<?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>0254-0770</journal-id>
<journal-title><![CDATA[Revista Técnica de la Facultad de Ingeniería Universidad del Zulia]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Téc. Ing. Univ. Zulia]]></abbrev-journal-title>
<issn>0254-0770</issn>
<publisher>
<publisher-name><![CDATA[Facultad de Ingeniería, Universidad del Zulia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0254-07702008000400007</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[An efficient response surface approach for the optimization of ASP flooding processes]]></article-title>
<article-title xml:lang="es"><![CDATA[Un enfoque práctico para la optimización de procesos de inyección de ASP usando modelos de superficie de respuesta cuadrática y diseño de experimentos]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zerpa]]></surname>
<given-names><![CDATA[Luis E]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Queipo]]></surname>
<given-names><![CDATA[Néstor V]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pintos]]></surname>
<given-names><![CDATA[Salvador]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Tillero]]></surname>
<given-names><![CDATA[Edwin]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alter]]></surname>
<given-names><![CDATA[David]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad del Zulia Facultad de Ingeniería Instituto de Cálculo Aplicado]]></institution>
<addr-line><![CDATA[ Zulia]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Petróleos de Venezuela, S.A  ]]></institution>
<addr-line><![CDATA[Maracaibo ]]></addr-line>
<country>Venezuela</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2008</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2008</year>
</pub-date>
<volume>31</volume>
<numero>Especial</numero>
<fpage>50</fpage>
<lpage>60</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://ve.scielo.org/scielo.php?script=sci_arttext&amp;pid=S0254-07702008000400007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://ve.scielo.org/scielo.php?script=sci_abstract&amp;pid=S0254-07702008000400007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://ve.scielo.org/scielo.php?script=sci_pdf&amp;pid=S0254-07702008000400007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The EOR method so called alkaline-surfactant-polymer (ASP) flooding has proved to be effective in reducing the oil residual saturation in laboratory experiments and field projects through the reduction of interfacial tension and mobility ratio between oil and water phases. Two issues are critical for a successful ASP flooding project: i) addressing issues related to optimization of the laboratory design, and ii) establishing an optimal injection scheme for the field scale flooding process. This paper presents an efficient solution approach for the latter issue. The approach is based on the construction of quadratic response surface models (surrogates) of reservoir simulator outputs and three-level D-optimal design of experiments. It allows to effectively and efficiently establish the optimum ASP injection scheme, and was applied to determine the optimal values of injection rates, slug size and initial date for injection of an case study at pilot project level. The optimum injection scheme resulted in substantial savings in chemicals used when compared to the laboratory design.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Se ha demostrado en experimentos de laboratorio y experiencias de campo que el método de recuperación mejorada de petróleo por inyección de álcali, surfactante y polímero (ASP) es efectivo en la reducción de la saturación residual de petróleo, a través de la reducción de tensión interfacial y la relación de movilidad entre las fases acuosa y oleica. Dos aspectos críticos para el éxito de un proyecto de inyección de ASP son: i) la optimización de la formulación de ASP en laboratorio; y ii) la optimización del esquema de inyección a utilizar a escala de campo. Este trabajo presenta un enfoque eficiente para la solución del segundo aspecto. El enfoque se basa en la construcción de modelos de superficie de respuesta cuadrática a partir de la salida de un simulador de yacimientos y diseño de experimentos tipo D-óptimo. Esta metodología permite establecer de forma efectiva y eficiente el esquema de inyección de ASP óptimo, y fue utilizada para determinar la tasa de inyección, tamaño del tapón y fecha inicial de inyección de un caso de estudio a escala de proyecto piloto. El esquema de inyección óptimo reduce sustancialmente la cantidad de químicos utilizados al comparar con los sugeridos por el diseño de laboratorio.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Enhanced oil recovery]]></kwd>
<kwd lng="en"><![CDATA[ASP flooding]]></kwd>
<kwd lng="en"><![CDATA[optimization]]></kwd>
<kwd lng="en"><![CDATA[surrogate modeling]]></kwd>
<kwd lng="en"><![CDATA[reservoir simulation]]></kwd>
<kwd lng="es"><![CDATA[Recuperación mejorada de petróleo]]></kwd>
<kwd lng="es"><![CDATA[inyección de álcali-surfactante-polímero]]></kwd>
<kwd lng="es"><![CDATA[optimización]]></kwd>
<kwd lng="es"><![CDATA[modelos sustitutos]]></kwd>
<kwd lng="es"><![CDATA[simulación de yacimientos]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <BASEFONT SIZE="3"> <MULTICOL GUTTER="39" COLS="2">     <P ALIGN="CENTER"><FONT COLOR="#1f1a17" SIZE="5" FACE="Verdana"> <B>An efficient response surface approach    <BR> for the optimization of ASP flooding  processes&nbsp;</B> </FONT></P> <font face="Verdana"> <A NAME="_VPID_17"></A> </font>     <P ALIGN="CENTER"><FONT COLOR="#1f1a17" SIZE="3" FACE="Verdana"> Luis E. Zerpa</FONT><FONT COLOR="#1f1a17" SIZE="3" FACE="Bookman"><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>1</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="3">, N&#233;stor V. Queipo</FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>1</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="3">, Salvador Pintos</FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>1</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="3">, Edwin Tillero</FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>2</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="3">    <BR> y David  Alter</FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>2</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="3">&nbsp;</FONT></FONT><FONT COLOR="#1f1a17" SIZE="3" FACE="Verdana"> </FONT></P>     <P ALIGN="CENTER"><FONT COLOR="#1f1a17" SIZE="2" FACE="Bookman"> <FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>1</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="2">Instituto de C&#225;lculo Aplicado, Facultad de Ingenier&#237;a, Universidad del  Zulia. Maracaibo 4005, Venezuela. Fax: 58.261.759.8411. Tel&#233;fono: 58.261.759.8411.  <a href="mailto:lzerpa@ica.luz.ve">lzerpa@ica.luz.ve</a>     <BR> </FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>2</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="2">Petr&#243;leos de Venezuela, S.A. Maracaibo, Venezuela.&nbsp;</FONT></FONT><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> </FONT></P>     <P ALIGN="CENTER"><FONT COLOR="#1f1a17" SIZE="3" FACE="Verdana"> <B>Abstract&nbsp;</B> </FONT></P>     <P ALIGN="justify"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> The EOR method so called alkaline-surfactant-polymer (ASP) flooding has  proved to be effective in reducing the oil residual saturation in laboratory  experiments and field projects through the reduction of interfacial tension  and mobility ratio between oil and water phases. Two issues are critical  for a successful ASP flooding project: i) addressing issues related to  optimization of the laboratory design, and ii) establishing an optimal  injection scheme for the field scale flooding process. This paper presents  an efficient solution approach for the latter issue. The approach is based  on the construction of quadratic response surface models (surrogates) of  reservoir simulator outputs and three-level D-optimal design of experiments.  It allows to effectively and efficiently establish the optimum ASP injection  scheme, and was applied to determine the optimal values of injection rates,  slug size and initial date for injection of an case study at pilot project  level. The optimum injection scheme resulted in substantial savings in  chemicals used when compared to the laboratory design.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> <B>Key words:&nbsp;</B> </FONT></P>     ]]></body>
<body><![CDATA[<P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> Enhanced oil recovery, ASP flooding, optimization, surrogate modeling,  reservoir simulation.&nbsp; </FONT></P><font face="Verdana">    <BR> </font>     <P ALIGN="CENTER"><FONT COLOR="#1f1a17" SIZE="5" FACE="Verdana"> Un enfoque pr&#225;ctico para la optimizaci&#243;n de procesos de inyecci&#243;n de ASP  usando modelos de superficie de respuesta cuadr&#225;tica y dise&#241;o de experimentos&nbsp; </FONT></P>     <P ALIGN="CENTER"><FONT COLOR="#1f1a17" SIZE="3" FACE="Verdana"> <B>Resumen&nbsp;</B> </FONT></P>     <P ALIGN="justify"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> Se ha demostrado en experimentos de laboratorio y experiencias de campo  que el m&#233;todo de recuperaci&#243;n mejorada de petr&#243;leo por inyecci&#243;n de &#225;lcali,  surfactante y pol&#237;mero (ASP) es efectivo en la reducci&#243;n de la saturaci&#243;n  residual de petr&#243;leo, a trav&#233;s de la reducci&#243;n de tensi&#243;n interfacial y  la relaci&#243;n de movilidad entre las fases acuosa y oleica. Dos aspectos  cr&#237;ticos para el &#233;xito de un proyecto de inyecci&#243;n de ASP son: i) la optimizaci&#243;n  de la formulaci&#243;n de ASP en laboratorio; y ii) la optimizaci&#243;n del esquema  de inyecci&#243;n a utilizar a escala de campo. Este trabajo presenta un enfoque  eficiente para la soluci&#243;n del segundo aspecto. El enfoque se basa en la  construcci&#243;n de modelos de superficie de respuesta cuadr&#225;tica a partir  de la salida de un simulador de yacimientos y dise&#241;o de experimentos tipo  D-&#243;ptimo. Esta metodolog&#237;a permite establecer de forma efectiva y eficiente  el esquema de inyecci&#243;n de ASP &#243;ptimo, y fue utilizada para determinar  la tasa de inyecci&#243;n, tama&#241;o del tap&#243;n y fecha inicial de inyecci&#243;n de  un caso de estudio a escala de proyecto piloto. El esquema de inyecci&#243;n  &#243;ptimo reduce sustancialmente la cantidad de qu&#237;micos utilizados al comparar  con los sugeridos por el dise&#241;o de laboratorio.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> <B>Palabras clave:&nbsp;</B> </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> Recuperaci&#243;n mejorada de petr&#243;leo, inyecci&#243;n de &#225;lcali-surfactante-pol&#237;mero,  optimizaci&#243;n, modelos sustitutos, simulaci&#243;n de yacimientos.&nbsp; </FONT></P> </MULTICOL>     <P>  </P> <MULTICOL GUTTER="39" COLS="2"> </MULTICOL> <UL>     <p>&nbsp;</p> <FONT COLOR="#1f1a17" SIZE="3" FACE="Verdana"><B>Referencias&nbsp;</B> </FONT>     <!-- ref --><P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">1.&nbsp; Dosher, T.M., Wise, F.A. Enhanced oil recovery potential. An estimate.  Paper SPE 5800. J. Pet. Technol. (1976) 575.&nbsp; </FONT>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2359579&pid=S0254-0770200800040000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">2.Clark, S.R., Pitts, M.J., Smith, S.M. Design and application of an alkaline-surfactant-polymer  recovery system to the West Kiehl. Paper SPE 17538 Presented at the SPE  Rocky Mountain Regional Meeting, Casper, WY, (1988) pp. 515-522.&nbsp; </FONT> </P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">3.&nbsp; Meyers, J.J., Pitss, M.J., Wyatt, K. Alkaline-surfactant-polymer flood  of the West Kiehl, Minnelusa Unit. Paper SPE/DOE 24144 Presented at SPE/DOE  Eight Symposium on Enhanced Oil Recovery, Tulsa, Oklahoma (1992).&nbsp; </FONT> </P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">4.&nbsp;Vargo, J., Turner, J., Vergnani, B., Pitts, M., Wyatt, K., Surkalo, H.,  Patterson, D. Alkaline-surfactant/polymer flooding of the Cambridge field.  Paper SPE 55633 Presented at the SPE Rocky Mountain Regional Meeting, Gillette, Wyoming (1999).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">5.&nbsp; Demin, W., Jiecheng, Ch., Junzheng, W., Zhenyu, Y., Hongfu, L. Summary  of ASP pilots in Daqing Oil Field. Paper SPE 57288 Presented at the Asia  Pacific Improved Oil Recovery Conference, Kuala Lumpur, Malaysia (1999).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">6.&nbsp; Guerra, E., Valero, E., Rodr&#237;guez, D., Gutierrez, L., Castillo, M., Espinoza,  J., and Granja, G. Improved ASP Design Using Organic Compound-Surfactant-Polymer  (OCSP) for La Salina Field, Maracaibo Lake. Paper SPE 107776 Presented  at the Latin American and Caribbean Petroleum Engineering Conference, Buenos  Aires, Argentina (2007).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">7.&nbsp;Wu, W. Optimum Design of Field-Scale Chemical Flooding Using Reservoir  Simulation. PhD Thesis, The University of Texas at Austin (1996).&nbsp; </FONT> </P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">8.&nbsp; Zhijian, Q., Yigen, Z., Xiansong, Z., Jialin, D. A successful ASP flooding  in Gudong oil field. Paper SPE 39613 Presented at the SPE/DOE Improved  Oil Recovery Symposium, Tulsa, Oklahoma (1998).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">9.&nbsp;Manrique, E., De Carvajal, G., Anselmi, L., Romero, C., Chacon, L. Alkali/surfactant  /polymer at VLA 6/9/21 field in Maracaibo Lake: experimental results and  pilot project design. Paper SPE 59363 Presented at the SPE/DOE Improved  Oil Recovery Symposium, Tulsa, Oklahoma (2000).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">10.&nbsp;Qi, Q., Hongjun, G., Dongwen, L., Ling, D. The pilot test of ASP combination  flooding in Karamay oil field. Paper SPE 64726 Presented at the SPE International  Oil and Gas Conference an Exhibition, Beijing, China (2000).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">11.&nbsp; Anderson, G.A., Delshad, M., King, C.B., Mohammadi, H., Pope, G.A. Optimization  of Chemical Flooding in a Mixed-Wet Dolomite Reservoir. Paper SPE 100082  Presented at the SPE/DOE Symposium on Improved Oil Recovery, Tulsa, Oklahoma,  USA (2006).&nbsp; </FONT></P>     ]]></body>
<body><![CDATA[<P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">12.&nbsp; Giunta, A.A., Balabanov, V., Burgee, S., Grossman, B., Haftka, R.T., Mason,  W.H., Watson, L.T. Multidisciplinary optimization of a supersonic transport  using design of experiments theory and response surface modelling. Aeronaut.  J. 101 (1997), 347-356.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">13.&nbsp; Balabanov, V.O., Haftka, R.T., Grossman, B., Mason, W.H., Watson, L.T.  Multidisciplinary response model for HSCT wing bending material weight.  AIAA Paper 98-4804 Presented at the 7</FONT><FONT COLOR="#1f1a17" SIZE="2" FACE="Bookman"><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>th</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="2"> AIAA/USAF/NASA/ISSMO Symp. on Multidisciplinary  Anal. and Optim., St. Louis, MO (1998).&nbsp;</FONT></FONT><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">14.&nbsp; Queipo, N.V., Haftka, R.T., Shyy, W., Goel, T., Vaidyanathan, R., Tucker,  P.K. Surrogate-based analysis and optimization. Progress in Aerospace Sciences  41, (2005) 1-28.&nbsp; </FONT></P>     <P></P> <MULTICOL GUTTER="39" COLS="2">     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">15.&nbsp; Craig, K.J., Stander, N., Dooge, D.A., Varadappa, S. MDO of automotive  vehicles for crashworthiness using response surface methods. AIAA Paper  2002-5607 Presented at the 9</FONT><FONT COLOR="#1f1a17" SIZE="2" FACE="Bookman"><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="1"><SUP>th</SUP></FONT><FONT COLOR="#1f1a17" FACE="Verdana" SIZE="2"> AIAA/ISSMO Symp. on Multidisciplinary Anal.  and Optim., Atlanta, GA (2002).&nbsp;</FONT></FONT><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana"> </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">16.&nbsp; Kurtaran, H., Eskandarian, A., Marzougui, D., Bedewi, N.E. Crashworthiness  design optimization using successive response surface approximations. Comput.  Mech. 29, (2002) 409-421.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">17.&nbsp;Carrero, E., Queipo, N.V., Pintos, S., Zerpa, L.E. Global Sensitivity Analysis  of Alkali-Surfactant-Polymer Enhanced Oil Recovery Processes. Accepted  for publication in the Journal of Petroleum Science and Engineering, Vol.  58, Issues 1-2, (2007) 30-42.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">18.&nbsp; Queipo, N.V., Goicochea, J., Pintos, S. Surrogate modeling based optimization  of SAGD processes. J. Pet. Sci. Eng. 35/1-2, (2002) 83-93.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">19.&nbsp; Queipo, N.V., Verde, A., Canelon, J., Pintos, S. Efficient global optimization  of hydraulic fracturing designs. J. Pet. Sci. Eng. 35/3-4, (2002) 151-166.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">20.&nbsp; Zerpa, L.E., Queipo, N.V., Pintos, S., Salager, J.L. An optimization methodology  of alkaline-surfactant-polymer flooding processes using field scale numerical  simulation and multiple surrogates. Journal of Petroleum Science and Engineering  47, (2005) 197-208.&nbsp; </FONT></P>     ]]></body>
<body><![CDATA[<P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">21.&nbsp; Draper, N.R., Smith, H., 1966. Applied Regression Analysis. John Wiley  and Sons, Inc.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">22.&nbsp; Luenberger, D.G. Linear and Nonlinear Optimization. Second Edition. Springer  (2003) 423.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">23.&nbsp; Gill, P.E., Murray, W., Wright, M.H. Numerical Linear Algebra and Optimization,  Vol. 1, Addison Wesley, (1991)&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">24.&nbsp; MATLAB, Optimization Toolbox. The MathWorks, Inc.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">25.&nbsp; Atkinson, A.C., and A.N. Donev, Optimum Experimental Designs, Oxford Science  Publications (1992).&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">26.&nbsp; MATLAB, Statistics Toolbox. The MathWorks, Inc.&nbsp; </FONT></P>     <P ALIGN="LEFT"><FONT COLOR="#1f1a17" SIZE="2" FACE="Verdana">27.&nbsp; Hern&#225;ndez, C., Chac&#243;n, L., Anselmi, L., Baldonedo, A., Qi, J., Phillip,  C., Pitts, M.J. ASP system design for an offshore application in the La  Salina Field, Lake Maracaibo. Paper SPE 69544 presented at the SPE Latin  American and Caribbean Petroleum Engineering Conference, Buenos Aires,  Argentina (2001).&nbsp; </FONT></P>     <P ALIGN="left"><FONT COLOR="#1f1a17" FACE="Verdana">Recibido el 30 de Junio de 2007&nbsp; </FONT></P><font face="Verdana"><A NAME="calculo"></A></font>     <P ALIGN="left"><FONT COLOR="#1f1a17" FACE="Verdana">En forma revisada el 31 de Julio de 2008&nbsp; </FONT></P></MULTICOL>     <P></P>     ]]></body>
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<label>1</label><nlm-citation citation-type="">
<source><![CDATA[]]></source>
<year></year>
</nlm-citation>
</ref>
</ref-list>
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