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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">99261</article-id>
   <article-id pub-id-type="doi">10.2205/2025ES001051</article-id>
   <article-id pub-id-type="edn">pbvbzc</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">Adjustment of the Local Gravimetric Network by Several Software Packages Using the Kazan Calibration Line as an Example</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Adjustment of the Local Gravimetric Network by Several Software Packages Using the Kazan Calibration Line as an Example</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-9868-8087</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кемербаев</surname>
       <given-names>Нурган </given-names>
      </name>
      <name xml:lang="en">
       <surname>Kemerbayev</surname>
       <given-names>Nurgan </given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0005-3668-3258</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Жумаканов</surname>
       <given-names>Аян </given-names>
      </name>
      <name xml:lang="en">
       <surname>Zhumakanov</surname>
       <given-names>Ayan </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-0696-3469</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Шкиева</surname>
       <given-names>Марал </given-names>
      </name>
      <name xml:lang="en">
       <surname>Shkiyeva</surname>
       <given-names>Maral </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2026-1550</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Харисов</surname>
       <given-names>Айрат </given-names>
      </name>
      <name xml:lang="en">
       <surname>Kharisov</surname>
       <given-names>Ayrat </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-8253-7349</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ислямова</surname>
       <given-names>Анель </given-names>
      </name>
      <name xml:lang="en">
       <surname>Islyamova</surname>
       <given-names>Anel' </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2938-0444</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сермягин</surname>
       <given-names>Роман </given-names>
      </name>
      <name xml:lang="en">
       <surname>Sermiagin</surname>
       <given-names>Roman </given-names>
      </name>
     </name-alternatives>
     <email>roman.sermiagin@gmail.com</email>
     <xref ref-type="aff" rid="aff-6"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0001-6920-5675</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Жанакулова</surname>
       <given-names>Катима </given-names>
      </name>
      <name xml:lang="en">
       <surname>Zhanakulova</surname>
       <given-names>Katima </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-7"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-6020-4025</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кален</surname>
       <given-names>Ералы </given-names>
      </name>
      <name xml:lang="en">
       <surname>Kalen</surname>
       <given-names>Eraly </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-8"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">ТОО &quot;GeoID&quot;</institution>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">GeoID LLP</institution>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">ТОО &quot;GeoID&quot;</institution>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">GeoID LLP</institution>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">ТОО &quot;GeoID&quot;</institution>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">GeoID LLP</institution>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Казанский (Приволжский) федеральный университет</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Kazan (Volga) Federal University</institution>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">РГП Национальный центр геодезии и пространственной информации</institution>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">RSE National Centre of Geodesy and Spatial Information</institution>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">РГП Национальный центр геодезии и пространственной информации</institution>
     <city>Астана</city>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">RSE National Centre of Geodesy and Spatial Information</institution>
     <city>Astana</city>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-7">
    <aff>
     <institution xml:lang="ru">Satbayev University</institution>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">Satbayev University</institution>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-8">
    <aff>
     <institution xml:lang="ru">ТОО Геокен</institution>
     <country>Казахстан</country>
    </aff>
    <aff>
     <institution xml:lang="en">Geoken LLC</institution>
     <country>Kazakhstan</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-09-22T00:00:00+03:00">
    <day>22</day>
    <month>09</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-09-22T00:00:00+03:00">
    <day>22</day>
    <month>09</month>
    <year>2025</year>
   </pub-date>
   <volume>25</volume>
   <issue>5</issue>
   <elocation-id>ES5006</elocation-id>
   <history>
    <date date-type="received" iso-8601-date="2025-05-27T00:00:00+03:00">
     <day>27</day>
     <month>05</month>
     <year>2025</year>
    </date>
    <date date-type="accepted" iso-8601-date="2025-07-30T00:00:00+03:00">
     <day>30</day>
     <month>07</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://rjes.ru/en/nauka/article/99261/view">https://rjes.ru/en/nauka/article/99261/view</self-uri>
   <abstract xml:lang="ru">
    <p>Processing and adjustment of gravity measurements represent an essential scientific and practical challenge in geophysics and geodesy, necessitating efficient and reliable software solutions. In this article, we review five modern open-source software packages for processing gravity measurements, namely GSAdjust, GRAVS2, gTools, GravRelAdj, and GRAVITAS. Additionally, adjustments were performed using a current Python library (statsmodels), which demonstrated good results, providing an objective comparison with the presented software products. The work is focused on optimizing the processing of data from relative and absolute gravity meters, including network adjustment with one fixed point and multiple fixed points. The comparison was conducted using high-precision gravity measurements obtained from the A10 absolute gravity meter and CG-5 relative gravity meters at the Kazan gravity calibration line. The obtained results indicate that GSAdjust and GRAVS2 offer the most promising balance between usability and reliability. GSAdjust provides a user-friendly graphical interface and supports a range of analysis tasks, while GRAVS2 offers speed and robustness, albeit with a command-line interface. A modernization of the GRAVS2 software product for automated processing of large volumes of data is proposed. The study also emphasizes the importance of synchronizing absolute and relative measurements, incorporating nonlinear vertical gradients, and implementing robust adjustment methods to enhance the accuracy and reliability of gravity network solutions.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Processing and adjustment of gravity measurements represent an essential scientific and practical challenge in geophysics and geodesy, necessitating efficient and reliable software solutions. In this article, we review five modern open-source software packages for processing gravity measurements, namely GSAdjust, GRAVS2, gTools, GravRelAdj, and GRAVITAS. Additionally, adjustments were performed using a current Python library (statsmodels), which demonstrated good results, providing an objective comparison with the presented software products. The work is focused on optimizing the processing of data from relative and absolute gravity meters, including network adjustment with one fixed point and multiple fixed points. The comparison was conducted using high-precision gravity measurements obtained from the A10 absolute gravity meter and CG-5 relative gravity meters at the Kazan gravity calibration line. The obtained results indicate that GSAdjust and GRAVS2 offer the most promising balance between usability and reliability. GSAdjust provides a user-friendly graphical interface and supports a range of analysis tasks, while GRAVS2 offers speed and robustness, albeit with a command-line interface. A modernization of the GRAVS2 software product for automated processing of large volumes of data is proposed. The study also emphasizes the importance of synchronizing absolute and relative measurements, incorporating nonlinear vertical gradients, and implementing robust adjustment methods to enhance the accuracy and reliability of gravity network solutions.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>gravity network</kwd>
    <kwd>gravity meter</kwd>
    <kwd>adjustment</kwd>
    <kwd>software</kwd>
    <kwd>Python</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>gravity network</kwd>
    <kwd>gravity meter</kwd>
    <kwd>adjustment</kwd>
    <kwd>software</kwd>
    <kwd>Python</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">This work was supported by the grant funding for scientific project “Development of a geoid model of the Republic of Kazakhstan as the basis of a unified state coordinate system and heights” (BR21882366).</funding-statement>
    <funding-statement xml:lang="en">This work was supported by the grant funding for scientific project “Development of a geoid model of the Republic of Kazakhstan as the basis of a unified state coordinate system and heights” (BR21882366).</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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