<?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>S0012-73532022000100054</article-id>
<article-id pub-id-type="doi">10.15446/dyna.v89n220.97093</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Numerical model for predicting and evaluating sand production in weakly consolidated reservoirs]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelo numérico para predecir y evaluar la producción de arena en yacimientos poco consolidados]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Araujo-Guerrero]]></surname>
<given-names><![CDATA[Edson Felipe]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Morales-Monsalve]]></surname>
<given-names><![CDATA[Cristhian Bernardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alzate-Espinosa]]></surname>
<given-names><![CDATA[Guillermo Arturo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Arbelaez-Londoño]]></surname>
<given-names><![CDATA[Alejandra]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Medellin ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Pontificia Universidade Católica do Rio de Janeiro Departamento de Ingeniería Civil y Medio Ambiente ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2022</year>
</pub-date>
<volume>89</volume>
<numero>220</numero>
<fpage>54</fpage>
<lpage>63</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0012-73532022000100054&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0012-73532022000100054&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0012-73532022000100054&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Sand production is a common phenomenon in oil and gas reservoirs, which occurs when reservoir fluids exert a sufficient drag force on reservoir rocks to erode the matrix. Numerical models for sand production have been used to understand the sanding mechanisms and forecast sand-production potential of formations to design well completion, optimize production, and prevent setbacks in future operations. This paper presents a mathematical model for defining the conditions of sanding onset as well as to predict and quantify the sand rate. We also introduce fluid-flow coupling and a geomechanical and sand-production model. By using the proposed model and a set of experimental data, sanding-related variables are analyzed, and a matching process for the simulated results and forecast analysis are performed. The results show that elastoplastic constitutive models are indispensable, and a clear relationship exists between the sanding and plastic strains.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La producción de arena es un fenómeno común en los yacimientos de petróleo y gas. Este ocurre cuando los fluidos del yacimiento aplican una fuerza de arrastre suficiente sobre la roca yacimiento para erosionar la matriz. Los modelos numéricos para la producción de arena se utilizan para comprender los mecanismos de arenamiento y pronosticar el potencial de producción de arena de las formaciones con el fin de diseñar la terminación del pozo, optimizar la producción y evitar contratiempos en las operaciones futuras. Este artículo presenta un modelo matemático para definir las condiciones para el inicio del arenamiento, así como la predicción y cuantificación de la tasa de arena, acoplando un modelo de flujo de fluido, un modelo geomecánico y de producción de arena. Utilizando el modelo presentado y un conjunto de datos experimentales, se analizan las variables relacionadas con el arenamiento y se realiza un proceso de comparación de los resultados simulados y un ejercicio de pronóstico. Los resultados muestran que los modelos constitutivos elastoplásticos son indispensables y existe una clara relación entre la producción de arena y las deformaciones plásticas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[geomechanics]]></kwd>
<kwd lng="en"><![CDATA[sanding]]></kwd>
<kwd lng="en"><![CDATA[numerical simulation]]></kwd>
<kwd lng="en"><![CDATA[elastoplasticity]]></kwd>
<kwd lng="en"><![CDATA[mathematical modeling]]></kwd>
<kwd lng="es"><![CDATA[geomecánica]]></kwd>
<kwd lng="es"><![CDATA[arenamiento]]></kwd>
<kwd lng="es"><![CDATA[simulación numérica]]></kwd>
<kwd lng="es"><![CDATA[elastoplasticidad]]></kwd>
<kwd lng="es"><![CDATA[modelamiento matemático]]></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[Nouri]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vaziri]]></surname>
<given-names><![CDATA[H.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Belhaj]]></surname>
<given-names><![CDATA[H.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Islam]]></surname>
<given-names><![CDATA[M.R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Comprehensive transient modeling of sand production in horizontal wellbores]]></article-title>
<source><![CDATA[SPE Journal]]></source>
<year>2007</year>
<volume>12</volume>
<numero>04</numero>
<issue>04</issue>
<page-range>468-74</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[Rahmati]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Jafarpour]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Azadbakht]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Nouri]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vaziri]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Chan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Xiao]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Review of sand production prediction models]]></article-title>
<source><![CDATA[Journal of Petroleum Engineering]]></source>
<year>2013</year>
</nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Morita]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Whitfill]]></surname>
<given-names><![CDATA[D.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Massie]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Knudsen]]></surname>
<given-names><![CDATA[T.W]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Realistic sand-production prediction: numerical approach]]></article-title>
<source><![CDATA[SPE Production Engineering]]></source>
<year>1989</year>
<volume>4</volume>
<numero>01</numero>
<issue>01</issue>
<page-range>15-24</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vardoulakis]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Stavropoulou]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Papanastasiou]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Hydro-mechanical aspects of the sand production problem]]></article-title>
<source><![CDATA[Transport in Porous Media]]></source>
<year>1996</year>
<volume>22</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>225-44</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[Detournay]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Numerical modeling of the slit mode of cavity evolution associated with sand production]]></article-title>
<source><![CDATA[SPE Journal]]></source>
<year>2009</year>
<volume>14</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>797-804</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Papamichos]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Vardoulakis]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Tronvoll]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Skjasrstein]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Volumetric sand production model and experiment]]></article-title>
<source><![CDATA[International Journal for Numerical and Analytical Methods in Geomechanics]]></source>
<year>2001</year>
<volume>25</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>789-808</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Walters]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Wan]]></surname>
<given-names><![CDATA[R.G.]]></given-names>
</name>
<name>
<surname><![CDATA[Settari]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Prediction of volumetric sand production and wellbore stability analysis of a well at different completion schemes]]></source>
<year>2005</year>
<conf-name><![CDATA[ Alaska Rocks 2005, The 40th US Symposium on Rock Mechanics (USRMS)]]></conf-name>
<conf-loc>Anchorage, Alaska, USA </conf-loc>
</nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gui]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Khaksar]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Zee]]></surname>
<given-names><![CDATA[W.V.D.]]></given-names>
</name>
<name>
<surname><![CDATA[Cadogan]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Improving the sanding evaluation accuracy by integrating core tests, field observations and numerical simulation]]></source>
<year>2016</year>
<conf-name><![CDATA[ SPE Asia Pacific Oil and Gas Conference and Exhibition]]></conf-name>
<conf-loc>Perth, Australia </conf-loc>
</nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santana]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Likrama]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[Workflow on incorporating thick-walled cylinder test results in finite element models of near wellbore for sanding prediction studies]]></source>
<year>2016</year>
<conf-name><![CDATA[ 50US Rock Mechanics/Geomechanics Symposium]]></conf-name>
<conf-loc>Houston, TX </conf-loc>
</nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Choi]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Denke]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Barton]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Viswanathan]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Lim]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Jadid]]></surname>
<given-names><![CDATA[M.B]]></given-names>
</name>
</person-group>
<source><![CDATA[A new and practical model for amount and rate of sand production estimation]]></source>
<year>2016</year>
<conf-name><![CDATA[ Offshore Technology Conference Asia. Offshore Technology Conference]]></conf-name>
<conf-loc>Malaysia </conf-loc>
</nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nouri]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kuru]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Vaziri]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Elastoplastic modelling of sand production using fracture energy regularization method]]></article-title>
<source><![CDATA[Journal of Canadian Petroleum Technology]]></source>
<year>2009</year>
<volume>48</volume>
<numero>04</numero>
<issue>04</issue>
<page-range>64-71</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kim]]></surname>
<given-names><![CDATA[S.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Sharma]]></surname>
<given-names><![CDATA[M.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Fitzpatrick]]></surname>
<given-names><![CDATA[H.J]]></given-names>
</name>
</person-group>
<source><![CDATA[A predictive model for sand production in poorly consolidated sands]]></source>
<year>2011</year>
<conf-name><![CDATA[ International Petroleum Technology Conference]]></conf-name>
<conf-loc>Bangkok, Thailand </conf-loc>
</nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhou]]></surname>
<given-names><![CDATA[Z.Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Yu]]></surname>
<given-names><![CDATA[A.B.]]></given-names>
</name>
<name>
<surname><![CDATA[Choi]]></surname>
<given-names><![CDATA[S.K]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Numerical simulation of the liquid-induced erosion in a weakly bonded sand assembly]]></article-title>
<source><![CDATA[Powder Technology]]></source>
<year>2011</year>
<volume>211</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>237-49</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Cardiff]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Sharma]]></surname>
<given-names><![CDATA[M.M]]></given-names>
</name>
</person-group>
<source><![CDATA[A 3-D poro-elasto-plastic model for sand production around open-hole and cased and perforated wellbores]]></source>
<year>2016</year>
<conf-name><![CDATA[ 50U.S. Rock Mechanics/Geomechanics Symposium]]></conf-name>
<conf-loc>Houston, TX </conf-loc>
</nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Sharma]]></surname>
<given-names><![CDATA[M.M]]></given-names>
</name>
</person-group>
<source><![CDATA[A fully 3-D, multi-phase, poro-elasto-plastic model for sand production]]></source>
<year>2016</year>
<conf-name><![CDATA[ SPE Annual Technical Conference and Exhibition]]></conf-name>
<conf-loc>Dubai, UAE </conf-loc>
</nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fan]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Quantification of sand production by use of a pressure-gradient-based sand failure criterion]]></source>
<year>2017</year>
<conf-name><![CDATA[ SPE Canada Heavy Oil Technical Conference]]></conf-name>
<conf-loc>Calgary, Alberta, Canada </conf-loc>
</nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[W.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Baladi]]></surname>
<given-names><![CDATA[G.Y.]]></given-names>
</name>
</person-group>
<source><![CDATA[Soil plasticity: theory and implementation]]></source>
<year>1985</year>
<volume>38</volume>
<publisher-name><![CDATA[Elsevier]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<label>[18]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nouri]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vaziri]]></surname>
<given-names><![CDATA[H.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Belhaj]]></surname>
<given-names><![CDATA[H.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Islam]]></surname>
<given-names><![CDATA[M.R]]></given-names>
</name>
</person-group>
<source><![CDATA[Sand-production prediction: a new set of criteria for modeling based on large-scale transient experiments and numerical investigation]]></source>
<year>2006</year>
<numero>11</numero>
<conf-name><![CDATA[ SPE Annual Technical Conference and Exhibition]]></conf-name>
<conf-loc> </conf-loc>
<issue>11</issue>
<page-range>227-37</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>[19]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghabezloo]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Sulem]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Saint-Marc]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Evaluation of a permeability-porosity relationship in a low-permeability creeping material using a single transient test]]></article-title>
<source><![CDATA[International Journal of Rock Mechanics and Mining Sciences]]></source>
<year>2009</year>
<volume>46</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>761-8</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
