<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2020000300283</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.66.283</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Fractal model equation for spontaneous imbibition]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Samayoa]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ochoa-Ontiveros]]></surname>
<given-names><![CDATA[L. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Damián-Adame]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Reyes de Luna]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Álvarez-Romero]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Romero-Paredes]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Politécnico Nacional ESIME SEPI]]></institution>
<addr-line><![CDATA[CDMX ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Politécnico Nacional Centro de Investigación y de Estudios Avanzados Departamento de Ingeniería Eléctrica]]></institution>
<addr-line><![CDATA[CDMX ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<volume>66</volume>
<numero>3</numero>
<fpage>283</fpage>
<lpage>290</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2020000300283&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2020000300283&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2020000300283&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract A new analytic model of fractal imbibition in porous media is derived. The topological Hausdorff dimension is used as a fractal parameter in the proposed model. The fractal formulation is based on the model introduced by Li and Zhao [Transp. Porous Media, 91 (2012) 363] to predict the production rate by spontaneous imbibition. Cantor Tartans and Menger sponge fractals are used to simulate fractal porous media with different ramifications. Results of illustrative examples are presented in the form of a set of curves, which reveal the features of enhanced oil recovery of the model under consideration. The results are compared with the experimental behaviour found on core samples of previous publications.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Un nuevo modelo analítico de imbibición fractal en medios porosos es deducido. La dimensión topológica de Hausdorff es usada como un parámetro fractal en el modelo propuesto. La formulación fractal se basa en el modelo presentado por Li y Zhao [Transp. Porous Media, 91 (2012) 363] para predecir la tasa de producción por imbibición espontánea. Los fractales Asfalto de Cantor y la Esponja de Menger son usados para simular medios porosos fractales con diferentes ramificaciones. Los resultados de los ejemplos ilustrativos se presentan en forma de un conjunto de curvas, que revelan las características de la recuperación mejorada de petróleo del modelo en consideración. Los resultados se comparan con el comportamiento experimental encontrado en muestras de núcleos de publicaciones previas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Topological Hausdorff dimension]]></kwd>
<kwd lng="en"><![CDATA[spontaneous imbibition]]></kwd>
<kwd lng="en"><![CDATA[Cantor tartan]]></kwd>
<kwd lng="en"><![CDATA[Menger sponge]]></kwd>
<kwd lng="en"><![CDATA[03.75.-b]]></kwd>
<kwd lng="en"><![CDATA[03.75.Dg]]></kwd>
<kwd lng="en"><![CDATA[67.85.-d]]></kwd>
<kwd lng="en"><![CDATA[02.70.-c]]></kwd>
<kwd lng="es"><![CDATA[Dimensión topológica de Hausdorff]]></kwd>
<kwd lng="es"><![CDATA[imbibición espontánea]]></kwd>
<kwd lng="es"><![CDATA[asfalto de Cantor]]></kwd>
<kwd lng="es"><![CDATA[esponja de Menger]]></kwd>
</kwd-group>
</article-meta>
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