<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332011000100006</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Uso de un autómata celular para crear un modelo de difusión de contaminantes en un sistema suelo-agua]]></article-title>
<article-title xml:lang="en"><![CDATA[Creation of a model of pollutans diffusion in soil-water system using a cellular automata]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Merino-Castro]]></surname>
<given-names><![CDATA[Glicina]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Tecnológico de Monterrey Escuela de Ingeniería y Arquitectura ]]></institution>
<addr-line><![CDATA[Toluca ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2011</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2011</year>
</pub-date>
<volume>18</volume>
<numero>1</numero>
<fpage>63</fpage>
<lpage>76</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332011000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332011000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332011000100006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo se presenta el desarrollo de un modelo de difusión de contaminantes en un sistema suelo-agua bajo condiciones específicas de un medio real en estudio. El propósito de dicho modelo es permitir la observación del flujo del contaminante en el sistema suelo-agua y su comportamiento al interactuar con los diferentes elementos del sistema con la finalidad de orientar y apoyar los procesos y la aplicación de las técnicas de recuperación de suelos y aguas contaminadas. Las condiciones básicas para el diseño del modelo son: 1) El contaminante es introducido en el suelo. 2) El contaminante fluye del suelo al agua. 3) La concentración del contaminante introducido es variable durante el proceso. 4) El contaminante puede llegar a saturar el suelo. 5) El contaminante es adsorbido por el suelo. 6) El modelo se realiza en 2D, con posibilidad de extenderlo a 3D. El modelo utiliza un autómata celular, el cual contiene diferentes zonas con sus propias reglas de funcionamiento. Se consideran cuatro zonas en el modelo: i) Zona de introducción del contaminante. ii) Zona del suelo (un medio poroso). iii) Zona de interrelación del suelo-agua. iv) Zona del agua.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this paper is presented a developed model for a pollutant diffusion in a soil-water system, for specific conditions in a real study area. A model that allows the observations of the pollutant flow in the soil-water system and its behavior and interaction with the different system elements, is searched with the purpose of orientate and support the processes and techniques application for the pollutant soil and water remediation. The basic model conditions are: 1) The pollutant is introduced to the soil. 2) The pollutant flows from the soil to the water. 3) The introduced pollutant concentration is variable during the process. 4) The pollutant may saturate the soil. 5) The pollutant is adsorbed by the soil. 6) The model is developed in 2D, with the possibility to be expanded to 3D. The model uses a cellular automata that contains different zones with their own function rules. There are four considerate zones: i) Introduction of the pollutant zone. ii) Soil zone (a porous media). iii) Soil-water interaction zone. iv) Water zone.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[autómata celular]]></kwd>
<kwd lng="es"><![CDATA[difusión de contaminantes]]></kwd>
<kwd lng="es"><![CDATA[sistema suelo-agua]]></kwd>
<kwd lng="es"><![CDATA[medio poroso]]></kwd>
<kwd lng="en"><![CDATA[cellular automata]]></kwd>
<kwd lng="en"><![CDATA[pollutant diffusion]]></kwd>
<kwd lng="en"><![CDATA[soil-water system]]></kwd>
<kwd lng="en"><![CDATA[porous media]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <div style="text-align: center;"><font style="font-weight: bold;"  size="4"><span style="font-family: verdana;">Uso de un aut&oacute;mata celular para crear un modelo de difusi&oacute;n de contaminantes en un&nbsp; sistema suelo&#8211;agua</span></font>    <br> <br style="font-family: verdana; font-weight: bold;"> <font style="font-weight: bold;" size="4"><span  style="font-family: verdana;">Creation of a model of pollutans diffusion in soil-water system using a cellular automata</span></font><br style="font-family: verdana;"> </div> <font size="2"><br style="font-family: verdana;"> </font>     <div style="text-align: justify;"><font size="2"><span  style="font-family: verdana;">Glicina Merino&#8211;Castro<sup><a  href="#autor1">*</a></sup></span></font>    <br> </div> <font size="2"><br style="font-family: verdana;"> <span style="font-family: verdana;"><a name="autor1"></a>*Escuela de Ingenier&iacute;a y Arquitectura, Tecnol&oacute;gico de Monterrey, Campus Toluca, Toluca, M&acute;exico. E-Mail: <a  href="mailto:merino@itesm.mx">merino@itesm.mx</a>    <br>     <br> <a href="#correspondencia">Direcci&oacute;n para correspondencia</a>    <br> </span><br style="font-family: verdana;"> <font size="3"><span style="font-family: verdana; font-weight: bold;"></span></font></font> <hr style="width: 100%; height: 2px;">     <div style="text-align: justify;"><font size="2"><font size="3"><span  style="font-family: verdana; font-weight: bold;">Resumen</span></font></font>    <br> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">En este trabajo se presenta el desarrollo de un modelo de difusi&oacute;n de contaminantes&nbsp; en un sistema suelo-agua bajo condiciones espec&iacute;ficas de un medio real en estudio. El&nbsp; prop&oacute;sito de dicho modelo es permitir la observaci&oacute;n del flujo del contaminante en el&nbsp; sistema suelo-agua y su comportamiento al interactuar con los diferentes elementos del sistema con la finalidad de orientar y apoyar los procesos y la aplicaci&oacute;n de las&nbsp; t&eacute;cnicas de recuperaci&oacute;n de suelos y aguas contaminadas. Las condiciones b&aacute;sicas&nbsp; para el dise&ntilde;o del modelo son: 1) El contaminante es introducido en el suelo. 2) El&nbsp; contaminante fluye del suelo al agua. 3) La concentraci&oacute;n del contaminante introducido es variable durante el proceso. 4) El contaminante puede llegar a saturar el suelo. 5)&nbsp; El contaminante es adsorbido por el suelo. 6) El modelo se realiza en 2D, con&nbsp; posibilidad de extenderlo a 3D. El modelo utiliza un aut&oacute;mata celular, el cual contiene&nbsp;&nbsp; diferentes zonas con sus propias reglas de funcionamiento. Se consideran cuatro zonas en el modelo: i) Zona de introducci&oacute;n del contaminante. ii) Zona del suelo (un medio&nbsp; poroso). iii) Zona de interrelaci&oacute;n del suelo-agua. iv) Zona del agua.</span></font>    <br> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;"><span  style="font-weight: bold;">Palabras clave:</span> aut&oacute;mata celular, difusi&oacute;n de contaminantes, sistema suelo-agua,&nbsp; medio poroso.</span></font>    ]]></body>
<body><![CDATA[<br>     <br> <font size="2"><font size="3"><span  style="font-family: verdana; font-weight: bold;">Abstract</span></font></font>    <br> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">In this paper is presented a developed model for a pollutant diffusion in a soil-water&nbsp; system, for specific conditions in a real study area. A model that allows the&nbsp; observations of the pollutant flow in the soil-water system and its behavior and&nbsp; interaction with the different system elements, is searched with the purpose of&nbsp; orientate and support the processes and techniques application for the pollutant soil&nbsp; and water remediation. The basic model conditions are: 1) The pollutant is introduced&nbsp; to the soil. 2) The pollutant flows from the soil to the water. 3) The introduced&nbsp; pollutant concentration is variable during the process. 4) The pollutant may saturate&nbsp; the soil. 5) The pollutant is adsorbed by the soil. 6) The model is developed in 2D, with&nbsp; the possibility to be expanded to 3D. The model uses a cellular automata that contains&nbsp; different zones with their own function rules. There are four considerate zones: i)&nbsp; Introduction of the pollutant zone. ii) Soil zone (a porous media). iii) Soil-water&nbsp; interaction zone. iv) Water zone.</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;"><span  style="font-weight: bold;">Keywords:</span> cellular automata, pollutant diffusion, soil-water system, porous media.</span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;"><span  style="font-weight: bold;">Mathematics Subject Classification:</span> 68U20.    <br>     <br> </span></font> <hr style="width: 100%; height: 2px;"><font size="2"><span  style="font-family: verdana;">Ver contenido disponible en pdf</span></font><font  size="2"><span style="font-family: verdana;"><br  style="font-family: verdana;"> </span></font><font size="2"><font size="3"><span  style="font-family: verdana; font-weight: bold;"></span></font></font></div>     <div style="text-align: justify;"><font size="2"><font size="3"><span  style="font-family: verdana; font-weight: bold;"></span></font></font> <hr style="width: 100%; height: 2px;"><font size="2"><font size="3"><span  style="font-family: verdana; font-weight: bold;">Referencias    <br>     <!-- ref --><br> </span></font></font><span style="font-family: verdana;"><font size="2"><span  style="font-family: verdana;">[1] Chopard, B.; Droz, M. 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(1996) &#8220;Fractal parameters of soil pore surface area under a developing crop&#8221;, Fractals 4(1): 97&#8211;104.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1944556&pid=S1409-2433201100010000600018&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[19] Efendiev, Y.; Durlofsky, L.J. (2003) &#8220;A generalizad convectiondiffusion model for subgrid transport in porous media&#8221;, SIAM Multiscale Modeling and Simulation 1(3): 504&#8211;526.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1944557&pid=S1409-2433201100010000600019&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></span></font><br  style="font-family: verdana;"> </font></span></div> <span style="font-family: verdana;"><font size="2"><font size="2"><span  style="font-family: verdana;">    <br>     ]]></body>
<body><![CDATA[<br> </span></font></font></span>     <div style="text-align: left;"><span style="font-family: verdana;"><font  size="2"><font size="2"><span style="font-family: verdana;"><a  name="correspondencia"></a>Correspondencia a: </span></font></font></span><font size="2"><font size="2"><span  style="font-family: verdana;">Glicina Merino&#8211;Castro. </span></font><font  size="2"><span style="font-family: verdana;">Escuela de Ingenier&iacute;a y Arquitectura, Tecnol&oacute;gico de Monterrey, Campus Toluca, Toluca, M&eacute;xico. E-Mail: <a  href="mailto:merino@itesm.mx">merino@itesm.mx</a></span></font><br  style="font-family: verdana;"> </font></div> <font size="2"><font size="2"><span style="font-family: verdana;"></span></font> </font> <hr style="width: 100%; height: 2px;">     <div style="text-align: center;"><font size="2"><font size="2"><span  style="font-family: verdana;">Received: 18 Feb 2010; Revised: 18 Nov 2010; Accepted: 26 Nov 2010</span></font><br  style="font-family: verdana;"> </font></div> <font size="2"><font size="2"><br style="font-family: verdana;">     <br>     <br> </font> </font>      ]]></body><back>
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