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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-12-121-2023</article-id><title-group><article-title>Design and performance of the Hotrod melt-tip ice-drilling system</article-title><alt-title>Design and performance of the Hotrod melt-tip ice-drilling system</alt-title>
      </title-group><?xmltex \runningtitle{Design and performance of the Hotrod melt-tip ice-drilling system}?><?xmltex \runningauthor{W.~Colgan et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Colgan</surname><given-names>William</given-names></name>
          <email>wic@geus.dk</email>
        <ext-link>https://orcid.org/0000-0001-6334-1660</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Shields</surname><given-names>Christopher</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Talalay</surname><given-names>Pavel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8230-4600</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Fan</surname><given-names>Xiaopeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lines</surname><given-names>Austin P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6425-0218</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Elliott</surname><given-names>Joshua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Rajaram</surname><given-names>Harihar</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2040-358X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff7">
          <name><surname>Mankoff</surname><given-names>Kenneth</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5453-2019</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Jensen</surname><given-names>Morten</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Backes</surname><given-names>Mira</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Liu</surname><given-names>Yunchen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Wei</surname><given-names>Xianzhe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Karlsson</surname><given-names>Nanna B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0423-8705</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Spanggård</surname><given-names>Henrik</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pedersen</surname><given-names>Allan Ø.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Geological Survey of Denmark and Greenland, Copenhagen, Denmark</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Polar Research Center, Jilin University, Changchun, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Polar Research Equipment, Etna, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Environmental Health &amp; Engineering, Johns Hopkins University, Baltimore, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Copenhagen School of Design and Technology, Copenhagen, Denmark</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Space,  The Technical University of Denmark, Lyngby, Denmark</institution>
        </aff>
        <aff id="aff7"><label>a</label><institution>now at: NASA Goddard Institute for Space Studies, New York, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">William Colgan (wic@geus.dk)</corresp></author-notes><pub-date><day>14</day><month>July</month><year>2023</year></pub-date>
      
      <volume>12</volume>
      <issue>2</issue>
      <fpage>121</fpage><lpage>140</lpage>
      <history>
        <date date-type="received"><day>22</day><month>September</month><year>2022</year></date>
           <date date-type="accepted"><day>27</day><month>April</month><year>2023</year></date>
           <date date-type="rev-recd"><day>26</day><month>April</month><year>2023</year></date>
           <date date-type="rev-request"><day>6</day><month>October</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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/.html">This article is available from https://gi.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://gi.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://gi.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e251">We introduce the design and performance of an electrothermal ice-drilling system designed to insert a temperature sensor cable into ice. The melt tip is relatively simple and low-cost, designed for a one-way trip to the ice–bed interface. The drilling system consists of a melt tip, umbilical cable, winch, interface, power supply, and support items. The melt tip and the winch are the most novel elements of the drilling system, and we make the hardware and electrical designs of these components available open-access. Tests conducted in a laboratory
indicate that the melt tip has an electrical energy to forward melting heat transfer efficiency of <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> % with a theoretical maximum penetration rate of <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M3" 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">h</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>at maximum 6.0 kW power. In contrast, ice-sheet testing suggests the melt tip has an analogous heat transfer efficiency of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> % with a theoretical maximum penetration rate of <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula>. We expect the efficiency gap between laboratory and field performance to decrease with increasing operator experience. Umbilical freeze-in due to borehole refreezing is the primary depth-limiting factor of the drilling system. Enthalpy-based borehole refreezing assessments predict refreezing below critical umbilical diameter in <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> h at <inline-formula><mml:math id="M8" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ice temperatures and <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> h at <inline-formula><mml:math id="M11" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. This corresponds to a theoretical depth limit of up to <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m, depending on firn thickness, ice temperature, and operator experience.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Villum Fonden</funding-source>
<award-id>00022885</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e409">The thermal state of the ice–bed interface is a critical boundary condition
for understanding the form and flow of an ice sheet. Geothermal heat flow
provides the basal boundary condition for the thermodynamics in an ice-sheet
model. The presence or absence of basal sliding similarly provides the basal
boundary condition for the continuum mechanics in an ice-sheet model.
Presently, however, there is poor scientific agreement over whether the
ice–bed interface is at, or below, pressure-melting-point temperature
beneath an estimated one-third of the Greenland Ice Sheet (MacGregor et al.,
2022). There is also substantial disagreement between regional models of
geothermal heat flow across Greenland, which approaches 100 % relative
disagreement in southern Greenland (Colgan et al., 2021).</p>
      <p id="d1e412">While many boreholes have been drilled around the ice-sheet periphery, basal
temperature and geothermal heat flow have only been directly sampled in the
ice-sheet interior at six sites in the last 6 decades (Løkkegaard et
al., 2022). These six sites denote the locations of the deep Greenland ice
cores: Camp Century (1966), DYE-3 (1981), GISP2 (1993), GRIP (1998), NGRIP
(2003), and NEEM (2010). Retrieving each of these invaluable ice core records
represents a tremendous multi-annual logistical and scientific undertaking
(Langeway, 2008). At these sites, ice samples are collected and analyzed as
the primary data. Basal temperature and geothermal<?pagebreak page122?> heat flow are generally
measured as secondary data. Demand for increasingly detailed prognostic
simulations of ice-sheet form and flow, however, now provides a strong
impetus to drill deep boreholes for the primary purpose of measuring basal
thermal state (Siegert et al., 2020).</p>
      <p id="d1e415">Here, we describe the design and performance of a high-power electrothermal
ice-drilling system that has the sole purpose of rapidly deploying
thermistor strings to the ice–bed interface with minimum logistical support.
The fundamental concept is to pull a thermistor cable into the ice sheet
behind a compact and inexpensive melt tip on a one-way trip to the ice–bed
interface. We describe the laboratory and field testing of this ice-drilling
system. We also discuss the efficiency and applicability of our drilling
system. Finally, following open-science best practice, we have released the
computer-aided design (CAD) schematics, machining specifications, and source
code associated with this drilling system at
<ext-link xlink:href="https://doi.org/10.22008/FK2/DXXR06" ext-link-type="DOI">10.22008/FK2/DXXR06</ext-link> (Colgan et al., 2022), in the hope of
further accelerating improvements in melt-tip technology.</p>
      <p id="d1e421">Talalay (2019) provides an exceedingly detailed and comprehensive overview
of all previously deployed melt-tip, or hot-point, electrothermal ice-drilling systems. That overview highlights the fact that system power and melt-tip
diameter, which together define specific power, are key variables in
determining the rate of penetration through glacier ice. Specifically, it allows
the rate of penetration through glacier ice to be estimated from bivariate
regression of drilling system power and melt-tip diameter. Such an analysis
suggests that penetration rate increases <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula> for every
1 kW increase in system power and that penetration rate conversely
decreases <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M17" 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">h</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 every 1 cm increase in melt-tip
diameter. These simple sensitivities, which do not account for differences
in heat transfer efficiency between drilling systems or site-specific ice
characteristics, highlight the direct influence of specific power on
penetration rate.</p>
      <p id="d1e479">The electrothermal system that we describe here is broadly predicated on the
relatively high-power French drill design of Nizery (1951). The Nizery (1951)
drill system deployed 7.8 kW of electrical heating power within a drill
diameter of 50 mm, yielding a specific power of 397 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Negre, 1950). With this specific power, it achieved penetration rates of 20 to 25 <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">h</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> in temperate ice in the French Alps (Talalay, 2019). The electrothermal system that we describe here, which has the same diameter but lower heating power, has a specific power of 305 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Only two other electrothermal drills have exceeded a specific power of 200 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Sharp, 1951; Gillet, 1975). In contrast to these higher-power systems, all other electrothermal ice-drilling systems have specific power <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Wade, 1945; Gerrard et al., 1952; Ward, 1952, 1961; Miller, 1953; Mathews, 1957; Ignatov, 1960; Stacey, 1960; Schytt and Ekman, 1961; LaChapelle, 1963; Aamot, 1970; Classen, 1970, 1977; Shreve and Sharp, 1970; Sukhanov et al., 1974; Ryumin et al., 1974; Hooke, 1976; Morev, 1976; Taylor, 1976; Zagorodnov et al., 1976, 2014; Gillet et al., 1984; Kotlyakov, 1985; Grzés, 1980; Zeibig and Delisle, 1994).</p>
      <p id="d1e578">While conventional electrothermal drills operate in a liquid borehole,
meaning the drill can be raised and lowered within a liquid-filled borehole,
the vast majority of electrothermal drill systems developed in recent
decades operate in refrozen boreholes, meaning that the borehole refreezes
behind the drill as it penetrates (Aamot, 1967, 1968; Philberth, 1974; Morton and Lightfoot, 1975; Hansen and Kersten, 1984; Kelty, 1995; Zimmerman et al., 2001; Ulamec et al., 2007; Bentley et al., 2009; Dachwald et al., 2014; Stone et al., 2014, 2018; Weinstock et al., 2021; Winebrenner et al., 2013; Wirtz and Hildebrandt, 2016). This reflects a general trend, especially in the past 2 decades, of hot-point research being driven towards electrothermal drills of lower specific power suitable for extraterrestrial investigations with refrozen boreholes (Fig. 1) (Talalay, 2019). In this context, the electrothermal drilling system that we describe here has more than twice the specific power of any drilling system in operation since ca. 1980.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e583">Specific power of <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">46</mml:mn></mml:mrow></mml:math></inline-formula> electrothermal, or hot-point, drilling systems versus development year.
Drilling systems are divided into those that operate in liquid and refrozen
boreholes. Data compiled by Talalay (2019). Four drilling systems of higher
specific power (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) are identified.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f01.png"/>

      </fig>

      <p id="d1e631">Despite the pioneering efforts of Nizery (1951), Sharp (1951), and Gillet (1975), no detailed design plans or working drills are presently available within the public sphere for deploying hot-point drills of higher specific power (i.e., <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This article is meant to provide not only technical documentation for our hot-point ice-drilling system, but also  technical commentary to contextualize our design. This includes providing the rationale behind design choices, outlining abandoned variants and failed attempts, describing digital data and software solutions, and highlighting outstanding challenges. Our hope is that, in combination with the digital assets provided by Colgan et al. (2022), another team could reproduce our design with significantly less effort than we have invested in attempting to revive the ambitions of 1950s-era high-specific-power ice-drilling technology in a digital world.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page123?><sec id="Ch1.S2">
  <label>2</label><title>Design</title>
      <p id="d1e670">Below, we describe the drilling system in six sections: melt tip (Sect. 2.1), umbilical cable, (Sect. 2.2), winch (Sect. 2.3), interface
(Sect. 2.4), power supply (Sect. 2.5), and support items (Sect. 2.6).</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Melt tip</title>
      <p id="d1e680">The primary function of the melt tip is to transfer heat from its internal
cartridge heaters into the ice below the melt tip as efficiently as
possible. The melt tip therefore seeks to convert electrical energy and
dissipate the resulting heat flux in a down-borehole direction. As it is
possible for the melt tip to reach internal temperatures <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, ensuring that the melt-tip components, both structural and
electrical, can operate over an extreme temperature range (<inline-formula><mml:math id="M31" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>40 to <inline-formula><mml:math id="M32" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>400 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) presents an appreciable design challenge. The main components
of the melt tip are a copper heating block, an electronics package, and
structural members. The melt tip is <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2000</mml:mn></mml:mrow></mml:math></inline-formula> mm long with a
diameter of 50 mm and a total mass of 10 kg.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Heating block</title>
      <p id="d1e749">The heating block is designed to dissipate the highest possible heat flux
within the smallest possible cross-sectional area. We accommodate six 1 kW
heating cartridges in a copper cylinder of 50 mm diameter. With a
cross-sectional area of 1963 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, the heating block is therefore
capable of providing a specific power density of 305 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 6 kW power. The 130 mm long and 10 mm diameter heating cartridges are custom-designed by Freek GmbH (Menden, Germany) to focus heat at the tips of the cartridges. They include a 50 mm unheated area to allow the cable exit
points to be distanced safely from the heat generated at the tip. The
heating cartridges are placed as deep into the copper block, or as close to
the tip of the melt tip, as possible (Fig. 2). The six heating cartridges
form three 230 V circuits within a wye–star wired three-phase plus neutral line
configuration.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e782"><bold>(a)</bold> Technical drawing of the basic dimensions and
sections of the melt tip. <bold>(b)</bold> An interior view of cartridge slots shows the
depth placement of the 80 mm heated section of the cartridges.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f02.png"/>

          </fig>

      <p id="d1e796">Following previous melt-tip designs, we use a 60<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> cone to
form the bottom of the melt-tip head to dissipate heat downwards most
effectively into the ice (Talalay et al., 2019), with a parabolic shape
forming the rest of the melt tip, which has worked well in previous melt
tips (Kasser, 1960; Hooke, 1976). In an ideal case, the entire heat source
would fit in the 60<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> cone area. We must make the copper melt
tip long enough to account for the 80 mm heated length of the cartridges to
avoid otherwise overheating the insulated interior of the probe. Six flat
areas are removed around the widest point of the copper block to allow easy
grip in a bench vice (two points) or a lathe (three points) during
finishing, final tightening, and sealing.</p>
      <p id="d1e818">While the design of our melt tip has already evolved over four versions
during the project life, the fundamental heating block design of six 1 kW
cartridges in a copper block of 50 mm diameter with a 60<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
cone remained consistent across all four versions (v0–v3; Fig. 3). The v0
was a proof of concept that simply allowed all six 1 kW cartridges to be
powered up from a variable power supply but otherwise contained no
electronics package. The v1 tested a polytetrafluoroethylene (PTFE) collar around the upper portion of the copper heating block to better direct heat flow downwards. The v2 discontinued the use of this PTFE collar, increased the weight considerably, and improved the sealing between the copper tip and the steel body. The final v3 increased the exposed copper heating block area outside the steel body. While our v3 form is a big improvement over our v1 form, we acknowledge that both theory and practice suggest that there is still substantial room for improvement of this copper heating block design
(Shreve, 1962; Heinen et al., 2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e832">Photograph of the v1 (top), v2 (middle), and v3 (bottom)
melt-tip versions developed over the 3-year project lifetime (v0 not
shown). The v2 melt tip shown here, which has been sectioned for destructive
testing, bears a characteristic rust coating that develops with melt-tip
use. The v1 and v3 melt tips shown here have not been used.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f03.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e843">Customized electronics board within the probe that
integrates measurements from the cartridge and independent thermocouples as
well as the triaxial accelerometer and gyroscope with magnetometer.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f04.png"/>

          </fig>

      <p id="d1e852">Heat transfer from metal to ice is roughly 3 times as intensive as from
metal to water (Kasser, 1960), so if sufficient<?pagebreak page124?> force causes close ice–metal
contact at the tip, the highest heat flux should occur within the
60<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> cone area. The remaining section of the copper, likely
surrounded by meltwater, should serve to build up heat that is directed
towards heat loss at the tip, as well as increasing the total amount of heat
delivered into the borehole. This may result in a decrease in total
efficiency, but will still likely deliver faster penetration than otherwise
limiting the amount of power we can provide the tip out of fear of
overheating.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Electronics</title>
      <p id="d1e872">The melt tip houses an electronics package that uses a custom electronics
board to monitor temperatures at nine locations in the probe: four internal
temperatures of the heating units, two temperatures at the top surface of
the melt tip, and three locally on the circuit board. The package also
tracks the acceleration and orientation recorded by a
gyroscope or accelerometer (Figs. 4 and 5). We use a BNO080 triaxial
accelerometer and gyroscope, which also includes a magnetometer. We install
three ADS1118 ultra-small, quad-channel, 16-bit analog-to-digital converters
to read the differential thermocouples of  four of the six cartridge
heaters plus the two independent thermocouples embedded into the copper
heating block. Local temperatures, or thermocouple “cold junctions”, are
measured inside the ADS1118 chips. A 12-connection screw terminal block
provides a tight connection for the thermocouple leads. The thermocouple
wires are shielded by metal braid, which is electrically connected to the
shielding of the data cable, providing protection from electrical noise.
While it would be highly desirable for the melt tip to continuously measure
borehole diameter, this functionality is not yet integrated into the melt
tip.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e877">Overview of the internal construction of the melt tip
before resin casting.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f05.jpg"/>

          </fig>

      <p id="d1e886">The electronics board continuously reads these six thermocouples and triaxial accelerometer or gyroscope and magnetometer values, transmitting a comma-separated serial stream over RS485 approximately every 2 s. Serial to RS485 conversion is done with an external diode for electrostatic discharge protection and 120 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula> termination resistance. Twisted pairs from the data cable are soldered directly to the top of the printed circuit board (PCB) to connect differential RS485 lines and to supply power to the PCB. For first-order noise filtering, 50 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula> resistors and 100 nF capacitors are placed on every connection to data lines, as well as a 1 M pull-up on CS pins to avoid floating during device reset. These also double as short circuit protection. Testing on early melt-tip versions indicated that all data cables, especially those linking the thermocouples with the electronics board, needed to be electrically shielded to ensure data quality by reducing electromagnetic interference associated with the cartridge heater power cables. At the topside interface, the serial stream from the melt tip is merged with the serial stream from the winch to provide a single real-time data stream for operator feedback.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Structure</title>
      <p id="d1e913">The melt tip has two main sections, each housed within a separate steel body (Fig. 6). The lower section, which contains the copper heating block and electronics package, also contains an additional 2 kg copper weight block. Except for a small air cavity into which the unheated ends of the cartridge heaters protrude, the interior of the lower section is filled with a low-conductivity and high-temperature silicone. An M10 threaded rod running through the probe center from the copper block to a steel top cap is used to fasten the bottom and top components under high compression. A
<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> mm stack of Belleville washers compressed during top cap
tightening accommodates up to 5 mm of expansion associated with thermal and
pressure changes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e928">Photo of a fully assembled v3 melt tip on lake ice. The
lower member (image left) is sealed and resin-filled, while the upper member
(image right) is unsealed and unfilled.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f06.jpg"/>

          </fig>

      <p id="d1e937">The upper section lengthens the melt tip to permit vertical stabilization
via pendulum steering under gravity (Aamot, 1970; Grzés, 1980). While
pendulum steering is a traditional<?pagebreak page125?> and reliable approach, it clearly offers
no ability to steer the drill against gravity (Dachwald et al., 2014). The
upper member is an unsealed and unfilled steel jacket through which the
cables of the lower member pass. With five cables exiting the lower member
that require waterproof connections – four cartridge heater power cables
and one data cable – there is very limited free cross-sectional area around
the central M10 bolt (Fig. 7). The upper section also extends the central
M10 bolt to an eyebolt that serves as the structural connection to the winch
cable. Both the lower and upper sections have 3 mm thick steel jackets of 50 mm diameter. Together, these members give the melt tip a total length of
<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1700</mml:mn></mml:mrow></mml:math></inline-formula> mm, with the eyebolt extending a further
<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> mm.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e963">With four power cables, one data cable, and an M10
threaded bolt covered in Belleville washers, there is very little free space
on the metal top cap of the lower member of the melt tip.</p></caption>
            <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f07.jpg"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Umbilical</title>
      <p id="d1e981">The umbilical cable serves four distinct functions: powering the cartridge
heaters in the melt tip, transmitting signals from the sensors in the melt
tip, providing structural support to control the rate of descent during
drilling, and finally deploying the thermistor string that will measure ice
temperatures after drilling. Consequently, the umbilical cable consists of
four distinct components: power cable, data cable, thermistor cable, and
structural wire. Together, the four components of the umbilical cable have
an estimated mass of 0.762 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, ignoring the mass of zip ties (Table 1).
The idealized cross-sectional area of the umbilical cable – meaning the sum
of the cross-sectional areas of the four components – is 276 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. The
effective cross-sectional area – acknowledging imperfect fit with
<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> % misfit gaps between the four umbilical components –
is likely closer to <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">386</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. The umbilical cable
therefore occupies <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> % of the cross-sectional area of
the melt tip (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1963</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1078">Dimensions and mass of umbilical components. <inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Assumes the
idealized diameter and cross-sectional area that would be achieved by
combining all four umbilical cable components into a single cross-sectional
area without misfit gaps.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Component</oasis:entry>
         <oasis:entry colname="col2">Diameter</oasis:entry>
         <oasis:entry colname="col3">Area</oasis:entry>
         <oasis:entry colname="col4">Mass</oasis:entry>
         <oasis:entry colname="col5">Mass</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(mm)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(kg per</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">500 m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Structural wire</oasis:entry>
         <oasis:entry colname="col2">4.76</oasis:entry>
         <oasis:entry colname="col3">17.79</oasis:entry>
         <oasis:entry colname="col4">0.097</oasis:entry>
         <oasis:entry colname="col5">49</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Power cable</oasis:entry>
         <oasis:entry colname="col2">16.50</oasis:entry>
         <oasis:entry colname="col3">213.82</oasis:entry>
         <oasis:entry colname="col4">0.541</oasis:entry>
         <oasis:entry colname="col5">271</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Data cable</oasis:entry>
         <oasis:entry colname="col2">8.70</oasis:entry>
         <oasis:entry colname="col3">59.45</oasis:entry>
         <oasis:entry colname="col4">0.076</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Thermistor cable</oasis:entry>
         <oasis:entry colname="col2">7.50</oasis:entry>
         <oasis:entry colname="col3">44.18</oasis:entry>
         <oasis:entry colname="col4">0.047</oasis:entry>
         <oasis:entry colname="col5">24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">18.73<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">335.24<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.762</oasis:entry>
         <oasis:entry colname="col5">381</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <p id="d1e1295">The power, data, and thermistor cables are arranged at the ice surface to
separately feed each into the borehole. All three cables are zip-tied to the
main structural wire, every <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> cm during drilling, as it
passes through the winch frame (Fig. 8). Given the appreciable resistive
heating and electromagnetism generated in the power cable, the power cable
must be unspooled when conducting <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> kW power to prevent
melting the cable insulation and producing a large coil effect (Fig. 9).
Ideally, one should unspool the power cable and arrange it in an
<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> m “figure-eight” formation on the ice outside the drill
tent, as a figure-eight formation should cancel induced electric fields
where the power cable crosses itself. In practice, however, it is easier to
just have large loops of power cable on the ice surface. As the data cable
and unpowered thermistor cables experience negligible resistance heating
during drilling, they can be deployed from spools.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1331">Overhead <bold>(a)</bold> and side <bold>(b)</bold> views of the umbilical
cable bundled with
zip ties prior to entering the borehole.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f08.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1348">The effect of resistive heating of power cables during
field testing. <bold>(a)</bold> Visible image of the 230 and 400 V power cables from
the generator to the drilling tent. <bold>(b)</bold> A thermal image of the same cables
highlights the fact that current flow warms the cable to 0 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, despite an
ambient air temperature of <inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with light winds.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f09.jpg"/>

        </fig>

<?xmltex \hack{\newpage}?>
<?pagebreak page126?><sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Power cable</title>
      <p id="d1e1403">The power cable, which powers the cartridge heaters, is the largest and
heaviest component of the umbilical. The primary design requirement of the
power cable is four conductors capable of powering the wye–star wiring of
three pairs of 1 kW cartridge heaters. The secondary design requirement is
the rather extreme range of operating temperatures that may be encountered.
We use the ÖLFLEX Robust 210, which comprises four individually shielded
fine-wire copper conductors, each with a cross-sectional area of 10 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. This product has a thermoplastic elastomer (TPE) outer sheath that is environmentally and chemically resistant. The TPE sheathing is rated to maintain its flexibility and integrity to a lower operating temperature of <inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1436">The topside connection of the power cable is a conventional 400 V
three-phase plug-and-socket connection to the interface. The bottom-side
connection of the power cable is four individually crimped connections to
the four power cables within the upper member of the melt tip. Each crimped
connection is sealed with heat shrink tubing that contains adhesive glue. To
minimize umbilical diameter, the four crimped connections are distributed
over <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m of power cable. This ensures that the relatively
thick connections are non-overlapping and can fit within the upper member of
the melt tip. While there are certainly more sophisticated and elegant
methods to achieve water-resistant electrical couplings, such as
pressure-rated male–female couplings, crimps and heat shrink tubes provide a
relatively simple bottom-side connection that can allow melt tips to be
attached under field conditions. The relevant pressure-rated connectors also
have a non-trivial diameter (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> mm) that presents a challenge
to both the available cross-sectional melt-tip area and the borehole
diameter.</p>
      <p id="d1e1459"><?xmltex \hack{\newpage}?>There are no external transformers used in the power system. Conducting
electricity over relatively long distances results in non-trivial power and
voltage loss due to resistance. Technical specifications suggest 6.5 %
voltage losses over a 500 m umbilical length at 100 % power. This results
in a net resistive power loss of 386 W per 500 m and decreases the effective
voltage from 230 to 215 V at the cartridge heaters. The power cable has an
upper operating temperature of 80 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, which means it can
withstand limited resistive heating. When in air, 500 m of unspooled power
cable in figure-eight formation would therefore technically require a
passive environmental heat sink of at least 386 W. Resistive overheating of
the power cable heating is not an issue when it is submerged in the
water-filled borehole.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Data cable</title>
      <p id="d1e1483">The data cable returns signals from the instrument package in the melt tip
to the interface at the surface. The primary design requirement of the data
cable was transmitting data signals in low-voltage RS485 protocol without
interference from the induced electromagnetic field of the adjacent high-voltage power cable. These data signals include real-time measurements of
the orientation data string and the thermocouples embedded in the cartridge
heaters. For the data cable, we use an Etherline Robust PN Cat. 7 cable that
has four shielded pairs of copper wire. In addition to physical shielding of
the data signal, the RS485 transmission protocol makes the data signal
relatively insensitive to low-frequency noise. Any 50 Hz interference from
the AC power cable should influence paired RS485 signal wires in a
compensating fashion.</p>
      <p id="d1e1486">The topside connection of the data cable is a standard male–female
connector to the interface. The bottom-side connection of the data cable is
an IP67 rated male–female RS485 connection. The female end of this
connection is embedded in epoxy and emerges at the top of the melt tip. The
male end is attached to the data cable. These multi-pin connections make the
data cable connection the most complex connections of the four umbilical
components. It is therefore challenging to modify data cable length under
field conditions; altering data cable connections generally requires workshop conditions. The outer sheath of the data cable is TPE  that is rated to maintain flexibility to a lower operating temperature of <inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. While the data cable is only used to transmit signal during drilling, it can potentially be reactivated to measure the embedded melt-tip thermocouples any time after drilling. In this way, the data cable provides a secondary mechanism for measuring ice temperature that is redundant to the thermistor cable.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Thermistor cable</title>
      <p id="d1e1517">The thermistor cable, which is deployed with the umbilical cord during
drilling but only starts to measure and log ice temperatures once drilling
has finished, represents the main<?pagebreak page127?> sensor suite of the drill system. The
primary design requirement for the thermistor cable is that, with ultralow
power consumption, it can measure and log precise ice temperatures for the
several months required for the thermal disturbance of drilling to slowly
dissipate to background ice temperatures. The thermistor cable does not
enter the melt tip. Therefore, it has no bottom-side connections; it is
simply structurally attached to the umbilical with zip ties. After insertion
into the ice, the topside of the thermistor cable can be connected to a
solar-powered automatic data logger (Fausto et al., 2021).</p>
      <p id="d1e1520">The thermistor cable consists of a multi-lead wire with attached thermistors. We use an Alpha Wire multi-lead cable that has 12 individually insulated copper wires. This allows attaching 11 thermistors at desired intervals along the thermistor cable. To ensure a closer spacing of thermistors near the ice bed, where vertical gradients in ice temperature are anticipated to be greatest, the optimal spacing of these thermistors should form an exponential decay with ice depth. K-type thermistors are manually spliced into the desired positions of the multi-lead cable and then wrapped in heat shrink tubing. The outer sheath of the thermistor cable is polyvinyl chloride (PVC), which gets inflexible and brittle below <inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. While this type of thermistor cable has been used extensively by the Geological Survey of Denmark and Greenland for ice-sheet monitoring stations, digital temperature sensors would allow many more temperature measurements to be collected using a multi-lead cable with even fewer wires (Li et al., 2021a).</p>
      <p id="d1e1542">To recover precise ice temperatures, the thermistors are rapidly
equilibrating (10 s) and the thermistor cable has no shielding that could
vertically conduct heat. This lack of shielding, however, means that the
thermistor cable does not return reliable data during drilling, when the
adjacent power cable induces a strong electromagnetic field. The thermistors
have a precision of <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %, or <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>,
over an operating range of <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>80 to 150 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. To maintain ultralow power consumption, the thermistor cable operates on just 2.5 V. As
thermistor resistance varies as a function of ice temperature, the data
signal can be very sensitive to resistive loss in the signal wire. Using a
relatively large cross-sectional area (0.35 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) for the relatively low
voltage (5 V) in the signal wire minimizes resistive voltage loss to
<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % over 500 m.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>Structural wire</title>
      <p id="d1e1626">The structural wire bears the combined weight of the melt tip and umbilical.
The primary design requirement of this wire is sufficient strength with
minimum diameter. We use a steel aircraft cable that has seven bundles of
19 galvanized wires. This aircraft cable is supplied by US Cargo
Control as <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> in. wire, equivalent to a metric diameter of 4.76 mm, and has an ultimate tensile strength of 18.6 kN. The bottom-side termination of the structural wire is a loop that passes through the eyebolt protruding from the melt tip. The loop is held by brass wire clips, which permit free movement around the eyebolt. The topside connection of the structural wire is a secure clamp on the winch drum. Once drilling has started, the length of the structural wire provides a fundamental depth limit for the drilling system.</p>
      <p id="d1e1641">The structural wire bears 0.448 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of all four umbilical components (Table 1). It would clearly be desirable to have an integrated umbilical that
combines these four components into a single cable (Peng et al., 2021; Zhang
et al., 2021), as the combined mass of the power, data, and thermistor cables
is within the structural tolerance of some off-the-shelf power cables. As
previously described, however, resistive heating prevents a power cable from
being spooled on a winch drum, at least without an active cooling system. As
the structural wire is the only umbilical component to pass through the
winch, it controls the descent rate of the melt tip and umbilical. This
control function is arguably a more critical contribution to the drilling
system than its structural function.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Winch</title>
      <p id="d1e1670">The main function of the winch is to control the descent rate of the
melt tip and umbilical (Fig. 10). It serves as the physical connection
between the interface and the umbilical. The primary design requirement of
the winch is ensuring accurate pay-out of the structural wire under
sufficiently high torque. A secondary design requirement is minimizing the
weight and volume of the winch, with an upper length limit of 130 cm to
facilitate fieldwork transportation. Finally, the winch also provides open
access on two sides above the borehole to allow the other components of the
umbilical (power, data, and thermistor cables) to be manually zip-tied to the
winch's structural wire. With an empty spool, the winch weighs a total of 80 kg, consisting of 65 kg of frame and motor and 15 kg of timber foundation.
It runs on 230 V and draws a maximum of 500 W.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1675"><bold>(a)</bold> Winch motor-side view prior to field testing.
<bold>(b)</bold> Winch spool-side view during field testing. Umbilical components pass
through a carabiner on the tent ceiling before dropping into the winch frame
and being zip-tied to the structural wire.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f10.jpg"/>

        </fig>

<?xmltex \hack{\newpage}?>
<?pagebreak page128?><sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Frame</title>
      <p id="d1e1699">The main design requirement of the frame is bearing the load of the umbilical. We considered using an adjustable T-slot modular frame with T-nut
fasteners but found that a welded steel tube structure was easier to render
in the structural analysis software needed to understand how the wire load
produces vertical stress in some elements of the frame and horizontal stress
in other elements of the frame. The winch frame is therefore constructed
with square tube steel with a thickness of 1.65 mm and welded joints. We
estimate the safety factor of a welded steel frame as <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> when
the winch is under 400 kg load. The steel frame is secured to a timber
foundation of three <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2000</mml:mn></mml:mrow></mml:math></inline-formula> mm cross members. This timber foundation increases stability and decreases ground pressure. Under the characteristic load of a 500 m borehole, these timbers would ultimately bear up to 315 kg (65 kg winch weight, 10 kg melt-tip weight, 15 kg foundation weight, and up to 225 kg umbilical weight) and exert a pressure of 17 kPA (2.5 psi) on the underlying snow or ice.</p>
      <p id="d1e1736">The length of the winch is determined by the 130 cm design requirement and
the desire to provide the greatest distance possible between the encoder
pulley and the winch spool. Maximizing this distance, along with using a
relatively narrow but deep spool, minimizes variations in the feed angle of
wire from the spool to the encoder pulley. The winch spans the borehole
along its length axis, as the load is too great to cantilever over from one
side of the borehole. The 800 mm width of the winch is determined by the
need for a horizontal outrigger to accommodate both the spool-perpendicular
motor and possible off-axis side loading when working on snow and
ice surfaces. This outrigger ensures that the winch should operate with a
cross-slope tolerance of up to <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Due to space
and weight considerations, the height of the winch is minimized at 560 mm.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Motor</title>
      <p id="d1e1765">The main design requirement of the motor is ensuring sufficiently high
torque while still ensuring sufficiently small increments of pay-out from
the winch spool. This requirement ultimately determined a single gear
system, in which a stepper motor was paired with a <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mn mathvariant="normal">120</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> gear reduction.
This ensures that each of the integer steps taken by the motor can be
further reduced into a millimeter-scale unit of pay-out. As the spool radius changes
through time because wire slowly pays out from the spool, the wire passes
through an encoder pulley to independently measure pay-out length. During
normal operation, there is no brake; the motor and gearbox together provide
sufficient high-torque position control. The gearbox is the least
cold-tolerant winch element, with a rated lower operating temperature of <inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The ambient temperature of the drill tent is usually above
this threshold.</p>
      <p id="d1e1799">The single gear system can lower or raise the wire at prescribed speeds of
up to 30 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula>, within an estimated precision of 0.01 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula> within the
prescribed speed. The winch does not have a second higher gear for
spooling the cable. At maximum speed, the motor has a maximum pulling force
of 5.8 kN when all the cable is fully spooled and 11.3 kN when the cable
is fully deployed. As the drilling system is intended for the one-way
deployment of thermistors into the ice, the winch also does not have an
auto-leveler when pulling in wire to the spool. The lack of an
auto-leveler permits the winch spool to be relatively deep and narrow,
reducing the set-back distance between the spool and encoder pulley. With a
high gear and auto-leveler, however, the winch must be decoupled from the
motor hand-spooled. We estimate that removing the winch drum from the
drivetrain using a removable shaft collar and spooling a new wire takes a
non-trivial 3 person hours.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Electronics</title>
      <p id="d1e1844">The winch electronics provide the interface control over, and feedback from,
the winch. They are housed in a small Pelican case attached to the frame
that communicates with the interface via plain-text RS232 protocol. This
communication allows the interface to prescribe winch speed (within <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M94" 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">h</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 log the pay-out from the encoder pulley and load from the load-pin pulley. The accuracy of the load pin is doubled by looping the wire 180<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> around the load-pin pulley. The load-pin pulley measures absolute load to within <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> kg accuracy and relative load changes with <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> kg accuracy. The encoder pulley measures pay-out to better than <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mm accuracy. Under field conditions, however, the metal-on-metal combination of the encoder pulley and the structural wire allowed slippage, which substantially reduced the reliability of the digitally recorded pay-out. Manual logging ultimately provided more reliable depth estimates.</p>
      <p id="d1e1914">The winch motor and electronics are powered by a single 220 V cable from the
common power supply. The winch motor draws a maximum of 500 W. The winch
electronics draw negligible power. There are, however, separate ground lines
for the motor and electronics. This protects the electronics package from
any electrical noise and surges generated by the motor. In the event of an
emergency, loss of power, or electrical fault, a power-cut button is
depressed to engage an electromagnetic emergency brake on the motor. While
there is no manual control over the winch – all instructions must be
digitally transmitted via the interface – the open-source Arduino software
used by the winch electronics is easy to modify and upload under fieldwork
conditions. The power-cut button proved to be the easiest way to stop and
restart descent during ice-sheet drilling.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Interface</title>
      <p id="d1e1927">The primary design requirement of the interface is to manage both
high-voltage power and low-voltage data signals from all drill system
components in a compact and<?pagebreak page129?> operator-friendly fashion. The interface
consists of three distinct components: melt-tip power unit, melt-tip data
unit, and winch control unit (Fig. 11). A field laptop can be connected to
the interface to log data and provide digital commands. In the absence of a
field laptop, the drilling system can be operated with manual controls and
no data logging. Including a laptop, the interface weighs approximately 20 kg and uses less than 100 W of power. All interface components have a lower
temperature limit of at least <inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1951">Diagram of the interface connections to other drilling
system components. Red arrows indicate power. Blue arrows indicate data.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f11.png"/>

        </fig>

      <p id="d1e1960">While the interfaces are watertight when closed during shipping and
transport, they must be open during field operation to allow the operator to
see three independent local real-time data displays and accommodate many
diverse connections between the interface and other drill system components.
These connections include power in from the generator, power out to the
umbilical cable, data from the umbilical cable, data out from the power
unit, data in/out with the winch, two USB connections to a field laptop, and its own 230 V power supply. Clearly, it would be desirable to migrate the eight connections into a series of glands and ports on the exterior of a waterproof housing to make the interface more robust and water-resistant (Fig. 12).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e1966">Interface connecting to the melt tip, winch, and power
supply at the ice-sheet testing site. <bold>(a)</bold> Interface elements transported
inside a Pelican case. <bold>(b)</bold> Interface elements connected in the field
tent.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f12.jpg"/>

        </fig>

<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Melt-tip power unit</title>
      <p id="d1e1988">The melt-tip power unit is the regulator between the raw generator power
output and variable power delivered to the umbilical cable. The primary
purpose of this unit is to provide operator control over power delivery
within the 0 to 6 kW range, while also protecting the generator by evenly
distributing load and minimizing demand spikes. The heart of the melt-tip
power unit is three three-phase silicon-controlled relays (Thyro-A 3A 400-8
HRL3), which efficiently adjust the power supplied to the umbilical cable.
The three 400 V line voltages from the generator are wired in a wye–star
configuration, supplying 230 V across the heating elements with a common
neutral line. Instead of using internal melt-tip temperature as a
thermostat, regulating the generator power on/off, the relays analyze the
generator's 50 Hz AC signal and deliver a percentage of each cycle as set by
the operator.</p>
      <p id="d1e1991">The drill operator can prescribe power delivery as a percentage within the 0
to 6 kW range via a field laptop connected to the interface. The power unit
logs power delivery along with all settings and modes of operation through
time. These data are sent to the field laptop via USB connection using
Thyro-Tool software. A key safety feature of the power unit is an
independent circuit breaker (Lovato SM1R 2300) on each of the three incoming
230 V lines from the generator. These circuit breakers exist mainly to
protect the operators and generator from short circuits. The
silicon-controlled relays have their own circuit breakers that protect the
interface in the event of a down-borehole short circuit from water ingress
in either the umbilical cable or melt tip. Fuses are fitted in each relay in
the event of circuit breaker failure or generator surges.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Melt-tip data unit</title>
      <p id="d1e2002">The primary task of the melt-tip data unit is receiving serial data from the
umbilical data cable that transmits these data from temperature and
orientation sensors embedded in the melt tip (Fig. 13). To receive these
data, the melt-tip data unit must first supply the umbilical data cable with
regulated 12 V to power the electronics package within the probe. This
interface contains an RS485-to-USB converter, which allows the attached
field laptop to monitor and log the received information using SerialStudio
software. The melt-tip power unit is the regulator between the raw generator
power output and variable power delivered to the umbilical cable.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e2007">Sample of melt-tip data feedback during ice-sheet
drilling on 13 May 2022. Top to bottom: temperatures in four cartridge
heaters, temperatures in two spots in the copper heating block, temperature
at three places on the electronics board, 3-D acceleration, roll and pitch.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f13.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <label>2.4.3</label><title>Winch control unit</title>
      <p id="d1e2024">The primary task of the winch control unit is to provide reconfigurable
messaging to the winch, as well as receive real-time feedback from the winch. The winch has its own firmware to convert its step-motor rotation into pay-out length as a function of spool diameter. The winch control unit simply instructs this firmware of the desired speed and direction of pay-out. This instruction is transmitted via RS232 messages sent from the interface using an Arduino Mega. The winch control unit also locally displays the incoming and outgoing data stream on a small color thin-film transistor (TFT) display. This data stream includes the pay-out distance, winch speed, winch direction, load cell values, and deviation of load cell.</p>
      <p id="d1e2027">In the absence of a field laptop, the winch control unit of the interface
has glove-friendly manual controls to select winch speed and direction. The
winch control unit then converts these manually selected values into digital
messages and sends them to the winch. The RS232 connection between the
interface and the winch is isolated to avoid creating a ground loop. When
resetting the power supply, during generator refueling for example, all
interface data streams reset.<?pagebreak page130?> This creates the largest issue for the winch
data stream, as every power reset ultimately resets the winch pay-out and depth
back to zero.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Power supply</title>
      <p id="d1e2039">The power system must power the melt tip, the winch, and the interface
during drilling. The theoretical maximum power requirement of the drilling
system, including resistive loss in the umbilical and peripheral devices, is
approximately 6.6 kW (Table 2). The primary design requirement of the power
system is therefore supplying sufficient quantities of both three-phase 400 V
and two-phase 230 V power. While multiple smaller generators in parallel can
meet this requirement, a parallel generator configuration requires a
synchronometer, which represents an additional potential failure point
(Anker et al., 2021). We therefore use a single large generator. The Pramac
S12000 has a rated maximum output of 11.1 kW and a rated continuous output
of 9.5 kW. This continuous output provides 2.9 kW more power than<?pagebreak page131?> the
theoretical maximum 6.6 kW required by the drilling system; this represents
a capacity excess of <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula> % over a 6.6 kW demand baseline.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2055">Theoretical maximum power demand of the drilling system,
as well as generator supply and residual net capacity. Demand is denoted as
negative and supply is denoted as positive.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Component</oasis:entry>
         <oasis:entry colname="col2">Power (W)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Melt tip</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5582</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Umbilical</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>386</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Winch</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>500</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Interface</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total demand</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6568</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total supply</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M107" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>9500</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Net</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M108" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2932</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

      <p id="d1e2188">The generator is the single heaviest and largest component of the drilling
system; it weighs 165 kg and has dimensions of <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mn mathvariant="normal">960</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">641</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">667</mml:mn></mml:mrow></mml:math></inline-formula> mm. Despite its size, however, the generator can still be loaded into a DHC-6 Twin Otter aircraft with an effort level similar to loading a snowmobile. As the gasoline (or petrol) variant of the Pramac S12000 weighs slightly less than the diesel variant, we selected the gasoline variant. The generator clearly requires an appreciable fuel supply to sustain kilowatt-scale output for long periods of time. We measure a fuel consumption rate of 4.5 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula> for a sustained 5.5 kW output, which is slightly less than the 6.6 kW theoretical maximum of the drilling system. An <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> h drilling project therefore requires <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">225</mml:mn></mml:mrow></mml:math></inline-formula> L of fuel. With a tank capacity of 24 L, this requires refilling the generator every <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> h. Ongoing refueling is hazardous, as the generator's fuel tank is located immediately above an exhaust pipe that has an exterior skin temperature of <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">230</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 14). This is approaching the auto-ignition temperature of wayward gasoline droplets (280 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). It is important to completely fill the generator's fuel tank at the end of each day. This expels as much air as possible from the tank's headspace to prevent the overnight development of ice in the tank, which can block the fuel line. We found that the generator was difficult to start when the ambient air temperature was below <inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e2319"><bold>(a)</bold> Grounding stake drilled into the ice sheet near
the generator to ground all electrical elements of the drilling system. Note
the metal heat deflector beside the generator, protecting the high-density
plastic snowmobile sled. <bold>(b)</bold> Thermal image of the generator exhaust pipe
and its reflection in the metal heat deflector.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f14.jpg"/>

        </fig>

      <p id="d1e2333">Due to concerns over both noise and exhaust pollution, the generator is
housed in a separate generator tent <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> m downwind from the
drill tent. The generator has a rated noise level of 68 dB at 7 m. Moving
the generator to a distance <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> m away theoretically reduces
this noise level to 54 dB. The tent wall of the drill tent, as well as an
intervening snow wall, further reduces this noise level to an estimated 40 dB. To ground the generator, we drill a 6 m aluminum pole into the ice
sheet and pour water into the borehole to refreeze and increase local
conductivity around the base of the pole. We then attach the ground, or
earth, line of the generator to this pole. In firn-covered areas of the ice
sheet, substantial water volumes may be needed to increase the local
near-surface conductivity of relatively high-porosity firn to provide
sufficient grounding for the generator.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Support items</title>
      <p id="d1e2364">In addition to the five major components described above, deployment of the
melt-tip drilling system requires several minor support items. A Mountain
Hardwear Stronghold tent, with a peak interior height of 196 cm and an
interior floor area of 15.9 <inline-formula><mml:math id="M121" 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>, serves as the drill tent. A smaller
Pop'n'Work (GS8612) tent, with 4.4 <inline-formula><mml:math id="M122" 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> floor area, serves as the
generator tent when needed due to weather conditions. While the drill tent
is double-walled and can maintain a comfortable working temperature, the
downwind wall of the generator tent is typically open for ventilation during
operation. Neither tent has an in-built floor. To comfortably place the
generator tent <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> m downwind from the drill tent, we use
heavy-duty 50 m extension cables for both the 400 and 230 V power
supplies. We use bamboo poles of <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> m length, paired to
form X-shaped holders, to keep the power lines elevated above the snow
surface and avoid their freeze-in.</p>
      <p id="d1e2409">While we bring a wide range of hand tools for servicing the various
components of the drilling system, one especially invaluable tool is a
thermal camera (Seek Thermal ShotPRO). The thermal camera can quickly, and
independently, check the temperature of components that have high operating
temperatures, including the power cable, interface transformer, and
generator. Unfortunately, it proved nearly impossible to accurately measure
the temperature of the copper heating block protruding from the melt tip,
presumably due to complex emissivity properties of the wet metal surface.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e2414"><bold>(a)</bold> The melt tip is attached to a 2 m drill flight
and suspended from an oversized winch above the ice well during laboratory
testing. <bold>(b)</bold> Looking down into the ice well as the melt tip starts a new
borehole. A matrix of previous boreholes is seen in the ice well.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f15.jpg"/>

        </fig>

      <p id="d1e2429">In all, these support items weigh <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> kg, excluding fuel.
Rather than transporting fuel in 200 L drums, we prefer to<?pagebreak page132?> use 20 L metal
canisters, each of which has a tare weight of 4.3 kg. Accounting for 65 kg
of metal canisters means that a generous fuel budget of 300 L weighs 290 kg
total. In total, all drilling system components required for 500 m of
drilling weigh <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1090</mml:mn></mml:mrow></mml:math></inline-formula> kg (Table 3). The drilling system is
therefore within both the mass and volume limits of a single ski-equipped
DHC-6 Twin Otter flight. This total system weight is comparable to other
lightweight hot-point drilling systems of similar depth capability
(Zagorodnov et al., 2014).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2455">Drilling system weight associated with 500 m of umbilical cable.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Component</oasis:entry>
         <oasis:entry colname="col2">Mass (kg)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Melt tip</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Umbilical</oasis:entry>
         <oasis:entry colname="col2">225</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Winch</oasis:entry>
         <oasis:entry colname="col2">75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Interface</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Generator</oasis:entry>
         <oasis:entry colname="col2">165</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fuel</oasis:entry>
         <oasis:entry colname="col2">290</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Support items</oasis:entry>
         <oasis:entry colname="col2">150</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">1090</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{3}?></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Laboratory testing</title>
      <p id="d1e2564">Laboratory testing of the v2 melt tip was performed in the ice well of Jilin
University, China, in September 2021. The artificial ice well is 12 m deep
and 1 m wide, with an ice temperature of approximately <inline-formula><mml:math id="M127" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
(Wang et al., 2018). During testing, the melt tip was fastened to a 2 m metal
drill flight suspended from a winch above the ice well. An encoder on the
winch provided an independent estimate of penetration rate during a
<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m penetration test (Fig. 15). Two tests each were
conducted at power levels of 1.1 kW (18 %), 1.9 kW (32 %), and 2.7 kW
(45 %). More tests were intended at higher power levels, but the melt tip
failed with an electrical short during a 4.5 kW (75 %) power test. During
these tests, penetration rate was measured every 1 s with 1 mm
accuracy. We found, however, little temporal variation in penetration rates
(Fig. 16). We therefore only discuss the mean penetration rates of these
tests. The resulting mean penetration rates range from 1.9 <inline-formula><mml:math id="M130" 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">h</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> at 18 %
power to 5.9 <inline-formula><mml:math id="M131" 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">h</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> at 45 % power. In comparison to the theoretical maximum
penetration rate associated with perfect heat transfer efficiency between
the melt tip and the surrounding ice, these laboratory penetration rates
suggest the melt tip has a <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> % heat transfer efficiency
(Fig. 17). Assuming that penetration rate is linearly proportional to
power (Li et al., 2021a), the maximum penetration rate under laboratory
settings would be <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16"><?xmltex \currentcnt{16}?><?xmltex \def\figurename{Figure}?><label>Figure 16</label><caption><p id="d1e2670">Rate of penetration measured each second during a
45 % power test in the artificial ice well at Jilin University. Aside from
initialization and cessation effects, the rate of penetration showed little
temporal variance during the steady drilling period (5.9 <inline-formula><mml:math id="M135" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula> between 25 and 150 cm depth).</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f16.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F17"><?xmltex \currentcnt{17}?><?xmltex \def\figurename{Figure}?><label>Figure 17</label><caption><p id="d1e2705">Penetration rate as a function of power for the v2 melt
tip in the ice well and the v3 melt tip in the lake ice and ice sheet. For
the ice-sheet 21 m test, the 1 h maximum is shown in addition to the test
mean. Colored lines indicate heat transfer efficiency in comparison to
theoretical perfect heat transfer from the cartridge heaters to melt an
ideal borehole.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f17.png"/>

      </fig>

      <p id="d1e2715">The cause of the melt tip's electrical failure during the 75 % power test
was explored via destructive analysis of the v2 melt tip. This analysis
suggested that the internal resin fill, which was in contact with the top of
the copper heating block, had melted. This caused  mechanical instability,
whereby the copper heating block could move within the steel jacket, which
allowed water to enter the melt tip at the copper–steel seam, causing a short in the
cartridge heaters. The resin fill was not similarly compromised higher in
the melt tip (Fig. 18). Subsequently, a different type of silicone fill
was chosen, and the copper heating block of the v3 melt<?pagebreak page133?> tip was extended
upwards, further into the steel jacket, to reduce the unheated portion of
the cartridge heaters exposed from the top of the copper heating block. A
small air gap was also introduced between the top of the copper block and
the resin fill. Finally, hexagonal mounts were added to the exterior of the
copper heating block to enable a higher-pressure seal when tightening the
top cap against the M10 bolt mounted in the copper heating block. These
design changes stemming from laboratory failure were likely critical in
ensuring that the v3 melt tips did not suffer similar electrical failures
during field testing.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F18"><?xmltex \currentcnt{18}?><?xmltex \def\figurename{Figure}?><label>Figure 18</label><caption><p id="d1e2720">Melt-tip cross sections from destructive testing of the
v2 melt tip. <bold>(a)</bold> The resin filling encasing the unheated portions of the
cartridge heaters resin exposed from the copper heating block has melted.
<bold>(b)</bold> Uncompromised resin filling higher in the melt tip, encasing the
electronics package.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f18.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F19"><?xmltex \currentcnt{19}?><?xmltex \def\figurename{Figure}?><label>Figure 19</label><caption><p id="d1e2737">Testing on the frozen Lake Tuto suggests that the
effective borehole diameter of the melt tip is <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> mm over a
wide range of power levels and penetration rates.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f19.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Field testing</title>
      <p id="d1e2765">Initial integrated testing of the ice-drilling system with a v3 melt tip was
performed at Tuto Ramp, near Thule Air Base, Greenland, in May 2022 with two
operators. This testing brought together the melt tip, umbilical cable,
winch, interface, power supply, and support items for the first time. The
melt-tip drill was tested over shallow depths (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m) at variable
cartridge heater power levels in lake ice (76.4124<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 68.2949<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W; 496 m). The goal of these tests was to understand the
borehole width as a function of cartridge heater power level. Tests were
performed at 1.5 kW (25 %), 3.0 kW (50 %), and 4.5 kW (75 %) power.
While the rate of penetration was clearly proportional to power level
(3.0, 4.4 and 5.6 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula>, respectively), the borehole diameter was a
remarkably constant <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> mm diameter over all tests (Fig. 19). We interpret this to suggest that the 50 mm diameter melt tip has an
effective borehole diameter of 70 mm. These field tests on lake ice suggest
that the melt tip has a <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> % heat transfer efficiency.
Based on air temperatures measured at<?pagebreak page134?> the THU_L PROMICE
automatic weather station located <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km away, we estimate that the
near-surface lake ice temperature was approximately <inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during
drilling (Fausto et al., 2021).</p>
      <p id="d1e2863">The ice drill was more extensively tested at an ice-sheet ablation area site
known as D-11 (76.4106<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 68.2876<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W; 528 m), where
an ice-sheet borehole and temperature profile were previously measured
by the US Army Corps of Engineers (USACE) in 1961 (Fig. 20). In 1961, the
USACE estimated the ice thickness at D-11 to be 52 m. Based on the 2022
elevation difference between the ice surface at D-11 and the adjacent ramp
road surface, we expected the 2022 ice thickness at D-11 to be
<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> m, which would be consistent with <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> m of
ice surface melt since 1961. Curiously, however, our 100 MHz ice-penetrating
radar system suggested a 2022 ice thickness at D-11 of <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula> m.
The radar data, however, suggest there is a possible reflector horizon
<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> m above the true bedrock at D-11 (Fig. 21). It is
therefore conceivable that the mechanical drill of the USACE struck “bottom”
in an englacial debris layer rather than the true ice-sheet bed. Based on
ice temperatures observed at 8 m depth at the THU_L PROMICE
automatic weather station, we estimate that the deeper ice-sheet ice
temperature was approximately <inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during drilling (Fausto et
al., 2021). For ice-sheet drilling at D-11, the winch foundation was located
on the snow surface. A mechanical drill of <inline-formula><mml:math id="M155" display="inline"><mml:mo>∅</mml:mo></mml:math></inline-formula> 50 mm was used to drill
through the <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> m thick winter snowpack to provide the
melt-tip drill with direct contact to the underlying glacier ice. This thick
snowpack obscured the ice-sheet boreholes, which prevented us from similarly
photographing borehole diameter, as we had during lake ice testing. During
drilling, the power supply of the melt tip was slowly increased in
<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> min intervals to find a practical equilibrium between
winch pay-out and downward load on the melt tip over increasing penetration
rates. For this initial testing, thermistor cables were not employed, so the
umbilical bundle consisted of only one power cable, one data cable, and the
main structural wire. The main goal of the ice-sheet field testing was to
observe the performance of the drilling system for longer durations and
higher power levels than laboratory testing.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F20"><?xmltex \currentcnt{20}?><?xmltex \def\figurename{Figure}?><label>Figure 20</label><caption><p id="d1e2973">The D-11 drill site located on Tuto Ramp, near Thule
Air Base, in May 2022. In 1961, the ice surface elevation at D-11 was
approximately equal to the current elevations of the ramp roads located both
north (image left) and south (image right) of the drill tent.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f20.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F21" specific-use="star"><?xmltex \currentcnt{21}?><?xmltex \def\figurename{Figure}?><label>Figure 21</label><caption><p id="d1e2985">A 100 MHz ice-penetrating radar image of ice thickness from the
ice-sheet margin inland past the D-11 borehole (denoted in red) suggests an
ice thickness of <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula> m at the D-11 drill site.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f21.png"/>

      </fig>

      <p id="d1e3004">Two boreholes were drilled at D-11. The shallower borehole only reached 5 m
depth with a mean rate of penetration of 1.7 <inline-formula><mml:math id="M159" 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">h</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 mean power of 3.0 kW (50 %). The cartridge heater temperature varied between 200 and 300 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> h. Despite stable melt-tip temperatures and a stable rate of change on the cable load, the rate of penetration was remarkably slow throughout the drilling of this borehole. After 5 m, drilling was stopped, and a camera was lowered into the borehole (Fig. 22). The camera revealed that an <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> cm sediment layer had already collected on the borehole bottom, which greatly reduced downward heat transfer and penetration rate (Li et al., 2020). A water-filled cavern of diameter <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> cm had formed around the melt tip during this time. We suspect the borehole was initiated in a sediment-filled topographic low point on the snow-covered ice-sheet surface. We then realized that drilling between two ramp roads constructed by the USACE hauling thousands of tonnes  of road fill onto the ice sheet was a poor site selection for a melt-tip drilling system that was sensitive to borehole sediment. Generally, however, this borehole confirmed that the melt tip could sustain multi-hour operations without overheating.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F22"><?xmltex \currentcnt{22}?><?xmltex \def\figurename{Figure}?><label>Figure 22</label><caption><p id="d1e3068">A down-borehole video camera shows substantial sediment
accumulation on the borehole bottom within 5 m of the ice surface. We
estimate that a water-filled cavern of diameter <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> cm formed
around the melt tip. A bolt of length <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> cm was dropped
into the frame for scale.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f22.jpg"/>

      </fig>

      <p id="d1e3097">The deeper D-11 borehole, which was located just 2 m from the shallower
borehole, reached 21 m depth with a mean rate of penetration of 2.3 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula> and
mean power of 4.2 kW (70 %). The melt-tip cartridges again sustained
operating temperatures of between 200 and 300 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for
<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> h while drilling this borehole. The rate of
penetration was consistent until an abrupt stop at a borehole depth roughly
consistent with the layer that the USACE reported as the ice bed. Neither
leaving the melt tip in contact with this layer for an hour nor manually
raising and dropping the melt tip could penetrate this layer. From this
deeper borehole, we can also estimate a peak 1 h sustained rate of
penetration of 4.5 <inline-formula><mml:math id="M169" 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">h</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> at 5.1 kW (85 %) power. Rates of melt-tip
penetration observed in laboratory conditions are generally not directly
comparable to those observed under field conditions (Gillet et al., 1984).
For example, when drilling over greater depths in the field, an increasing
inclination angle was countered by raising the melt tip ca. 1 m and then
lowering it again at a normal penetration rate to correct the inclination angle.
While this approach was successful in returning the borehole to plumb, it
means rates of penetration in the field are only a fraction of penetration
in a laboratory. The 21 m borehole, for example, suggests that the melt tip
has a <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> % heat transfer efficiency. By comparison, some
melt-tip drills can achieve <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % heat transfer efficiency
under field conditions (Hooke, 1976).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F23"><?xmltex \currentcnt{23}?><?xmltex \def\figurename{Figure}?><label>Figure 23</label><caption><p id="d1e3179">Borehole radius over time solved with a 1-D ice–water
moving boundary heat diffusion model. These contrasting simulations depict
the differing maximum borehole radii and decay timescales with ice
temperatures of <inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 and <inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Shaded areas denote 75 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty in initial borehole water temperature. The dotted line
denotes a 10 mm radius equivalent to the effective cross-sectional area of
the umbilical.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f23.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page135?><sec id="Ch1.S5">
  <label>5</label><title>Discussion: borehole refreezing</title>
      <p id="d1e3243">Borehole refreezing is the fundamental depth limitation of melt-tip drilling
when the umbilical pays out from the ice surface (Zagorodnov et al., 2014).
Surface-deployed umbilical cords  continually move downward relative to
the surrounding ice. This requires an unfrozen borehole between the ice
surface and the melt tip to allow continued descent. Philberth-type melt
tips accommodate borehole freezing by unspooling their umbilical cable from
within the melt tip. In these melt tips, the umbilical cable does not move
after it leaves the melt tip and is therefore unaffected by refreezing of
the borehole (Aamot, 1967). As the system that we describe here has no
mechanism to counter borehole refreezing, such as antifreezing or
electrical heating, its maximum theoretical penetration depth depends on
outracing the refreezing front within the uppermost, or oldest, portion of
the borehole (Suto et al., 2008; Hills et al., 2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F24" specific-use="star"><?xmltex \currentcnt{24}?><?xmltex \def\figurename{Figure}?><label>Figure 24</label><caption><p id="d1e3248"><bold>(a)</bold> Borehole refreezing time to a characteristic water
radius of 1 mm over a variety of ice temperatures. The shaded area denotes
75 <inline-formula><mml:math id="M177" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty in initial borehole water
temperature. <bold>(b)</bold> Maximum theoretical penetration depth of the ice-drilling system over a variety of ice temperatures. The grey shaded area
corresponds to the shaded area in the top panel. The blue shaded area reflects
the characteristic porous firn depth.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f24.png"/>

      </fig>

      <p id="d1e3281">We simulate borehole refreezing using a 1-D radial heat transfer model. This
model is relatively simple in comparison to other models describing
processes at the interface between the melt tip and surrounding ice (Li et
al., 2021b). Our model consists of an enthalpy-based formulation of heat
diffusion and latent energy exchange across a moving water–ice phase
boundary (Greenler et al., 2014). This formulation ignores heat advection,
assuming the borehole water is essentially stagnant, as well as heat
production with the<?pagebreak page136?> umbilical, as frictional heating and resistive loss are
comparatively negligible. The radially symmetric two-phase moving boundary
solution is solved at 1 mm radial spacing and 100 s time steps with an
implicit numerical method (backward Euler). We prescribe the initial
borehole water temperature at 75 <inline-formula><mml:math id="M179" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and initial
borehole radius as the 25 mm melt-tip radius. We explore the change in
borehole radius over ice temperatures between <inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 and <inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e3330">Under all ice temperatures, the borehole radius initially grows rapidly due
to the high temperature gradient across the water-to-ice interface. After
this brief borehole growth period, during which heat is rapidly diffusing
into the ice, a longer borehole decay period begins. As the borehole
refreezes, the radius decays at an increasing rate, until closure when the
radius reaches the 10 mm radius equivalent to the effective cross-sectional
area of the umbilical. Due to the high specific heat capacity of ice, the
maximum borehole radius and decay time to 10 mm radius are both highly
dependent on ice temperature (Fig. 23). In <inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ice, the
maximum borehole radius reaches 46 <inline-formula><mml:math id="M186" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 mm and the borehole decay time
is 17 <inline-formula><mml:math id="M187" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 h. In <inline-formula><mml:math id="M188" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ice, these values are only
35 <inline-formula><mml:math id="M190" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 mm and 4 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 h, respectively.</p>
      <p id="d1e3400">Over the ice temperature range of <inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 to <inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, the borehole
decay time to a 10 mm radius decreases from <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> h. In truly temperate ice, at the
pressure melting point of 0 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at 1 atm pressure, the
borehole would never refreeze. Interestingly, feedbacks between the rate of
borehole growth and the ice temperature result in a local minimum in
refreezing time at ice temperatures  between <inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5 and <inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.
Multiplying these refreezing times by a characteristic penetration rate of
10 <inline-formula><mml:math id="M201" 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">h</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> (i.e., <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula> % of the theoretical maximum 12 <inline-formula><mml:math id="M203" 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">h</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>)
suggests that the theoretical maximum depth to which we could expect the
ice-drilling system to penetrate under ideal conditions without antifreeze
is <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m. As meltwater can escape the borehole in porous
firn, the theoretical maximum depth of the drilling system is the maximum
ice thickness plus the porous firn depth (Fig. 24). As porous firn depth
increases with decreasing near-surface temperature, decreasing theoretical
maximum ice thickness is partially offset by a reasonable assumption of
characteristic porous firn depth (Vandecrux et al., 2019).</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Summary remarks</title>
      <p id="d1e3551">Here, we have described the design and performance for a new melt-tip
ice-drilling system. The system consists of a melt tip, umbilical cable,
winch, interface, power supply, and support items. The melt tip and the
winch are the most novel elements of the drilling system. Consistent with an
open-science mandate, we make the CADs for these components available
in the open-access GEUS Dataverse repository:
<ext-link xlink:href="https://doi.org/10.22008/FK2/DXXR06" ext-link-type="DOI">10.22008/FK2/DXXR06</ext-link> (Colgan et al., 2022). We hope that
the level of detail that we have provided here is sufficient to allow other
groups to leapfrog this drilling technology.</p>
      <p id="d1e3557">The laboratory ice well testing suggests the melt tip has an electrical energy to forward melting heat transfer efficiency of <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> %
with a theoretical maximum penetration rate of <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula> at
6.0 kW (100 % power) under laboratory conditions. The available literature
suggests that there is substantial room for improvement in this heat
transfer efficiency (Fig. 25): for example, by changing the heating block
material and design or potentially converting to a DC power<?pagebreak page137?> system (Peng et al., 2021). The ice-sheet testing suggests the melt tip has an analogous heat transfer efficiency of <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> % with a theoretical
maximum penetration rate of <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:math></inline-formula>. While we expect the
efficiency gap between laboratory and field performance to decrease with
increasing operator experience drilling over greater depths, this performance is generally underwhelming given the power supplied. For comparison, the 7.8 kW and <inline-formula><mml:math id="M211" display="inline"><mml:mo>∅</mml:mo></mml:math></inline-formula> 50 mm electrothermal melt tip of Nizery (1951) achieved a forward melting heat transfer efficiency of <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">55</mml:mn></mml:mrow></mml:math></inline-formula> % and penetration rates of up to 25 <inline-formula><mml:math id="M213" 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">h</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> under field conditions, albeit in temperate ice (Talalay, 2019). This highlights the fact that there is clearly substantial space for improving the efficiency of our melt tip.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F25"><?xmltex \currentcnt{25}?><?xmltex \def\figurename{Figure}?><label>Figure 25</label><caption><p id="d1e3671">Rate of penetration as dependent on melt-tip diameter
and power. Circles denote statistics compiled for <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">46</mml:mn></mml:mrow></mml:math></inline-formula>
electrothermal ice-drilling systems by Talalay (2019). Squares denote our
melt-tip performance under both laboratory and field conditions described
here.</p></caption>
        <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://gi.copernicus.org/articles/12/121/2023/gi-12-121-2023-f25.png"/>

      </fig>

      <p id="d1e3693">In the future, we also envision moving towards an integrated umbilical cable
and developing an autonomous drilling feedback loop, whereby winch pay-out
varies as a function of winch load. We are also developing ideas about
suitable chemical agents to counter borehole refreezing (Zotikov, 1979;
Zagorodnov et al., 1994; Hills et al., 2020). In the near term, however, we
hope to use the ice-drilling system, as described here, to insert 100 m
scale thermistor strings into the Greenland Ice Sheet and/or peripheral ice
caps. There are many places in Greenland, located far from existing
temperature measurements, where a borehole in relatively thin and slow-flowing ice would yield novel insight about ice–bed temperature and
geothermal heat flow. While we will continue to optimize the drill system,
our melt-tip ice-drilling efforts are now transitioning from a development
phase, in which the goals have been largely engineering, into an operational
phase, in which the goals are largely scientific.</p>
</sec>

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

      <p id="d1e3700">All source files for the ice-drilling system, including (1) design files for the winch, (2) machining files for the melt tip, (3) design files for the internal melt-tip electronics and instruments, (4) software codes for the interface, and (5) numerical codes for borehole refreezing simulations, are available from the GEUS Dataverse at  <ext-link xlink:href="https://doi.org/10.22008/FK2/DXXR06" ext-link-type="DOI">10.22008/FK2/DXXR06</ext-link> (Colgan et al., 2022).</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3710">WC is the lead scientist of the Hotrod drilling system. CS is the lead engineer of the Hotrod drilling system. AØP and KM primarily contributed to the design of the melt tip, umbilical cord, and power supply. APL and JE primarily contributed to the design of the winch. HR formulated and implemented the two-phase moving boundary heat transfer model. MJ and MB completed individual theses on various aspects of the project. PT, XF,
YL, and XW were responsible for laboratory testing in the ice well at
Jilin University. WC and CS were responsible for field testing at Tuto
Ramp, Greenland, with support from HS. NBK performed radar analysis and
co-supervised MB.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3716">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3722">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3729">We thank Jens Bisgaard (GEUS) for metalworking. We thank Dirk van As (Greenland Guidance) and Victor Zagorodnov (Cryosphere Research Solutions) for technical expertise consulting on various aspects of the project. We thank Jack Brandis, Thorbjørn Flegal, and Ferando Sevilla (all Copenhagen School of Design and Technology) for insights from a group thesis, completed along with Morten Jensen, on melt-tip optimization. We thank Jørgen Peder Steffensen (University of Copenhagen) and Henrik Højmark Thomsen (GEUS) for collegial discussions on various aspects of ice drilling. We thank Kris Zacny (Honeybee Robotics) and two other anonymous reviewers for reviewing this paper. Finally, we thank Andrew Wickert (University of Minnesota) for serving as the scientific editor for this paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3734">This research received funding from the Experiment Programme of the Villum Foundation (award 00022885) for the development of the Hotrod melt-tip ice-drilling system.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3740">This paper was edited by Andrew Wickert and reviewed by Kris Zacny and two anonymous referees.</p>
  </notes><ref-list>
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