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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Earth Sciences</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Earth Sciences</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Russian Journal of Earth Sciences</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">1681-1208</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">47104</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>ОРИГИНАЛЬНЫЕ СТАТЬИ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ORIGINAL ARTICLES</subject>
    </subj-group>
    <subj-group>
     <subject>ОРИГИНАЛЬНЫЕ СТАТЬИ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Thermodynamics of deep geophysical media</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Thermodynamics of deep geophysical media</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Pankov</surname>
       <given-names>V L</given-names>
      </name>
      <name xml:lang="en">
       <surname>Pankov</surname>
       <given-names>V L</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ullmann</surname>
       <given-names>W </given-names>
      </name>
      <name xml:lang="en">
       <surname>Ullmann</surname>
       <given-names>W </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Heinrich</surname>
       <given-names>R </given-names>
      </name>
      <name xml:lang="en">
       <surname>Heinrich</surname>
       <given-names>R </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Kracke</surname>
       <given-names>D </given-names>
      </name>
      <name xml:lang="en">
       <surname>Kracke</surname>
       <given-names>D </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Schmidt United Institute of Physics of the Earth, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Schmidt United Institute of Physics of the Earth, Russian Academy of Sciences</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Geoscience Institute, Friedrich Schiller University of Jena, Burweg, Jena, Germany</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Geoscience Institute, Friedrich Schiller University of Jena, Burweg, Jena, Germany</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Geoscience Institute, Friedrich Schiller University of Jena, Burweg, Jena, Germany</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Geoscience Institute, Friedrich Schiller University of Jena, Burweg, Jena, Germany</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Geoscience Institute, Friedrich Schiller University of Jena, Burweg, Jena, Germany</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Geoscience Institute, Friedrich Schiller University of Jena, Burweg, Jena, Germany</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <volume>1</volume>
   <issue>1</issue>
   <fpage>11</fpage>
   <lpage>49</lpage>
   <history>
    <date date-type="received" iso-8601-date="2021-11-11T00:53:44+03:00">
     <day>11</day>
     <month>11</month>
     <year>2021</year>
    </date>
   </history>
   <self-uri xlink:href="https://ras.editorum.ru/en/nauka/article/47104/view">https://ras.editorum.ru/en/nauka/article/47104/view</self-uri>
   <abstract xml:lang="ru">
    <p>Analysis of thermodynamic properties of geomaterials at high pressures and temperatures existing in the Earth's interior is presented. The presentation includes a summary on the determination of equations of state based on measured properties of minerals, as well as thermodynamic identities and approximate relations between thermodynamic parameters of the second, third, and in some instances, fourth orders. New expressions were derived for the volume dependences of the coefficient of thermal expansion, the Gr#xFC;neisen parameter, and the Anderson-Gr#xFC;neisen parameter. Attention is given to the preparation of the database on mineral properties. Several geophysical estimates, including the lower-mantle properties, were obtained. It was shown that the thermal expansivity decreases 4-5 times along the &quot;hot&quot; mantle adiabat as the pressure increases from 0 to 1.4 Mbar. Under the same conditions, the heat capacity CP drops about 10-15%. The thermal pressure at T &gt; Q is linear in temperature, with an accuracy of 1-3%. The parameter 2KT/ P T at P = 0 for mantle minerals was estimated to be 1-3 10-4K-1. The acceptable ranges of other lower-mantle parameters are dVT = K - dT 0.2, q 0.8, g 1.1, dT 3-3.3, and dS 1.9-2.2. Deviations from the Mie-Gr#xFC;neisen equation of state are discussed in relation to the volume- and temperature-dependent Gr#xFC;neisen parameter.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Analysis of thermodynamic properties of geomaterials at high pressures and temperatures existing in the Earth's interior is presented. The presentation includes a summary on the determination of equations of state based on measured properties of minerals, as well as thermodynamic identities and approximate relations between thermodynamic parameters of the second, third, and in some instances, fourth orders. New expressions were derived for the volume dependences of the coefficient of thermal expansion, the Gr#xFC;neisen parameter, and the Anderson-Gr#xFC;neisen parameter. Attention is given to the preparation of the database on mineral properties. Several geophysical estimates, including the lower-mantle properties, were obtained. It was shown that the thermal expansivity decreases 4-5 times along the &quot;hot&quot; mantle adiabat as the pressure increases from 0 to 1.4 Mbar. Under the same conditions, the heat capacity CP drops about 10-15%. The thermal pressure at T &gt; Q is linear in temperature, with an accuracy of 1-3%. The parameter 2KT/ P T at P = 0 for mantle minerals was estimated to be 1-3 10-4K-1. The acceptable ranges of other lower-mantle parameters are dVT = K - dT 0.2, q 0.8, g 1.1, dT 3-3.3, and dS 1.9-2.2. Deviations from the Mie-Gr#xFC;neisen equation of state are discussed in relation to the volume- and temperature-dependent Gr#xFC;neisen parameter.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>thermodynamics</kwd>
    <kwd>properties of geomaterials</kwd>
    <kwd>lower-mantle properties</kwd>
    <kwd>Earth's interior.</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>thermodynamics</kwd>
    <kwd>properties of geomaterials</kwd>
    <kwd>lower-mantle properties</kwd>
    <kwd>Earth's interior.</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
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