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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="abstract"><?xmltex \bartext{S07: Geomechanics and structural modelling in the site selection process and safety assessment}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">SaND</journal-id><journal-title-group>
    <journal-title>Safety of Nuclear Waste Disposal</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SaND</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Saf. Nucl. Waste Disposal</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2749-4802</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/sand-2-59-2023</article-id><title-group><article-title>SpannEnD – a 3D geomechanical model of Germany for the prediction of the recent crustal stress state</article-title><alt-title>SpannEnD – a 3D geomechanical model of Germany</alt-title>
      </title-group><?xmltex \runningtitle{SpannEnD -- a 3D geomechanical model of Germany}?><?xmltex \runningauthor{S. Ahlers et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Ahlers</surname><given-names>Steffen</given-names></name>
          <email>ahlers@geo.tu-darmstadt.de</email>
        <ext-link>https://orcid.org/0000-0001-9094-0116</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Reiter</surname><given-names>Karsten</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4232-7426</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hergert</surname><given-names>Tobias</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Henk</surname><given-names>Andreas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Röckel</surname><given-names>Luisa</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7334-5200</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Morawietz</surname><given-names>Sophia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7653-4410</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Heidbach</surname><given-names>Oliver</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ziegler</surname><given-names>Moritz</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2288-2820</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Müller</surname><given-names>Birgit</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institut für Angewandte Geowissenschaften, TU Darmstadt, 64287
Darmstadt, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institut für Angewandte Geowissenschaften, KIT, 76131 Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Helmholtz Zentrum Potsdam, Deutsches GeoForschungsZentrum GFZ, 14473 Potsdam, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institut für Angewandte Geowissenschaften, TU Berlin, 10587
Berlin, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Steffen Ahlers (ahlers@geo.tu-darmstadt.de)</corresp></author-notes><pub-date><day>6</day><month>September</month><year>2023</year></pub-date>
      
      <volume>2</volume>
      <fpage>59</fpage><lpage>58</lpage>
      <history>
        <date date-type="received"><day>31</day><month>March</month><year>2023</year></date>
           <date date-type="accepted"><day>23</day><month>May</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Steffen Ahlers et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://sand.copernicus.org/articles/2/59/2023/sand-2-59-2023.html">This article is available from https://sand.copernicus.org/articles/2/59/2023/sand-2-59-2023.html</self-uri><self-uri xlink:href="https://sand.copernicus.org/articles/2/59/2023/sand-2-59-2023.pdf">The full text article is available as a PDF file from https://sand.copernicus.org/articles/2/59/2023/sand-2-59-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e168">The recent crustal stress state is a crucial parameter in the search for a high-level nuclear waste repository. It is relevant not only for site selection and short-term stability during operation but also for predicting long-term safety. However, the level of knowledge in this regard is still limited in Germany. It is based on stress orientations and stress regime information from the World Stress Map (WSM) project and pointwise stress magnitude records.</p>

      <p id="d1e171">We present the results of a 3D geomechanical numerical model that improves the state of knowledge by providing a continuum-mechanics-based prediction of the recent crustal stress field in Germany. The model extends over an area of <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1250</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, covering Germany and nearby regions. It contains 22 geological units, each parameterized with individual properties (density, Young's modulus and Poisson's ratio). We assume linear elasticity, and the finite element method is used to solve the equilibrium of forces. The model is calibrated with horizontal stress magnitude records and validated with additional data, for example, vertical stress magnitudes or data of the WSM project. Our model results are in a good agreement with a mean orientation of the maximum horizontal stress (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">Hmax</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) derived from the WSM, as indicated by a mean of the absolute differences of 12<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Furthermore, the model results lie entirely within the standard deviation of the derived orientation of <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">Hmax</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Mean values of the absolute stress differences between calibration data and model results of 4.6 MPa for the minimum horizontal stresses (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">Hmin</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and 6.4 MPa for the <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">Hmax</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> also show a good agreement.</p>

      <p id="d1e249">The model results can be used, for example, for the calculation of fracture
potential, for slip tendency analyses or as boundary conditions for smaller
local models. For smaller model volumes, where little or no stress information is available, it provides synthetic stress magnitude data that
can be used for calibration. As such, the model provides a valuable starting point for the detailed assessment of stability at yet-to-be-determined siting regions for a high-level nuclear waste repository.</p>
  </abstract>
    </article-meta>
  </front>
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    <back><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e257">The work has been supported by the project SpannEnD 2.0
(Spannungsmodell Endlagerung Deutschland) funded by the Federal Company for Radioactive Waste Disposal (BGE).</p>
  </notes></back>
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