" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 ppbm not shown).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/11/1725/2018/amt-11-1725-2018-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <title>Inference of the gas source</title>
      <p id="d1e3072">Compared to the first flight on 30 March 2012, the second flight on 3 April
2012 found significantly weaker plumes, suggesting that the gas source was
depleting. This was significant in that it supported the inference that the
source was comparatively small and depressurizing: i.e that the gas leak was
indeed from a restricted source such as may be found in the Hod Formation
and not from the main production depth (Bergerot, 2011). Information
released by Total indicated that the main production depth had been plugged
prior to the blowout.</p>
      <p id="d1e3075">The <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> isotopic ratio gives direct insight on the
source of the gas. <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is related to the fractionation
that has occurred because of the thermal history of the geological source of
the gas. In very hot deep gas fields, where early-formed biogenic gas may
have escaped and later-formed gases include thermogenic methane, C<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is typically enriched in <inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C (i.e. <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is less negative). In contrast, in shallower strata
<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is likely to be dominated by early-formed biogenic gas and
lighter (i.e. more negative).</p>
      <p id="d1e3179">The source rocks below the main gas field would have been at 5.5 km depth and
at 200 <inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C or more. In contrast, the over-pressured interval in the
overlying Hod Formation is at about 4.2 km depth and 165 <inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Isaksen,
2004). The gas in the Hod Formation likely formed in situ, trapped by the rock
without early leakage of isotopically lighter gas. Thus gas in the Hod
Formation will likely be much more negative in <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> than gas in the significantly hotter source regions underlying the Elgin
field.</p>
      <p id="d1e3220">Methane isotopic information on the Elgin gas field and the Hod Formation was
not available; instead, we estimate these based on published stable isotopic
values for ethane (C<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from the Elgin field. Isaksen (2004)
shows <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C around <inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 to <inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 ‰. The
data on the oils and ethane from the Elgin field suggest that hydrocarbons
from the producing gas reservoir are in equilibrium with the setting
(Isaksen, 2004). Under this assumption, and given the relatively high
maturity of the field, in the Elgin production gas we expect <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C in methane to be similar to the <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C ratio in
ethane (Berner and Faber, 1996), perhaps in the range <inline-formula><mml:math id="M189" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 to <inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 ‰. If significant
methane loss had occurred, or if methane had been introduced from below, we
would expect it to be less negative. A <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of
<inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42 ‰ from whole-air samples collected from the gas
plume is thus consistent with a source in the shallower, lower temperature
Hod Formation, rather than the deeper main Elgin reservoir. Alternatively, a
signature of 42 ‰ could be generated by mixing shallow
gas with gas from the main reservoir. For future events, it is clear that
the techniques described here combined with detailed isotopic analysis from
the production field would considerably aid source identification.</p>
</sec>
<?pagebreak page1736?><sec id="Ch1.S5.SS2">
  <title>Dispersion modelling</title>
      <p id="d1e3339">In order to assess any wider regional impact of the Elgin incident, HYSPLIT
model simulations were carried for each day between 25 March 2012 at
18:00 UTC and 16 May 2012 at 18:00 UTC. For each day, a 72 h
dispersion forecast was produced and the concentration at 72 h after
initialization was recorded. Then, a time average of these 72 h
concentration distributions was produced. Thus, dispersion predictions were
produced valid for the period 28 March 18:00 UTC until 19 May 2012 18:00 UTC. Calculations have only been made for CH<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and assume that the
methane is long-lived (a lifetime much greater than the 3 day model runs). The
source strength<?pagebreak page1737?> was allowed to vary temporally using an interpolated time
series from the measured flow rate described earlier. Figure 9 shows
HYSPLIT results broken down by week, integrated over all levels and
displayed over a domain containing all of Europe. The majority of the
CH<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> was distributed mainly to the south of the source. Low
concentrations of methane (&lt; 1 ppbV) travelled as far as mainland UK
(principally the Humber Estuary, the northern Norfolk Coast and the northern
Yorkshire coast) and continental Europe (Netherlands). The highest levels of
concentration, however, appear to be confined to a rectangular box that
extended from 56 to 57<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and from 1 to
3<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. This confinement is true at all levels. Above approximately
1 km above sea level the concentrations were negligible. There is some
evidence of the plume reaching as far south as Switzerland (at very low
concentrations) during periods 28 March to 10 April and 9 to 19 May.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p id="d1e3385">These results demonstrate that a rapid-response airborne survey is able not
only to quantify and track changes in the flux from the gas leak
(e.g. Conley et al., 2016; Ryerson et al., 2011, 2012), but
also to differentiate between potential source formations 4 to 5 km below
ground and to provide accurate, independent, and time-critical information
to guide operational response decisions. Moreover, the airborne measurement
provides an entirely external assessment, which is potentially useful to
national regulatory and legal procedures. As in the <italic>Deepwater Horizon</italic> response,
unavailability of reservoir compositional and isotopic data slowed
interpretation, but in this case did not prevent the timely communication of
robust and actionable results from these airborne survey flights.</p>
      <p id="d1e3391">Initially, a two-pronged approach was followed to resolve the Total Elgin
event. Preparations were made to drill a relief well from outside the safety
exclusion zone. This would have taken up to 180 days (Bellona, 2012). In
parallel, an assessment was made of the safety of approaching the platform
to control the well directly from the wellhead. As well as citing the flux
estimates from this work, the Government Interest Group (<uri>https://www.gov.uk/government/news/elgin-gas-release-government-interest-group</uri>, last access: 22 March 2018) stated on 11
April that “Aerial surveys have been undertaken to obtain a qualitative
assessment of the composition of the gas release, and modelling has been
undertaken to investigate the dispersion of the release. The primary purpose
of the modelling is to evaluate the explosion and safety risks”. Permission
for the successful dynamic kill was given on 3 May 2012. It is clear from
the Government Interest Group statement that the FAAM aircraft results
played an important role in the decision that it was safe to permit boarding
the platform.</p>
      <p id="d1e3397">The cost of the two month shutdown of Elgin and connected fields was around
GBP 1 billion, or roughly GBP 15–20 million per day. Had the
platform not been boarded, and the backup plan for drilling a relief well
been adopted instead, the shutdown could have lasted months longer, at much
higher cost to the national fiscus. Given the statement of the Government
Interest Group (2012) of the importance of the aircraft work in the safety
assessment, it is valid to assert that the FAAM aircraft measurements and
the modelling they supported saved the UK Treasury a significant sum of
potentially lost revenue had the shutdown lasted longer.</p>
      <p id="d1e3400">This study and earlier work (Ryerson et al., 2011, 2012; Conley et al., 2016) shows that airborne sampling can make
important and rapid findings to support decisive and effective responses
to major atmospheric pollution events. In this case, fortunately, the gas
leak, though serious, was relatively small and decreased with time. In
addition to the <italic>Deepwater Horizon</italic> event discussed above, there are examples
of other events where the effects have been more serious. In October 2015
blowout of a well connected to the Aliso Canyon underground storage facility
in California resulted in a massive release of natural gas. Analysis of
methane data from dozens of plume transects, collected during 13
research-aircraft flights showed atmospheric leak rates of up to 60 metric tons of methane per hour, an order of magnitude higher than the
maximum leak rate calculated here from Elgin (Conley et al., 2016). From
these measurements it was estimated that the amount of CH<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> released
substantially impacted the State of California greenhouse gas emission
targets for the year (California Environmental Protection Agency Air
Resource Board, 2014) and was equivalent to the annual energy sector
CH<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> emissions from medium-sized EU nations (EDGAR, 2016).</p>
      <p id="d1e3425">Therefore it is prudent to assume that there may be major future injections
of unquantified emissions into the atmosphere from industrial activities,
and that future pollution events may not be so forgiving. Moreover, other
sources of gas releases to the atmosphere do occur, such as very large fires
(Carvalho et al., 2011) or major volcanic emissions (see, e.g. Bluth et al.,
1992; Sparks et al., 1997; USGS, 2017). The methodology developed here shows
that independent airborne measurement can make major contributions to the
management of such events and hence to public security.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e3432">Data described in this analysis can be accessed at the Centre for Environmental Data Analysis
(<uri>http://catalogue.ceda.ac.uk/uuid/affe775e8d8890a4556aec5bc4e0b45c</uri>; CEDA, 2012).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3438"><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-11-1725-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-11-1725-2018-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p id="d1e3444">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3450">Thanks to the FAAM team for supporting the flights, including Maureen Smith, Steven Devereau, Doug Anderson, Guy Gratton, Steve Cowan,
Angela Dean, Graeme Nott, and Matt Gascoygne. Thanks to the staff from DirectFlight for flight planning and resolving any
safety issues : Charlie Whittaker, Mark Robinson, Ian Ramsey-Rae, Robbie Voaden, Paul McCormick, Gaynor Ottoway,
Peter Chappell, David Simpson, Mike Collins, and Barbara Burge. Thanks also to Graham Dennis (Blacklocks Polo Books and Print) for rapidly
acquiring a copy of Turner (1994) for us. Flights were supported by UK
NERC/UKMO FAAM facility. The authors gratefully acknowledge the NOAA Air
Resources Laboratory (ARL) for the provision of the HYSPLIT transport and
dispersion model.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Ralf Sussmann<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Bellona: Total Gas leak in North Sea out of control for foreseeable future:
<ext-link xlink:href="http://bellona.org/news/fossil-fuels/gas/2012-03-total-gas-leak-in-north-sea-out-of-control-for-foreseeable-future-says-bellonas-hauge">http://bellona.org/news/fossil-fuels/gas/2012-03-total-gas-leak-in-north-sea-out-of-control-for
-foreseeable-future-says-bellonas-hauge</ext-link> (last access: 22 March 2018),
2012.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Bergerot, J.-L.: Advanced Drilling in HP/HT: Total's Experience on
Elgin/Franklin (UK North Sea), Society of Petroleum Engineers,
<ext-link xlink:href="https://doi.org/10.2118/129422-JPT" ext-link-type="DOI">10.2118/129422-JPT</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>
Berner, U. and Faber, E.: Empirical carbon isotope/maturity relationships
for gases from algal kerogens and terrigenous organic matter, based on dry,
open-system pyrolysis, Org. Geochem., 24, 947–955, 1996.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Bluth, G. J. S., Doiron, S. D., Schnetzler, C. C., Krueger, A. J., and Walter,
L. S.: Global tracking of the SO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> clouds from the June, 1991 Mount
Pinatubo eruptions, Geophys. Res. Lett., 19, 151–154, 1992.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>California Environmental Protection Agency Air Resource Board: Overview,
available at: <uri>www.arb.ca.gov/cc/ab32/ab32.htm</uri> (last access: 22 March 2018), 2014.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Camilli, R., Reddy, C. M., Yoerger, D. R., Van Mooy, B. A. S., Jakuba, M.
V., Kinsey, J. C., McIntyre, C. P., Sylva, S. P., and Maloney, J. V.:
Tracking Hydrocarbon Plume Transport and Biodegradation at Deepwater
Horizon, Science, 330, 201–204, <ext-link xlink:href="https://doi.org/10.1126/science.1195223" ext-link-type="DOI">10.1126/science.1195223</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Carvalho, A., Monteiro, A., Flannigan, M., Solman, S., Miranda, A. I., and
Borrego, C.: Forest fires in a changing climate and their impacts on air
quality, Atmos. Environ., 45, 5545–5553,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2011.05.010" ext-link-type="DOI">10.1016/j.atmosenv.2011.05.010</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>CEDA: Centre for Environmental Data Analysis, FAAM
section, available at: <uri>http://catalogue.ceda.ac.uk/uuid/affe775e8d8890a4556aec5bc4e0b45c</uri> (last access: 22 March 2018),
2012.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Conley, S., Franco, G., Faloona, I., Blake, D. R., Peischl, J., and Ryerson,
T. B.: Methane emissions from the 2015 Aliso Canyon blowout in Los Angeles,
CA, Science, 351, 1317–1320, <ext-link xlink:href="https://doi.org/10.1126/science.aaf2348" ext-link-type="DOI">10.1126/science.aaf2348</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Dlugokencky, E. J., Myers, R. C., Lang, P. M., Masarie, K. A., Crotwell, A.
M., Thoning, K. W., Hall, B. D., Elkins, J. W., and Steele, L. P.:
Conversion of NOAA atmospheric dry air CH<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> mole fractions to a
gravimetrically prepared standard scale, J. Geophys. Res.-Atmos., 110, D18306, <ext-link xlink:href="https://doi.org/10.1029/2005JD006035" ext-link-type="DOI">10.1029/2005JD006035</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>EDGAR: Emission Database for Global Atmospheric Research, European
Commission Joint Research Centre, 2016,
available at: <uri>http://edgar.jrc.ec.europa.eu/overview.php?v=432_GHG&amp;SECURE=123</uri> (last access:
23 March 2018), 2016.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Fisher, R., Lowry, D., Wilkin, O., Sriskantharajah, S., and Nisbet, E. G.:
High-precision, automated stable isotope analysis of atmospheric methane and
carbon dioxide using continuous-flow isotope-ratio mass spectrometry, Rapid
Commun. Mass Spectrom., 20, 200–208, <ext-link xlink:href="https://doi.org/10.1002/rcm.2300" ext-link-type="DOI">10.1002/rcm.2300</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Fisher, R. E., France, J. L., Lowry, D., Lanoisellé, M., Brownlow, R.,
Pyle, J. A., Cain, M., Warwick, N., Skiba, U. M., Drewer, J., Dinsmore, K.
J., Leeson, S. R., Bauguitte, S. J. B., Wellpott, A., O'Shea, S. J., Allen,
G., Gallagher, M. W., Pitt, J., Percival, C. J., Bower, K., George, C.,
Hayman, G. D., Aalto, T., Lohila, A., Aurela, M., Laurila, T., Crill, P. M.,
McCalley, C. K., and Nisbet, E. G.: Measurement of the 13C isotopic
signature of methane emissions from northern European wetlands, Global
Biogeochem. Cy., 31, 605–623, <ext-link xlink:href="https://doi.org/10.1002/2016GB005504" ext-link-type="DOI">10.1002/2016GB005504</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Fort, J. and Senequier, P. H.: Two Year Production of 14.2<inline-formula><mml:math id="M201" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 106
SM3/D of Gas and 24 000 M3/D of Condensates at 150<inline-formula><mml:math id="M202" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 105 Pa and
190<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> C, 22nd World Gas Conference, Tokyo, Japan, 2003.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Hopkins, J. R., Jones, C. E., and Lewis, A. C.: A dual channel gas
chromatograph for atmospheric analysis of volatile organic compounds
including oxygenated and monoterpene compounds, J. Environ. Monit., 13,
2268–2276, <ext-link xlink:href="https://doi.org/10.1039/C1EM10050E" ext-link-type="DOI">10.1039/C1EM10050E</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Isaksen, G. H.: Central North Sea hydrocarbon systems: Generation,
migration, entrapment, and thermal degradation of oil and gas, AAPG Bull., 88, 1545–1572, <ext-link xlink:href="https://doi.org/10.1306/06300403048" ext-link-type="DOI">10.1306/06300403048</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>O'Shea, S. J., Bauguitte, S. J.-B., Gallagher, M. W., Lowry, D., and Percival, C. J.: Development of a cavity-enhanced absorption
spectrometer for airborne measurements of CH<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and CO<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Atmos. Meas. Tech., 6, 1095–1109, <ext-link xlink:href="https://doi.org/10.5194/amt-6-1095-2013" ext-link-type="DOI">10.5194/amt-6-1095-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Pataki, D. E., Ehleringer, J. R., Flanagan, L. B., Yakir, D., Bowling, D.
R., Still, C. J., Buchmann, N., Kaplan, J. O., and Berry, J. A.: The
application and interpretation of Keeling plots in terrestrial carbon cycle
research, Global Biogeochem. Cy., 17, 1022, <ext-link xlink:href="https://doi.org/10.1029/2001GB001850" ext-link-type="DOI">10.1029/2001GB001850</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Reddy, C. M., Arey, J. S., Seewald, J. S., Sylva, S. P., Lemkau, K. L.,
Nelson, R. K., Carmichael, C. A., McIntyre, C. P., Fenwick, J., Ventura, G.
T., Van Mooy, B. A. S., and Camilli, R.: Composition and fate of gas and oil
released to the water column during the Deepwater Horizon oil spill,
P. Natl. Acad. Sci. USA, 109, 20229–20234,
<ext-link xlink:href="https://doi.org/10.1073/pnas.1101242108" ext-link-type="DOI">10.1073/pnas.1101242108</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Ryerson, T. B., Aikin, K. C., Angevine, W. M., Atlas, E. L., Blake, D. R.,
Brock, C. A., Fehsenfeld, F. C., Gao, R. S., de Gouw, J. A., Fahey, D. W.,
Holloway, J. S., Lack, D. A., Lueb, R. A., Meinardi, S., Middlebrook, A. M.,
Murphy, D. M., Neuman, J. A., Nowak, J. B., Parrish, D. D., Peischl, J.,
Perring, A. E., Pollack, I. B., Ravishankara, A. R., Roberts, J. M.,
Schwarz, J. P., Spackman, J. R., Stark, H., Warneke, C., and Watts, L. A.:
Atmospheric emissions from the Deepwater Horizon spill constrain air-water
partitioning, hydrocarbon fate, and leak rate, Geophys. Res. Lett., 38,
L07803, <ext-link xlink:href="https://doi.org/10.1029/2011GL046726" ext-link-type="DOI">10.1029/2011GL046726</ext-link>, 2011.</mixed-citation></ref>
      <?pagebreak page1739?><ref id="bib1.bib21"><label>21</label><mixed-citation>Ryerson, T. B., Camilli, R., Kessler, J. D., Kujawinski, E. B., Reddy, C.
M., Valentine, D. L., Atlas, E., Blake, D. R., de Gouw, J., Meinardi, S.,
Parrish, D. D., Peischl, J., Seewald, J. S., and Warneke, C.: Chemical data
quantify Deepwater Horizon hydrocarbon flow rate and environmental
distribution, P. Natl. Acad. Sci. USA, 109,
20246–20253, <ext-link xlink:href="https://doi.org/10.1073/pnas.1110564109" ext-link-type="DOI">10.1073/pnas.1110564109</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Song, C. H., Chen, G., Hanna, S. R., Crawford, J. and Davis, D. D.:
Dispersion and chemical evolution of ship plumes in the marine boundary
layer: Investigation of O<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>/NO<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>/HO<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry. J. Geophys.
Res., 108,  4143, <ext-link xlink:href="https://doi.org/10.1029/2002JD002216" ext-link-type="DOI">10.1029/2002JD002216</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>
Sparks, R. S. J., Bursik, M. I., Carey, S. N., Gilbert, J. S., Glaze, L. S.,
Sigurdsson, H., and Woods, A. W. (Eds.): Volcanic Plumes, Wiley, 1997.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Stein, A. F., Draxler, R. R., Rolph, G. D., Stunder, B. J. B., Cohen, M. D.,
and Ngan, F.: NOAA's HYSPLIT Atmospheric Transport and Dispersion Modeling
System, B. Am. Meteorol. Soc., 96, 2059–2077, <ext-link xlink:href="https://doi.org/10.1175/bams-d-14-00110.1" ext-link-type="DOI">10.1175/bams-d-14-00110.1</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Turner, D. B.: Workbook of Atmospheric Dispersion Estimates, CRC Press,
1994.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>United States Geological Survey (USGS): Volcanoes can affect the Earth's
climate, available at: <uri>https://volcanoes.usgs.gov/vhp/gas_climate.html</uri> (last access: 23 March 2018), 2017.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>
United States National Resources Council: Committee on Emergency and
Continuous Exposure Guidance Levels for Selected Submarine Contaminants.
Emergency and Continuous Exposure Guidance Levels for Selected Submarine
Contaminants, Vol. 3, National Academies Press (US), 2009.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Wang, J.: Evaluation of the Dropsonde Humidity Sensor Using Data from
DYCOMS-II and IHOP_2002, JAtOT., 22, 247–257,
<ext-link xlink:href="https://doi.org/10.1175/jtech1698.1" ext-link-type="DOI">10.1175/jtech1698.1</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Yvon-Lewis, S. A., Hu, L., and Kessler, J.: Methane flux to the atmosphere
from the Deepwater Horizon oil disaster, Geophys. Res. Lett., 38,
L01602, <ext-link xlink:href="https://doi.org/10.1029/2010GL045928" ext-link-type="DOI">10.1029/2010GL045928</ext-link>, 2011.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Flow rate and source reservoir identification from airborne chemical sampling of the uncontrolled Elgin platform gas release</article-title-html>
<abstract-html><p>An uncontrolled gas leak from 25 March to 16 May 2012 led to
evacuation of the Total Elgin wellhead and neighbouring drilling and production
platforms in the UK North Sea. Initially the atmospheric flow rate of
leaking gas and condensate was very poorly known, hampering environmental
assessment and well control efforts. Six flights by the UK FAAM
chemically instrumented BAe-146 research aircraft were used to quantify the
flow rate. The flow rate was calculated by assuming the plume may be
modelled by a Gaussian distribution with two different solution methods:
Gaussian fitting in the vertical and fitting with a fully mixed layer. When
both solution methods were used they compared within 6 % of each other,
which was within combined errors. Data from the first flight on 30 March
2012 showed the flow rate to be 1.3 ± 0.2 kg CH<sub>4</sub> s<sup>−1</sup>,
decreasing to less than half that by the second flight on 17 April 2012.
<i>δ</i><sup>13</sup><i>C</i><sub>CH<sub>4</sub></sub> in the gas was found to be −43 ‰, implying that the gas source was unlikely to be from
the main high pressure, high temperature Elgin gas field at 5.5 km depth, but
more probably from the overlying Hod Formation at 4.2 km depth. This was
deemed to be smaller and more manageable than the high pressure Elgin field
and hence the response strategy was considerably simpler. The first flight
was conducted within 5 days of the blowout and allowed a flow rate estimate
within 48 h of sampling, with <i>δ</i><sup>13</sup><i>C</i><sub>CH<sub>4</sub></sub> characterization
soon thereafter, demonstrating the potential for a rapid-response capability
that is widely applicable to future atmospheric emissions of environmental
concern. Knowledge of the Elgin flow rate helped inform subsequent decision
making. This study shows that leak assessment using appropriately designed
airborne plume sampling strategies is well suited for circumstances where
direct access is difficult or potentially dangerous. Measurements such as
this also permit unbiased regulatory assessment of potential impact,
independent of the emitting party, on timescales that can inform industry
decision makers and assist rapid-response planning by government.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Bellona: Total Gas leak in North Sea out of control for foreseeable future:
<a href="http://bellona.org/news/fossil-fuels/gas/2012-03-total-gas-leak-in-north-sea-out-of-control-for-foreseeable-future-says-bellonas-hauge" target="_blank">http://bellona.org/news/fossil-fuels/gas/2012-03-total-gas-leak-in-north-sea-out-of-control-for
-foreseeable-future-says-bellonas-hauge</a> (last access: 22 March 2018),
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Bergerot, J.-L.: Advanced Drilling in HP/HT: Total's Experience on
Elgin/Franklin (UK North Sea), Society of Petroleum Engineers,
<a href="https://doi.org/10.2118/129422-JPT" target="_blank">https://doi.org/10.2118/129422-JPT</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Berner, U. and Faber, E.: Empirical carbon isotope/maturity relationships
for gases from algal kerogens and terrigenous organic matter, based on dry,
open-system pyrolysis, Org. Geochem., 24, 947–955, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Bluth, G. J. S., Doiron, S. D., Schnetzler, C. C., Krueger, A. J., and Walter,
L. S.: Global tracking of the SO<sub>2</sub> clouds from the June, 1991 Mount
Pinatubo eruptions, Geophys. Res. Lett., 19, 151–154, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
California Environmental Protection Agency Air Resource Board: Overview,
available at: <a href="www.arb.ca.gov/cc/ab32/ab32.htm" target="_blank">www.arb.ca.gov/cc/ab32/ab32.htm</a> (last access: 22 March 2018), 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Camilli, R., Reddy, C. M., Yoerger, D. R., Van Mooy, B. A. S., Jakuba, M.
V., Kinsey, J. C., McIntyre, C. P., Sylva, S. P., and Maloney, J. V.:
Tracking Hydrocarbon Plume Transport and Biodegradation at Deepwater
Horizon, Science, 330, 201–204, <a href="https://doi.org/10.1126/science.1195223" target="_blank">https://doi.org/10.1126/science.1195223</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Carvalho, A., Monteiro, A., Flannigan, M., Solman, S., Miranda, A. I., and
Borrego, C.: Forest fires in a changing climate and their impacts on air
quality, Atmos. Environ., 45, 5545–5553,
<a href="https://doi.org/10.1016/j.atmosenv.2011.05.010" target="_blank">https://doi.org/10.1016/j.atmosenv.2011.05.010</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
CEDA: Centre for Environmental Data Analysis, FAAM
section, available at: <a href="http://catalogue.ceda.ac.uk/uuid/affe775e8d8890a4556aec5bc4e0b45c" target="_blank">http://catalogue.ceda.ac.uk/uuid/affe775e8d8890a4556aec5bc4e0b45c</a> (last access: 22 March 2018),
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Conley, S., Franco, G., Faloona, I., Blake, D. R., Peischl, J., and Ryerson,
T. B.: Methane emissions from the 2015 Aliso Canyon blowout in Los Angeles,
CA, Science, 351, 1317–1320, <a href="https://doi.org/10.1126/science.aaf2348" target="_blank">https://doi.org/10.1126/science.aaf2348</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Dlugokencky, E. J., Myers, R. C., Lang, P. M., Masarie, K. A., Crotwell, A.
M., Thoning, K. W., Hall, B. D., Elkins, J. W., and Steele, L. P.:
Conversion of NOAA atmospheric dry air CH<sub>4</sub> mole fractions to a
gravimetrically prepared standard scale, J. Geophys. Res.-Atmos., 110, D18306, <a href="https://doi.org/10.1029/2005JD006035" target="_blank">https://doi.org/10.1029/2005JD006035</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
EDGAR: Emission Database for Global Atmospheric Research, European
Commission Joint Research Centre, 2016,
available at: <a href="http://edgar.jrc.ec.europa.eu/overview.php?v=432_GHG&amp;SECURE=123" target="_blank">http://edgar.jrc.ec.europa.eu/overview.php?v=432_GHG&amp;SECURE=123</a> (last access:
23 March 2018), 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Fisher, R., Lowry, D., Wilkin, O., Sriskantharajah, S., and Nisbet, E. G.:
High-precision, automated stable isotope analysis of atmospheric methane and
carbon dioxide using continuous-flow isotope-ratio mass spectrometry, Rapid
Commun. Mass Spectrom., 20, 200–208, <a href="https://doi.org/10.1002/rcm.2300" target="_blank">https://doi.org/10.1002/rcm.2300</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Fisher, R. E., France, J. L., Lowry, D., Lanoisellé, M., Brownlow, R.,
Pyle, J. A., Cain, M., Warwick, N., Skiba, U. M., Drewer, J., Dinsmore, K.
J., Leeson, S. R., Bauguitte, S. J. B., Wellpott, A., O'Shea, S. J., Allen,
G., Gallagher, M. W., Pitt, J., Percival, C. J., Bower, K., George, C.,
Hayman, G. D., Aalto, T., Lohila, A., Aurela, M., Laurila, T., Crill, P. M.,
McCalley, C. K., and Nisbet, E. G.: Measurement of the 13C isotopic
signature of methane emissions from northern European wetlands, Global
Biogeochem. Cy., 31, 605–623, <a href="https://doi.org/10.1002/2016GB005504" target="_blank">https://doi.org/10.1002/2016GB005504</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Fort, J. and Senequier, P. H.: Two Year Production of 14.2 ×  106
SM3/D of Gas and 24 000 M3/D of Condensates at 150 ×  105 Pa and
190° C, 22nd World Gas Conference, Tokyo, Japan, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Hopkins, J. R., Jones, C. E., and Lewis, A. C.: A dual channel gas
chromatograph for atmospheric analysis of volatile organic compounds
including oxygenated and monoterpene compounds, J. Environ. Monit., 13,
2268–2276, <a href="https://doi.org/10.1039/C1EM10050E" target="_blank">https://doi.org/10.1039/C1EM10050E</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Isaksen, G. H.: Central North Sea hydrocarbon systems: Generation,
migration, entrapment, and thermal degradation of oil and gas, AAPG Bull., 88, 1545–1572, <a href="https://doi.org/10.1306/06300403048" target="_blank">https://doi.org/10.1306/06300403048</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
O'Shea, S. J., Bauguitte, S. J.-B., Gallagher, M. W., Lowry, D., and Percival, C. J.: Development of a cavity-enhanced absorption
spectrometer for airborne measurements of CH<sub>4</sub> and CO<sub>2</sub>, Atmos. Meas. Tech., 6, 1095–1109, <a href="https://doi.org/10.5194/amt-6-1095-2013" target="_blank">https://doi.org/10.5194/amt-6-1095-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Pataki, D. E., Ehleringer, J. R., Flanagan, L. B., Yakir, D., Bowling, D.
R., Still, C. J., Buchmann, N., Kaplan, J. O., and Berry, J. A.: The
application and interpretation of Keeling plots in terrestrial carbon cycle
research, Global Biogeochem. Cy., 17, 1022, <a href="https://doi.org/10.1029/2001GB001850" target="_blank">https://doi.org/10.1029/2001GB001850</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Reddy, C. M., Arey, J. S., Seewald, J. S., Sylva, S. P., Lemkau, K. L.,
Nelson, R. K., Carmichael, C. A., McIntyre, C. P., Fenwick, J., Ventura, G.
T., Van Mooy, B. A. S., and Camilli, R.: Composition and fate of gas and oil
released to the water column during the Deepwater Horizon oil spill,
P. Natl. Acad. Sci. USA, 109, 20229–20234,
<a href="https://doi.org/10.1073/pnas.1101242108" target="_blank">https://doi.org/10.1073/pnas.1101242108</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Ryerson, T. B., Aikin, K. C., Angevine, W. M., Atlas, E. L., Blake, D. R.,
Brock, C. A., Fehsenfeld, F. C., Gao, R. S., de Gouw, J. A., Fahey, D. W.,
Holloway, J. S., Lack, D. A., Lueb, R. A., Meinardi, S., Middlebrook, A. M.,
Murphy, D. M., Neuman, J. A., Nowak, J. B., Parrish, D. D., Peischl, J.,
Perring, A. E., Pollack, I. B., Ravishankara, A. R., Roberts, J. M.,
Schwarz, J. P., Spackman, J. R., Stark, H., Warneke, C., and Watts, L. A.:
Atmospheric emissions from the Deepwater Horizon spill constrain air-water
partitioning, hydrocarbon fate, and leak rate, Geophys. Res. Lett., 38,
L07803, <a href="https://doi.org/10.1029/2011GL046726" target="_blank">https://doi.org/10.1029/2011GL046726</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Ryerson, T. B., Camilli, R., Kessler, J. D., Kujawinski, E. B., Reddy, C.
M., Valentine, D. L., Atlas, E., Blake, D. R., de Gouw, J., Meinardi, S.,
Parrish, D. D., Peischl, J., Seewald, J. S., and Warneke, C.: Chemical data
quantify Deepwater Horizon hydrocarbon flow rate and environmental
distribution, P. Natl. Acad. Sci. USA, 109,
20246–20253, <a href="https://doi.org/10.1073/pnas.1110564109" target="_blank">https://doi.org/10.1073/pnas.1110564109</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Song, C. H., Chen, G., Hanna, S. R., Crawford, J. and Davis, D. D.:
Dispersion and chemical evolution of ship plumes in the marine boundary
layer: Investigation of O<sub>3</sub>/NO<sub><i>y</i></sub>/HO<sub><i>x</i></sub> chemistry. J. Geophys.
Res., 108,  4143, <a href="https://doi.org/10.1029/2002JD002216" target="_blank">https://doi.org/10.1029/2002JD002216</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Sparks, R. S. J., Bursik, M. I., Carey, S. N., Gilbert, J. S., Glaze, L. S.,
Sigurdsson, H., and Woods, A. W. (Eds.): Volcanic Plumes, Wiley, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Stein, A. F., Draxler, R. R., Rolph, G. D., Stunder, B. J. B., Cohen, M. D.,
and Ngan, F.: NOAA's HYSPLIT Atmospheric Transport and Dispersion Modeling
System, B. Am. Meteorol. Soc., 96, 2059–2077, <a href="https://doi.org/10.1175/bams-d-14-00110.1" target="_blank">https://doi.org/10.1175/bams-d-14-00110.1</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Turner, D. B.: Workbook of Atmospheric Dispersion Estimates, CRC Press,
1994.

</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
United States Geological Survey (USGS): Volcanoes can affect the Earth's
climate, available at: <a href="https://volcanoes.usgs.gov/vhp/gas_climate.html" target="_blank">https://volcanoes.usgs.gov/vhp/gas_climate.html</a> (last access: 23 March 2018), 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
United States National Resources Council: Committee on Emergency and
Continuous Exposure Guidance Levels for Selected Submarine Contaminants.
Emergency and Continuous Exposure Guidance Levels for Selected Submarine
Contaminants, Vol. 3, National Academies Press (US), 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Wang, J.: Evaluation of the Dropsonde Humidity Sensor Using Data from
DYCOMS-II and IHOP_2002, JAtOT., 22, 247–257,
<a href="https://doi.org/10.1175/jtech1698.1" target="_blank">https://doi.org/10.1175/jtech1698.1</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Yvon-Lewis, S. A., Hu, L., and Kessler, J.: Methane flux to the atmosphere
from the Deepwater Horizon oil disaster, Geophys. Res. Lett., 38,
L01602, <a href="https://doi.org/10.1029/2010GL045928" target="_blank">https://doi.org/10.1029/2010GL045928</a>, 2011.
</mixed-citation></ref-html>--></article>
