<?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-03293561</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="2026-05-15T18:11:49+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Moving Multi-Front (MMF): A generalized Green-Ampt approach for vertical unsaturated flows</title>
            <author role="aut">
              <persName>
                <forename type="first">Khalil</forename>
                <surname>Alastal</surname>
              </persName>
              <email type="md5">b1bca7ac15b70d48874079b1fce222c4</email>
              <email type="domain">iugaza.edu.ps</email>
              <idno type="idhal" notation="numeric">1294391</idno>
              <idno type="halauthorid" notation="string">922176-1294391</idno>
              <idno type="IDREF">https://www.idref.fr/163843899</idno>
              <idno type="ORCID">https://orcid.org/0009-0008-2648-6076</idno>
              <affiliation ref="#struct-690"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Rachid</forename>
                <surname>Ababou</surname>
              </persName>
              <email type="md5">d0381b2a108898aafe3513127c540f44</email>
              <email type="domain">imft.fr</email>
              <idno type="idhal" notation="string">rachid-ababou</idno>
              <idno type="idhal" notation="numeric">1121050</idno>
              <idno type="halauthorid" notation="string">1078876-1121050</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-2767-5238</idno>
              <idno type="IDREF">https://www.idref.fr/058486615</idno>
              <affiliation ref="#struct-690"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Open Archive Toulouse Archive Ouverte</forename>
                <surname>(OATAO)</surname>
              </persName>
              <email type="md5">ac3f71840d50da799c1bb19c7b808bac</email>
              <email type="domain">listes-diff.inp-toulouse.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2021-07-21 10:27:59</date>
              <date type="whenModified">2025-10-22 18:04:08</date>
              <date type="whenReleased">2021-07-21 10:39:52</date>
              <date type="whenProduced">2019</date>
              <date type="whenEndEmbargoed">2021-07-21</date>
              <ref type="file" target="https://hal.science/hal-03293561v1/document">
                <date notBefore="2021-07-21"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-03293561v1/file/Alastal_28140.pdf" id="file-3293561-2893639">
                <date notBefore="2021-07-21"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="146910">
                <persName>
                  <forename>Open Archive Toulouse Archive Ouverte</forename>
                  <surname>(OATAO)</surname>
                </persName>
                <email type="md5">ac3f71840d50da799c1bb19c7b808bac</email>
                <email type="domain">listes-diff.inp-toulouse.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-03293561</idno>
            <idno type="halUri">https://hal.science/hal-03293561</idno>
            <idno type="halBibtex">alastal:hal-03293561</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Hydrology&lt;/i&gt;, 2019, 579, pp.124184. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.jhydrol.2019.124184"&gt;&amp;#x27E8;10.1016/j.jhydrol.2019.124184&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Hydrology, 2019, 579, pp.124184. &amp;#x27E8;10.1016/j.jhydrol.2019.124184&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-3293561-2893639"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TLSE3">Université de Toulouse</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="GIP-BE">GIP Bretagne Environnement</idno>
            <idno type="stamp" n="IMFT">Institut mécanique des fluides de Toulouse</idno>
            <idno type="stamp" n="TOULOUSE-INP">Toulouse - INP</idno>
            <idno type="stamp" n="UNIV-UT3">Université Toulouse 3</idno>
            <idno type="stamp" n="UT3-INP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="UT3-TOULOUSEINP">Université de Toulouse / Toulouse INP</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">Moving Multi-Front (MMF): A generalized Green-Ampt approach for vertical unsaturated flows</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Khalil</forename>
                    <surname>Alastal</surname>
                  </persName>
                  <email type="md5">b1bca7ac15b70d48874079b1fce222c4</email>
                  <email type="domain">iugaza.edu.ps</email>
                  <idno type="idhal" notation="numeric">1294391</idno>
                  <idno type="halauthorid" notation="string">922176-1294391</idno>
                  <idno type="IDREF">https://www.idref.fr/163843899</idno>
                  <idno type="ORCID">https://orcid.org/0009-0008-2648-6076</idno>
                  <affiliation ref="#struct-690"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Rachid</forename>
                    <surname>Ababou</surname>
                  </persName>
                  <email type="md5">d0381b2a108898aafe3513127c540f44</email>
                  <email type="domain">imft.fr</email>
                  <idno type="idhal" notation="string">rachid-ababou</idno>
                  <idno type="idhal" notation="numeric">1121050</idno>
                  <idno type="halauthorid" notation="string">1078876-1121050</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-2767-5238</idno>
                  <idno type="IDREF">https://www.idref.fr/058486615</idno>
                  <affiliation ref="#struct-690"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">15595</idno>
                <idno type="issn">0022-1694</idno>
                <idno type="eissn">1879-2707</idno>
                <title level="j">Journal of Hydrology</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">579</biblScope>
                  <biblScope unit="pp">124184</biblScope>
                  <date type="datePub">2019</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.jhydrol.2019.124184</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Nonlinear ODE system</term>
                <term xml:lang="en">Infiltration</term>
                <term xml:lang="en">Unsaturated flow</term>
                <term xml:lang="en">Richards equation</term>
                <term xml:lang="en">Green-Ampt model</term>
                <term xml:lang="en">Moving Multi-Front model</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.meca.mefl">Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]</classCode>
              <classCode scheme="halDomain" n="sdu.stu.hy">Sciences of the Universe [physics]/Earth Sciences/Hydrology</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>A Moving Multi-Front (MMF) method is developed and tested for solving the Richards equation governing unsaturated flow in vertical homogeneous porous columns. The MMF model is a gridless method. It can be viewed as a generalization of the Green-Ampt piston flow approach, which models flow as a single abrupt moving front separating saturated and dry regions during infiltration. The MMF model further generalizes this concept, using a parametrization of unsaturated water retention and conductivity-pressure curves. It reduces the Richards PDE to an ODE system governing “M” moving front positions. Different tests are developed to validate this approach for 1D transient downwards/upwards flows submitted to constant and time-varying pressure boundary conditions. They include: (i) infiltration to deep water tables; (ii) infiltration to shallow water tables; (iii) capillary rise from fixed water tables; (iv) gradual water table rise (partially saturated column with evolving pressure condition at bottom). The MMF results are compared favorably to finely discretized fixed grid solutions of Richards PDE. Analyses of error and accuracy show satisfactory results in terms of water content profiles and boundary fluxes (e.g. infiltration rate).</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-690" status="OLD">
          <idno type="IdRef">058487387</idno>
          <idno type="ISNI">0000 0004 0614 3424</idno>
          <idno type="RNSR">199511946L</idno>
          <idno type="ROR">https://ror.org/025nmxp11</idno>
          <orgName>Institut de mécanique des fluides de Toulouse</orgName>
          <orgName type="acronym">IMFT</orgName>
          <date type="start">1930-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>Allée du Professeur Camille Soula31400 ToulouseFrance</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.imft.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-217752" type="direct"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation name="UMR5502" active="#struct-441569" type="direct"/>
            <relation active="#struct-448187" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-217752" status="OLD">
          <idno type="IdRef">026404672</idno>
          <idno type="ISNI">0000000121617331</idno>
          <idno type="ROR">https://ror.org/02v6kpv12</idno>
          <idno type="Wikidata">Q1273188</idno>
          <orgName>Université Toulouse III - Paul Sabatier</orgName>
          <orgName type="acronym">UT3</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse3.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-443875" status="VALID">
          <idno type="ROR">https://ror.org/017tgbk05</idno>
          <orgName>Communauté d'universités et établissements de Toulouse</orgName>
          <orgName type="acronym">Comue de Toulouse</orgName>
          <desc>
            <address>
              <addrLine>41 Allée Jules Guesde, 31000 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-toulouse.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="institution" xml:id="struct-448187" status="VALID">
          <idno type="IdRef">026388820</idno>
          <idno type="ISNI">0000000121766169</idno>
          <idno type="ROR">https://ror.org/033p9g875</idno>
          <orgName>Institut National Polytechnique (Toulouse)</orgName>
          <orgName type="acronym">Toulouse INP</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.inp-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>