<?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>0012-7353</journal-id>
<journal-title><![CDATA[DYNA]]></journal-title>
<abbrev-journal-title><![CDATA[Dyna rev.fac.nac.minas]]></abbrev-journal-title>
<issn>0012-7353</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0012-73532022000200060</article-id>
<article-id pub-id-type="doi">10.15446/dyna.v89n221.100020</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Design of mixture experiments for the analysis of viscosity behavior of sulfonated polyacrylamide solutions (ATBS) with changes in salinity, hardness, and polymer concentration]]></article-title>
<article-title xml:lang="es"><![CDATA[Diseño de experimentos de mezclas para el análisis del comportamiento de la viscosidad de soluciones de poliacrilamidas sulfonadas (ATBS) con cambios en la salinidad, dureza y concentración de polímero]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Herrera]]></surname>
<given-names><![CDATA[Julia]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Quintero]]></surname>
<given-names><![CDATA[Henderson]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Maya]]></surname>
<given-names><![CDATA[Gustavo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Castro]]></surname>
<given-names><![CDATA[Rubén]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Prada]]></surname>
<given-names><![CDATA[Luis Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Maldonado]]></surname>
<given-names><![CDATA[Laura]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Villar]]></surname>
<given-names><![CDATA[Álvaro]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pérez]]></surname>
<given-names><![CDATA[Eduar]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Centro delnnovacióny Tecnología ICP, Ecopetrol  ]]></institution>
<addr-line><![CDATA[Piedecuesta ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Minas, Departamento de Procesos y Energía ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Desarrollo en tecnologias deHidrocarburos  ]]></institution>
<addr-line><![CDATA[Bucaramanga Santander]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de Buenos Aires/CONICET  ]]></institution>
<addr-line><![CDATA[Buenos Aires ]]></addr-line>
<country>Argentina</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<volume>89</volume>
<numero>221</numero>
<fpage>60</fpage>
<lpage>67</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0012-73532022000200060&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0012-73532022000200060&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0012-73532022000200060&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract A simple centroid mixture design (SCMD) method was used to determine the effect of the salinity and hardness of preparation water on final viscosity of a polymer solution with Acrylamide-Tert-butyl-Sulfonated units (ATBS). The experimental results of SCMD were used to build a special quadratic model and a numerical model was implemented for determining the polymer concentration necessary to reach the desired viscosity, depending on the salinity and hardness of the preparation water. Furthermore, the numerical model developed was validated with experimental data from the literature. It can predict the required concentration of a modified polymer (ATBS) to achieve the desired injection viscosity of the polymeric solution, with 95% reliability in the ranges evaluated. The Newton-Raphson numerical model developed using an SMCD is the first reported in the literature that allows determining the ATBS polymer concentration necessary to define the viscosity range.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Un Diseño de experimentos de mezcla (SCMD) fue usado para determinar el efecto de la dureza y salinidad del agua de preparación en la viscosidad final de una solución polimérica con modificaciones con unidades ATBS (Acrilamidas-Terbutil Sulfonadas). Con los resultados experimentales del SCMD se construyó un modelo cuadrático especial, y se implementó un modelo numérico que permite determinar la concentración de polímero necesaria para alcanzar la viscosidad deseada, dependiendo de la salinidad y dureza del agua de preparación. Adicionalmente, el modelo numérico desarrollado fue validado con datos experimentales de la literatura. Este puede predecir la concentración requerida de un polímero modificado con ATBS para alcanzar la viscosidad deseada con un 95% de confiabilidad en los rangos evaluados. El modelo numérico de Newton-Raphson desarrollado usando un SCMD es el primero reportado en la literatura que permite determinar la concentración de polímeros ATBS necesaria para conocer un rango de viscosidad]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[ATBS]]></kwd>
<kwd lng="en"><![CDATA[sulfonated polyacrylamide]]></kwd>
<kwd lng="en"><![CDATA[salinity]]></kwd>
<kwd lng="en"><![CDATA[hardness]]></kwd>
<kwd lng="en"><![CDATA[SCMD]]></kwd>
<kwd lng="es"><![CDATA[ATBS]]></kwd>
<kwd lng="es"><![CDATA[poliacrilamidas sulfonadas]]></kwd>
<kwd lng="es"><![CDATA[salinidad]]></kwd>
<kwd lng="es"><![CDATA[dureza]]></kwd>
<kwd lng="es"><![CDATA[SCMD]]></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[Manrique]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Ahmadi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Samani]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Historical and recent observations in polymer floods: an update review]]></article-title>
<source><![CDATA[CTyF - Ciencia, Tecnol. y Futur]]></source>
<year>2017</year>
<volume>6-6</volume>
<numero>5-5</numero>
<issue>5-5</issue>
<page-range>17-48</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[Liu]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Decrease in viscosity of partially hydrolyzed polyacrylamide solution caused by the interaction between sulfide ion and amide group]]></article-title>
<source><![CDATA[J. Pet. Sci. Eng]]></source>
<year>2018</year>
<volume>170</volume>
<page-range>738-43</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Martin]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Donaruma]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Hatch]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Development of improved-mobility control agents for surfactant/polymer flooding]]></source>
<year>1982</year>
</nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ward]]></surname>
<given-names><![CDATA[J.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Martin]]></surname>
<given-names><![CDATA[F.D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Prediction of viscosity for partially hydrolyzed polyacrylamide solutions in the presence of calcium and magnesium ions]]></article-title>
<source><![CDATA[Soc. Pet. Eng. J.]]></source>
<year>1981</year>
<volume>21</volume>
<numero>05</numero>
<issue>05</issue>
<page-range>623-31</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Al-Hamairi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[AlAmeri]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Development of a novel model to predict HPAM viscosity with the effects of concentration, salinity and divalent content]]></article-title>
<source><![CDATA[J. Pet. Explor. Prod. Technol.]]></source>
<year>2020</year>
<volume>10</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>1949-63</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Niu]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Ouyang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhu]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Sun]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Research on hydrophobically associating water-soluble polymer used for EOR]]></source>
<year>2001</year>
<page-range>621-4</page-range><publisher-name><![CDATA[Proc. - SPE Int. Symp. Oilf. Chem]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Noik]]></surname>
<given-names><![CDATA[Ch.]]></given-names>
</name>
<name>
<surname><![CDATA[Muller]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<collab>Delaplace</collab>
<source><![CDATA[Physico-Chemical characteristics of polyacrylamide solutions after mechanical degradation through a porous medium]]></source>
<year>1995</year>
<conf-name><![CDATA[ SPE International Symposium on Oilfield Chemistry]]></conf-name>
<conf-loc>San Antonio, Texas </conf-loc>
</nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zaitoun]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Shear stability of EOR polymers]]></article-title>
<source><![CDATA[SPE J.]]></source>
<year>2012</year>
<volume>17</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>335-9</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[Maya-Toro]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Experimental evaluation of the mechanical degradation of HPAM polymeric solutions used in Enhanced Oil Recovery]]></article-title>
<source><![CDATA[CT&amp;F - Ciencia, Tecnol. y Futur]]></source>
<year>2020</year>
<volume>10</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>131-41</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[Jouenne]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Polymer flooding in high temperature, high salinity conditions: selection of polymer type and polymer chemistry, thermal stability]]></source>
<year>2020</year>
<page-range>195</page-range><publisher-name><![CDATA[J. Pet. Sci. Eng]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Levitt]]></surname>
<given-names><![CDATA[D.B.]]></given-names>
</name>
<name>
<surname><![CDATA[Pope]]></surname>
<given-names><![CDATA[G.A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Selection and screening of polymers for enhanced-oil recovery]]></source>
<year>2008</year>
<conf-name><![CDATA[ Proc. - SPE Symp. Improv]]></conf-name>
<conf-loc> </conf-loc>
<page-range>1125-42</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lu]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Jiang]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Experimental study on the molecular dimension and configuration of polymer and its flow characteristics from electrolyte effect]]></article-title>
<source><![CDATA[Chinese J. Chem]]></source>
<year>2009</year>
<volume>27</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>839-45</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kang]]></surname>
<given-names><![CDATA[P.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Lim]]></surname>
<given-names><![CDATA[J.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Huh]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Artificial neural network model to estimate the viscosity of polymer solutions for enhanced oil recovery]]></article-title>
<source><![CDATA[Appl. Sci.]]></source>
<year>2016</year>
<volume>6</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>1-15</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rostami]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kalantari-Meybodi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Karimi]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Tatar]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Mohammadi]]></surname>
<given-names><![CDATA[A.H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Efficient estimation of hydrolyzed polyacrylamide (HPAM) solution viscosity for enhanced oil recovery process by polymer flooding]]></source>
<year>2018</year>
<volume>73</volume>
<publisher-name><![CDATA[Oil Gas Sci. Technol]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sharma]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Delshad]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Huh]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Pope]]></surname>
<given-names><![CDATA[G.A.]]></given-names>
</name>
</person-group>
<source><![CDATA[A practical method to calculate polymer viscosity accurately in numerical reservoir simulators]]></source>
<year>2011</year>
<volume>5</volume>
<page-range>3881-94</page-range><publisher-name><![CDATA[Proc. - SPE Annu. Tech. Conf. Exhib]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stavland]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Strand]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[When will polymer viscosity be a design criterion for EOR polymer flooding]]></source>
<year>2013</year>
<conf-name><![CDATA[ 34Annual Symposium]]></conf-name>
<conf-loc> </conf-loc>
</nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Castro-Garcia]]></surname>
<given-names><![CDATA[R.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Llanos-Gallo]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodriguez-Ardila]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Quintero-Pérez]]></surname>
<given-names><![CDATA[H.I.]]></given-names>
</name>
<name>
<surname><![CDATA[Manrique-Ventura]]></surname>
<given-names><![CDATA[E.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Zapata-Arango]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Heavy oil and high-temperature polymer EOR applications]]></article-title>
<source><![CDATA[CT&amp;F - Ciencia, Tecnol. y Futur]]></source>
<year>2020</year>
<volume>10</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>73-83</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>[18]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[D.C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Design and analysis of experiments]]></source>
<year>2008</year>
<edition>8th</edition>
<publisher-loc><![CDATA[Tempe ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley \&amp; Sons, USA]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<label>[19]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khalil]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Mohamed-Jan]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Aziz Abdul Raman]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional factorial design optimization of nontraditional completion fluid for perforation with underbalance]]></article-title>
<source><![CDATA[Chem. Technol. Fuels Oils]]></source>
<year>2010</year>
<volume>46</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>340-50</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>[20]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jeirani]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Mohamed-Jan]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Si-Ali]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Mohd-Noor]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Chun-Hwa]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Saphanuchart]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The optimal mixture design of experiments: Alternative method in optimizing the aqueous phase composition of a microemulsion]]></article-title>
<source><![CDATA[Chemom. Intell. Lab. Syst]]></source>
<year>2012</year>
<volume>112</volume>
<page-range>1-7</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>[21]</label><nlm-citation citation-type="">
<collab>API</collab>
<source><![CDATA[Recommended practices for evaluation of polymers used in enhanced oil recovery operations]]></source>
<year>1990</year>
</nlm-citation>
</ref>
<ref id="B22">
<label>[22]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cornell]]></surname>
<given-names><![CDATA[J.A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Experiments with mixtures: designs, models, and the analysis of mixture data]]></source>
<year>2011</year>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
