<?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>2007-4026</journal-id>
<journal-title><![CDATA[Ingeniería agrícola y biosistemas]]></journal-title>
<abbrev-journal-title><![CDATA[Ing. agric. biosist.]]></abbrev-journal-title>
<issn>2007-4026</issn>
<publisher>
<publisher-name><![CDATA[Universidad Autónoma Chapingo]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-40262022000200047</article-id>
<article-id pub-id-type="doi">10.5154/r.inagbi.2022.02.020</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Parameter optimization of Green and Ampt equation using a nonlinear algorithm]]></article-title>
<article-title xml:lang="es"><![CDATA[Optimización de parámetros de la ecuación de Green y Ampt mediante un algoritmo no lineal]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Fuentes]]></surname>
<given-names><![CDATA[Sebastián]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Fuentes]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Chávez]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Querétaro Centro de Investigaciones del Agua Departamento de Ingeniería de Riego y Drenaje]]></institution>
<addr-line><![CDATA[Querétaro Querétaro]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Mexicano de Tecnología del Agua Coordinación de Riego y Drenaje ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<volume>14</volume>
<numero>2</numero>
<fpage>47</fpage>
<lpage>63</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-40262022000200047&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-40262022000200047&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-40262022000200047&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Introduction: The Richards equation or a simplification, such as the Green and Ampt equation, is mainly used to describe the flow of water in the soil. The Richards equation produces accurate results, but lacks general analytical solutions, so the Green and Ampt equation is used as an intermediate way of modeling the phenomenon by maintaining physical-mathematical bases in the representation.Objective: To optimize the parameters of saturated hydraulic conductivity and wetting front suction of the Green and Ampt equation by means of a nonlinear optimization algorithm, and to validate the solution to optimize the parameters as a function of soil textures.Methodology: The Levenberg-Marquardt algorithm was used to estimate the infiltration parameters of the Green and Ampt equation, and the initial pair of values was taken according to soil texture. Results: This model was used to calculate the hydraulic conductivity parameters at saturation and wetting front suction.Study limitations: A homogeneous soil column and a constant initial moisture content were considered for the whole column.Originality: The optimization algorithm was oriented to keep the parameter values within the range established in the textural classes.Conclusions: An optimization algorithm was implemented to estimate the parameters Ks and hf by solving the Green and Ampt equation, which included code performance review and experimental validation with infiltration tests.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Introducción: Para describir el flujo de agua en el suelo se utiliza principalmente la ecuación de Richards o una simplificación, como la ecuación de Green y Ampt. La primera produce resultados precisos, pero carece de soluciones analíticas generales, por lo cual se utiliza la ecuación de Green y Ampt como una forma intermedia de modelar el fenómeno al mantener bases físico-matemáticas en la representación.Objetivo: Optimizar los parámetros de conductividad hidráulica a saturación y la succión en el frente de humedecimiento de la ecuación de Green y Ampt mediante un algoritmo de optimización no lineal, y validar la solución para obtener la optimización de parámetros en función de las texturas de los suelos.Metodología: Se utilizó el algoritmo de Levenberg-Marquardt para estimar los parámetros de infiltración de la ecuación de Green y Ampt, y en función de la textura del suelo se tomaron el par de valores iniciales.Resultados: El modelo obtenido permitió calcular los parámetros de conductividad hidráulica a saturación y la succión en el frente de humedecimiento.Limitaciones del estudio:Se consideró una columna homogénea de suelo y un contenido de humedad inicial constante en toda la columna.Originalidad: El algoritmo de optimización se orientó para mantener los valores de los parámetros dentro del rango establecido en las clases texturales.Conclusiones: Se implementó un algoritmo de optimización para calcular los parámetros Ks y hf mediante la solución de la ecuación de Green y Ampt, la cual incluyó la revisión del funcionamiento del código y la validación experimental con pruebas de infiltración.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[infiltration]]></kwd>
<kwd lng="en"><![CDATA[saturated hydraulic conductivity]]></kwd>
<kwd lng="en"><![CDATA[wetting front suction]]></kwd>
<kwd lng="en"><![CDATA[Levenberg Marquardt algorithm]]></kwd>
<kwd lng="en"><![CDATA[soil texture]]></kwd>
<kwd lng="es"><![CDATA[infiltración]]></kwd>
<kwd lng="es"><![CDATA[conductividad hidráulica a saturación]]></kwd>
<kwd lng="es"><![CDATA[succión en el frente de humedecimiento]]></kwd>
<kwd lng="es"><![CDATA[algoritmo Levenberg Marquardt]]></kwd>
<kwd lng="es"><![CDATA[textura del suelo]]></kwd>
</kwd-group>
</article-meta>
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