<?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>S0016-71692005000300241</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Multiphase flow reconstruction in oil pipelines by capacitance tomography using simulated annealing]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martin]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ortiz-Alemán]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Castellanos]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Mexicano del Petróleo  ]]></institution>
<addr-line><![CDATA[México D.F.]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2005</year>
</pub-date>
<volume>44</volume>
<numero>3</numero>
<fpage>241</fpage>
<lpage>250</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0016-71692005000300241&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0016-71692005000300241&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0016-71692005000300241&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT A highly optimized simulated annealing (SA) algorithm is applied to reconstruct permittivity images of real two-phase gas-oil flows through a cylindrical vessel using electrical capacitance tomography (ECT). ECT yields low-accuracy images but is robust, inexpensive and much faster than many other tomography processes. This non-intrusive method essentially measures non-conductive system distributions and is applied in oil industry processes such as mixing or stirring vessels, fluidized bed reactors, separator tanks and pipelines carrying multiphase flows. A forward problem is solved at each step of an iterative algorithm to solve the inverse problem using simulated annealing (SA). Comparisons with linear methods like The Projected Landweber technique are discussed. In this paper we introduce a finite volume discretization with local mesh refinements in a cylindrical configuration close to the electrodes in order to improve resolution in the calculation of capacitances, and to avoid problems with resolution at the centre of cylindrical container when finite differences are used. This discretization has the advantage of a conservative formulation as used in finite element methods and features the flexibility of mesh refinement close to the electrodes. Thus, improvement of local accuracy is achieved without increasing prohibitively the number of mesh points. Performance of the forward problem resolution is compared with finite element based methods and experimental data. We show that the non linear version of SA provides better reconstructions of three-phase flows than the Landweber method.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN En este trabajo un algoritmo de tipo recocido simulado (SA) altamente optimizado es aplicado a la reconstrucción de imágenes de permitividades a partir de datos de flujos difásicos reales cruzando una sección de un tubo cilíndrico usando tomografía de capacitancia eléctrica (ECT). La ECT proporciona imágenes de baja precisión comparando con otros procesos de tomografía, pero es robusta, barata y mucho más rápida. Este método no-intrusivo mide esencialmente distribuciones de permitividades en sistemas no-conductivos y se aplica en varios procesos de la industria petrolera como recipientes de mezclado, reactores de lechos fluidizados, tanques de separación o ductos transportando flujos multifásicos. Para reconstruir las imágenes de flujos multifásicos a través de la sección de un contenedor cilíndrico, se determinaron las distribuciones de permitividad por medio de la tomografía de capacitancia eléctrica (ECT). Para este fin, un problema directo es resuelto en cada iteración de algoritmos de inversión de tipo recocido simulado "simulated annealing" (SA) y Landweber Proyectado. Pero se necesita todavía reducir el costo computacional de la resolución del problema directo a cada iteración de SA. Los métodos de Elementos Finitos o de Diferencias Finitas son generalmente escogidos para resolver el problema directo y los resolvedores de sistemas lineales introducen técnicas de diagonalización o de gradiante conjugado. En este artículo se introduce una discretización espacial por volúmenes finitos con refinamientos locales en una configuración cilíndrica con el fin de aumentar la resolución cerca de los electrodos, mejorar el cálculo de las capacitancias, y evitar problemas de resolución en el centro del sensor. Esta discretización tiene la ventaja de ofrecer una formulación conservativa usada en elemento finito y la flexibilidad para refinamiento de malla alrededor de los electrodos. De este modo se obtiene una mejor precisión local sin incrementar exageradamente el número de puntos de la malla. Los desempeños de la resolución del problema directo son analizados a la luz de los resultados obtenidos con métodos de elemento finito y datos experimentales. Se demuestra que la versión nonlineal de SA reconstruye mejor los flujos trifásicos que el método de Landweber.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Tomografía de capacitancia]]></kwd>
<kwd lng="es"><![CDATA[recocido simulado]]></kwd>
<kwd lng="es"><![CDATA[reconstrucción de imágenes]]></kwd>
<kwd lng="es"><![CDATA[métodos de volúmenes finitos]]></kwd>
<kwd lng="en"><![CDATA[Capacitance tomography]]></kwd>
<kwd lng="en"><![CDATA[very fast simulated annealing]]></kwd>
<kwd lng="en"><![CDATA[image reconstruction]]></kwd>
<kwd lng="en"><![CDATA[finite volume method]]></kwd>
</kwd-group>
</article-meta>
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