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  <front>
    <journal-meta><journal-id journal-id-type="publisher">SE</journal-id><journal-title-group>
    <journal-title>Solid Earth</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SE</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Solid Earth</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1869-9529</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/se-17-735-2026</article-id><title-group><article-title>Patterns of contemporary horizontal stress orientation in the Earth's crust derived from the World Stress Map Database 2025</article-title><alt-title>Patterns of contemporary horizontal stress orientation in the Earth's crust</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Heidbach</surname><given-names>Oliver</given-names></name>
          <email>heidbach@gfz.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3">
          <name><surname>Rajabi</surname><given-names>Mojtaba</given-names></name>
          <email>m.rajabi@uq.edu.au</email>
        <ext-link>https://orcid.org/0000-0002-0114-3199</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>GFZ Helmholtz Centre for Geosciences, Telegrafenberg, 14473 Potsdam, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Applied Geosciences, TU Berlin, Ernst-Reuter-Platz 1, 10587 Berlin, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of the Environment, the University of Queensland, Saint Lucia, Queensland,  4072, Australia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Oliver Heidbach (heidbach@gfz.de) and Mojtaba Rajabi (m.rajabi@uq.edu.au)</corresp></author-notes><pub-date><day>12</day><month>May</month><year>2026</year></pub-date>
      
      <volume>17</volume>
      <issue>5</issue>
      <fpage>735</fpage><lpage>745</lpage>
      <history>
        <date date-type="received"><day>6</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>23</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>30</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>1</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Oliver Heidbach</copyright-statement>
        <copyright-year>2026</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://se.copernicus.org/articles/17/735/2026/se-17-735-2026.html">This article is available from https://se.copernicus.org/articles/17/735/2026/se-17-735-2026.html</self-uri><self-uri xlink:href="https://se.copernicus.org/articles/17/735/2026/se-17-735-2026.pdf">The full text article is available as a PDF file from https://se.copernicus.org/articles/17/735/2026/se-17-735-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e104">Knowledge of the present-day stress field of the Earth's crust is essential for understanding geodynamic processes, as well as for the exploration and management of geo-reservoirs. The World Stress Map (WSM) project provides the only open-access global database of crustal stress information. To mark the project's 40th anniversary, the WSM database has been substantially updated, and now contains more than twice the number of data records on the orientation of maximum horizontal stress (<inline-formula><mml:math id="M1" 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>) in comparison to the previous release in 2016. The new database includes 100 842 quality-ranked data records documenting the <inline-formula><mml:math id="M2" 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> orientation in the Earth's crust. As stress data records are clustered around plate boundaries and in sedimentary basins, we provide mean <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> orientation estimates on regular global grids of 2, 1, 0.5 and 0.2° using search radii between 50   and 500 km to facilitate the analysis of stress patterns. The results reveal that in intraplate regions, where stress data density has increased significantly, the earlier hypothesis that plate boundary forces and relative plate motion primarily control the <inline-formula><mml:math id="M4" 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> orientation needs to be revised. The <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> orientation rotates in some areas by more than 50° over spatial scales of 50–500 km. Two notable examples include an <inline-formula><mml:math id="M6" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50° rotation of 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> orientation in the Alpine foreland, from N–S in the East to NW–SE in the West, and <inline-formula><mml:math id="M8" 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> orientation rotations <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 50° over distances of less than 100 km in eastern Australia.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Australian Research Council</funding-source>
<award-id>DE200101361</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e211">The present-day stress field of the Earth's crust is a key physical quantity for understanding geodynamic processes, such as global plate tectonics and earthquakes. With the anticipated increase in subsurface use, such as the exploration of deep geothermal reservoirs and geo-energy storage, new and modified utilisation concepts place additional demands on geomechanical integrity and long-term stability, making knowledge of crustal stress equally essential for applied research (Segall and Fitzgerald, 1998; Henk, 2008; Zoback, 2010; Addis, 2017; Ziegler et al., 2024).</p>
      <p id="d2e214">Stress data for the upper crust were first collected in the 1930s using surface relief methods. In the 1950s, flat jack and borehole relief methods were introduced, followed by hydraulic fracturing in the 1970s to measure the magnitude of the least principal stress (Amadei and Stephansson, 1997). The late 1970s saw the use of borehole breakouts as an additional stress indicator (Bell and Gough, 1979; Hottman et al., 1979; Plumb and Hickman, 1985). Furthermore, the expansion of global seismological networks in the 1960s led to increased use of earthquake focal mechanisms as stress indicators for the deeper part of the Earth's crust (Dziewonski et al., 1981). These advancements, along with other stress indicators from engineering, geological, and geophysical methods, ultimately led to the initiation of the World Stress Map (WSM) project in 1986 as a task force of the International Lithosphere Program.</p>
      <p id="d2e217">The initial objective of the WSM was to test Voigth's mid-1960s hypothesis that plate tectonics forces predominantly control the orientation of the maximum horizontal stress (<inline-formula><mml:math id="M10" 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>) in the Earth's crust (Voight et al., 1968). This hypothesis was broadly supported by the first release of the WSM database in 1989, which included 3574 quality-ranked data records (Zoback et al., 1989). However, the subsequent 1992 release, containing approximately 7300 data records, already revealed second-order contributions from lateral density and strength contrasts, producing stress patterns of the <inline-formula><mml:math id="M11" 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> orientation with wavelengths on the order of several hundred kilometres (Zoback, 1992). The further expanded WSM database 2005, comprising 15 969 data records, confirmed these second-order patterns and also showed examples for rotations of the <inline-formula><mml:math id="M12" 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> orientation on smaller scales (Heidbach et al., 2007). The new 2025 release of the WSM, with 100 842 data records, allows these local rotations to be resolved in greater detail.</p>
      <p id="d2e253">This paper presents the 2025 database release of the WSM project based on a revised quality-ranking scheme for <inline-formula><mml:math id="M13" 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> orientation data records. Because data records are strongly clustered, we also provide 13 datasets of the mean <inline-formula><mml:math id="M14" 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> orientation on global grids, filtered for different wavelengths of the crustal stress pattern of the <inline-formula><mml:math id="M15" 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> orientation.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>New World Stress Map 2025 based on an update of the quality-ranking scheme</title>
      <p id="d2e297">The backbone of the WSM is its quality-ranking scheme for the data records, which enables the integration of rock stress information from different methods that sample very different rock volumes (Ljunggren et al., 2003). Most techniques used to estimate individual components of the 3D stress tensor rely on observed deformations, from which the relevant stress information is derived (Amadei and Stephansson, 1997; Zang and Stephansson, 2010; Zoback, 2010; Schmitt et al., 2012). The only exception is microhydraulic fracturing tests in boreholes, where fluid pressure is directly measured as an equivalent of the minimum principal stress magnitude (Thiercelin et al., 1996; Haimson and Cornet, 2003; Schmitt and Haimson, 2018; Desroches et al., 2023). For this reason, the WSM uses the term <italic>stress indicator</italic> for the applied methods rather than <italic>stress measurement</italic>.</p>
      <p id="d2e306">Since the WSM aims at in-situ stress, i.e. the undisturbed stress field, some of the relief methods, flat jack and borehole slotter are not used. These methods are performed close to a free surface (borehole, cavern, tunnel) which means that they are probably affected by induced stress changes to some extend (Amadei and Stephansson, 1997). The WSM employs eight established stress indicators: overcoring (OC), hydraulic fracturing (HF), borehole breakout (BO), drilling induced tensile fracture (DIF), geological fault slip (GFI), volcanic alignments (GVA), single earthquake focal mechanism (FMS), and inversion of several earthquake focal mechanisms (FMF) (Zoback and Zoback, 1991; Zoback, 1992; Sperner et al., 2003; Rajabi et al., 2025). These stress indicators act on spatial scales ranging from 10<sup>−3</sup> m<sup>3</sup> (OC) to 10<sup>9</sup> m<sup>3</sup> (FMS) (Ljunggren et al., 2003; Zang and Stephansson, 2010). Each method also carries implicit assumptions about how stress information is derived. To enable the integration of these diverse stress indicators, the WSM uses a quality-ranking scheme based on the number, accuracy, and depth of the information provided.</p>
      <p id="d2e348">The quality-ranking scheme was initially introduced by  Zoback and Zoback (1989), summarized by Mary-Lou Zoback (1992), refined and extended by Sperner et al. (2003), and updated by Heidbach et al. (2010). Each data record is assigned a quality between A and E, with A representing the highest quality and E the lowest. An A-quality indicates that the <inline-formula><mml:math id="M20" 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> orientation is accurate within <inline-formula><mml:math id="M21" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>15°, B-quality within <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>°, C-quality within <inline-formula><mml:math id="M23" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>25°, and D-quality within <inline-formula><mml:math id="M24" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>40°. For most stress indicators, these quality classes are defined based on the standard deviation of the <inline-formula><mml:math id="M25" 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> orientation, with E-quality data records typically exceeding a standard deviation of 40°. In general, data records assigned to A-, B-, and C-quality classes are considered reliable for analysing stress patterns and interpreting geodynamic processes.</p>
      <p id="d2e405">For the 2025 release of the WSM, the quality-ranking scheme was refined to reflect the latest technical developments and to define clear rules for quality assignment in a format suitable for implementation in Python routines to enable the automated assignment of quality in the new WSM database infrastructure MaRS (Management and Repository of Stress) (Rajabi et al., 2025). The updated version presented in Table 1 contains the following changes in comparison to the version from 2010 presented by Heidbach et al. (2010):</p>
      <p id="d2e409"><list list-type="bullet">
          <list-item>

      <p id="d2e414">Introduction of a <inline-formula><mml:math id="M26" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>-quality class with three sub-classes. <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">mi</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: Data records with missing information needed for a final quality assignment. <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">ru</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: Data records derived from rarely used stress indicators. <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">ne</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: Data records derived from stress indicators that are not well established yet.</p>
          </list-item>
          <list-item>

      <p id="d2e460">Removal of the three rarely used stress indicator borehole slotter (BS), average of focal mechanisms (FMA), and petal centerlines (PC) from the quality-ranking scheme. This affected 464 data records and most of them are from FMA data records (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 429). For book-keeping purposes these data records are now assigned to the <inline-formula><mml:math id="M31" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>-quality sub-class <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">ru</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
          </list-item>
          <list-item>

      <p id="d2e494">Refinement of the rules for assessing D- or E-quality to stress indicator data records derived from BOs, DIFs, HFs and OCs. In the earlier versions, the criteria was not clear. For example, for BO data records derived from caliper logs, it was stated that a D-quality could be assigned if fewer than four breakouts were detected, or if the combined BO length was less than 30 m (and a standard deviation <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 40°). This allowed even a single very short BO to be classified as D-quality, which is not meaningful. This has now been revised accordingly (see Table 1).</p>
          </list-item>
          <list-item>

      <p id="d2e507">Addition of a requirement for the OC data records, explicitly stating that the measurement must be obtained from a site located at least twice the excavation radius away.</p>
          </list-item>
          <list-item>

      <p id="d2e513">Addition of a requirement for the GVA data records, now explicitly providing the number of vents and the number of volcanic alignments.</p>
          </list-item>
        </list>Further details on the updated WSM quality-ranking scheme, descriptions of stress indicators, new guidelines for the analysing of borehole logs, and technical details of the WSM 2025 database are provided in the WSM Technical Report 25-01 (Rajabi et al., 2025).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e522">New WSM quality ranking scheme 2025. s.d. denotes standard deviation and <inline-formula><mml:math id="M34" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> the magnitude of the earthquake.</p></caption>
  <graphic xlink:href="https://se.copernicus.org/articles/17/735/2026/se-17-735-2026-t01.png"/>
</table-wrap>

      <p id="d2e537">As outlined above, the new WSM 2025 database contains 100 842 data records (Table 2), more than double the number in the previous 2016 release (Heidbach et al., 2018). This expansion is largely due to the integration of the global compilation of earthquake focal mechanisms from the International Seismological Commission (ISC) (Lentas et al., 2019), and the addition of more than 4000 new data records derived from boreholes across the world.</p>
      <p id="d2e540">Furthermore, in this WSM release, the earlier depth limit of 40 km for data compilation has been replaced by a global crustal model from Szwillus et al. (2019) to determine if an FMS data record lies within or below the crust. According to this model, the thickness of the crust varies between 7.2 and 74.9 km, with standard deviations between 0.1 and 11.9 km. We used the reported hypocentral depth and its standard deviation to assess whether an earthquake occurred within the crust or not. For certain special study areas that have been investigated in more detail, comprehensive local compilations of earthquake focal mechanisms are used instead of the ISC dataset for the relevant time period. Full details and references for these areas are provided in the WSM Technical Report WSM TR 25-01 (Rajabi et al., 2025).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e546">Data records of the new WSM database 2025 sorted in classes of data quality and stress indicators. The discrepancy of 792 data records to the entire WSM 2025 dataset with 100 842 data records is due to the missing data records from stress indicators that are rarely used (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">ru</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-quality for BS, PC, FMA) and those from methods that are not yet established as reliable stress indicators (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi mathvariant="normal">ne</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-quality). Details are given the WSM Technical Report TR 25-01 (Rajabi et al., 2025).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Stress indicator/Data quality</oasis:entry>
         <oasis:entry colname="col2">A</oasis:entry>
         <oasis:entry colname="col3">B</oasis:entry>
         <oasis:entry colname="col4">C</oasis:entry>
         <oasis:entry colname="col5">D</oasis:entry>
         <oasis:entry colname="col6">E</oasis:entry>
         <oasis:entry colname="col7">X<sub>mi</sub></oasis:entry>
         <oasis:entry colname="col8">Total</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Overcoring (OC)</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">64</oasis:entry>
         <oasis:entry colname="col5">239</oasis:entry>
         <oasis:entry colname="col6">576</oasis:entry>
         <oasis:entry colname="col7">14</oasis:entry>
         <oasis:entry colname="col8">925</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hydraulic Fracturing (HF)</oasis:entry>
         <oasis:entry colname="col2">65</oasis:entry>
         <oasis:entry colname="col3">117</oasis:entry>
         <oasis:entry colname="col4">168</oasis:entry>
         <oasis:entry colname="col5">445</oasis:entry>
         <oasis:entry colname="col6">140</oasis:entry>
         <oasis:entry colname="col7">125</oasis:entry>
         <oasis:entry colname="col8">1060</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Borehole Breakout (BO)</oasis:entry>
         <oasis:entry colname="col2">385</oasis:entry>
         <oasis:entry colname="col3">1099</oasis:entry>
         <oasis:entry colname="col4">1728</oasis:entry>
         <oasis:entry colname="col5">2455</oasis:entry>
         <oasis:entry colname="col6">1674</oasis:entry>
         <oasis:entry colname="col7">124</oasis:entry>
         <oasis:entry colname="col8">7465</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Drilling Induced Tensile Fracture (DIF)</oasis:entry>
         <oasis:entry colname="col2">205</oasis:entry>
         <oasis:entry colname="col3">309</oasis:entry>
         <oasis:entry colname="col4">257</oasis:entry>
         <oasis:entry colname="col5">818</oasis:entry>
         <oasis:entry colname="col6">111</oasis:entry>
         <oasis:entry colname="col7">89</oasis:entry>
         <oasis:entry colname="col8">1789</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Geological Fault Inversion (GFI)</oasis:entry>
         <oasis:entry colname="col2">137</oasis:entry>
         <oasis:entry colname="col3">144</oasis:entry>
         <oasis:entry colname="col4">237</oasis:entry>
         <oasis:entry colname="col5">156</oasis:entry>
         <oasis:entry colname="col6">515</oasis:entry>
         <oasis:entry colname="col7">31</oasis:entry>
         <oasis:entry colname="col8">1220</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Geological Volcanic Alignment (GVA)</oasis:entry>
         <oasis:entry colname="col2">23</oasis:entry>
         <oasis:entry colname="col3">26</oasis:entry>
         <oasis:entry colname="col4">89</oasis:entry>
         <oasis:entry colname="col5">8</oasis:entry>
         <oasis:entry colname="col6">119</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">265</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Focal Mechanism Single (FMS)</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">71 152</oasis:entry>
         <oasis:entry colname="col5">4804</oasis:entry>
         <oasis:entry colname="col6">9993</oasis:entry>
         <oasis:entry colname="col7">7</oasis:entry>
         <oasis:entry colname="col8">85 956</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Inversion of Focal Mechanisms (FMF)</oasis:entry>
         <oasis:entry colname="col2">940</oasis:entry>
         <oasis:entry colname="col3">183</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">169</oasis:entry>
         <oasis:entry colname="col7">78</oasis:entry>
         <oasis:entry colname="col8">1370</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">1757</oasis:entry>
         <oasis:entry colname="col3">1898</oasis:entry>
         <oasis:entry colname="col4">73 710</oasis:entry>
         <oasis:entry colname="col5">8925</oasis:entry>
         <oasis:entry colname="col6">13 278</oasis:entry>
         <oasis:entry colname="col7">478</oasis:entry>
         <oasis:entry colname="col8">100 050</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e889">Figure 1 presents the global stress map using the 77 365 A-C quality data records from the new WSM 2025 database. Plotting the data of the entire crust in map view is justified, as rotation of the <inline-formula><mml:math id="M38" 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> orientation with depth is not observed beyond the prevailing standard deviation of the data records. Exceptions are observed in some boreholes when they are drilled through faults, such as the San Andreas fault (Hickman and Zoback, 2004) or intraplate settings (Rajabi et al., 2016; Rajabi et al., 2017b; Heidbach et al., 2025) or in areas with mechanical decoupling horizons (Tingay et al., 2009, 2011). However, the vast majority of data from deep boreholes show no significant rotation of the <inline-formula><mml:math id="M39" 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> orientation with depth. Likewise, no systematic rotation of <inline-formula><mml:math id="M40" 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> orientations is observed when comparing borehole data from the upper crust with data records derived from earthquake focal mechanisms from greater depth, confirming this earlier observation (Zoback, 1992; Heidbach et al., 2010; Pierdominici and Heidbach, 2012; Heidbach et al.; 2025).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e927">World Stress Map 2025. Lines indicate the orientation of maximum horizontal stress (<inline-formula><mml:math id="M41" 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>). Colours of the lines indicate normal faulting stress regime (red), strike-slip stress regime (green), thrust faulting stress regime (blue), and black for unknown stress regime. Displayed are the 77 365 data records with A-C quality. Grey lines are the plate boundaries from the global tectonic model PB2002 of Bird (2003). Topography and bathymetry is taken from Tozer et al. (2019). Plotting order of the data is from deep to shallow.</p></caption>
        <graphic xlink:href="https://se.copernicus.org/articles/17/735/2026/se-17-735-2026-f01.jpg"/>

      </fig>

      <p id="d2e947">The data on Fig. 1 are plotted according to their depth resulting in a map where the shallowest data are plotted on top. The azimuth of the lines in Fig. 1 represent the <inline-formula><mml:math id="M42" 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> orientation, and the colour of the lines indicate the stress regime. The vast majority of data records with stress regime assignment are from earthquake focal mechanisms, which means that the displayed stress regime reflects conditions at greater depths. However, analysis of stress magnitudes in several boreholes around the world have shown that the stress regime changes with depth (Brudy et al., 1997; Rajabi et al., 2017a; Qin et al., 2024; NAGRA, 2024). The horizontal stress magnitudes are controlled by gravity and lateral surface forces from the plate boundaries, whereas the vertical stress, <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is controlled by gravity. Thus, at shallow depths, the horizontal stress magnitudes are larger than <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, resulting in a thrust faulting stress regime. Consequently, the stress regime shown in the maps represent the conditions prevailing at the depths where earthquakes nucleate, not necessarily those at shallow depth of a few kilometres, where is most relevant for practical applications in geo-reservoirs. This is particularly important for deep geological repositories for radioactive waste, which are typically planned at depth between 400–1000 m, where stress regime changes are more likely (Hergert et al., 2015; NAGRA, 2024) and can directly impact the design of underground facilities (Fuchs and Müller, 2001; Brady and Brown, 2004).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Global stress patterns using the mean <inline-formula><mml:math id="M45" 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> orientation on regular grids</title>
      <p id="d2e1003">As shown in Fig. 1, most stress data records are clustered around plate boundaries and within sedimentary basins. To analyse the pattern of <inline-formula><mml:math id="M46" 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> orientation across different spatial scales, we provide estimates of the mean <inline-formula><mml:math id="M47" 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> orientation on regular global grids of 2, 1, 0.5 and 0.2°. The mean <inline-formula><mml:math id="M48" 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> orientation and its standard deviation (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), on these grids, are calculated using circular statistics for axial data (Mardia and Jupp, 2000):

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M50" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">mean</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">Hmax</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>arctan⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:mover accent="true"><mml:mi>S</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mi>C</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">mod</mml:mi><mml:mn mathvariant="normal">180</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>s</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:msqrt><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>log⁡</mml:mi><mml:mi>e</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>R</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:msqrt><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">180</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

        with

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M51" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mover accent="true"><mml:mi>R</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mover accent="true"><mml:mi>C</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mover accent="true"><mml:mi>S</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mover accent="true"><mml:mi>C</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>Z</mml:mi></mml:mfrac></mml:mstyle><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi>cos⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mover accent="true"><mml:mi>S</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>Z</mml:mi></mml:mfrac></mml:mstyle><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi>sin⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

        where <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math id="M53" 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> orientation of individual data records <inline-formula><mml:math id="M54" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> among the total number <inline-formula><mml:math id="M55" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> of data records, and <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the weighting coefficient used to calculate the mean <inline-formula><mml:math id="M57" 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> orientation. The value for the mean <inline-formula><mml:math id="M58" 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> orientation is estimated for a given search radius and a minimum required number of data records within that radius. For the estimation of the mean <inline-formula><mml:math id="M59" 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> orientation we use the tool <italic>stress2grid v1.1</italic> from Ziegler and Heidbach (2019).</p>
      <p id="d2e1390">Using a fixed search radius effectively filters the pattern of the <inline-formula><mml:math id="M60" 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> orientation according to the wavelength defined by the chosen search radius and, thus, does not resolve rotations of the mean <inline-formula><mml:math id="M61" 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> orientation at spatial scales smaller than the employed search radius. Therefore, we provide 13 global datasets of the mean <inline-formula><mml:math id="M62" 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> orientation calculated with search radii of 500, 250, 100, and 50 km (Heidbach and Rajabi, 2026). We use grids of 2, 1, 0.5, and 0.2° for the search radius of 500  and 250 km, and grids of 1, 0.5, and 0.2° for the 100 km search radius. For the 50 km search radius we only use grids of 0.5 and 0.2°. Within each search radius, a minimum of five data records is required and that these data records are located on the same tectonic plate as the grid point using the global plate boundary model PB2002 from Bird (2003).</p>
      <p id="d2e1426">The significance of the mean <inline-formula><mml:math id="M63" 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> orientation estimates in the 13 datasets is further improved by weighting the input data using two parameters:</p>
      <p id="d2e1441">Data quality weighting with <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>Q</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>1/15 for A-, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>Q</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> for B-, and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>Q</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> for C-quality data.</p>
      <p id="d2e1495">Inverse distance weighting relative to the grid point. This assumes that the closer a data record is to a grid point, the more strongly the stress state at the grid point influences that data record. Consequently, the contribution of an individual data record to the mean <inline-formula><mml:math id="M67" 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> orientation increases as its distance from the grid point decreases. To avoid that data records located very close to a grid point are overrepresented by the distance weight, a minimum distance threshold is applied so that all data records within 10 % of the search radius are assigned the same weighting coefficient (Ziegler and Heidbach, 2019).</p>
      <p id="d2e1509">Figure 2 presents a global stress map of the mean <inline-formula><mml:math id="M68" 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> orientation using the dataset of the 2° grid with a search radius of 500 km. The map shows that within intraplate regions, substantial rotations of the <inline-formula><mml:math id="M69" 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> orientation occur. This observation now confirms, with the data, the earlier hypothesis that second-order effects arising from lateral variations in rock stiffness and density can cause rotations of the <inline-formula><mml:math id="M70" 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> orientation, locally overriding the primary control of plate tectonic forces (Zoback, 1992; Heidbach et al., 2007; Rajabi et al., 2017c).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1547">Mean <inline-formula><mml:math id="M71" 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> orientation on a 2° grid using the search radius of 500 km and the A–C quality data displayed in Fig. 1. Black lines are the plate boundaries from the global plate boundary model PB2002 (Bird, 2003). Global topography and bathymetry is from Tozer et al. (2019).</p></caption>
        <graphic xlink:href="https://se.copernicus.org/articles/17/735/2026/se-17-735-2026-f02.jpg"/>

      </fig>

      <p id="d2e1567">This effect is particularly evident in the forelands of high topography, where the excess of gravitational potential energy results in <inline-formula><mml:math id="M72" 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> orientations perpendicular to the strike of the mountain belts (Zoback and Mooney, 2003). In the Alpine foreland, for example, the <inline-formula><mml:math id="M73" 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> orientation rotates by approximately 50° from a north-south in the east to about N130° E in the Western Alps (Fig. 3) as explained earlier by Reinecker et al. (2010) and in more detail by Heidbach et al. (2025) for Switzerland and its surrounding areas, and in the western part of Austria by Levi et al. (2019). Comparable stress patterns are observed for example in the greater Himalaya region (Hu et al., 2017) and in the Rocky Mountains of Canada (Reiter et al., 2014). Besides this obvious topography control there are also intraplate regions with low lateral density contrasts, i.e. low topography, that show rotations of the <inline-formula><mml:math id="M74" 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> orientation on spatial scales of hundreds of kilometres or less.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1606">Stress map of the Alpine foreland. Black and coloured lines indicate data records of the orientation of maximum horizontal stress (<inline-formula><mml:math id="M75" 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>) with A–C quality. Line length is according to data quality and their colours mark the stress regime with red for normal faulting (NF), green for strike-slip faulting (SS), blue for thrust faulting (TF), and black for unknown stress regime (U). White bars on the 0.2° grid show the dataset of the mean <inline-formula><mml:math id="M76" 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> orientation with a search radius of 50 km. Dashed black line denote the national boundaries.</p></caption>
        <graphic xlink:href="https://se.copernicus.org/articles/17/735/2026/se-17-735-2026-f03.jpg"/>

      </fig>

      <p id="d2e1637">Another prominent example for very well data-based documented intraplate rotation of the <inline-formula><mml:math id="M77" 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> orientation is eastern Australia (Fig. 4). Mean <inline-formula><mml:math id="M78" 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> orientation estimated using a 50 km search radius on a 0.2° grid reveals rotations exceeding 50° over distances of <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 100 km. The northern part of the Bowen Basin in north-eastern to eastern Australia provides insight into why some regions exhibit large rotations of the <inline-formula><mml:math id="M80" 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> orientation whereas others do not. An exceptionally dense dataset from 680 vertical boreholes distributed over an area of <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mn mathvariant="normal">300</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> km<sup>2</sup> shows no lateral or vertical variation in <inline-formula><mml:math id="M83" 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> orientation despite the presence of a fault network and lateral stiffness contrast (Rajabi et al., 2024). The mean <inline-formula><mml:math id="M84" 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> orientation for the entire dataset of this region is N18° E with a standard deviation of <inline-formula><mml:math id="M85" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>18°. By contrast, further south in the southern part of the Bowen Basin and in the overlying Surat Basin, the <inline-formula><mml:math id="M86" 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> orientation rotates by up to 60° within 100 km are observed (Rajabi et al., 2017b, c).</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1744">Stress map of north-eastern to eastern Australia. Black and coloured lines indicate data records of the orientation of maximum horizontal stress (<inline-formula><mml:math id="M87" 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>) with A–C quality. Line length is according to data quality and their colours mark the stress regime with red for normal faulting (NF), green for strike-slip faulting (SS), blue for thrust faulting (TF), and black for unknown stress regime (U). White bars on the 0.2° grid show the dataset of the mean <inline-formula><mml:math id="M88" 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> orientation with a search radius of 50 km.</p></caption>
        <graphic xlink:href="https://se.copernicus.org/articles/17/735/2026/se-17-735-2026-f04.jpg"/>

      </fig>

      <p id="d2e1775">Similar intraplate rotations of the <inline-formula><mml:math id="M89" 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> orientation are also identified in the greater Texas-New Mexico region, where the data density is also high (Lund Snee and Zoback, 2020). In both regions, these rotations also occur in the absence of significant topography and show no correlation with fault occurrence. Moreover, the rotations are gradual, supporting the interpretation that faults exert limited control on the stress field beyond distances of a few kilometres, if at all (Reiter et al., 2024; Velagala et al., 2026). Since the data density even in areas with high resolution is only on the order of one data record per 100 km<sup>2</sup>, rotations of the <inline-formula><mml:math id="M91" 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> orientation on lateral spatial scales <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 10 km cannot be resolved. Furthermore, the rotation should be larger than the standard deviation of individual data records, which is for most data records <inline-formula><mml:math id="M93" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20–25°.</p>
      <p id="d2e1823">Nevertheless, there are still large intraplate regions such as central western Europe or north-eastern North America that show remarkably uniform <inline-formula><mml:math id="M94" 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> orientation over distances <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 1000 km, parallel to the direction of absolute plate motion (Zoback, 1992; Müller et al., 1992). Here, plate tectonic forces are the key control for the <inline-formula><mml:math id="M96" 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> orientation and for the large differences in horizontal stress magnitudes. However, in regions where several plate tectonic forces superimpose such that the horizontal differential stress between the magnitudes of the minimum horizontal stress <inline-formula><mml:math id="M97" 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 <inline-formula><mml:math id="M98" 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> is small, regional and local topography as well as stiffness contrasts exert a relatively stronger control on the <inline-formula><mml:math id="M99" 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> orientation. For example, in north-eastern Australia, plate tectonic forces along the Solomon subduction and the New Guinea collision zone appear to dominate the stress pattern, whereas further south, superposition with the plate tectonic forces related to the New Hebrides subduction zone may generate a stress state characterized by low horizontal stress differences. In such a setting, regional and local stress-controlling factors have a relatively larger impact and can lead to substantial rotations of the <inline-formula><mml:math id="M100" 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> orientation (Ziegler et al., 2017).</p>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions and outlook</title>
      <p id="d2e1909">With increasing resolution, the number of intraplate regions that shows rotations of the <inline-formula><mml:math id="M101" 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> orientation at spatial scales between 50 and 500 km is also increasing. These rotations can be used as proxies, together with geomechanical-numerical models, to quantify the relative importance of plate boundary forces that control the long wavelength pattern in comparison to regional and local controls of the crustal stress state. These rotations also have significant implications for evaluating tectonic fault criticality and for ensuring the safe and efficient application of subsurface technologies essential to the energy transition (Segall and Fitzgerald, 1998; Jolie et al., 2021; Ahlers et al., 2021; Ziegler et al., 2024). A detailed assessment of the relative contributions of plate tectonic forces, gravitational potential energy, and regional to local stiffness contrasts requires geomechanical-numerical modelling (Rajabi et al., 2017b; Coblentz et al., 2024; Peña Clavijo et al., 2024). In regions displaying significant lateral rotations of the <inline-formula><mml:math id="M102" 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> orientation, such observations provide valuable constraints on model parameters and model boundary conditions (Ziegler et al., 2017; Reiter, 2021). However, in regions with sparse data coverage or uniform <inline-formula><mml:math id="M103" 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> orientation, stress magnitudes data become essential for geomechanical model calibration (Lecampion and Lei, 2010; Ziegler et al., 2016, Ziegler and Heidbach, 2020; Laruelle et al., 2026). Accordingly, while the compilation of <inline-formula><mml:math id="M104" 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> orientation data will continue, the WSM is being expanded to include stress magnitude data. Initial efforts have focused on analysing and compiling stress magnitudes from Germany and neighbouring countries and on developing a quality-ranking scheme that will form an additional backbone for the future development of the WSM (Morawietz et al., 2020).</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e1960">The tool <italic>stress2grid</italic> that is used to estimate the mean <inline-formula><mml:math id="M105" 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> orientation is available at <ext-link xlink:href="https://doi.org/10.5880/wsm.2019.002" ext-link-type="DOI">10.5880/wsm.2019.002</ext-link> (Ziegler and Heidbach, 2019).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e1983">The new WSM database 2025 is available at <ext-link xlink:href="https://doi.org/10.5880/wsm.2025.001" ext-link-type="DOI">10.5880/wsm.2025.001</ext-link> (Heidbach et al., 2025). User-defined stress maps can be plotted using the online tool CASMO (Heidbach et al., 2004) on the WSM project website. The 13 datasets of the mean <inline-formula><mml:math id="M106" 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> orientation on regular global grids are available at <ext-link xlink:href="https://doi.org/10.5880/wsm.2026.001" ext-link-type="DOI">10.5880/wsm.2026.001</ext-link> (Heidbach and Rajabi, 2026).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2006">O.H. and M.R. conducted the estimation of the mean <inline-formula><mml:math id="M107" 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> orientation on regular global grids, analysed the stress pattern, and wrote the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2023">The contact author has declared that neither of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2029">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e2035">We acknowledge the following individual scientists who contributed significantly to the success of the WSM project in one way or the either in the past 40 years: Adams, J., Ágústsson, K., Alt, R., Al-Zoubi, A. S., Andreoli, M., Árnadóttir, S., Ask, D., Ask, M., Assumpcao, M., Barth, A., Babyyev, G., Balfour, N., Baptie, B., Barr, M., Batchelor, T., Becker, A., Bell, S., Bergerat, F., Bergman, E., Bluemling, P., Bohnhoff, M., Bonjer, K.-P., Bosworth, W., Bratli, R., Brereton, R., Brudy, M., Bungum, H., Chatterjee, R., Colmenares, L., Connolly, P., Cornet, F., Cui, X.F., Custodio, S., Delvaux, D., Deichmann, N., Denham, D., Desroches, J., Diehl, T., Ding, J. M., Di Giacomo, D., Doeveny, P., Enever, J., Feijerskov, M., Fellgett, M. W., Finkbeiner, T., Fleckenstein, P., Fuchs, K., Gay, N., Gerner, P., Giger, S., Gough, D.I., Gowd, T.N., Grasso, M., Gregersen, S., Grünthal, G., Gupta, H., Guzman, C., Gvishiani, A., Haimson, B., Hake, T., Hanssen, T. H., Harris, J., Hauk, C., Heidbach, O., Hergert, T., Hersir, G. P., Hickman, S., Hillis, R., Horvath, F., Hu, X. P., Jacob, K., Jarosinski, M., Jurado, M. J., King, R., Kingdon, A., Kjorholt, H., Klein, R., Knoll, P., Kropotkin, P., Kurfeß, D., Larsen, R., Lammers, S., Lindholm, C., Logue, A., López, A., Lund, B., Lund Snee J., Magee, M., Mariucci, M. T., Marschall, I., Mastin, M., Maury, V., Mercier, J., Mildren, S., Montone, P., Mularz-Pussak, M., Müller, B., Negut, M., Oncescu, M.C., Paquin, C., Pavoni, N., Pierdominici, S., Pondrelli, A., Ragg, S., Rajabi, M., Rajendran, K., Ranjbarkarami, R., Reinecker, J., Reiter, K., Rettelbach, N., Reynolds, S., Röckl, T., Roth, F., Rummel, F., Schmitt, D., Schoenball, M., Sebrier, M., Sherman, S., Sperner, B., Storchak, D., Stephansson, O., Stromeyer, D., Suarez, G., Suter, M., Tingay, M., Tolppanen, P., Townend, J., Tsereteli, N., Udias, A., van Dalfsen, W., van Eijs, R., Van-Kin, L., Von Specht, S., Velagala, A., Wenzel, F., Williams, J., Wiprut, D., Wolter, K., Xie, F. R., Xu, Z. H., Yunga, S., Zhizhin, M., Ziegler, M. O., Zoback, M. D., and Zoback, M.-L. Finally we also want to thank cordially any contributor of data, especially the companies and state organisations that contributed their data.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2040">This research has been supported by the International Lithosphere Program and an Australian Research Council Discovery Early Career Researcher Award (grant no. DE200101361).The article processing charges for this open-access publication were covered by the GFZ Helmholtz Centre  for Geosciences.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2053">This paper was edited by Christoph Schrank and reviewed by David Healy and two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Addis, M. A.: The geology of geomechanics: petroleum geomechanical engineering in field development planning, Geological Society, London, Special Publications, 458, 7–29, <ext-link xlink:href="https://doi.org/10.1144/sp458.7" ext-link-type="DOI">10.1144/sp458.7</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Ahlers, S., Henk, A., Hergert, T., Reiter, K., Müller, B., Röckel, L., Heidbach, O., Morawietz, S., Scheck-Wenderoth, M., and Anikiev, D.: 3D crustal stress state of Germany according to a data-calibrated geomechanical model, Solid Earth, 12(8), 1777–1799, <ext-link xlink:href="https://doi.org/10.5194/se-12-1777-2021" ext-link-type="DOI">10.5194/se-12-1777-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation> Amadei, B. and Stephansson, O.: Rock Stress and its Measurements, Chapman and Hall, New York, 1997.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Bell, J. S. and Gough, D. I.: Northeast-southwest compressive stress in Alberta: Evidence from oil wells, Earth Planet. Sci. Lett., 45, 475–482, <ext-link xlink:href="https://doi.org/10.1016/0012-821X(79)90146-8" ext-link-type="DOI">10.1016/0012-821X(79)90146-8</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Bird, P.: An updated digital model for plate boundaries, Geochemistry Geophysics Geosystems, 4, 1027, <ext-link xlink:href="https://doi.org/10.1029/2001GC000252" ext-link-type="DOI">10.1029/2001GC000252</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation> Brady, B. H. G. and Brown, E. T.: Rock Mechanics For Underground Mining, 3rd, Kluwer Academic Publishers, 2004.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Brudy, M., Zoback, M. D., Fuchs, K., Rummel, F., and Baumgartner, J.: Estimation of the complete stress tensor to 8 km depth in the KTB scientific drill holes: Implications for crustal strength, J. Geophys. Res., 102, 18453–18475, <ext-link xlink:href="https://doi.org/10.1029/96jb02942" ext-link-type="DOI">10.1029/96jb02942</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Coblentz, D., van Wijk, J., Carmichael, J., Johnson, C., Delorey, A., Chai, C., Maceira, M., and Richardson, R. M.: New approaches to an old problem: addressing spatial gaps in the World Stress Map, Geological Society, London, Special Publications, 546, 47–68, <ext-link xlink:href="https://doi.org/10.1144/sp546-2023-27" ext-link-type="DOI">10.1144/sp546-2023-27</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Desroches, J., Peyret, E., Gisolf, A., Wilcox, A., Di Giovanni, M., Schram de Jong, A., Sepehri, S., Garrard, R., and Giger, S.: Stress Measurement Campaign in Scientific Deep Boreholes: Focus on Tools and Methods, Petrophysics, 64, 621–639, <ext-link xlink:href="https://doi.org/10.30632/PJV64N5-2023a2" ext-link-type="DOI">10.30632/PJV64N5-2023a2</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Dziewonski, A. M., Chou, T.-A., and Woodhouse, J. H.: Determination of earthquake source parameters from waveform data for studies of global and regional seismicity, J. Geophys. Res., 86, 2825–2852, <ext-link xlink:href="https://doi.org/10.1029/JB086iB04p02825" ext-link-type="DOI">10.1029/JB086iB04p02825</ext-link>, 1981.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Fuchs, K. and Müller, B.: World Stress Map of the Earth: a key to tectonic processes and technological applications, Naturwissenschaften, 88, 357–371, <ext-link xlink:href="https://doi.org/10.1007/s001140100253" ext-link-type="DOI">10.1007/s001140100253</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Haimson, B. C. and Cornet, F. H.: ISRM Suggested Methods for rock stress estimation—Part 3: hydraulic fracturing (HF) and/or hydraulic testing of pre-existing fractures (HTPF), Int. J. Rock Mech. Mining Sc., 40, 1011–1020, <ext-link xlink:href="https://doi.org/10.1016/j.ijrmms.2003.08.002" ext-link-type="DOI">10.1016/j.ijrmms.2003.08.002</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation> Heidbach, O., Barth, A., Connolly, P., Fuchs, F., Müller, B., Reinecker, J., Sperner, B., Tingay, M., and Wenzel, F.: Stress Maps in a Minute: The 2004 World Stress Map Release, EOS T., 85, 521–529, 2004.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Heidbach, O., Reinecker, J., Tingay, M., Müller, B., Sperner, B., Fuchs, K., and Wenzel, F.: Plate boundary forces are not enough: Second- and third-order stress patterns highlighted in the World Stress Map database, Tectonics, 26, TC6014, <ext-link xlink:href="https://doi.org/10.1029/2007TC002133" ext-link-type="DOI">10.1029/2007TC002133</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Heidbach, O., Tingay, M., Barth, A., Reinecker, J., Kurfeß, D., and Müller, B.: Global crustal stress pattern based on the World Stress Map database release 2008, Tectonophys., 482, 3–15, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2009.07.023" ext-link-type="DOI">10.1016/j.tecto.2009.07.023</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Heidbach, O., Rajabi, M., Cui, X., Fuchs, K., Müller, B., Reinecker, J., Reiter, K., Tingay, M., Wenzel, F., Xie, F., Ziegler, M. O., Zoback, M.-L., and Zoback, M. D.: The World Stress Map database release 2016: Crustal stress pattern across scales, Tectonophys., 744, 484–498, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2018.07.007" ext-link-type="DOI">10.1016/j.tecto.2018.07.007</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Heidbach, O., Reinecker, J., Diehl, T., Desroches, J., Ziegler, M. O., Reiter, K., Vietor, T., and Giger, S. B.: The present-day crustal stress field of the Molasse Basin in Switzerland, Swiss J. Geosci., 118, <ext-link xlink:href="https://doi.org/10.1186/s00015-025-00487-6" ext-link-type="DOI">10.1186/s00015-025-00487-6</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Heidbach, O. and Rajabi, M.: Global datasets of the mean orientation of maximum horizontal stress S_Hmax on regular grids, GFZ Data Services [data set], <ext-link xlink:href="https://doi.org/10.5880/wsm.2026.001" ext-link-type="DOI">10.5880/wsm.2026.001</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Heidbach, O., Rajabi, M., Di Giacomo, D., Harris, J., Lammers, S., Morawietz, S., Pierdominici, S., Reiter, K., von Specht, S., Storchak, D., and Ziegler, M. O.: World Stress Map Database Release 2025, GFZ Data Services [data set], <ext-link xlink:href="https://doi.org/10.5880/wsm.2025.001" ext-link-type="DOI">10.5880/wsm.2025.001</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation> Henk, A.: Perspectives of Geomechanical Reservoir Models – Why Stress is Important, European Magazine, 4, 1–5, 2008.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Hergert, T., Heidbach, O., Reiter, K., Giger, S., and Marschall, P.: Stress field sensitivity analysis in a sedimentary sequence of the Alpine foreland, northern Switzerland, Solid Earth, 6, 533–552, <ext-link xlink:href="https://doi.org/10.5194/se-6-533-2015" ext-link-type="DOI">10.5194/se-6-533-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Hickman, S. and Zoback, M. D.: Stress orientations and magnitudes in the SAFOD pilot hole, Geophys. Res. Lett., 31, <ext-link xlink:href="https://doi.org/10.1029/2004gl020043" ext-link-type="DOI">10.1029/2004gl020043</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation> Hottman, C. E., Smith, J. H., and Purcell, W. R.: Relationship Among Earth Stresses, Pore Pressure, and Drilling Problems Offshore Gulf of Alaska, J. Petrol. Tech., 1477–1484, 1979.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Hu, X., Zang, A., Heidbach, O., Cui, X., Xie, F., and Chen, J.: Crustal stress pattern in China and its adjacent areas, Journal of Asian Earth Sciences, 149, 20–28, <ext-link xlink:href="https://doi.org/10.1016/j.jseaes.2017.07.005" ext-link-type="DOI">10.1016/j.jseaes.2017.07.005</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Jolie, E., Scott, S., Faulds, J., Chambefort, I., Axelsson, G., Gutiérrez-Negrín, L. C., Regenspurg, S., Ziegler, M., Ayling, B., Richter, A., and Zemedkun, M. T.: Geological controls on geothermal resources for power generation, Nature Reviews Earth &amp; Environment, 2, 324–339, <ext-link xlink:href="https://doi.org/10.1038/s43017-021-00154-y" ext-link-type="DOI">10.1038/s43017-021-00154-y</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Laruelle, L., Ziegler, M. O., Reiter, K., Heidbach, O., Desroches, J., Giger, S. B., and Degen, D.: Minimum Amount of Stress Magnitude Data Records For Reliable Geomechanical Modelling, Rock Mech. Rock Eng., <ext-link xlink:href="https://doi.org/10.1007/s00603-025-05194-0" ext-link-type="DOI">10.1007/s00603-025-05194-0</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation> Lecampion, B. and Lei, T.: Reconstructing the 3D Initial Stress State over Reservoir Geomechanics Model from Local Measurement and Geological Priors: A Bayesian Approach, Schlumberger Journal of Modelling, Design and Simulations, 1, 100000–100104, 2010.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Lentas, K., Di Giacomo, D., Harris, J., and Storchak, D. A.: The ISC Bulletin as a comprehensive source of earthquake source mechanisms, Earth System Science Data, 11, 565–578, <ext-link xlink:href="https://doi.org/10.5194/essd-11-565-2019" ext-link-type="DOI">10.5194/essd-11-565-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Levi, N., Habermueller, M., Exner, U., Piani, E., Wiesmayr, G., and Decker, K.: The stress field in the frontal part of the Eastern Alps (Austria) from borehole image log data, Tectonophys., 769, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2019.228175" ext-link-type="DOI">10.1016/j.tecto.2019.228175</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Ljunggren, C., Chang, Y., Janson, T., and Christiansson, R.: An overview of rock stress measurement methods, Int. J. Rock Mech. Mining Sc., 40, 975–989, <ext-link xlink:href="https://doi.org/10.1016/j.ijrmms.2003.07.003" ext-link-type="DOI">10.1016/j.ijrmms.2003.07.003</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Lund Snee, J. E. and Zoback, M. D.: Multiscale variations of the crustal stress field throughout North America, Nat. Common., 11, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-15841-5" ext-link-type="DOI">10.1038/s41467-020-15841-5</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation> Mardia, K. V. and Jupp, P. E.: Directional Statistics, Wiley, 2000.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Morawietz, S., Heidbach, O., Reiter, K., Ziegler, M. O., Rajabi, M., Zimmerman, G., Müller, B., and Tingay, M.: An open-access stress magnitude database for Germany and adjacent regions, Geothermal Energy, <ext-link xlink:href="https://doi.org/10.1186/s40517-020-00178-5" ext-link-type="DOI">10.1186/s40517-020-00178-5</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Müller, B., Zoback, M.-L., Fuchs, K., Mastin, L., Gregersen, S., Pavoni, N., Stephansson, O., and Ljunggren, C.: Regional Patterns of Tectonic Stress in Europe, J. Geophys. Res., 97, 11783–11803, <ext-link xlink:href="https://doi.org/10.1029/91JB01096" ext-link-type="DOI">10.1029/91JB01096</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation> NAGRA: In-situ stress field in the siting regions Jura Ost, Nördlich Lägern and Zürich Nordost, NAGRA, Wettingen, NAGRA Arbeitsbericht NAB 24-19, 2024.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Peña Clavijo, S., Dash, A., Baby, G., Alafifi, A. M., and Finkbeiner, T.: Modelling principal stress orientations in the Arabian Plate using plate velocities, Geological Society, London, Special Publications, 546, 193–214, <ext-link xlink:href="https://doi.org/10.1144/sp546-2022-327" ext-link-type="DOI">10.1144/sp546-2022-327</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Pierdominici, S. and Heidbach, O.: Stress field of Italy – Mean stress orientation at different depths and wave-length of the stress pattern, Tectonophys., 532-535, 301–311, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2012.02.018" ext-link-type="DOI">10.1016/j.tecto.2012.02.018</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Plumb, R. A. and Hickman, S. H.: Stress-induced borehole elongation: A comparison between the four-arm dipmeter and the borehole televiewer in the Auburn Geothermal Well, J. Geophys. Res., 90, 5513–5521, <ext-link xlink:href="https://doi.org/10.1029/JB090iB07p05513" ext-link-type="DOI">10.1029/JB090iB07p05513</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Qin, X., Zhao, X., Zhang, C., Li, P., Chen, Q., and Wang, J.: Measurement and Assessment of the In-Situ Stress of the Shazaoyuan Rock Block, a Candidate Site for HLW Disposal in Northwest China, Rock Mech. Rock Eng., 57, 4011–4031, <ext-link xlink:href="https://doi.org/10.1007/s00603-024-03775-z" ext-link-type="DOI">10.1007/s00603-024-03775-z</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Rajabi, M., Tingay, M., and Heidbach, O.: The present-day stress field of New South Wales, Australia, Australian J. Earth Sci., 63, 1–21, <ext-link xlink:href="https://doi.org/10.1080/08120099.2016.1135821" ext-link-type="DOI">10.1080/08120099.2016.1135821</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Rajabi, M., Heidbach, O., Tingay, M., and Reiter, K.: Prediction of the present-day stress field in the Australian continental crust using 3D geomechanical–numerical models, Australian J. Earth Sci., 64, 435–454, <ext-link xlink:href="https://doi.org/10.1080/08120099.2017.1294109" ext-link-type="DOI">10.1080/08120099.2017.1294109</ext-link>, 2017a.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Rajabi, M., Tingay, M., King, R., and Heidbach, O.: Present-day stress orientation in the Clarence-Moreton Basin of New South Wales, Australia: A new high density dataset reveals local stress rotations, Basin Res., 29, 622–640, <ext-link xlink:href="https://doi.org/10.1111/bre.12175" ext-link-type="DOI">10.1111/bre.12175</ext-link>, 2017b.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Rajabi, M., Tingay, M., Heidbach, O., Hillis, R., and Reynolds, S.: The present-day stress field of Australia, Earth Science Reviews, 168, 165–189, <ext-link xlink:href="https://doi.org/10.1016/j.earscirev.2017.04.003" ext-link-type="DOI">10.1016/j.earscirev.2017.04.003</ext-link>, 2017c.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Rajabi, M., Ziegler, M. O., Heidbach, O., Mukherjee, S., and Esterle, J.: Contribution of mine borehole data toward high-resolution stress mapping: An example from northern Bowen Basin, Australia, Int. J. Rock Mech. Mining Sc., 173, <ext-link xlink:href="https://doi.org/10.1016/j.ijrmms.2023.105630" ext-link-type="DOI">10.1016/j.ijrmms.2023.105630</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Rajabi, M., Lammers, S., and Heidbach, O.: WSM database description and guidelines for analysis of horizontal stress orientation from borehole logging, WSM Technical Report TR 25-01, GFZ Helmholtz Centre for Geosciences, Potsdam,, <ext-link xlink:href="https://doi.org/10.48440/wsm.2025.001" ext-link-type="DOI">10.48440/wsm.2025.001</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Reinecker, J., Tingay, M., Müller, B., and Heidbach, O.: Present-day stress orientation in the Molasse Basin, Tectonophys., 462, 129–138, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2009.07.021" ext-link-type="DOI">10.1016/j.tecto.2009.07.021</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Reiter, K., Heidbach, O., Schmitt, D. R., Moeck, I., Ziegler, M. O., and Hauck, C.: Crustal stress field pattern of Canada, Tectonophys., 636, 111–124, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2014.08.006" ext-link-type="DOI">10.1016/j.tecto.2014.08.006</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Reiter, K.: Stress rotation – impact and interaction of rock stiffness and faults, Solid Earth, 12, 1287–1307, <ext-link xlink:href="https://doi.org/10.5194/se-12-1287-2021" ext-link-type="DOI">10.5194/se-12-1287-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Reiter, K., Heidbach, O., and Ziegler, M. O.: Impact of faults on the remote stress state, Solid Earth, 15, 305–327, <ext-link xlink:href="https://doi.org/10.5194/se-15-305-2024" ext-link-type="DOI">10.5194/se-15-305-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Schmitt, D. R., Currie, C. A., and Zhang, L.: Crustal stress determination from boreholes and rock cores: Fundamental principles Tectonophys., 580, 1–26, <ext-link xlink:href="https://doi.org/10.1016/j.tecto.2012.08.029" ext-link-type="DOI">10.1016/j.tecto.2012.08.029</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation> Schmitt, D. R. and Haimson, B. C.: Hydraulic fracturing stress measurements in deep holes, in: Rock Mechanics and Engineering Volume I: Principles, Feng, X.-T. (ed.), CRS Press, Boca Raton, 183–226, 2018.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Segall, P. and Fitzgerald, S. D.: A note on induced stress changes in hydrocarbon and geothermal reservoirs, Tectonophys., 289, 117–128, <ext-link xlink:href="https://doi.org/10.1016/s0040-1951(97)00311-9" ext-link-type="DOI">10.1016/s0040-1951(97)00311-9</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Sperner, B., Müller, B., Heidbach, O., Delvaux, D., Reinecker, J., and Fuchs, K.: Tectonic stress in the Earth's crust: advances in the World Stress Map project, in: New insights in structural interpretation and modelling, Nieuwland, D. A. (ed.), Geological Society, London, Special Publications, 101–116, <ext-link xlink:href="https://doi.org/10.1144/gsl.sp.2003.212.01.07" ext-link-type="DOI">10.1144/gsl.sp.2003.212.01.07</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Szwillus, W., Afonso, J. C., Ebbing, J., and Mooney, W. D.: Global Crustal Thickness and Velocity Structure From Geostatistical Analysis of Seismic Data, J. Geophys. Res., 124, 1626–1652, <ext-link xlink:href="https://doi.org/10.1029/2018jb016593" ext-link-type="DOI">10.1029/2018jb016593</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Thiercelin, M. J., Plumb, R. A., Desroches, J., Bixenman, P. W., Jonas, J. K., and Davie, W. R.: A New Wireline Tool for In-Situ Stress Measurements, SPE Formation Evaluation, 19–25, <ext-link xlink:href="https://doi.org/10.2118/25906-PA" ext-link-type="DOI">10.2118/25906-PA</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Tingay, M., Hillis, R., Morley, C. K., King, R. C., Swarbrick, R. E., and Damit, A. R.: Present-day stress and neotectonics of Brunei: Implications for petroleum exploration and production, AAPG Bulletin, 93, 75–100, <ext-link xlink:href="https://doi.org/10.1306/08080808031" ext-link-type="DOI">10.1306/08080808031</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Tingay, M., Bentham, P., De Feyter, A. and Kellner, A.: Present-day stress-field rotations associated with evaporites in the offshore Nile Delta, Geological Society of America Bulletin, 123, 1171–1180, <ext-link xlink:href="https://doi.org/10.1130/B30185.1" ext-link-type="DOI">10.1130/B30185.1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Tozer, B., Sandwell, D. T., Smith, W. H. F., Olson, C., Beale, J. R., and Wessel, P.: Global Bathymetry and Topography at 15 Arc Sec: SRTM15<inline-formula><mml:math id="M108" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>, Earth and Space Science, 6, 1847–1864, <ext-link xlink:href="https://doi.org/10.1029/2019ea000658" ext-link-type="DOI">10.1029/2019ea000658</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>Velagala, L. S. A. R., Heidbach, O., Ziegler, M. O., Reiter, K., Rajabi, M., Henk, A., Giger, S. B., and Hergert, T.: Spatial influence of fault-related stress perturbations in northern Switzerland, Solid Earth, 17, 179–201, <ext-link xlink:href="https://doi.org/10.5194/se-17-179-2026" ext-link-type="DOI">10.5194/se-17-179-2026</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation> Voight, B., Taylor, J. W., and Voight, J. P.: Tectonophysical implications of rock stress determinations, Geologische Rundschau, 58, 655–676, 1968.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation> Zang, A. and Stephansson, O.: Stress in the Earth's Crust, Springer, Heidelberg, 323 pp., 2010.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>Ziegler, M. O., Heidbach, O., Reinecker, J., Przybycin, A. M., and Scheck-Wenderoth, M.: A multi-stage 3-D stress field modelling approach exemplified in the Bavarian Molasse Basin, Solid Earth, 7, 1365–1382, <ext-link xlink:href="https://doi.org/10.5194/se-7-1365-2016" ext-link-type="DOI">10.5194/se-7-1365-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>Ziegler, M. O., Heidbach, O., Zang, A., Martínez-Garzón, P., and Bohnhoff, M.: Estimation of the differential stress from the stress rotation angle in low permeable rock, Geohpys. Res. Lett., 44, 6761–6770, <ext-link xlink:href="https://doi.org/10.1002/2017GL073598" ext-link-type="DOI">10.1002/2017GL073598</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>Ziegler, M. and Heidbach, O.: Matlab script Stress2Grid v1.1, GFZ Data Services [code], <ext-link xlink:href="https://doi.org/10.5880/wsm.2019.002" ext-link-type="DOI">10.5880/wsm.2019.002</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Ziegler, M. O. and Heidbach, O.: The 3D stress state from geomechanical–numerical modelling and its uncertainties: a case study in the Bavarian Molasse Basin, Geothermal Energy, 8, <ext-link xlink:href="https://doi.org/10.1186/s40517-020-00162-z" ext-link-type="DOI">10.1186/s40517-020-00162-z</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><mixed-citation>Ziegler, M., Finkbeiner, T., Massiot, C., and Goteti, R.: The quest for high fidelity, accurate geomechanical models and the research leading to it, Geological Society, London, Special Publications, 546, 1–7, <ext-link xlink:href="https://doi.org/10.1144/sp546-2024-38" ext-link-type="DOI">10.1144/sp546-2024-38</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>Zoback, M.-L.: First- and Second- Order Patterns of Stress in the Lithosphere: The World Stress Map Project, J. Geophys. Res., 97, 11703–11728, <ext-link xlink:href="https://doi.org/10.1029/92JB00132" ext-link-type="DOI">10.1029/92JB00132</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>Zoback, M.-L. and Mooney, W. D.: Lithospheric Bouyancy and Continental Intraplate Stresses, International Geology Review, 45, 95–118, <ext-link xlink:href="https://doi.org/10.2747/0020-6814.45.2.95" ext-link-type="DOI">10.2747/0020-6814.45.2.95</ext-link>, 2003. </mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><mixed-citation>Zoback, M.-L. and Zoback, M. D.: Tectonic stress field of the continental United States, in: Geophysical Framework of the Continental United States, edited by: Pakiser, L. C., and Mooney, W. D., Geol. Soc. Am. Mem., Boulder, Colorado, 523–539, <ext-link xlink:href="https://doi.org/10.1130/MEM172-p523" ext-link-type="DOI">10.1130/MEM172-p523</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>Zoback, M.-L., Zoback, M. D., Adams, J., Assumpção, M., Bell, S., Bergman, E. A., Blümling, P., Brereton, N. R., Denham, D., Ding, J., Fuchs, K., Gay, N., Gregersen, S., Gupta, H. K., Gvishiani, A., Jacob, K., Klein, R., Knoll, P., Magee, M., Mercier, J. L., Müller, B. C., Paquin, C., Rajendran, K., Stephansson, O., Suarez, G., Suter, M., Udías, A., Xu, Z. H., and Zhizhin, M.: Global patterns of tectonic stress, Nature, 341, 291–298, <ext-link xlink:href="https://doi.org/10.1038/341291a0" ext-link-type="DOI">10.1038/341291a0</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><mixed-citation> Zoback, M. D.: Reservoir Geomechanics, Cambridge, Cambridge, 449 pp., 2010.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><mixed-citation>Zoback, M. D. and Zoback, M.-L.: Tectonic stress field of North America and relative plate motions, in: Neotectonics of North America, Slemmons, D. B., Engdahl, E. R., Zoback, M. D., and Blackwell, D. D. (eds.), Geological Society of America, Boulder, Colorado, 339–366, <ext-link xlink:href="https://doi.org/10.1130/DNAG-CSMS-NEO.339" ext-link-type="DOI">10.1130/DNAG-CSMS-NEO.339</ext-link>, 1991.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Patterns of contemporary horizontal stress orientation in the Earth's crust derived from the World Stress Map Database 2025</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
      
Addis, M. A.: The geology of geomechanics: petroleum geomechanical
engineering in field development planning, Geological Society, London,
Special Publications, 458, 7–29, <a href="https://doi.org/10.1144/sp458.7" target="_blank">https://doi.org/10.1144/sp458.7</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
      
Ahlers, S., Henk, A., Hergert, T., Reiter, K., Müller, B., Röckel,
L., Heidbach, O., Morawietz, S., Scheck-Wenderoth, M., and Anikiev, D.: 3D
crustal stress state of Germany according to a data-calibrated geomechanical
model, Solid Earth, 12(8), 1777–1799, <a href="https://doi.org/10.5194/se-12-1777-2021" target="_blank">https://doi.org/10.5194/se-12-1777-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
      
Amadei, B. and Stephansson, O.: Rock Stress and its Measurements, Chapman
and Hall, New York, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
      
Bell, J. S. and Gough, D. I.: Northeast-southwest compressive stress in
Alberta: Evidence from oil wells, Earth Planet. Sci. Lett., 45, 475–482,
<a href="https://doi.org/10.1016/0012-821X(79)90146-8" target="_blank">https://doi.org/10.1016/0012-821X(79)90146-8</a>, 1979.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
      
Bird, P.: An updated digital model for plate boundaries, Geochemistry
Geophysics Geosystems, 4, 1027, <a href="https://doi.org/10.1029/2001GC000252" target="_blank">https://doi.org/10.1029/2001GC000252</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
      
Brady, B. H. G. and Brown, E. T.: Rock Mechanics For Underground Mining,
3rd, Kluwer Academic Publishers, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
      
Brudy, M., Zoback, M. D., Fuchs, K., Rummel, F., and Baumgartner, J.:
Estimation of the complete stress tensor to 8 km depth in the KTB scientific
drill holes: Implications for crustal strength, J. Geophys. Res., 102,
18453–18475, <a href="https://doi.org/10.1029/96jb02942" target="_blank">https://doi.org/10.1029/96jb02942</a>, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
      
Coblentz, D., van Wijk, J., Carmichael, J., Johnson, C., Delorey, A., Chai,
C., Maceira, M., and Richardson, R. M.: New approaches to an old problem:
addressing spatial gaps in the World Stress Map, Geological Society, London,
Special Publications, 546, 47–68, <a href="https://doi.org/10.1144/sp546-2023-27" target="_blank">https://doi.org/10.1144/sp546-2023-27</a>,
2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
      
Desroches, J., Peyret, E., Gisolf, A., Wilcox, A., Di Giovanni, M., Schram
de Jong, A., Sepehri, S., Garrard, R., and Giger, S.: Stress Measurement
Campaign in Scientific Deep Boreholes: Focus on Tools and Methods,
Petrophysics, 64, 621–639, <a href="https://doi.org/10.30632/PJV64N5-2023a2" target="_blank">https://doi.org/10.30632/PJV64N5-2023a2</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
      
Dziewonski, A. M., Chou, T.-A., and Woodhouse, J. H.: Determination of
earthquake source parameters from waveform data for studies of global and
regional seismicity, J. Geophys. Res., 86, 2825–2852,
<a href="https://doi.org/10.1029/JB086iB04p02825" target="_blank">https://doi.org/10.1029/JB086iB04p02825</a>, 1981.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
      
Fuchs, K. and Müller, B.: World Stress Map of the Earth: a key to
tectonic processes and technological applications, Naturwissenschaften, 88,
357–371, <a href="https://doi.org/10.1007/s001140100253" target="_blank">https://doi.org/10.1007/s001140100253</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
      
Haimson, B. C. and Cornet, F. H.: ISRM Suggested Methods for rock stress
estimation—Part 3: hydraulic fracturing (HF) and/or hydraulic testing of
pre-existing fractures (HTPF), Int. J. Rock Mech. Mining Sc., 40,
1011–1020, <a href="https://doi.org/10.1016/j.ijrmms.2003.08.002" target="_blank">https://doi.org/10.1016/j.ijrmms.2003.08.002</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
      
Heidbach, O., Barth, A., Connolly, P., Fuchs, F., Müller, B., Reinecker,
J., Sperner, B., Tingay, M., and Wenzel, F.: Stress Maps in a Minute: The
2004 World Stress Map Release, EOS T., 85, 521–529, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
      
Heidbach, O., Reinecker, J., Tingay, M., Müller, B., Sperner, B., Fuchs,
K., and Wenzel, F.: Plate boundary forces are not enough: Second- and
third-order stress patterns highlighted in the World Stress Map database,
Tectonics, 26, TC6014, <a href="https://doi.org/10.1029/2007TC002133" target="_blank">https://doi.org/10.1029/2007TC002133</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
      
Heidbach, O., Tingay, M., Barth, A., Reinecker, J., Kurfeß, D., and
Müller, B.: Global crustal stress pattern based on the World Stress Map
database release 2008, Tectonophys., 482, 3–15,
<a href="https://doi.org/10.1016/j.tecto.2009.07.023" target="_blank">https://doi.org/10.1016/j.tecto.2009.07.023</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
      
Heidbach, O., Rajabi, M., Cui, X., Fuchs, K., Müller, B., Reinecker, J.,
Reiter, K., Tingay, M., Wenzel, F., Xie, F., Ziegler, M. O., Zoback, M.-L.,
and Zoback, M. D.: The World Stress Map database release 2016: Crustal
stress pattern across scales, Tectonophys., 744, 484–498,
<a href="https://doi.org/10.1016/j.tecto.2018.07.007" target="_blank">https://doi.org/10.1016/j.tecto.2018.07.007</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
      
Heidbach, O., Reinecker, J., Diehl, T., Desroches, J., Ziegler, M. O.,
Reiter, K., Vietor, T., and Giger, S. B.: The present-day crustal stress
field of the Molasse Basin in Switzerland, Swiss J. Geosci., 118,
<a href="https://doi.org/10.1186/s00015-025-00487-6" target="_blank">https://doi.org/10.1186/s00015-025-00487-6</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
      
Heidbach, O. and Rajabi, M.: Global datasets of the mean orientation of
maximum horizontal stress S_Hmax on regular grids, GFZ Data Services
[data set], <a href="https://doi.org/10.5880/wsm.2026.001" target="_blank">https://doi.org/10.5880/wsm.2026.001</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
      
Heidbach, O., Rajabi, M., Di Giacomo, D., Harris, J., Lammers, S., Morawietz, S., Pierdominici, S., Reiter, K., von Specht, S., Storchak, D., and Ziegler, M. O.: World Stress Map Database Release 2025, GFZ Data Services [data set], <a href="https://doi.org/10.5880/wsm.2025.001" target="_blank">https://doi.org/10.5880/wsm.2025.001</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
      
Henk, A.: Perspectives of Geomechanical Reservoir Models – Why Stress is
Important, European Magazine, 4, 1–5, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
      
Hergert, T., Heidbach, O., Reiter, K., Giger, S., and Marschall, P.: Stress
field sensitivity analysis in a sedimentary sequence of the Alpine foreland,
northern Switzerland, Solid Earth, 6, 533–552,
<a href="https://doi.org/10.5194/se-6-533-2015" target="_blank">https://doi.org/10.5194/se-6-533-2015</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
      
Hickman, S. and Zoback, M. D.: Stress orientations and magnitudes in the
SAFOD pilot hole, Geophys. Res. Lett., 31,
<a href="https://doi.org/10.1029/2004gl020043" target="_blank">https://doi.org/10.1029/2004gl020043</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
      
Hottman, C. E., Smith, J. H., and Purcell, W. R.: Relationship Among Earth
Stresses, Pore Pressure, and Drilling Problems Offshore Gulf of Alaska, J.
Petrol. Tech., 1477–1484, 1979.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
      
Hu, X., Zang, A., Heidbach, O., Cui, X., Xie, F., and Chen, J.: Crustal
stress pattern in China and its adjacent areas, Journal of Asian Earth
Sciences, 149, 20–28, <a href="https://doi.org/10.1016/j.jseaes.2017.07.005" target="_blank">https://doi.org/10.1016/j.jseaes.2017.07.005</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
      
Jolie, E., Scott, S., Faulds, J., Chambefort, I., Axelsson, G.,
Gutiérrez-Negrín, L. C., Regenspurg, S., Ziegler, M., Ayling, B.,
Richter, A., and Zemedkun, M. T.: Geological controls on geothermal
resources for power generation, Nature Reviews Earth &amp; Environment, 2,
324–339, <a href="https://doi.org/10.1038/s43017-021-00154-y" target="_blank">https://doi.org/10.1038/s43017-021-00154-y</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
      
Laruelle, L., Ziegler, M. O., Reiter, K., Heidbach, O., Desroches, J.,
Giger, S. B., and Degen, D.: Minimum Amount of Stress Magnitude Data Records
For Reliable Geomechanical Modelling, Rock Mech. Rock Eng.,
<a href="https://doi.org/10.1007/s00603-025-05194-0" target="_blank">https://doi.org/10.1007/s00603-025-05194-0</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
      
Lecampion, B. and Lei, T.: Reconstructing the 3D Initial Stress State over
Reservoir Geomechanics Model from Local Measurement and Geological Priors: A
Bayesian Approach, Schlumberger Journal of Modelling, Design and
Simulations, 1, 100000–100104, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
      
Lentas, K., Di Giacomo, D., Harris, J., and Storchak, D. A.: The ISC
Bulletin as a comprehensive source of earthquake source mechanisms, Earth
System Science Data, 11, 565–578, <a href="https://doi.org/10.5194/essd-11-565-2019" target="_blank">https://doi.org/10.5194/essd-11-565-2019</a>,
2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
      
Levi, N., Habermueller, M., Exner, U., Piani, E., Wiesmayr, G., and Decker,
K.: The stress field in the frontal part of the Eastern Alps (Austria) from
borehole image log data, Tectonophys., 769,
<a href="https://doi.org/10.1016/j.tecto.2019.228175" target="_blank">https://doi.org/10.1016/j.tecto.2019.228175</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
      
Ljunggren, C., Chang, Y., Janson, T., and Christiansson, R.: An overview of
rock stress measurement methods, Int. J. Rock Mech. Mining Sc., 40,
975–989, <a href="https://doi.org/10.1016/j.ijrmms.2003.07.003" target="_blank">https://doi.org/10.1016/j.ijrmms.2003.07.003</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
      
Lund Snee, J. E. and Zoback, M. D.: Multiscale variations of the crustal
stress field throughout North America, Nat. Common., 11,
<a href="https://doi.org/10.1038/s41467-020-15841-5" target="_blank">https://doi.org/10.1038/s41467-020-15841-5</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
      
Mardia, K. V. and Jupp, P. E.: Directional Statistics, Wiley, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
      
Morawietz, S., Heidbach, O., Reiter, K., Ziegler, M. O., Rajabi, M.,
Zimmerman, G., Müller, B., and Tingay, M.: An open-access stress
magnitude database for Germany and adjacent regions, Geothermal Energy,
<a href="https://doi.org/10.1186/s40517-020-00178-5" target="_blank">https://doi.org/10.1186/s40517-020-00178-5</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
      
Müller, B., Zoback, M.-L., Fuchs, K., Mastin, L., Gregersen, S., Pavoni,
N., Stephansson, O., and Ljunggren, C.: Regional Patterns of Tectonic Stress
in Europe, J. Geophys. Res., 97, 11783–11803,
<a href="https://doi.org/10.1029/91JB01096" target="_blank">https://doi.org/10.1029/91JB01096</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
      
NAGRA: In-situ stress field in the siting regions Jura Ost, Nördlich
Lägern and Zürich Nordost, NAGRA, Wettingen, NAGRA Arbeitsbericht
NAB 24-19, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
      
Peña Clavijo, S., Dash, A., Baby, G., Alafifi, A. M., and Finkbeiner,
T.: Modelling principal stress orientations in the Arabian Plate using plate
velocities, Geological Society, London, Special Publications, 546, 193–214,
<a href="https://doi.org/10.1144/sp546-2022-327" target="_blank">https://doi.org/10.1144/sp546-2022-327</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
      
Pierdominici, S. and Heidbach, O.: Stress field of Italy – Mean stress
orientation at different depths and wave-length of the stress pattern,
Tectonophys., 532-535, 301–311,
<a href="https://doi.org/10.1016/j.tecto.2012.02.018" target="_blank">https://doi.org/10.1016/j.tecto.2012.02.018</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
      
Plumb, R. A. and Hickman, S. H.: Stress-induced borehole elongation: A
comparison between the four-arm dipmeter and the borehole televiewer in the
Auburn Geothermal Well, J. Geophys. Res., 90, 5513–5521,
<a href="https://doi.org/10.1029/JB090iB07p05513" target="_blank">https://doi.org/10.1029/JB090iB07p05513</a>, 1985.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
      
Qin, X., Zhao, X., Zhang, C., Li, P., Chen, Q., and Wang, J.: Measurement
and Assessment of the In-Situ Stress of the Shazaoyuan Rock Block, a
Candidate Site for HLW Disposal in Northwest China, Rock Mech. Rock Eng.,
57, 4011–4031, <a href="https://doi.org/10.1007/s00603-024-03775-z" target="_blank">https://doi.org/10.1007/s00603-024-03775-z</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
      
Rajabi, M., Tingay, M., and Heidbach, O.: The present-day stress field of
New South Wales, Australia, Australian J. Earth Sci., 63, 1–21,
<a href="https://doi.org/10.1080/08120099.2016.1135821" target="_blank">https://doi.org/10.1080/08120099.2016.1135821</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
      
Rajabi, M., Heidbach, O., Tingay, M., and Reiter, K.: Prediction of the
present-day stress field in the Australian continental crust using 3D
geomechanical–numerical models, Australian J. Earth Sci., 64, 435–454,
<a href="https://doi.org/10.1080/08120099.2017.1294109" target="_blank">https://doi.org/10.1080/08120099.2017.1294109</a>, 2017a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
      
Rajabi, M., Tingay, M., King, R., and Heidbach, O.: Present-day stress
orientation in the Clarence-Moreton Basin of New South Wales, Australia: A
new high density dataset reveals local stress rotations, Basin Res., 29,
622–640, <a href="https://doi.org/10.1111/bre.12175" target="_blank">https://doi.org/10.1111/bre.12175</a>, 2017b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
      
Rajabi, M., Tingay, M., Heidbach, O., Hillis, R., and Reynolds, S.: The
present-day stress field of Australia, Earth Science Reviews, 168, 165–189,
<a href="https://doi.org/10.1016/j.earscirev.2017.04.003" target="_blank">https://doi.org/10.1016/j.earscirev.2017.04.003</a>, 2017c.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
      
Rajabi, M., Ziegler, M. O., Heidbach, O., Mukherjee, S., and Esterle, J.:
Contribution of mine borehole data toward high-resolution stress mapping: An
example from northern Bowen Basin, Australia, Int. J. Rock Mech. Mining Sc.,
173, <a href="https://doi.org/10.1016/j.ijrmms.2023.105630" target="_blank">https://doi.org/10.1016/j.ijrmms.2023.105630</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
      
Rajabi, M., Lammers, S., and Heidbach, O.: WSM database description and
guidelines for analysis of horizontal stress orientation from borehole
logging, WSM Technical Report TR 25-01, GFZ Helmholtz Centre for
Geosciences, Potsdam,, <a href="https://doi.org/10.48440/wsm.2025.001" target="_blank">https://doi.org/10.48440/wsm.2025.001</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
      
Reinecker, J., Tingay, M., Müller, B., and Heidbach, O.: Present-day
stress orientation in the Molasse Basin, Tectonophys., 462, 129–138,
<a href="https://doi.org/10.1016/j.tecto.2009.07.021" target="_blank">https://doi.org/10.1016/j.tecto.2009.07.021</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
      
Reiter, K., Heidbach, O., Schmitt, D. R., Moeck, I., Ziegler, M. O., and
Hauck, C.: Crustal stress field pattern of Canada, Tectonophys., 636,
111–124, <a href="https://doi.org/10.1016/j.tecto.2014.08.006" target="_blank">https://doi.org/10.1016/j.tecto.2014.08.006</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
      
Reiter, K.: Stress rotation – impact and interaction of rock stiffness and
faults, Solid Earth, 12, 1287–1307,
<a href="https://doi.org/10.5194/se-12-1287-2021" target="_blank">https://doi.org/10.5194/se-12-1287-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
      
Reiter, K., Heidbach, O., and Ziegler, M. O.: Impact of faults on the remote
stress state, Solid Earth, 15, 305–327,
<a href="https://doi.org/10.5194/se-15-305-2024" target="_blank">https://doi.org/10.5194/se-15-305-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
      
Schmitt, D. R., Currie, C. A., and Zhang, L.: Crustal stress determination
from boreholes and rock cores: Fundamental principles Tectonophys., 580,
1–26, <a href="https://doi.org/10.1016/j.tecto.2012.08.029" target="_blank">https://doi.org/10.1016/j.tecto.2012.08.029</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
      
Schmitt, D. R. and Haimson, B. C.: Hydraulic fracturing stress measurements
in deep holes, in: Rock Mechanics and Engineering Volume I: Principles,
Feng, X.-T. (ed.), CRS Press, Boca Raton, 183–226, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
      
Segall, P. and Fitzgerald, S. D.: A note on induced stress changes in
hydrocarbon and geothermal reservoirs, Tectonophys., 289, 117–128,
<a href="https://doi.org/10.1016/s0040-1951(97)00311-9" target="_blank">https://doi.org/10.1016/s0040-1951(97)00311-9</a>, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
      
Sperner, B., Müller, B., Heidbach, O., Delvaux, D., Reinecker, J., and
Fuchs, K.: Tectonic stress in the Earth's crust: advances in the World
Stress Map project, in: New insights in structural interpretation and
modelling, Nieuwland, D. A. (ed.), Geological Society, London, Special
Publications, 101–116, <a href="https://doi.org/10.1144/gsl.sp.2003.212.01.07" target="_blank">https://doi.org/10.1144/gsl.sp.2003.212.01.07</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
      
Szwillus, W., Afonso, J. C., Ebbing, J., and Mooney, W. D.: Global Crustal
Thickness and Velocity Structure From Geostatistical Analysis of Seismic
Data, J. Geophys. Res., 124, 1626–1652,
<a href="https://doi.org/10.1029/2018jb016593" target="_blank">https://doi.org/10.1029/2018jb016593</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
      
Thiercelin, M. J., Plumb, R. A., Desroches, J., Bixenman, P. W., Jonas, J.
K., and Davie, W. R.: A New Wireline Tool for In-Situ Stress Measurements,
SPE Formation Evaluation, 19–25, <a href="https://doi.org/10.2118/25906-PA" target="_blank">https://doi.org/10.2118/25906-PA</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
      
Tingay, M., Hillis, R., Morley, C. K., King, R. C., Swarbrick, R. E., and
Damit, A. R.: Present-day stress and neotectonics of Brunei: Implications
for petroleum exploration and production, AAPG Bulletin, 93, 75–100,
<a href="https://doi.org/10.1306/08080808031" target="_blank">https://doi.org/10.1306/08080808031</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
      
Tingay, M., Bentham, P., De Feyter, A. and Kellner, A.: Present-day
stress-field rotations associated with evaporites in the offshore Nile
Delta, Geological Society of America Bulletin, 123, 1171–1180,
<a href="https://doi.org/10.1130/B30185.1" target="_blank">https://doi.org/10.1130/B30185.1</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
      
Tozer, B., Sandwell, D. T., Smith, W. H. F., Olson, C., Beale, J. R., and
Wessel, P.: Global Bathymetry and Topography at 15 Arc Sec: SRTM15+, Earth
and Space Science, 6, 1847–1864, <a href="https://doi.org/10.1029/2019ea000658" target="_blank">https://doi.org/10.1029/2019ea000658</a>,
2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
      
Velagala, L. S. A. R., Heidbach, O., Ziegler, M. O., Reiter, K., Rajabi, M.,
Henk, A., Giger, S. B., and Hergert, T.: Spatial influence of fault-related
stress perturbations in northern Switzerland, Solid Earth, 17, 179–201,
<a href="https://doi.org/10.5194/se-17-179-2026" target="_blank">https://doi.org/10.5194/se-17-179-2026</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
      
Voight, B., Taylor, J. W., and Voight, J. P.: Tectonophysical implications
of rock stress determinations, Geologische Rundschau, 58, 655–676, 1968.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
      
Zang, A. and Stephansson, O.: Stress in the Earth's Crust, Springer,
Heidelberg, 323 pp., 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
      
Ziegler, M. O., Heidbach, O., Reinecker, J., Przybycin, A. M., and
Scheck-Wenderoth, M.: A multi-stage 3-D stress field modelling approach
exemplified in the Bavarian Molasse Basin, Solid Earth, 7, 1365–1382,
<a href="https://doi.org/10.5194/se-7-1365-2016" target="_blank">https://doi.org/10.5194/se-7-1365-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
      
Ziegler, M. O., Heidbach, O., Zang, A., Martínez-Garzón, P., and
Bohnhoff, M.: Estimation of the differential stress from the stress rotation
angle in low permeable rock, Geohpys. Res. Lett., 44, 6761–6770,
<a href="https://doi.org/10.1002/2017GL073598" target="_blank">https://doi.org/10.1002/2017GL073598</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
      
Ziegler, M. and Heidbach, O.: Matlab script Stress2Grid v1.1, GFZ Data Services [code], <a href="https://doi.org/10.5880/wsm.2019.002" target="_blank">https://doi.org/10.5880/wsm.2019.002</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
      
Ziegler, M. O. and Heidbach, O.: The 3D stress state from
geomechanical–numerical modelling and its uncertainties: a case study in
the Bavarian Molasse Basin, Geothermal Energy, 8,
<a href="https://doi.org/10.1186/s40517-020-00162-z" target="_blank">https://doi.org/10.1186/s40517-020-00162-z</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
      
Ziegler, M., Finkbeiner,
T., Massiot, C., and Goteti, R.: The quest for high fidelity, accurate
geomechanical models and the research leading to it, Geological Society,
London, Special Publications, 546, 1–7,
<a href="https://doi.org/10.1144/sp546-2024-38" target="_blank">https://doi.org/10.1144/sp546-2024-38</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
      
Zoback, M.-L.: First- and Second- Order Patterns of Stress in the
Lithosphere: The World Stress Map Project, J. Geophys. Res., 97,
11703–11728, <a href="https://doi.org/10.1029/92JB00132" target="_blank">https://doi.org/10.1029/92JB00132</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
      
Zoback, M.-L. and Mooney, W. D.: Lithospheric Bouyancy and Continental
Intraplate Stresses, International Geology Review, 45, 95–118,
<a href="https://doi.org/10.2747/0020-6814.45.2.95" target="_blank">https://doi.org/10.2747/0020-6814.45.2.95</a>, 2003.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
      
Zoback, M.-L. and Zoback, M. D.: Tectonic stress field of the continental
United States, in: Geophysical Framework of the Continental United States,
edited by: Pakiser, L. C., and Mooney, W. D., Geol. Soc. Am. Mem., Boulder,
Colorado, 523–539, <a href="https://doi.org/10.1130/MEM172-p523" target="_blank">https://doi.org/10.1130/MEM172-p523</a>, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
      
Zoback, M.-L., Zoback, M. D., Adams, J., Assumpção, M., Bell, S.,
Bergman, E. A., Blümling, P., Brereton, N. R., Denham, D., Ding, J.,
Fuchs, K., Gay, N., Gregersen, S., Gupta, H. K., Gvishiani, A., Jacob, K.,
Klein, R., Knoll, P., Magee, M., Mercier, J. L., Müller, B. C., Paquin,
C., Rajendran, K., Stephansson, O., Suarez, G., Suter, M., Udías, A.,
Xu, Z. H., and Zhizhin, M.: Global patterns of tectonic stress, Nature, 341,
291–298, <a href="https://doi.org/10.1038/341291a0" target="_blank">https://doi.org/10.1038/341291a0</a>, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
      
Zoback, M. D.: Reservoir Geomechanics, Cambridge, Cambridge, 449 pp., 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
      
Zoback, M. D. and Zoback, M.-L.: Tectonic stress field of North America and
relative plate motions, in: Neotectonics of North America, Slemmons, D. B.,
Engdahl, E. R., Zoback, M. D., and Blackwell, D. D. (eds.), Geological
Society of America, Boulder, Colorado, 339–366,
<a href="https://doi.org/10.1130/DNAG-CSMS-NEO.339" target="_blank">https://doi.org/10.1130/DNAG-CSMS-NEO.339</a>, 1991.

    </mixed-citation></ref-html>--></article>
