<?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>0122-5383</journal-id>
<journal-title><![CDATA[CT&F - Ciencia, Tecnología y Futuro]]></journal-title>
<abbrev-journal-title><![CDATA[C.T.F Cienc. Tecnol. Futuro]]></abbrev-journal-title>
<issn>0122-5383</issn>
<publisher>
<publisher-name><![CDATA[Instituto Colombiano del Petróleo (ICP) - ECOPETROL S.A.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0122-53832018000200089</article-id>
<article-id pub-id-type="doi">10.29047/01225383.85</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[ACCELERATED 2D FWI USING THE SYMMETRY ON INNER PRODUCT SPACES]]></article-title>
<article-title xml:lang="es"><![CDATA[ACELERACIÓN DE LA INVERSIÓN DE ONDA COMPLETA 2D USANDO LA SIMETRÍA DE LOS ESPACIOS FORMADOS POR PRODUCTOS INTERNOS]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Noriega]]></surname>
<given-names><![CDATA[Reynaldo-Fabian]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Abreo]]></surname>
<given-names><![CDATA[Sergio-Alberto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ramirez]]></surname>
<given-names><![CDATA[Ana-B]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Industrial de Santander  ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2018</year>
</pub-date>
<volume>8</volume>
<numero>2</numero>
<fpage>89</fpage>
<lpage>98</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0122-53832018000200089&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0122-53832018000200089&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0122-53832018000200089&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT Full Waveform Inversion (FWI) is a common technique used in the oil and gas industry due to its capabilities to estimate subsurface characteristics such as material's density and sound velocity with high resolution. The 2D time domain FWI method involves the modeling of the forward wavefield of the source and the backpropagated field of the difference between the modeled and observed data. Therefore, due to its high computational cost in terms of RAM consumption and execution time, the High Performance Computing (HPC) field is very useful to deal with these problems. There are computational state-of-the-art solutions that allow to increase the execution time such as the parallel programming paradigm that involves the use of multicore processor systems. Furthermore, there are mathematical solutions leveraging on the properties of the algorithm used that make it possible to enhance performance of the method. We propose in this paper a new way to compute the FWI gradient, by taking advantage of an inner product property. Additionally, a computational strategy is combined with this proposal in the inversion scheme, thus improving FWI performance.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN La Inversión de Onda Completa (FWI, por sus siglas en inglés) es una técnica común en la industria de los hidrocarburos debido a la capacidad de generar perfiles de alta resolución de las características del subsuelo como densidad y velocidad. La FWI 2D en el dominio del tiempo implica el modelado del campo de presión generado por la fuente y del campo de presión generado por la diferencia entre los datos adquiridos y los datos modelados. Debido a su alto costo computacional en términos de consumo de memoria y el tiempo de ejecución, el área de la computación de alto desempeño (HPC, por sus siglas en inglés) se vuelve útil y necesario para lidiar con estos problemas. En el estado-del-arte existen estrategias computacionales que permiten incrementar el tiempo de ejecución de los algoritmos como el paradigma de la programación en paralelo, en el cual se hace uso de sistemas con procesadores multinúcleo. Por otra parte, también se puede aprovechar propiedades del algoritmo mediante desarrollos matemáticos lo cual impacta positivamente al momento de la implementación. En este trabajo se propone una nueva forma de calcular el gradiente de la FWI aprovechando una propiedad de los espacios producidos por productos internos. Adicionalmente, este planteamiento se combina con una estrategia de implementación para el manejo de memoria RAM en el esquema de inversión, incrementando su desempeño computacional.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[FWI]]></kwd>
<kwd lng="en"><![CDATA[Inner product]]></kwd>
<kwd lng="en"><![CDATA[Computational strategy]]></kwd>
<kwd lng="en"><![CDATA[RAM Consumption]]></kwd>
<kwd lng="es"><![CDATA[FWI]]></kwd>
<kwd lng="es"><![CDATA[Producto interno]]></kwd>
<kwd lng="es"><![CDATA[Estrategia computacional]]></kwd>
<kwd lng="es"><![CDATA[Consumo de RAM]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tarantola]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA['Inversion of seismic reflection data in the acoustic approximation]]></article-title>
<source><![CDATA[Geophysics]]></source>
<year>1984</year>
<volume>49</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>1259-66</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Plessix]]></surname>
<given-names><![CDATA[R.-E]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA['A review of the adjoint-state method for computing the gradient of a functional with geophysical applications]]></article-title>
<source><![CDATA[Geophysical Journal International]]></source>
<year>2006</year>
<volume>167</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>495-503</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Noriega]]></surname>
<given-names><![CDATA[R. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Ramirez]]></surname>
<given-names><![CDATA[A. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Abreo]]></surname>
<given-names><![CDATA[S. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Arce]]></surname>
<given-names><![CDATA[G. R]]></given-names>
</name>
</person-group>
<source><![CDATA[Implementation strategies of the seismic full waveform Inversion]]></source>
<year>2017</year>
<conf-name><![CDATA[ IEEE International Conference on Acoustics, Speech and Signal]]></conf-name>
<conf-loc> </conf-loc>
<page-range>5-9</page-range><publisher-loc><![CDATA[New Drleans, IL, USA ]]></publisher-loc>
<publisher-name><![CDATA[IEEE]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[D. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Nocedal]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA['On the limited memory bfgs method for large scale optimization]]></article-title>
<source><![CDATA[Mathematical programming]]></source>
<year>1989</year>
<volume>45</volume>
<numero>1-3</numero>
<issue>1-3</issue>
<page-range>503-28</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bleistein]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
</person-group>
<source><![CDATA['Mathematics of Multidimensional Seismic imaging, Migration, anc nversion]]></source>
<year>2001</year>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[van Meel]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Arnold]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Frenkel]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Portegies Zwart]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Belleman]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA['Harvesting graphics power for mc simulations]]></article-title>
<source><![CDATA[Molecular Simulation]]></source>
<year>2008</year>
<volume>34</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>259-66</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Imbert]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[ImaCoueCCine]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
<name>
<surname><![CDATA[Thierry]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Chauris]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Borges]]></surname>
<given-names><![CDATA[L]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Tips and tricks for finite difference and i/o-less fwi]]></article-title>
<source><![CDATA[2011SEG Annual Meeting. Society of Exploration Geophysicists]]></source>
<year>2011</year>
<page-range>18-23</page-range><publisher-loc><![CDATA[San Antonio, TX, USA ]]></publisher-loc>
<publisher-name><![CDATA[SEG]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Brossier]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Virieux]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA['Wavefield reconstruction by interpolating significantly decimated boundaries]]></article-title>
<source><![CDATA[Geophysics]]></source>
<year>2016</year>
<volume>81</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>197-209</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Quijada]]></surname>
<given-names><![CDATA[M. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[R. R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA['Density estimations using density-velocity relations and seismic inversion]]></article-title>
<source><![CDATA[CREWES]]></source>
<year>2007</year>
<volume>19</volume>
<page-range>1-20</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mao]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[R.-S.]]></given-names>
</name>
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Multiscale full waveform inversion using gpu]]></article-title>
<source><![CDATA[2012 SEG Annual Meeting]]></source>
<year>2012</year>
<page-range>4-9</page-range><publisher-loc><![CDATA[Las Vegas, NV, USA ]]></publisher-loc>
<publisher-name><![CDATA[Society of Exploration Geophysicists. SEG]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pasalic]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[McGarry]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Convolutional perfectly matched layer for isotropic and anisotropic acoustic wave equations.]]></article-title>
<source><![CDATA[2010 SEG Annual Meeting]]></source>
<year>2010</year>
<page-range>17-22</page-range><publisher-loc><![CDATA[Denver, CO, USA ]]></publisher-loc>
<publisher-name><![CDATA[Society of Exploration Geophysicists. SEG]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
