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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GI</journal-id><journal-title-group>
    <journal-title>Geoscientific Instrumentation, Methods and Data Systems</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GI</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Instrum. Method. Data Syst.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2193-0864</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/gi-9-483-2020</article-id><title-group><article-title>Using near-surface atmospheric measurements as a proxy for quantifying field-scale soil gas flux</article-title><alt-title>Quantifying field-scale soil gas flux</alt-title>
      </title-group><?xmltex \runningtitle{Quantifying field-scale soil gas flux}?><?xmltex \runningauthor{A. Barkwith et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Barkwith</surname><given-names>Andrew</given-names></name>
          <email>andr3@bgs.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Beaubien</surname><given-names>Stan E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6127-9744</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Barlow</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8202-0379</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kirk</surname><given-names>Karen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1091-1150</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lister</surname><given-names>Thomas R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Tartarello</surname><given-names>Maria C.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5837-6818</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Taylor-Curran</surname><given-names>Helen</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>British Geological Survey, Environmental Science Centre, Nottingham, NG12 5GG, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Dipartimento di Scienze della Terra, Università di Roma “La Sapienza”, Rome, 00185, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Andrew Barkwith (andr3@bgs.ac.uk)</corresp></author-notes><pub-date><day>18</day><month>December</month><year>2020</year></pub-date>
      
      <volume>9</volume>
      <issue>2</issue>
      <fpage>483</fpage><lpage>490</lpage>
      <history>
        <date date-type="received"><day>27</day><month>March</month><year>2020</year></date>
           <date date-type="rev-request"><day>14</day><month>April</month><year>2020</year></date>
           <date date-type="rev-recd"><day>8</day><month>October</month><year>2020</year></date>
           <date date-type="accepted"><day>27</day><month>October</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Andrew Barkwith et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <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://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020.html">This article is available from https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020.html</self-uri><self-uri xlink:href="https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020.pdf">The full text article is available as a PDF file from https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e141">We present a new method for deriving surface soil gas flux at the field scale, which is less
fieldwork intensive than traditional chamber techniques and less expensive than those derived from
airborne or space surveys. The “open-field” technique uses aspects of chamber and
micrometeorological methods combined with a mobile platform and GPS to rapidly derive soil gas
fluxes at the field scale. There are several assumptions in using this method, which will be most
accurate under stable atmospheric conditions with little horizontal wind flow. Results show that
soil gas fluxes, when averaged across a field site, are highly comparable between the open-field
method and traditional chamber acquisition techniques. Atmospheric dilution is found to reduce the
range of flux values under the open-field method, when compared to chamber-derived results at the
field scale. Under ideal atmospheric conditions it may be possible to use the open-field method to
derive soil gas flux at an individual point; however this requires further investigation. The
open-field method for deriving soil–atmosphere gas exchange at the field scale could be useful for
a number of applications including quantification of leakage from <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> geological storage
sites, diffuse degassing in volcanic and geothermal areas, and greenhouse gas emissions,
particularly when combined with traditional techniques.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e164">The study of soil–atmosphere gas exchange has become more prominent over the past couple of
decades. Objectives for these studies are wide-ranging, for example, the study of volcanic degassing
(Carn et al., 2016; Cardellini et al., 2017), quantification of carbon budgets (Houghton and
Nassikas, 2017; Le Quéré et al., 2018), greenhouse gas (GHG) emission studies (Oertel et
al., 2016), and identifying potential leakage from enhanced oil recovery (EOR) and carbon capture
and storage (CCS) sites (Korre et al., 2011; Beaubien et al., 2013; Jones et al., 2014). Soil gas
emissions are directly measured at points or spots using chamber techniques (Pumpanen et al., 2004)
or over restricted areas through micrometeorological methods (Dugas, 1993). At regional and national
scales, airborne and space measurements are used to derive soil gas emissions using empirical and
process-oriented models for post-processing. These regional-scale methods lack detail required for
field-scale studies (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) and may be prohibitively expensive (Oertel
et al., 2016). Feitz et al.  (2018) provide a comparison of many of these techniques under a
controlled gas release.</p>
      <p id="d1e200">Closed-loop flux chamber-based analyses utilize an open-bottomed chamber with a known footprint and
volume placed on the soil surface, allowing gases emitted by the soil to accumulate within the
chamber headspace (Rolston, 1986). From analysis of the gas mixing ratios within the chamber over
time, the flux of gas from the soil can be derived for that small spot of the land surface. In
contrast, an open-loop technique passes air through the sample chamber at a known flow rate, until a
steady-state concentration is observed, from which a flux rate is derived (Denmead, 2008). Both
techniques require measurements at a large number of points to estimate field-scale fluxes via
interpolation, with the caveats that sample density is sufficient to represent site spatial
variability and that flux is static with respect to time<?pagebreak page484?> during the measurement period (Gao et al.,
1998). The use of chambers to represent soil gas fluxes at field scale is often highly
time-intensive and prone to interpolation-related uncertainty (Elío et al., 2016), particularly
for sites with heterogeneous soils or geology.</p>
      <p id="d1e203">Micrometeorological methods use eddy covariance (EC) techniques to derive soil gas flux. A
three-dimensional sonic anemometer is coupled to a gas analyser attached to a tower or mast,
allowing measurements that incorporate areas up to several square kilometres under the right
atmospheric and terrain conditions (Myklebust et al., 2008). Continuous EC measurements over a
period of time (usually days to weeks) allow soil gas fluxes for a particular parcel of land (the EC
footprint) to be derived from absolute gas concentrations, temperature, and vertical and horizontal
wind flows (see for example, Eugster and Merbold, 2015). The EC footprint location and size are
calculated through post-processing of the high-resolution data, averaged over longer time intervals
(Aubinet et al., 2012). EC methods require a fully turbulent flux, where the majority of vertical
movement is driven by eddies, and uniform, homogeneous terrain, where air density fluctuations and
convergence/divergence are negligible (Lee et al., 2004). Soil gas flux from EC is derived by
integrating the net fluxes upwind from the measurement point (Eugster and Merbold, 2015). A key
component of the EC method is calculating (a posteriori) the pathway from the instrument sensors to
the soil surface under turbulent conditions, which leads to multiple assumptions (see Baldocchi and
Meyers, 1998). Tower- or tripod-based EC methods are difficult to utilize for consistent
identification of soil gas flux at any particular location, as they are reliant on wind direction,
surface roughness, and atmospheric conditions to determine the location of their footprint. Roving or
mobile EC towers can effectively enlarge the EC footprint to cover any particular location; however
these techniques take days to weeks of measurement to provide sufficient coverage at the field scale
(Eugster et al., 1997; Billesbach et al., 2004).</p>
      <p id="d1e206">Unmanned aerial vehicles (UAVs) could potentially be used to capture field-scale flux in the future,
but currently they have limited flight times (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and weight restrictions that limit
sensor options to small, low-power devices (see for example, Danilov et al., 2015; Hass et al.,
2014). These low-power sensors do not currently have the sensitivity to observe small flux anomalies
at flight height and speeds of fixed-wing UAVs, and slower copter-style UAVs generate too much
downdraft for an accurate measurement (Li et al., 2020).</p>
      <p id="d1e224">There is currently a lack of practical, fast, inexpensive methods for quantifying soil gas flux at
field scales, which are highly relevant to leakage and degassing studies. The objective of this
paper is present a new “open-field” method that uses aspects of chamber and micrometeorological
methods combined with a mobile platform and GPS to rapidly derive soil gas fluxes at the
field scale. We assess this method against traditional chamber techniques for field locations within
the UK and Italy and discuss the explicit and implicit assumptions inherent in the presented
technique.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
      <p id="d1e235">Development of a new field-scale soil <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux quantification method was focused on
creating a mobile tool that could easily and quickly make measurements around a field site without
the need for stopping at individual locations, and that was valid on sloping or heterogeneous
terrain. Here we describe the theoretical aspects, assumptions made, components used to undertake
the measurements, and post-processing requirements.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Experimental theory</title>
      <p id="d1e256">As we approach the ground surface, frictional drag reduces horizontal wind speed to near-zero. The
depth of this frictional influence depends on the roughness of the ground (Oke, 1987). By assuming
that there is no horizontal wind flow close to the surface, we can discretize the near-surface
atmosphere into non-interacting boxes of air, each with a base fixed on the ground surface, and
treat each of these as a type of “open” dynamic flux chamber. Open chambers use two openings: an
inlet that draws ambient air and an outlet to generate a continuous gas flow. The gas flux is
calculated by the concentration difference between these two ends under a known flow rate through
the system (Kutsch et al., 2009). As such, if we know the concentration of a particular gas within
our air boxes, the atmospheric background concentration, and the vertical flow rate of air up through
the box, we can calculate soil gas flux in a similar way. In other words, we calculate the amount of
extra gas required to maintain a particular stable concentration near the surface. This may be
derived from the ideal gas law:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M7" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>P</mml:mi><mml:mi>V</mml:mi><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where flux, <inline-formula><mml:math id="M8" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), is calculated using the following: the atmospheric pressure,
<inline-formula><mml:math id="M10" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pa</mml:mi></mml:mrow></mml:math></inline-formula>); the ideal gas constant,
<inline-formula><mml:math id="M12" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> (8.31446 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">Pa</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); temperature,
<inline-formula><mml:math id="M14" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>); the molar mass of the gas being sampled,
<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); the vertical wind speed, <inline-formula><mml:math id="M18" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); and
<inline-formula><mml:math id="M20" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the volume of gas (<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) occupied by the difference between observed
(<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and background
(<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) gas concentration (ppm volume), per <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of air. From the perspective of
EC theory, this is similar to moving sensors from <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (standard for EC flux measurements) to ground level and reducing the footprint area to
zero. Under this setup, the atmospheric effects on the pathway between source and EC sensors become
negligible and we can dismiss the assumptions associated with turbulence and field properties.</p>
      <?pagebreak page485?><p id="d1e585">The physical basis for this calculation can be described using a thought experiment. Suppose we have
a box of air at the ground surface with a known, uniform gas concentration. As we know the volume of
the box and the gas concentration, we know the weight of that gas within the box from the ideal gas
law. Assuming the box is fully mixed, if we remove a known volume of gas from the top of the box, we
can calculate the weight of gas removed for a given area of land per time step. If we replace the
displaced volume with background (external) air, there will be a change in the gas weight in the box
(unless background and observed concentrations are equal) that equates to the weight of gas either
added or removed at the soil surface for a given area of land per time step, i.e. a soil gas flux.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Assumptions</title>
      <p id="d1e596">There are several implicit and explicit assumptions in the experimental theory presented for
deriving open-field soil gas fluxes. No horizontal wind flow at the measurement height is a major
assumption and in practice does not hold true under certain conditions, particularly under high
winds or on very smooth (aerodynamically) land surfaces. This can be tested in the field by
measuring horizontal wind flow at or near to measurement height, which itself is related to the
roughness length of the surface and meteorological conditions. Where horizontal wind flow is
non-zero, measurements above a specific location are no longer spatially coherent with the ground
directly below. Under these conditions, only an average open-field soil gas flux covering a
particular area can be derived. The relationship between wind speed, aerodynamic roughness, and the
area of land required to gain a representative averaged soil gas flux is unknown, but it is likely
to be similar to the derivation of flux footprint from the eddy covariance method (see for example,
Horst, 1999). Without horizontal wind flow, there are no turbulent conditions to create the vertical
wind components; however, even under moderately convective conditions, the vertical wind field is
directly coupled to the temperature field through buoyant forces (Nilsson et al., 2012).</p>
      <p id="d1e599">It assumed that a measurement point represents the entire box of air and that the air is fully
mixed. As the experimental theory is scalable, the size of the box can be reduced to near-zero and,
therefore, the assumption holds true. How well that measurement represents surrounding areas when
interpolation is applied in post-processing is unknown. The same issue is faced by traditional
chamber methods; however the open-field method results in a much higher density of measurements and
thus a comparatively reduced uncertainty.</p>
      <p id="d1e602">Air is assumed to be non-compressible and at a uniform temperature and density. The former is a
standard assumption in atmospheric sciences and would require complex adjustments to calculate;
however, given the scalability, the impact of compressibility differences would be minimal at a
near-zero box volume. Temperature and pressure differences are accounted for in the calculation of
gas weights using the ideal gas law.</p>
      <p id="d1e605">Finally, we assume that replacement air comes from either background atmospheric or the soil
surface. In reality, there will be some replacement from the surrounding air, which is not
necessarily at background. The greatest impact of this assumption occurs under atmospheric
conditions that create high vertical wind speeds and, therefore, are likely to “draw” air from the
surrounding area, such as when the land surface is much warmer than the surrounding atmosphere. The
impact of air–box interaction, in comparison to chamber methods, should result in a smoother, less
peaky dataset than that derived from chamber methods.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Field measurements and post-processing</title>
      <p id="d1e616">To gather the field-scale flux data, several instruments were mounted on a lightweight metal
handcart which was pulled around the various field sites.  To measure gas concentrations at the
required short time intervals, we used either open-path lasers (Boreal Gasfinder3) or a gas analyser
(Los Gatos Research Greenhouse Gas Analyser) to measure <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 1 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>. These were
mounted on the handcart and were sampling at a height of 10 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> from the ground
surface. Vertical wind flow was measured at 10 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> using a tri-axis sonic anemometer (Gill
Windmaster) mounted at a fixed point in the field.  Finally, a global positioning system (GPS)
receiver was added to the cart to provide positional data for the gas and flow
measurements. Figure 1 shows a prototype setup, with a sonic anemometer, open-path laser systems, and
GPS fitted to a custom-built handcart. For each of the field sites, the cart was pushed at a slow
walking pace (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in a grid pattern. The timestamps for all instruments
were synchronized at the start of the day and checked periodically for discrepancies. As the field
data were collected for multiple research purposes (for example, leakage detection), the cart was
sometimes returned to points with high gas concentrations to map specific areas in greater detail.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e679">Prototype of system used for this study. The system used to collect data for this research
had the sonic anemometer located in a fixed position in the field (instead of cart mounted) and
the <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> open-path laser replaced with a Los Gatos Research Greenhouse Gas Analyser. The
cart was also replaced with a lightweight metal cart that was easier to transport.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020-f01.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e702">Overview of the major characteristics of traditional chamber systems, the eddy covariance
method, and the open-field method to measure soil gas fluxes. Adapted from Eugster and Merbold
(2015).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="4cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Aspect</oasis:entry>
         <oasis:entry colname="col2">Traditional chambers</oasis:entry>
         <oasis:entry colname="col3">Eddy covariance</oasis:entry>
         <oasis:entry colname="col4">Open-field</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Spatial coverage</oasis:entry>
         <oasis:entry colname="col2">Small: few <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> per chamber;<?xmltex \hack{\hfill\break}?>moderate: can interpolate<?xmltex \hack{\hfill\break}?>between multiple<?xmltex \hack{\hfill\break}?>measurements</oasis:entry>
         <oasis:entry colname="col3">Large: few <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (bare soil) to<?xmltex \hack{\hfill\break}?>several <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi></mml:mrow></mml:math></inline-formula> (tall forest), dependent on surface roughness and<?xmltex \hack{\hfill\break}?>atmospheric conditions</oasis:entry>
         <oasis:entry colname="col4">Large: few <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> to several <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi></mml:mrow></mml:math></inline-formula>;<?xmltex \hack{\hfill\break}?>limited by the speed at which<?xmltex \hack{\hfill\break}?>the cart is pushed</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Measurement time at<?xmltex \hack{\hfill\break}?>field scale</oasis:entry>
         <oasis:entry colname="col2">Moderate: hours to days<?xmltex \hack{\hfill\break}?>depending on measurement<?xmltex \hack{\hfill\break}?>spacing.</oasis:entry>
         <oasis:entry colname="col3">High: days to weeks depending on atmospheric conditions</oasis:entry>
         <oasis:entry colname="col4">Low: minutes to hours</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Measurement type</oasis:entry>
         <oasis:entry colname="col2">Indirect: flux is calculated via<?xmltex \hack{\hfill\break}?>the concentration increase over<?xmltex \hack{\hfill\break}?>time during chamber closure</oasis:entry>
         <oasis:entry colname="col3">Direct: flux is measured as the<?xmltex \hack{\hfill\break}?>covariance of changes in turbulence and gas concentration</oasis:entry>
         <oasis:entry colname="col4">Indirect: flux is calculated via<?xmltex \hack{\hfill\break}?>the concentration difference to<?xmltex \hack{\hfill\break}?>background and vertical components of wind</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Instrument costs</oasis:entry>
         <oasis:entry colname="col2">Moderate: for manual chambers and analysis of the gas sample via gas chromatography; moderate/high: for automatic chambers which are either connected to a gas chromatograph or a gas analyser (e.g. infrared gas analyser or laser absorption spectrometer)</oasis:entry>
         <oasis:entry colname="col3">Moderate: for the scaffolding<?xmltex \hack{\hfill\break}?>or a tripod;  high: for instruments capable of measuring turbulence (sonic anemometers)<?xmltex \hack{\hfill\break}?>and gas concentrations <?xmltex \hack{\hfill\break}?>(infrared gas analysers, laser<?xmltex \hack{\hfill\break}?>absorption spectrometers)<?xmltex \hack{\hfill\break}?>at high temporal resolution<?xmltex \hack{\hfill\break}?>(typically 20 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">Low: for cart. High: for instruments capable of measuring turbulence (sonic anemometers)<?xmltex \hack{\hfill\break}?>and gas concentrations <?xmltex \hack{\hfill\break}?>(infrared gas analysers, laser<?xmltex \hack{\hfill\break}?>absorption spectrometers) at<?xmltex \hack{\hfill\break}?>moderate temporal resolution<?xmltex \hack{\hfill\break}?>(typically 1 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Maintenance costs<?xmltex \hack{\hfill\break}?>(technical)</oasis:entry>
         <oasis:entry colname="col2">Low: for manual chambers;<?xmltex \hack{\hfill\break}?>moderate: for automatic chambers as well as for carrier gases, for example, within a gas chromatography setup</oasis:entry>
         <oasis:entry colname="col3">Moderate: for replacing small<?xmltex \hack{\hfill\break}?>technical devices and calibration gases; high: in the case of<?xmltex \hack{\hfill\break}?>sensor replacement</oasis:entry>
         <oasis:entry colname="col4">Moderate: for replacing small<?xmltex \hack{\hfill\break}?>technical devices and calibration gases; high: in the case of<?xmltex \hack{\hfill\break}?>sensor replacement</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Maintenance costs<?xmltex \hack{\hfill\break}?>(labour)</oasis:entry>
         <oasis:entry colname="col2">High: due to length of time required for sample collection</oasis:entry>
         <oasis:entry colname="col3">Moderate: due to remote maintenance and less field activities</oasis:entry>
         <oasis:entry colname="col4">Low: due to length of time required for sample collection</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Computing<?xmltex \hack{\hfill\break}?>requirements</oasis:entry>
         <oasis:entry colname="col2">Low: flux calculation is based<?xmltex \hack{\hfill\break}?>on few data points and can be<?xmltex \hack{\hfill\break}?>script-based</oasis:entry>
         <oasis:entry colname="col3">High: due to high-frequency<?xmltex \hack{\hfill\break}?>data (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and often data<?xmltex \hack{\hfill\break}?>covering <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> year</oasis:entry>
         <oasis:entry colname="col4">Moderate: high-frequency data<?xmltex \hack{\hfill\break}?>over a short period and is script-based</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1016">For comparison, traditional closed-loop chamber methods were used to measure soil <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux
on a regular grid, where possible, for each of the field sites. For practical purposes, grid spacing
for the chamber measurements was determined by the size of the field and the time available to take
samples; a total of 80 and 32 points were measured at the Italian and UK sites, respectively. An
overview describing aspects of traditional chamber, EC, and the open-field methods is given in
Table 1.</p>
      <p id="d1e1030">Following collection of field data, time series of observational datasets (GPS, meteorological, and
gas concentration) were used (by an algorithm written in C<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> and using Eqs. 1 and 2) to derive the
open-field soil gas flux at 1 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>. Data from the sonic anemometer were averaged from
10 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> to the mid-point of each second. The GPS data allow the location of each data point
to be logged, and the derived soil gas flux was spatially interpolated between points using a
standard kriging<?pagebreak page486?> method. This interpolated dataset is used for the comparison of traditional chamber
and open-field methods in Sect. 3.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Study sites</title>
      <p id="d1e1068">To test and develop the new open-field technique two sites were chosen which have markedly different
characteristics in terms of <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux origins and rates. The first is located in a
mountainous valley near the small town of Ailano, Italy, situated about 150 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> SE of
Rome. This site consists of numerous flat agricultural fields where deep-origin, geologically
produced <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is migrating towards the surface and leaking to the atmosphere from a large
number of variably sized “gas vents” (Ascione et al., 2018). These gas vents, some of which are
isolated while others overlap and merge, range in <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux rates that are slightly above
the normal biological value of around 20 to over 5000 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with average values
typically less than 300 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The second site, Sutton Bonington, UK, is home to
the GeoEnergy Test Bed (GTB), a research facility that enables development and testing of innovative
monitoring technologies to improve our understanding of impacts and processes in the shallow
subsurface. This site consists of relatively flat agricultural fields overlaying river terrace
deposits and sandstone and mudstone formations. The data for this study were collected prior to any
experimentation at the GTB as part of a baseline survey. As data from the Ailano and Sutton
Bonington sites may be sensitive, exact locations are not given.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e1174">Figure 2 shows <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux data (<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, note the difference in temporal
units compared to the flux equation presented in the methods section) from a single field at the
Ailano site, with fluxes from the chamber method plotted on top of the<?pagebreak page487?> interpolated field-scale flux
distribution. A visual comparison shows that the open field-scale method produces values that are of
a similar order of magnitude to those obtained by chamber methods, although there are clear
differences at individual observation locations. <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux data for each individual survey
point at both field locations are plotted in Fig. 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1227"><inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux (<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) measured using a closed-loop chamber technique
(circles) and that derived using the open field-scale method (interpolated underlying plot), for
one of the field sites in Ailano, Italy.</p></caption>
        <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1274">Plots comparing <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux measured using the traditional chamber technique (circles)
to those derived from the open-field method (triangles) for Ailano, Italy (blue), and Sutton
Bonington, UK (green); note the much lower values at the latter. Link lines (grey) have been added
for each survey point to aid in visual assessment.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020-f03.png"/>

      </fig>

      <p id="d1e1295">To quantitatively compare open field-scale and closed-loop chamber methods at the larger scale, we
have de-localized the datasets and derived a set of summary statistics. The difference in mean
<inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux values between the techniques is 0.5 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for Ailano and
2.4 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for Sutton Bonington. Figure 4 shows box-and-whisker plots
representing the rest of the summary statistics for both sites. The median for both techniques
(50 % percentile) is highly comparable for the two sites, while the open field-scale method
exhibits less range between the 25 % and 75 % percentiles. Regression analysis (Fig. 5) shows
the deviation from a <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> relationship between the point and mobile flux techniques. The coefficient
of determination (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) between the techniques is 0.29 for Ailano and 0.08 for Sutton Bonington.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1386">Box-and-whisker plots comparing <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux measured using the traditional chamber
technique to those derived from the field method for Ailano, Italy (blue), and Sutton Bonington, UK
(green); note the much lower flux values at the latter. The boxes represent the 25 % (bottom)
and 75 % (top) quartiles and the central line the median.  The whiskers extend to 1.5 times
the inter-quartile range, and outliers are given as individual points.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020-f04.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1408"><inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux comparison of chamber vs. open field-scale technique for the measurement
sites in Ailano, Italy (blue), and Sutton Bonington, UK (green).</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://gi.copernicus.org/articles/9/483/2020/gi-9-483-2020-f05.png"/>

      </fig>

      <p id="d1e1427">The results show that the average (mean and median) <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux obtained using the chamber
technique and those derived from the open field-scale method presented in this study are highly
comparable at field-study scales. The range (absolute and between quartiles) of <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux
is smaller in the latter dataset, which, as discussed in the assumptions section, is likely due to
atmospheric dilution.</p>
      <p id="d1e1452">At individual measurement locations there is the potential for correlation between the chamber and
open-field-derived techniques, as shown at the Ailano site. However, this was not apparent in the
data collected for Sutton Bonington. This could be due to atmospheric conditions or that the
observed flux values were much smaller at the UK site. We assessed wind speed and direction against
the difference in flux between the two techniques, with low regression values indicating no
relationships between the wind variables and differences in flux (see Supplement).</p>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e1463">The present work describes the theoretical basis and preliminary test results of a new method for
rapidly estimating <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux from the ground surface over large areas, opening the door for
future development and improvement of this hybrid approach. The developed “open-field” method,
which combines aspects of open-chamber and micrometeorological methods on a mobile platform, is less
fieldwork intensive than traditional chamber techniques and cheaper than those derived from airborne
or space surveys.  Due to several assumptions, the most accurate results are expected under stable
atmospheric conditions, with little horizontal wind flow. When derived soil gas fluxes are averaged
at the field scale, they are highly comparable to results obtained using traditional chamber
techniques. As expected, atmospheric dilution leads to a reduced range of flux values under the open
field-scale method. Under ideal atmospheric conditions it may be possible to use the new method to
derive soil gas flux at an individual point; however this requires further investigation. The
presented method of deriving soil–atmosphere gas exchange at the field scale could be useful for a
number of applications including leakage, degassing, and greenhouse gas emission studies. The results
presented for the open-field flux method are limited in scope, and it is recognized that further
research is required to assess robustness under different environmental and meteorological
conditions.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1482">The data that support the findings will be available from the National Geoscience
Data Centre
(<uri>https://www.bgs.ac.uk/geological-data/national-geoscience-data-centre/</uri>, last access: 1 September 2020)  following a 12-month embargo from the date of publication. An
embargo is in place as the data are still being actively processed and interpreted within ongoing
research projects.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1488">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/gi-9-483-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/gi-9-483-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1497">AB designed the conceptual method and developed the code for processing data. SEB contributed to the experimental design of the study and provided access to field sites and equipment in Italy. TB, KK, TRL, and MCT undertook data collection and provided data analysis. HTC contributed to the experimental design of the study and provided access to field sites and equipment in the UK. All authors provided revisions to the scientific content of the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1503">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1509">The authors would also like to thank Doug Smith (temporary researcher, BGS) for useful discussions
around deriving the flux equation. This work is published with permission of the executive
directors of BGS. This publication received funding from the European Union's Horizon 2020
research and from the
Natural Environmental Research Council under UKRI.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1514">This research has been supported by the Horizon 2020 (ENOS (grant no. 653718)).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1520">This paper was edited by Tim van Emmerik and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Using near-surface atmospheric measurements as a proxy for quantifying field-scale soil gas flux</article-title-html>
<abstract-html><p>We present a new method for deriving surface soil gas flux at the field scale, which is less
fieldwork intensive than traditional chamber techniques and less expensive than those derived from
airborne or space surveys. The <q>open-field</q> technique uses aspects of chamber and
micrometeorological methods combined with a mobile platform and GPS to rapidly derive soil gas
fluxes at the field scale. There are several assumptions in using this method, which will be most
accurate under stable atmospheric conditions with little horizontal wind flow. Results show that
soil gas fluxes, when averaged across a field site, are highly comparable between the open-field
method and traditional chamber acquisition techniques. Atmospheric dilution is found to reduce the
range of flux values under the open-field method, when compared to chamber-derived results at the
field scale. Under ideal atmospheric conditions it may be possible to use the open-field method to
derive soil gas flux at an individual point; however this requires further investigation. The
open-field method for deriving soil–atmosphere gas exchange at the field scale could be useful for
a number of applications including quantification of leakage from CO<sub>2</sub> geological storage
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