<?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>0016-7169</journal-id>
<journal-title><![CDATA[Geofísica internacional]]></journal-title>
<abbrev-journal-title><![CDATA[Geofís. Intl]]></abbrev-journal-title>
<issn>0016-7169</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Geofísica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0016-71692022000400325</article-id>
<article-id pub-id-type="doi">10.22201/igeof.00167169p.2022.61.4.2203</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Modelling of Residual Gravity Data due to a Near Surface Dyke Structure Using Damped SVD and Marquardt Inverse Methods]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Eshaghzadeh]]></surname>
<given-names><![CDATA[Ata]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hajian]]></surname>
<given-names><![CDATA[Alireza]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Isfahan Faculty of Sciences Department of Geology]]></institution>
<addr-line><![CDATA[Isfahan ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Islamic Azad University Najafabad Branch Department of physics]]></institution>
<addr-line><![CDATA[Najafabad ]]></addr-line>
<country>Iran</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>61</volume>
<numero>4</numero>
<fpage>325</fpage>
<lpage>350</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0016-71692022000400325&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0016-71692022000400325&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0016-71692022000400325&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this paper, two inverse modeling methods based on the damped singular value decomposition (DSVD) as a linear inverter and Marquardt optimization algorithm as a nonlinear inverter are described. The damped SVD solve the ill-posed problems and specify the subsurface density contribution directly. The Marquardt inversion estimate the model parameters. The efficiency of the both methods is investigated using the synthetic gravity data, with and without random noise, as the acceptable results attained. The introduced approaches are employed for the interpretation of a real gravity data set from Iran. The gravity causative mass in the study area are almost the magmatic deposit with a high percent of the Manganese dioxide where there have penetrated inside of the fractures and have approximately formed the tabular structures. The inverted structures from the both methods are almost corresponding. The evaluated width, extension and depth to the top and bottom for the buried structure via the damped SVD technique are 15 m, 22 m, 7.5 m and 25 m, respectively and by the Marquardt's algorithm are 15.8 m, 20.3 m, 9.4 m and 21.9 m, respectively. The simulated source has a trend NW-SE with a dip of 38.04 degree.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo, se describen dos métodos de modelado inverso basados en la descomposición de valor singular amortiguado (DSVD) como inversor lineal y el algoritmo de optimización de Marquardt como inversor no lineal. El SVD amortiguado resuelve los problemas mal planteados y especifica directamente la contribución de la densidad de la superficie inferior. La inversión de Marquardt estima los parámetros del modelo. La eficiencia de ambos métodos se investiga utilizando los datos de gravedad sintéticos, con y sin ruido aleatorio, según se obtengan los resultados aceptables. Los enfoques introducidos se emplean para la interpretación de un conjunto de datos de gravedad real de Irán. La masa causante de la gravedad en el área de estudio son casi el depósito magmático con un alto porcentaje de dióxido de manganeso donde han penetrado dentro de las fracturas y aproximadamente se han formado las estructuras tabulares. Las estructuras invertidas de ambos métodos son casi correspondientes. El ancho, la extensión y la profundidad evaluados hasta la parte superior e inferior de la estructura enterrada mediante la técnica SVD amortiguada son 15 m, 22 m, 7.5 m y 25 m, respectivamente, y según el algoritmo de Marquardt son 15.8 m, 20.3 m, 9.4 m y 21.9 m, respectivamente. La fuente simulada tiene una tendencia NW-SE con una caída de 38,04 grados.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[damped singular value decomposition (DSVD)]]></kwd>
<kwd lng="en"><![CDATA[gravity and Marquardt]]></kwd>
<kwd lng="es"><![CDATA[descomposición amortiguada en valor singular]]></kwd>
<kwd lng="es"><![CDATA[gravedad y Marquardt]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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