<?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>S0016-71692022000300181</article-id>
<article-id pub-id-type="doi">10.22201/igeof.00167169p.2022.61.3.2129</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Simulation of Stress Tests Using a Poroelastic Model to Estimate the Permeability Behavior of Bedford Limestone Samples]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vadillo-Sáenz]]></surname>
<given-names><![CDATA[Mario E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Díaz-Viera]]></surname>
<given-names><![CDATA[Martín A.]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Domínguez-Torres]]></surname>
<given-names><![CDATA[Aarón]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Serrano-Saldaña]]></surname>
<given-names><![CDATA[Enrique]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Coronado]]></surname>
<given-names><![CDATA[Manuel]]></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[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2022</year>
</pub-date>
<volume>61</volume>
<numero>3</numero>
<fpage>181</fpage>
<lpage>199</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0016-71692022000300181&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0016-71692022000300181&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0016-71692022000300181&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Due to its relevance in Geosciences, the stress effect on the dynamic rock properties has been studied experimentally and theoretically for several decades. These works have been oriented mainly to sand-stones, and relatively few to carbonate rocks, despite its relevance. On the other hand, the description of the phenomenon is mathematically and numerically complex since it involves the non-linear coupling of the fluid flow with the rock deformation. This work seeks to analyze that little-explored part of experimental tests in carbonates combined with its numerical simulation. It presents experimental tests carried out on Bedford limestone cores and analyzes the effect of confinement stress and fluid pressure (pore pressure) on its permeability, by two test types, known as hydrostatic (low shear stress) and not hydrostatic (high shear stress) tests. In this work, a mathematical model is presented to describe the phenomenon, considering a single-phase fluid, an elastic rock response, and its numerical implementation in finite elements. The coupling of fluid flow with stress is regularly modeled by algebraic relationships of porosity and permeability as a function of stress. A permeability-stress relationship used in this work depends linearly on volumetric strain and pore pressure. The experimental results show that in general, the permeability increases with fluid pressure and decreases with confinement stress. The reduction with the confinement stress is small in the range of confinement stresses analyzed, but it is noticeably more important in the non-hydrostatic tests (8%) than in the hydrostatic ones (2%). The model fitting to experimental data, specifically to the core pressure drop as a function of time, is carried out through the variation of the permeability-stress relationship parameters. The fitting parameters value differs from the reported value for sandstones, which may be indicative of the difference in the porous structure and mechanical properties of the rocks.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Por su relevancia en Geociencias, el efecto de los esfuerzos sobre las propiedades de flujo de fluido en rocas ha sido estudiado experimental y teóricamente por varias décadas. Los trabajos se han orientado principalmente a rocas tipo arenisca, y relativamente poco, a pesar de su relevancia, en rocas carbonatadas. Por otro lado, la descripción del fenómeno es matemática y numéricamente complejo, ya que involucra el acoplamiento no lineal del flujo de fluido con la deformación de la roca. En este trabajo se busca incursionar en esa parte poco explorada de pruebas experimentales en carbonato y su simulación numérica. En él se presentan pruebas experimentales realizadas en núcleos de caliza Bedford, y se analiza el efecto de los esfuerzos de confinamiento y de la presión del fluido (presión de poro) sobre la permeabilidad a través de dos tipos de pruebas, conocidas como hidrostáticas (bajos esfuerzos de corte) y no hidrostáticas (altos esfuerzos de corte). En este trabajo se presenta un modelo matemático para describir el fenómeno, considerando un fluido monofásico, una respuesta elástica de la roca, y su implementación numérica en elementos finitos. El acoplamiento del flujo de fluido con los esfuerzos se modela utilizando relaciones algebraicas de porosidad y permeabilidad en función del esfuerzo. La relación permeabilidad-esfuerzo utilizada en este trabajo depende linealmente de la deformación volumétrica y la presión de poro. Los resultados experimentales muestran que en general la permeabilidad se incrementa con la presión del fluido y se reduce con el esfuerzo de confinamiento. La reducción con el esfuerzo de confinamiento en el rango de esfuerzos de confinamiento analizado es relativamente pequeña, pero es notoriamente más importante en las pruebas no-hidrostáticas (8%) que en las hidrostáticas (2%). El ajuste del modelo a los resultados experimentales, específicamente a la caída de presión en el núcleo en función del tiempo, se realiza mediante la variación de los parámetros de la relación permeabilidad-esfuerzo. El valor de estos parámetros de ajuste difiere del valor reportado para areniscas, lo cual puede ser indicativo de la diferencia en la estructura porosa y las propiedades mecánicas de las rocas.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[simulación]]></kwd>
<kwd lng="es"><![CDATA[poroelasticidad]]></kwd>
<kwd lng="es"><![CDATA[prueba de esfuerzo y permeabilidad]]></kwd>
<kwd lng="en"><![CDATA[simulation]]></kwd>
<kwd lng="en"><![CDATA[poroelasticity]]></kwd>
<kwd lng="en"><![CDATA[stress test and permeability]]></kwd>
</kwd-group>
</article-meta>
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