<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00946083</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-19T19:58:07+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Darcy's law for yield stress fluid flowing through a porous medium</title>
            <author role="aut">
              <persName>
                <forename type="first">Thibaud</forename>
                <surname>Chevalier</surname>
              </persName>
              <idno type="idhal" notation="numeric">760556</idno>
              <idno type="halauthorid" notation="string">363405-760556</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8658-3694</idno>
              <affiliation ref="#struct-204904"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Christophe</forename>
                <surname>Chevalier</surname>
              </persName>
              <email type="md5">d4b38964d56328fef04420e8bf0cde8a</email>
              <email type="domain">univ-eiffel.fr</email>
              <ptr type="url" target="https://pagespro.univ-gustave-eiffel.fr/christophe-chevalier"/>
              <idno type="idhal" notation="string">cchevalierhal</idno>
              <idno type="idhal" notation="numeric">1280812</idno>
              <idno type="halauthorid" notation="string">50661-1280812</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-9278-8565</idno>
              <orgName ref="#struct-222110"/>
              <affiliation ref="#struct-221992"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Xavier</forename>
                <surname>Clain</surname>
              </persName>
              <idno type="idhal" notation="numeric">764056</idno>
              <idno type="halauthorid" notation="string">548807-764056</idno>
              <idno type="IDREF">https://www.idref.fr/151210659</idno>
              <affiliation ref="#struct-204904"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean Claude</forename>
                <surname>Dupla</surname>
              </persName>
              <email type="md5">1d3c4160af1468f7abf50f7295e10ade</email>
              <email type="domain">enpc.fr</email>
              <idno type="idhal" notation="string">jean-claude-dupla</idno>
              <idno type="idhal" notation="numeric">10557</idno>
              <idno type="halauthorid" notation="string">4234-10557</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/A-6337-2019</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-7042-7390</idno>
              <idno type="IDREF">https://www.idref.fr/132099152</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/A-6337-2019</idno>
              <orgName ref="#struct-301545"/>
              <affiliation ref="#struct-204904"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean</forename>
                <surname>Canou</surname>
              </persName>
              <email type="md5">de5f547d9918f456ff452eb9797cfb40</email>
              <email type="domain">enpc.fr</email>
              <idno type="idhal" notation="string">jean-canou</idno>
              <idno type="idhal" notation="numeric">171616</idno>
              <idno type="halauthorid" notation="string">22100-171616</idno>
              <idno type="IDREF">https://www.idref.fr/11395915X</idno>
              <affiliation ref="#struct-204904"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Stéphane</forename>
                <surname>Rodts</surname>
              </persName>
              <email type="md5">5c7736d1be7b85d19bd978c2a61d9f06</email>
              <email type="domain">ifsttar.fr</email>
              <idno type="idhal" notation="string">stephane-rodts</idno>
              <idno type="idhal" notation="numeric">2973</idno>
              <idno type="halauthorid" notation="string">14608-2973</idno>
              <idno type="IDREF">https://www.idref.fr/203221281</idno>
              <affiliation ref="#struct-204904"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Philippe</forename>
                <surname>Coussot</surname>
              </persName>
              <email type="md5">430a2fe53a80f894937674a8752a3715</email>
              <email type="domain">univ-eiffel.fr</email>
              <idno type="idhal" notation="numeric">1101142</idno>
              <idno type="halauthorid" notation="string">2222827-1101142</idno>
              <orgName ref="#struct-301545"/>
              <affiliation ref="#struct-388609"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Ist</forename>
                <surname>Enpc</surname>
              </persName>
              <email type="md5">0a4c3ed0ccf33804cb0febbf879ad346</email>
              <email type="domain">yahoo.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2018-05-03 19:26:35</date>
              <date type="whenModified">2025-10-09 03:22:36</date>
              <date type="whenReleased">2018-05-22 13:26:42</date>
              <date type="whenProduced">2013</date>
              <date type="whenEndEmbargoed">2018-05-03</date>
              <ref type="file" target="https://enpc.hal.science/hal-00946083v1/document">
                <date notBefore="2018-05-03"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://enpc.hal.science/hal-00946083v1/file/Article%2017.pdf" id="file-1784881-1813214">
                <date notBefore="2018-05-03"/>
              </ref>
              <ref type="externalLink" target="https://hal-enpc.archives-ouvertes.fr/hal-00946083/file/Article%2017.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="173110">
                <persName>
                  <forename>Ist</forename>
                  <surname>Enpc</surname>
                </persName>
                <email type="md5">0a4c3ed0ccf33804cb0febbf879ad346</email>
                <email type="domain">yahoo.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00946083</idno>
            <idno type="halUri">https://enpc.hal.science/hal-00946083</idno>
            <idno type="halBibtex">chevalier:hal-00946083</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Non-Newtonian Fluid Mechanics&lt;/i&gt;, 2013, 195 (-), pp.57-66. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.jnnfm.2012.12.005"&gt;&amp;#x27E8;10.1016/j.jnnfm.2012.12.005&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Non-Newtonian Fluid Mechanics, 2013, 195 (-), pp.57-66. &amp;#x27E8;10.1016/j.jnnfm.2012.12.005&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1784881-1813214"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENPC" corresp="PARISTECH">École nationale des ponts et chaussées </idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UR-NAVIER" corresp="ENPC">Laboratoire Navier</idno>
            <idno type="stamp" n="NAVIER-GEOTECHNIQUE" corresp="UR-NAVIER">Géotechnique</idno>
            <idno type="stamp" n="NAVIER-POREUX" corresp="UR-NAVIER">Milieux poreux</idno>
            <idno type="stamp" n="PARISTECH">ParisTech</idno>
            <idno type="stamp" n="IFSTTAR">Ifsttar</idno>
            <idno type="stamp" n="UNIV-EIFFEL">Université Gustave Eiffel</idno>
            <idno type="stamp" n="IFSTTAR-UNIVEIFFEL">Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux</idno>
            <idno type="stamp" n="GERS">Géotechnique, environnement, risques naturels et sciences de la terre</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Darcy's law for yield stress fluid flowing through a porous medium</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Thibaud</forename>
                    <surname>Chevalier</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">760556</idno>
                  <idno type="halauthorid" notation="string">363405-760556</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8658-3694</idno>
                  <affiliation ref="#struct-204904"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Christophe</forename>
                    <surname>Chevalier</surname>
                  </persName>
                  <email type="md5">d4b38964d56328fef04420e8bf0cde8a</email>
                  <email type="domain">univ-eiffel.fr</email>
                  <ptr type="url" target="https://pagespro.univ-gustave-eiffel.fr/christophe-chevalier"/>
                  <idno type="idhal" notation="string">cchevalierhal</idno>
                  <idno type="idhal" notation="numeric">1280812</idno>
                  <idno type="halauthorid" notation="string">50661-1280812</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-9278-8565</idno>
                  <orgName ref="#struct-222110"/>
                  <affiliation ref="#struct-221992"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Xavier</forename>
                    <surname>Clain</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">764056</idno>
                  <idno type="halauthorid" notation="string">548807-764056</idno>
                  <idno type="IDREF">https://www.idref.fr/151210659</idno>
                  <affiliation ref="#struct-204904"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean Claude</forename>
                    <surname>Dupla</surname>
                  </persName>
                  <email type="md5">1d3c4160af1468f7abf50f7295e10ade</email>
                  <email type="domain">enpc.fr</email>
                  <idno type="idhal" notation="string">jean-claude-dupla</idno>
                  <idno type="idhal" notation="numeric">10557</idno>
                  <idno type="halauthorid" notation="string">4234-10557</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/A-6337-2019</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-7042-7390</idno>
                  <idno type="IDREF">https://www.idref.fr/132099152</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/A-6337-2019</idno>
                  <orgName ref="#struct-301545"/>
                  <affiliation ref="#struct-204904"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean</forename>
                    <surname>Canou</surname>
                  </persName>
                  <email type="md5">de5f547d9918f456ff452eb9797cfb40</email>
                  <email type="domain">enpc.fr</email>
                  <idno type="idhal" notation="string">jean-canou</idno>
                  <idno type="idhal" notation="numeric">171616</idno>
                  <idno type="halauthorid" notation="string">22100-171616</idno>
                  <idno type="IDREF">https://www.idref.fr/11395915X</idno>
                  <affiliation ref="#struct-204904"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Stéphane</forename>
                    <surname>Rodts</surname>
                  </persName>
                  <email type="md5">5c7736d1be7b85d19bd978c2a61d9f06</email>
                  <email type="domain">ifsttar.fr</email>
                  <idno type="idhal" notation="string">stephane-rodts</idno>
                  <idno type="idhal" notation="numeric">2973</idno>
                  <idno type="halauthorid" notation="string">14608-2973</idno>
                  <idno type="IDREF">https://www.idref.fr/203221281</idno>
                  <affiliation ref="#struct-204904"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Philippe</forename>
                    <surname>Coussot</surname>
                  </persName>
                  <email type="md5">430a2fe53a80f894937674a8752a3715</email>
                  <email type="domain">univ-eiffel.fr</email>
                  <idno type="idhal" notation="numeric">1101142</idno>
                  <idno type="halauthorid" notation="string">2222827-1101142</idno>
                  <orgName ref="#struct-301545"/>
                  <affiliation ref="#struct-388609"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">15887</idno>
                <idno type="issn">0377-0257</idno>
                <title level="j">Journal of Non-Newtonian Fluid Mechanics</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">195</biblScope>
                  <biblScope unit="issue">-</biblScope>
                  <biblScope unit="pp">57-66</biblScope>
                  <date type="datePub">2013</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.jnnfm.2012.12.005</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi.mat">Engineering Sciences [physics]/Materials</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We measured the pressure drop vs flow rate during the flow, in a wide range of velocities, of well controlled yield stress fluids through confined packings of glass beads of different sizes. A detailed analysis of the data makes it possible to extract a general expression for the pressure drop vs flow rate curve through a porous medium as a function of the flow rate and the characteristics of the system. This general law has a form similar to the Herschel-Bulkley model describing the rheological behavior of such fluids in simple shear, i.e. it expresses as the sum of a critical (yielding) pressure drop and a flow rate dependent term. This law involves the rheological parameters of the fluid, one characteristic length of the medium, and two coefficients which only depend on the structure of the porous medium. The first coefficient is related to the path of maximum width throughout the porous medium while the second coefficient reflects the pore size distribution. The values of these coefficients were determined in the case of a granular packing. © 2012 Elsevier B.V.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-204904" status="OLD">
          <idno type="IdRef">144736829</idno>
          <idno type="RNSR">200718421X</idno>
          <orgName>Laboratoire Navier</orgName>
          <orgName type="acronym">navier umr 8205</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Ecole des Ponts ParisTech 6 / 8 avenue Blaise Pascal 77455 CHAMPS SUR MARNE</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://navier.enpc.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-222110" type="direct"/>
            <relation active="#struct-301545" type="direct"/>
            <relation name="UMR8205" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-221992" status="OLD">
          <idno type="IdRef">189821590</idno>
          <orgName>Sols, Roches et Ouvrages Géotechniques</orgName>
          <orgName type="acronym">IFSTTAR/GERS/SRO</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>14-20 Boulevard Newton - Cité Descartes, Champs sur Marne - F-77447 Marne la Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sro.ifsttar.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-222110" type="direct"/>
            <relation active="#struct-303512" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-388609" status="OLD">
          <orgName>Physique des milieux poreux</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>École des Ponts ParisTech2 allée KeplerF-77420 Champs-sur-Marne</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://navier.enpc.fr/Milieux-Poreux</ref>
          </desc>
          <listRelation>
            <relation active="#struct-204904" type="direct"/>
            <relation active="#struct-222110" type="indirect"/>
            <relation active="#struct-301545" type="indirect"/>
            <relation name="UMR8205" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-222110" status="OLD">
          <idno type="ROR">https://ror.org/02xwvzv71</idno>
          <orgName>Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux</orgName>
          <orgName type="acronym">IFSTTAR</orgName>
          <date type="start">2011-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>14-20 Boulevard Newton - Cité Descartes, Champs sur Marne - F-77447 Marne la Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ifsttar.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301545" status="OLD">
          <idno type="ROR">https://ror.org/02nwvxz07</idno>
          <orgName>École nationale des ponts et chaussées</orgName>
          <orgName type="acronym">ENPC</orgName>
          <date type="start">1747-02-14</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>École nationale des ponts et chaussées, 6-8 avenue Blaise-Pascal, Cité Descartes, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://ecoledesponts.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-303512" status="VALID">
          <orgName>Communauté Université Paris-Est</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>