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<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1630039</article-id>
<article-id pub-id-type="doi">10.3389/feart.2025.1630039</article-id>
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<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Hybrid emplacement mechanisms and structural interactions: insights into dike-fault-fracture systems in SE Korea</article-title>
<alt-title alt-title-type="left-running-head">Lee et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2025.1630039">10.3389/feart.2025.1630039</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lee</surname>
<given-names>Jinhyun</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/3069335/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Kim</surname>
<given-names>Goeun</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/3129246/overview"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kim</surname>
<given-names>Young-Seog</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff>
<institution>Division of Earth Environmental System Sciences, Pukyong National University</institution>, <addr-line>Busan</addr-line>, <country>Republic of Korea</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1096013/overview">James D. Muirhead</ext-link>, The University of Auckland, New Zealand</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/111525/overview">Alessandro Maria Michetti</ext-link>, University of Insubria, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/132998/overview">Alessandro Tibaldi</ext-link>, University of Milano-Bicocca, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1745970/overview">Ritabrata Dasgupta</ext-link>, Yonsei University, Republic of Korea</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Young-Seog Kim, <email>ysk7909@pknu.ac.kr</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1630039</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Lee, Kim and Kim.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Lee, Kim and Kim</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The structural evolution of dike-fault-fracture (DF<sup>2</sup>) systems is governed by the combined effects of dike emplacement and structural inheritance, together with deformation that occurs after emplacement. Each magma injection can either forcefully fracture intact rock to create new pathways or passively intrude along pre-existing fractures, reflecting a hybrid dike emplacement. Integrated field mapping and topological analysis reveal hybrid emplacement mechanisms in Eocene mafic dikes intruding Late Cretaceous granitic bedrock in southeast Korea. Dikes in the study area display three distinct orientations. Geometric restoration indicates dike emplacement under NW&#x2013;SE minimum principal stress. NE-striking dikes formed through forceful fracturing, creating a continuous Mode I structure. ENE- and NNE-striking dikes developed via passive intrusion along pre-existing fracture sets, producing characteristic zigzag geometries, blunt terminations, and apparent offsets. Complex dike patterns reflect hybrid emplacement combining both mechanisms under local stress-field rotations. NE-striking dikes act as both barriers to fracture propagation and strain concentrators, partitioning deformation within the host rock. Post-emplacement deformation modified the DF<sup>2</sup> system architecture. Stress field rotation reactivated ENE-oriented fractures as sinistral faults, generating damage zones with fracture intensity (P<sub>21</sub>) up to 6.14 m<sup>&#x2212;1</sup> and a connectivity (<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
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<mml:mi>B</mml:mi>
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</inline-formula>) of 1.29. Post-intrusion hydrothermal alteration produced calcite veins concentrated along dike margins and ENE fault-tip and linking damage zones. Superimposed slickenlines record multiple reactivation phases, indicating continued structural evolution after magmatic emplacement. These results demonstrate that hybrid emplacement mechanisms establish structurally heterogeneous frameworks governing subsequent tectonic overprinting, highlighting the coupled evolution of magmatic and structural processes in continental crust.</p>
</abstract>
<kwd-group>
<kwd>dike-fault-fracture systems</kwd>
<kwd>hybrid dike emplacement</kwd>
<kwd>topological analysis</kwd>
<kwd>pre-existing fracture</kwd>
<kwd>cenozoic magma-tectonic crustal deformation</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Structural Geology and Tectonics</meta-value>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Magma migration paths commonly exploit structural weaknesses in the crust, leading to dike emplacement. Dike, as primary magma transport structures, exhibits diverse geometries influenced by magma composition, viscosity, bedrock properties, and pre-existing fractures (<xref ref-type="bibr" rid="B26">Gudmundsson, 2006</xref>; <xref ref-type="bibr" rid="B72">Rivalta et al., 2015</xref>; <xref ref-type="bibr" rid="B77">Schmiedel et al., 2021</xref>; <xref ref-type="bibr" rid="B48">Kubo Hutchison et al., 2023</xref>). Magma pressure, exceeding the tensile strength of the bedrock, induces fracturing that generates new ascent pathways or exploits pre-existing fractures during active intrusion (<xref ref-type="bibr" rid="B89">Tibaldi et al., 2008</xref>; <xref ref-type="bibr" rid="B94">White et al., 2011</xref>; <xref ref-type="bibr" rid="B56">Marti et al., 2016</xref>; <xref ref-type="bibr" rid="B95">Woods et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Gudmundsson, 2020</xref>; <xref ref-type="bibr" rid="B7">Browning et al., 2021</xref>). While mechanical processes dominate dike propagation, thermal weakening (e.g., heat-induced metamorphism reducing host rock strength; <xref ref-type="bibr" rid="B101">Zhu et al., 2018</xref>; <xref ref-type="bibr" rid="B99">Yin et al., 2021</xref>) and chemical interactions (e.g., volatile-driven metasomatism; <xref ref-type="bibr" rid="B30">Harlov and Austrheim, 2013</xref>) may further facilitate emplacement. Subsequent tectonic deformation of these magmatic structures, combined with host rock heterogeneity, can lead to the development of an interconnected dike-fault-fracture (DF<sup>2</sup>) system. We define this system as an interconnected network in which dikes, faults and fractures co-evolve through mechanical feedback, preserving the imprints of both magmatic emplacement and subsequent tectonic strain. Dike orientations may reflect the minimum principal stress (&#x3c3;<sub>3</sub>), but those exploiting pre-existing structures can misrepresent the true &#x3c3;<sub>3</sub> direction (<xref ref-type="bibr" rid="B25">Gudmundsson, 2003</xref>; <xref ref-type="bibr" rid="B62">Nelson et al., 2007</xref>; <xref ref-type="bibr" rid="B5">Bistacchi et al., 2012</xref>; <xref ref-type="bibr" rid="B90">Tibaldi et al., 2011</xref>; <xref ref-type="bibr" rid="B56">Marti et al., 2016</xref>). Detailed mapping of emplacement mechanisms, coupled with DF<sup>2</sup> system analysis, is thus essential to reliably reconstruct magmatic and tectonic histories.</p>
<p>Dike emplacement can be classified into forceful and passive intrusion. Hydraulic fracturing (forceful intrusion) drives dike propagation by generating new fractures through magma pressure exceeding the host rock&#x2019;s tensile strength, independent of pre-existing structures (<xref ref-type="bibr" rid="B64">Pallister et al., 2010</xref>; <xref ref-type="bibr" rid="B91">Trippanera et al., 2015</xref>; <xref ref-type="bibr" rid="B92">Walker et al., 2017</xref>). Passive intrusion occurs when magma exploits pre-existing fractures (e.g., faults, bedding planes) under low confining stresses, common in shallow crustal settings (<xref ref-type="bibr" rid="B14">Delaney and Pollard, 1982</xref>; <xref ref-type="bibr" rid="B15">Delaney et al., 1986</xref>; <xref ref-type="bibr" rid="B13">Dahm, 2000</xref>; <xref ref-type="bibr" rid="B8">Buck et al., 2006</xref>; <xref ref-type="bibr" rid="B18">Edwards et al., 2017</xref>; <xref ref-type="bibr" rid="B96">Yang and Kim, 2021</xref>). Both mechanisms are modulated by mechanical discontinuities (e.g. pre-existing weaknesses). These discontinuities, characterized by abrupt changes in mechanical properties such as strength and elasticity, act as pathways for magma migration and stress redistribution (<xref ref-type="bibr" rid="B58">Mazzarini and Musumeci, 2008</xref>; <xref ref-type="bibr" rid="B50">Le Corvec et al., 2013</xref>; <xref ref-type="bibr" rid="B81">Shang et al., 2018</xref>; <xref ref-type="bibr" rid="B49">Lan et al., 2022</xref>; <xref ref-type="bibr" rid="B87">Tang et al., 2024</xref>). Depending on their orientation and the local stress field, discontinuities may deflect dikes, forming sills, or act as structural barriers that impede dike propagation (<xref ref-type="bibr" rid="B88">Tibaldi and Pasquar&#xe8;, 2008</xref>; <xref ref-type="bibr" rid="B86">Spacapan et al., 2016</xref>; <xref ref-type="bibr" rid="B22">Ghodke et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Dering et al., 2019</xref>; <xref ref-type="bibr" rid="B96">Yang and Kim, 2021</xref>). The classification of dike emplacement thus governs the evolution of the DF<sup>2</sup> system, with forceful mechanisms enhancing fracture connectivity and passive mechanisms amplifying structural inheritance.</p>
<p>Dike intrusion mechanisms depend critically on the interplay between magma overpressure and pre-existing fractures, categorized into three patterns (<xref ref-type="fig" rid="F1">Figure 1</xref>; <xref ref-type="bibr" rid="B71">Rahman et al., 2009</xref>; <xref ref-type="bibr" rid="B93">Warpinski et al., 2009</xref>; <xref ref-type="bibr" rid="B53">Lu et al., 2015</xref>): (1) cross-cutting fractures (<xref ref-type="fig" rid="F1">Figure 1A</xref>), (2) deflection and propagation along fracture planes (<xref ref-type="fig" rid="F1">Figure 1B</xref>), and (3) hybrid deflection and cross-cutting (<xref ref-type="fig" rid="F1">Figure 1C</xref>). Passive dike emplacement is characterized by deflection and fracture-controlled intrusion along pre-existing weaknesses, whereas cross-cutting geometries require forceful intrusion with magma pressures exceeding fracture strength. These mechanisms are governed by the local stress field, fracture orientation, and bedrock mechanical properties, which collectively dictate whether dikes propagate through or align with structural weaknesses. Thus, regardless of whether a dike cross-cuts the host rock or propagates along pre-existing fractures, the intrusion establishes a mechanical discontinuity in the crust that perturbs the surrounding stress field.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Interaction of hydraulic fracture and pre-existing fracture. <bold>(A)</bold> Penetration. <bold>(B)</bold> Non-penetration and intrusion along fracture. <bold>(C)</bold> Partially intrusion along fracture and penetration (modified from <xref ref-type="bibr" rid="B53">Lu et al., 2015</xref>).</p>
</caption>
<graphic xlink:href="feart-13-1630039-g001.tif">
<alt-text content-type="machine-generated">Diagram illustrating three scenarios of dike interaction with pre-existing fractures. In A, the dike intersects a fracture with only vertical stress. In B, horizontal and vertical stresses interact, causing the dike to change direction. In C, further interaction with maximum horizontal stress redirects the dike along the fracture. Red arrows indicate stress directions.</alt-text>
</graphic>
</fig>
<p>The redistribution of stress and modification of bedrock mechanical properties, particularly in granitic rocks, can be driven by dike intrusion. Pre-existing fractures facilitate fault reactivation, while dikes act as mechanical discontinuities, concentrating fractures along their margins (<xref ref-type="bibr" rid="B79">Segall and Pollard, 1983</xref>; <xref ref-type="bibr" rid="B55">Martel et al., 1988</xref>). These interactions generate differential stress zones that drive heterogeneous deformation, including the development of faults and shear zones (<xref ref-type="bibr" rid="B20">Ernst et al., 2001</xref>; <xref ref-type="bibr" rid="B22">Ghodke et al., 2018</xref>). Fracture networks amplified by stress perturbations from dike emplacement create pathways for strain localization, thereby linking magmatic and tectonic processes (<xref ref-type="bibr" rid="B22">Ghodke et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Dering et al., 2019</xref>; <xref ref-type="bibr" rid="B96">Yang and Kim, 2021</xref>).</p>
<p>The interaction between dikes and host structures determines whether deformation localizes faults or inhibits propagation (<xref ref-type="bibr" rid="B72">Rivalta et al., 2015</xref>; <xref ref-type="bibr" rid="B17">Drymoni et al., 2021</xref>). For example, dikes exploiting fractures may reactivate them as faults, whereas intact dike margins can act as barriers. Analyzing these geometric and mechanical interactions provides critical insights into paleostress conditions, magmatic-tectonic evolution, and fluid pathways. Distinguishing forceful from passive emplacement thus becomes essential for reconstructing crustal deformation histories.</p>
<p>We selected a series of well-exposed dikes intruded into a late Cretaceous granite in Busan, SE Korea for this study (<xref ref-type="fig" rid="F2">Figure 2</xref>). The objectives of this study are: (1) describing the characteristics of dike geometry, (2) interpreting the dike emplacement mechanism, (3) analyzing fracture networks related to dike emplacement. For these purposes, in this study, we investigate the dike emplacement patterns associated with the Eocene extensional stage and the development of strike-slip faults that deform the dikes.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Geological map and major faults of the Gyeongsang Basin (modified from <xref ref-type="bibr" rid="B51">Lee, 2000</xref>). <bold>(B)</bold> Geologic map around the study area (modified from <xref ref-type="bibr" rid="B36">Kee et al., 2003</xref>). <bold>(C)</bold> Satellite image and lineaments around the study area (from Google Earth; <xref ref-type="bibr" rid="B41">Kim et al., 2003</xref>). NNE-SSW trending lineaments are dominant. <bold>(D)</bold> Rose diagrams showing the dominant orientation of faults and lineaments (<xref ref-type="bibr" rid="B38">KOPEC, 2009</xref>).</p>
</caption>
<graphic xlink:href="feart-13-1630039-g002.tif">
<alt-text content-type="machine-generated">Map and diagrams illustrating fault and lineament data in Korea. Panel A shows geological formations and faults, including the Yangsan and Ulsan Faults. Panel B details the Ilkwang Fault and various rock formations with a study site marked. Panel C is a satellite image with yellow lineaments and red geologic map faults. Panel D presents rose diagrams for faults, lineaments, and combined data.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2">
<title>2 Geological background</title>
<p>The study area is located in Seosaeng-myeon, Ulsan, South Korea, which is the southeastern part of the Gyeongsang Basin (<xref ref-type="fig" rid="F2">Figure 2</xref>). This region comprises Cretaceous sedimentary rocks intruded by later igneous rocks, overlain by Quaternary alluvial deposits (<xref ref-type="bibr" rid="B41">Kim et al., 2003</xref>; <xref ref-type="fig" rid="F2">Figure 2</xref>). Widely distributed sedimentary units called the Icheonri Formation in Ilgwang-myeon and Seosaeng-myeon include conglomerate, sandstone, siltstone, and mudstone (<xref ref-type="bibr" rid="B82">Son et al., 1978</xref>; <xref ref-type="bibr" rid="B46">Kim et al., 2022</xref>). The Icheonri Formation was initially classified as part of the Silla Conglomerate within the Gyeongsang Supergroup (<xref ref-type="bibr" rid="B82">Son et al., 1978</xref>), which was later reassigned as the Dadaepo Formation of the Yucheon Group (<xref ref-type="bibr" rid="B39">Kim et al., 1998</xref>). Bedding planes in the Icheonri Formation typically strike northeast, dipping gently northwest in Ilgwang-myeon and southeast in Seosaeng-myeon (<xref ref-type="bibr" rid="B41">Kim et al., 2003</xref>).</p>
<p>In Seosaeng-myeon, the landscape is predominantly composed of Late Cretaceous to Paleogene granitic rocks, with hornblende granite being the dominant type and biotite granite occurring locally near the Ilgwang mining area (<xref ref-type="bibr" rid="B36">Kee et al., 2003</xref>; <xref ref-type="bibr" rid="B41">Kim et al., 2003</xref>). The hornblende granite is intruded by both acidic and mafic dikes, with cross-cutting relationships indicating the more recent emplacement of mafic dikes.</p>
<p>These dikes were likely emplaced during the Eocene to Oligocene, coinciding with the rollback of the Pacific-Eurasian subduction zone and the opening of the East Sea (<xref ref-type="bibr" rid="B83">Son et al., 2007</xref>; <xref ref-type="bibr" rid="B84">2013</xref>; <xref ref-type="bibr" rid="B97">Yang et al., 2008</xref>). The granite bedrock in southeast Korea, dated to 65.8&#x2013;63.2 Ma (K-Ar) and 67.3&#x2013;62.8 Ma (Rb-Sr), hosts dike clusters of basaltic to rhyolitic composition, which belong to the calc-alkaline magma series typically associated with subduction-related volcanic arcs (<xref ref-type="bibr" rid="B40">Kim et al., 2002</xref>; <xref ref-type="bibr" rid="B83">Son et al., 2007</xref>; <xref ref-type="bibr" rid="B44">Kim et al., 2011</xref>). Radiometric data point to two pulses of basaltic dike emplacement: an inland phase at &#x223c;48 Ma (<xref ref-type="bibr" rid="B43">Kim et al., 2005</xref>) and a later coastal phase at &#x223c;44 Ma (<xref ref-type="bibr" rid="B37">KOPEC, 2007</xref>). In contrast, intermediate and acidic dikes were intruded earlier, at 55.9 Ma and 53.0 Ma respectively, consistent with progressive magma differentiation and mixing in the plumbing system (<xref ref-type="bibr" rid="B97">Yang et al., 2008</xref>). These chronological data provide insights into the tectonic and magmatic evolution of southeast Korea during the Paleogene.</p>
<p>The Ilgwang Fault is an NNE- to NE-striking strike-slip fault that defines the western boundary of the study area and represents the easternmost structure of the Yangsan Fault System. The Ilgwang Fault is similar to the Yangsan Fault in orientation and kinematics (<xref ref-type="bibr" rid="B41">Kim et al., 2003</xref>; <xref ref-type="bibr" rid="B45">Kim et al., 2016</xref>; <xref ref-type="bibr" rid="B29">Ha et al., 2016</xref>; <xref ref-type="bibr" rid="B34">Jin et al., 2018</xref>). Depending on rock type, the width of the Ilgwang Fault deformation zone is narrower in volcanic rocks (&#x223c;200 m) and more diffuse in sedimentary rocks (&#x223c;1,000 m) due to their lower compressive strength (<xref ref-type="bibr" rid="B34">Jin et al., 2018</xref>).</p>
<p>The Yangsan Fault records dominant dextral slip under NE&#x2013;SW compression during the late Paleogene (ca. 43&#x2013;23 Ma), as constrained by multiple chronological approaches, including K-Ar dating of fault gouges (utilizing illite-age-analysis), U-Pb zircon dating of offset volcanic rocks, and structural relationships such as the 21.3 km dextral displacement of a 50 Ma A-type granite (<xref ref-type="bibr" rid="B33">Hwang et al., 2007b</xref>; <xref ref-type="bibr" rid="B29">Ha et al., 2016</xref>; <xref ref-type="bibr" rid="B10">Cheon et al., 2017a</xref>). During the Middle Miocene (ca. 16 Ma), localized sinistral reactivation occurred under NNW&#x2013;SSE compression, associated with the subduction of the Philippine Sea Plate, as evidenced by structural overprinting and the displacement of Miocene basin fills (<xref ref-type="bibr" rid="B85">Son et al., 2015</xref>).</p>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methodology</title>
<p>To map the DF<sup>2</sup> system with precision, we established a 1 m &#xd7; 1 m grid across the outcrop. Detailed sketches of each grid cell documented the spatial relationships between dikes, fractures, and faults, including cross-cutting relationships and kinematic indicators (e.g., slickenlines and secondary fractures). High-resolution photomosaic images, constructed using Adobe Photoshop, provided a continuous visual base for structural mapping, enabling digitization of features across the &#x223c;200 m &#xd7; 200 m exposure area. Geometric restoration was performed to determine the local dilation direction during dike emplacement and to reconstruct the pre-intrusion host rock configuration. This procedure involved digitally removing dikes exhibiting complex geometries (e.g., zigzag patterns) and realigning key piercing points (e.g., kink bends, fracture intersections) to their original pre-displacement positions. We emphasize that this approach reconstructs the dilation direction (strain) during emplacement, which does not necessarily coincide with principal stress orientations. This method determines dike opening directions and reconstructs pre-existing fracture networks, despite inherent limitations in paleostress reconstruction from structurally controlled intrusions (<xref ref-type="bibr" rid="B21">Forslund and Gudmundsson, 1992</xref>; <xref ref-type="bibr" rid="B1">Acocella et al., 2000</xref>; <xref ref-type="bibr" rid="B97">Yang et al., 2008</xref>).</p>
<p>Topological analysis can characterize the geometry and spatial connectivity of the DF<sup>2</sup> system. This method quantifies the connectivity of the fracture system by distinguishing invariant topological attributes (e.g., connection counts) from variable geometric properties, such as length or area (<xref ref-type="bibr" rid="B75">Sanderson and Nixon, 2015</xref>; <xref ref-type="bibr" rid="B76">Sanderson and Nixon, 2018</xref>). In 2D, fractures are modeled as traces (lines) interconnected by nodes and branches. Nodes are categorized as I-nodes (isolated fracture ends), Y-nodes (junctions splitting/merging fractures), or X-nodes (intersections of two fractures). Branches are classified as II (isolated), IC (linking isolated and junctional nodes), or CC (connecting two junctions), with ternary diagrams visualizing their proportional contributions to connectivity.</p>
<p>Two key metrics were analyzed: (1) 2D fracture intensity (P<sub>21</sub>), calculated as total fracture trace length per unit area (area count method; <xref ref-type="disp-formula" rid="e1">Equation 1</xref>), and (2) connections per branch (C<sub>B</sub>), a dimensionless index (0&#x2013;2) where 0 represents isolated II-branches and near 2 indicates highly connected IC/CC networks (<xref ref-type="disp-formula" rid="e2">Equation 2</xref>). This approach isolates structural connectivity patterns independent of scale or deformation history, providing insights into fracture network evolution. Moreover, enhanced structural connectivity in fractured reservoirs or fault damage zones is often associated with increased effective permeability and hydraulic transmissivity. Thus, C<sub>B</sub> serves not only as a geometric descriptor but also as a useful proxy for assessing fluid flow potential within fracture systems (<xref ref-type="bibr" rid="B76">Sanderson and Nixon, 2018</xref>; <xref ref-type="bibr" rid="B59">Mendes et al., 2022</xref>). Field-derived data were digitized and refined using Adobe Photoshop/Illustrator, followed by quantitative analysis of P<sub>21</sub> and <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> using QGIS&#x2019;s NetworkGT toolkit. A contour grid (side length: 94 cm; number of grids: 85 &#xd7; 55) was used for the spatial mapping of P<sub>21</sub> and C<sub>B</sub> values. Within each grid cell, the lengths of fracture traces were summed and normalized by the grid area to calculate fracture intensity metrics (<xref ref-type="bibr" rid="B63">Nyberg et al., 2018</xref>).<disp-formula id="e1">
<mml:math id="m3">
<mml:mrow>
<mml:mtext>Fracture&#x2009;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mn>21</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>(&#x2211;L: sum of the fracture trace lengths, A: Area)<disp-formula id="e2">
<mml:math id="m5">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Connections</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>branch</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>Y</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>4</mml:mn>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>X</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>
<italic>(N<sub>Y</sub>, N<sub>X</sub>: Count of Y and X nodes, N<sub>B</sub>: Count of CC, CI, and II branches)</italic>
</p>
</sec>
<sec id="s4">
<title>4 Results and interpretation</title>
<sec id="s4-1">
<title>4.1 Fracture networks in dike cluster area</title>
<p>The widely exposed granite bedrock contains mafic dike clusters, fractures, and faults. <xref ref-type="fig" rid="F3">Figure 3</xref> illustrates a detailed structural map of these features in the studied outcrop. The fracture network shows two dominant trends: ENE-WSW (or E&#x2010;W) and NNE&#x2010;SSW (or N&#x2010;S; <xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>). NE-SW striking fractures, exhibiting good continuity, cross-cut the two dominant fracture sets and enhance the connectivity of the grid-like network. The mafic dike cluster region, west of the main fault, exhibits a grid-like fracture network, with fracture orientations systematically varying with proximity to the fault. The main fault, which extends over 250 m, both cuts through and follows the boundaries of highly deformed NE-striking dikes, and is characterized by 5&#x2013;10 cm thick gouge zones and brecciation within and along the margins of these dikes. The main fault gradually diminishes in intensity toward the north. Smaller-scale faults, trending NNE and E&#x2013;W, occur within and along the margins of the dikes, with fault strikes that are parallel or sub-parallel to the dike orientation, particularly at points ofbending or branching. Hydrothermal alteration, including calcite vein formation, is widespread along extensional fractures and faults, particularly within fault zones and tip damage zones.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Structural map of the study area within the construction site, showing the distribution of fractures, faults, and dikes. The map highlights the primary trends of dikes in ENE, NNE, and NE orientations, along with their spatial relationships with fractures and fault systems. Main faults develop along the boundaries or within NE-striking dikes. Dike distribution and fracture orientation are governed by major faults. Passive intrusion creates dikes with zigzag shapes controlled by pre-existing fractures.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g003.tif">
<alt-text content-type="machine-generated">Geological map displaying fractures, faults, deformed dikes, dikes, and granite areas. The main fault follows a northeast trend through high-density fracture zones. Insets highlight specific sections, and a compass rose indicates north. A scale bar is at the bottom.</alt-text>
</graphic>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Equal-area stereonet and rose diagram analyses of the study area of fractures, faults, and dikes. Fractures predominantly display ENE and NNE orientations, forming a high-intensity grid-like pattern. Faults are primarily oriented WNW, NE-SW, and dikes exhibit ENE, NNE, and NE orientations.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g004.tif">
<alt-text content-type="machine-generated">Three sets of rose diagrams and density plots show geological data. The top row displays density plots for fractures, faults, and dikes with color gradients from blue to red, indicating intensity. The bottom row features rose diagrams for fractures (gray, n&#x3d;2324), faults (red, n&#x3d;103), and dikes (blue, n&#x3d;212), indicating directional data. Each rose diagram has concentric circles for frequency and radial axes for direction, labeled with degrees.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Passive dike intrusion and apparent fault displacement</title>
<p>Dike trajectories are controlled by mechanical interactions between shear stresses and pre-existing fractures, with host rock heterogeneity and magmatic overpressure further influencing propagation dynamics. At dike tips, tensile fractures transition to shear fractures as magmatic pressure and host rock heterogeneity rotate principal stress orientations (<xref ref-type="bibr" rid="B24">Gudmundsson, 2002</xref>; <xref ref-type="bibr" rid="B16">Dering et al., 2019</xref>). This stress reconfiguration drives the development of en-echelon fracture arrays and promotes fault reactivation through localized strain accumulation. In the study area, three distinct dike orientations reflect these stress-fracture interactions (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>): ENE-striking dikes exhibit sharp, planar boundaries and extensive lateral continuity, terminating at or intruding along NNE-oriented fractures (<xref ref-type="fig" rid="F1">Figure 1B</xref>) or developing trailing geometries (<xref ref-type="fig" rid="F1">Figure 1C</xref>). NNE-striking dikes display limited continuity, forming sinuous (zigzag) geometries where they interact with ENE-striking dikes. NE-striking dikes maintain lateral continuity despite irregular boundaries and variable thickness, occasionally exploiting pre-existing NNE- or ENE-striking fractures as pathways.</p>
<p>The direction of dike extension typically aligns with the &#x3c3;<sub>3</sub> orientation. However, in regions with complex geometries caused by passive intrusion, such as dike bending, branching, or irregular terminations, this relationship becomes unclear. The three dominant dike orientations (<xref ref-type="fig" rid="F4">Figure 4</xref>) indicate variable propagation paths governed by local rotations of stress field or pre-existing fracture networks, complicating the identification of the &#x3c3;<sub>3</sub> direction. To address this uncertainty, geometric restoration methods were applied to resolve complex stress fields and reconstruct stress regimes associated with non-linear fracture patterns.</p>
<p>In this study, dike boundaries were geometrically restored, and their relationships with fractures were analyzed (<xref ref-type="fig" rid="F5">Figure 5</xref>). Dikes were first extracted from the bedrock (<xref ref-type="fig" rid="F5">Figure 5A</xref>), with kink points along dike boundaries identified as piercing points for restoration (<xref ref-type="fig" rid="F5">Figure 5B</xref>). The shortest path connecting these points revealed a dilation direction of approximately 332&#xb0; (&#x3c3;<sub>Hmin</sub>: 332&#xb0;, &#x3c3;<sub>Hmax</sub>: 062&#xb0;; <xref ref-type="fig" rid="F5">Figures 5C,D</xref>). Although the shortest-path reconstruction indicated a consistent dilation direction of approximately 332&#xb0;, slight mismatches along dike boundaries remained. To resolve these mismatches, the northernmost fracture was adjusted by a 3&#xb0; counterclockwise rotation, which aligned the fractures into a pre-intrusion configuration. This adjustment suggests that the mismatches resulted from oblique dike intrusion or irregular fracture growth along dike margins. Additionally, restricted fracture propagation at dike tips could induce localized stress variations, leading to block rotation within the dike body. The main dike (deformed dike) extends over 250 m with irregular boundaries and complex branching, yet maintains overall lateral continuity representing the primary extensional direction (<xref ref-type="fig" rid="F3">Figure 3</xref>). We interpret this 332&#xb0; dilation as reflecting the local minimum principal stress (&#x3c3;<sub>3</sub>) orientation during emplacement, indicating NW&#x2013;SE extension and &#x3c3;<sub>Hmax</sub> of &#x223c;062&#xb0;. However, dilation represents strain and does not necessarily coincide with stress orientation. This interpretation pertains to the dominant NE-trending extensional system, whereas dikes that intruded passively along pre-existing ENE and NNE fractures reflect structural inheritance rather than the prevailing ambient stress conditions.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Detailed grid map of a mafic dike. <bold>(B&#x2013;D)</bold> Restoration of the zigzag bending type dike. Stereographic projection indicates trends of opening direction of the mafic dike (332&#xb0;).</p>
</caption>
<graphic xlink:href="feart-13-1630039-g005.tif">
<alt-text content-type="machine-generated">A sequence of diagrams labeled A to D illustrates a geological process. A shows a photo of a dike in rock. B is a simplification highlighting the dike. C depicts the removal of the dike, showing a fracture. D is a circle indicating fracture opening directions at a mean of three hundred thirty-two degrees. Each stage is connected with arrows explaining the process: extract, remove, and restore.</alt-text>
</graphic>
</fig>
<p>In the study area, dikes are observed intruding into orthogonal fracture networks, with representative examples in <xref ref-type="fig" rid="F6">Figure 6</xref>. Irregular NE- and ENE-striking dikes exhibit blunt-ended tips and fault-controlled geometries, indicating passive intrusion where magma follows pre-existing fractures and is deflected by structural barriers (<xref ref-type="fig" rid="F6">Figure 6A</xref>). Some thin dikes (centimeter-scale) with narrowing tips form independently and terminate at N-S-striking faults. The dike geometry, including offsets and thickness variations, implies structurally controlled emplacement. The N-S-striking faults create apparent left-lateral displacement along the western fault segment and apparent right-lateral displacement along the eastern fault. This displacement is termed &#x201c;apparent&#x201d; because it results not from post-emplacement fault slip but from the inability of intruding magma to propagate across the pre-existing discontinuity. Instead, magma was deflected along the fault plane, creating discontinuous dike segments that appear offset in map view. The asymmetric thickness and distribution variations across the fault confirm syn-emplacement structural control rather than post-intrusion faulting.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Mafic dikes associated with shear stress between two dextral faults. <bold>(B)</bold> Dike with zig-zag geometry. The dikes are extended in the direction of minimum horizontal principal stress. <bold>(C)</bold> Fracture-controlled dike. The dike exhibits passive intrusion characteristics, non-penetration pre-existing fractures and injecting along them.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g006.tif">
<alt-text content-type="machine-generated">Three-panel geological image showing dike patterns and fault zones. Panel A depicts a wide view with a marked dike in blue and red fault lines. Panel B focuses on a zigzag dike geometry with arrows indicating direction and a close-up inset. Panel C highlights a fault zone with a visible intrusion dike along a fracture, marked by dashed lines, and a person in yellow pants for scale. North indicators are present in each panel.</alt-text>
</graphic>
</fig>
<p>A dike approximately 5 cm wide confined between two faults displays a zigzag geometry (<xref ref-type="fig" rid="F6">Figure 6B</xref>). The thickness of these zigzag-patterned dikes varies with fracture orientation, and some partially intrude N-S-striking fractures (<xref ref-type="fig" rid="F6">Figure 6B</xref>). These features indicate passive dike emplacement guided by pre-existing fractures. Irregular dike propagation along fractures results in displacement mismatches, causing terminations or deflections at fracture orientation changes (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F6">6B</xref>). Dikes terminate at the fractures, with some partially intruding along these fractures rather than being fully offset (<xref ref-type="fig" rid="F6">Figure 6C</xref>). The NE &#x3c3;<sub>Hmax</sub> (062&#xb0;) imposed dextral shear along the fractures and controlled NE-striking dike alignment, consistent with a stable stress regime during emplacement.</p>
<p>En-echelon E-W-striking dikes formed as overlapping or stepping sub-parallel fractures under an E-W &#x3c3;<sub>Hmax</sub>, commonly observed in extensional and transtensional settings (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F7">7</xref>). In fault growth models, such fractures develop in bedrock during early fault evolution or as a response to distributed shear strain (<xref ref-type="bibr" rid="B60">Mollema and Antonellini, 1999</xref>; <xref ref-type="bibr" rid="B66">Peacock, 2001</xref>). The mapped en-echelon dikes extend to approximately 6 m, with width of 0.3 to 0.7 m and spacing of 2.4&#x2013;3.1 m. Their widths are greatest at the midsection and gradually taper toward the edges.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>En-echelon pattern of mafic dikes. Stage 0: En-echelon fractures form under E-W maximum horizontal stress. Stage 1: Mafic dikes intrude along pre-existing en-echelon fractures under NE-SW maximum horizontal stress.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g007.tif">
<alt-text content-type="machine-generated">Diagram illustrating dike propagation with stages of emplacement. The left shows en echelon fracture patterns and directional arrows for stress orientation, labeled &#x22;Stage 0 Pre-emplacement&#x22; and &#x22;Stage 1 Syn-emplacement.&#x22; A curved dike and dike planes are marked, highlighting &#x3C3;hmax and &#x3C3;hmin directions. An inset shows rock texture. A scale bar indicates 20 meters.</alt-text>
</graphic>
</fig>
<p>The E-W-striking en-echelon fractures could originate as extensional features under an E-W &#x3c3;<sub>Hmax</sub> stress which may also explain their association with right-lateral shear deformation (<xref ref-type="fig" rid="F7">Figure 7</xref>). During dike emplacement, the regional stress regime shifted from an earlier E-W to NE &#x3c3;<sub>Hmax</sub> (<xref ref-type="fig" rid="F5">Figure 5</xref>), indicating a significant reorientation of the principal stress axis. This shift is supported by sigmoidal (curved) dikes within shear zones, which resemble tension gashes and indicate NE &#x3c3;<sub>Hmax</sub> (<xref ref-type="fig" rid="F7">Figure 7</xref>). Additionally, NE-striking veins and fractures are confined between dikes, without extending beyond their boundaries. The geometry of connecting fractures suggests sinistral shear displacement. NE-striking fractures between dikes contain vein infill, indicating post-emplacement hydrothermal activity.</p>
<p>Significantly, subsidiary veins confined between E-W dikes exhibit geometric characteristics identical to linking damage zones observed in reactivated E-W sinistral fault systems elsewhere in the study area. This indicates a three-stage evolution: first, E-W &#x3c3;<sub>Hmax</sub> generated initial en-echelon fractures, second, NE &#x3c3;<sub>Hmax</sub> controlled dike intrusion along these fractures, producing curved geometries at terminations under normal fault conditions; and third, continued NE &#x3c3;<sub>Hmax</sub> led to post-emplacement sinistral deformation under strike-slip fault conditions, creating linking damage zone characteristics between dike segments.</p>
</sec>
<sec id="s4-3">
<title>4.3 Vein formation after dike emplacement</title>
<p>Calcite-dominated veins preferentially filled pre-existing fractures aligned with dike orientations and clustered along dike margins and interiors, where hydrothermal fluids intensely altered the dike (<xref ref-type="fig" rid="F8">Figures 8A,B</xref>). Vein formation occurred after dike cooling, as indicated by cross-cutting relationships. Late-stage hydrothermal activity produced a stockwork vein network and brecciated dike interiors through selective dissolution of mechanically weakened zones (<xref ref-type="fig" rid="F8">Figure 8B</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> Calcite veins sealed around deformation zone. Orientation is non-systematic. <bold>(B)</bold> Deformed margin of mafic dike and veins sealed inside deformation zone. Weathered and deformed mafic dike seem to be coble and gravel. <bold>(C,D)</bold> Sinistral faults related structures. Along the fault, highly altered zone and tip damage zone are recognized.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g008.tif">
<alt-text content-type="machine-generated">Panel A shows a deformation zone within granite, highlighting a dike and effects of hydrofracturing. Panel B displays weathering and hydrofracturing in granite with measurement scale. Panel C presents a field view with equipment and orientation marked. Panel D is a diagram illustrating an ENE fault with extension fractures, tip damage zone, water, and concrete areas for context.</alt-text>
</graphic>
</fig>
<p>Stress concentrations at dike-bedrock interfaces (driven by stiffness contrasts and mechanical anisotropy) localized fracture propagation and vein mineralization (<xref ref-type="bibr" rid="B12">d&#x2019;Alessio and Martel, 2005</xref>; <xref ref-type="bibr" rid="B28">Gwon and Kim, 2016</xref>). ENE-striking sinistral faults and associated NE-SW secondary fractures also contain veins (<xref ref-type="fig" rid="F8">Figures 8C,D</xref>), indicating that fault reactivation occurred after dike emplacement.</p>
</sec>
<sec id="s4-4">
<title>4.4 ENE-striking fault reactivation</title>
<p>The fracture system in the study area is dominated by two principal orientations. Several ENE-striking fractures are reactivated as sinistral faults under NE horizontal stress (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F8">8C</xref>, <xref ref-type="fig" rid="F9">9</xref>). One of the sinistral faults in the study area is associated with an 8 m-wide tip damage zone containing densely clustered secondary fractures (averaging 10 m in length) that trend 045&#xb0; with steep dips (<xref ref-type="fig" rid="F8">Figure 8D</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Fracture intensity and connectivity analysis across the DF<sup>2</sup> network. <bold>(A)</bold> Detailed structural mapping of fractures, faults, and dikes in the study area, showing increased fracture intensity in fault linkage zones and domain 1. <bold>(B)</bold> Spatial visualization of fracture intensity (P<sub>21</sub>) highlighting localized variations influenced by the dike boundary. <bold>(C)</bold> Connectivity map (<inline-formula id="inf5">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mi mathvariant="italic">B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) illustrating fracture connectivity between Domain 1 and Domain 2. <bold>(D)</bold> <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mi mathvariant="italic">B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> parameter indicating slightly higher connectivity in Domain 1 compared to Domain 2. <bold>(E)</bold> Cumulative frequency of fractures along transects A-A&#x2032;, emphasizing the influence of the dike on fracture distribution and intensity. Faults partly increase the frequency, but the biggest change is around the dike.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g009.tif">
<alt-text content-type="machine-generated">Geological map and analysis with multiple panels. Panel A shows a map with deformed dike, fractures, and faults. Panels B and C display grid overlays of dike structures with intensity and topology parameter scales. Panel D has triangular plots comparing two domains. Panel E presents a graph of cumulative frequency versus distance, highlighting faults and domains. A scale bar indicates a length of twenty meters.</alt-text>
</graphic>
</fig>
<p>Detailed mapping on an excavation surface (<xref ref-type="fig" rid="F9">Figure 9A</xref>) reveals ENE-striking sinistral faults with left-stepping geometries and vein-filled linking damage zones. Secondary fractures concentrate along fault segments and within linkage zones, where fracture density peaks. In the southeastern part of <xref ref-type="fig" rid="F9">Figure 9A</xref>, a sinistral fault (thick red lines) crosscuts a dike, forming breccia and branching into multiple segments. Fracture density analysis indicates higher values east of the NE-striking dike (Domain 1) compared to the west (Domain 2; <xref ref-type="fig" rid="F9">Figure 9A</xref>).</p>
</sec>
<sec id="s4-5">
<title>4.5 Dike-controlled fracture system and topological analysis</title>
<p>To investigate the structural interactions of DF<sup>2</sup> system, we employed a topological analysis in the SE sector of the study area (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F9">9</xref>). Digitized fracture traces were analyzed using QGIS&#x2019;s NetworkGT toolkit to calculate two metrics (P<sub>21</sub> and <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mi mathvariant="italic">B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>).</p>
<sec id="s4-5-1">
<title>4.5.1 Fracture intensity and connections per branch</title>
<p>Domain 1 (6.14 m<sup>&#x2212;1</sup>) exhibits 2.84 times higher P<sub>21</sub> than Domain 2 (2.16 m<sup>&#x2212;1</sup>), with a domain area ratio of 1:4.34 (656.98 m<sup>2</sup>:2850.02 m<sup>2</sup>; <xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="fig" rid="F9">Figure 9B</xref>). This sharp contrast in fracture intensity aligns with the dike boundary. Domain 1 displays uniformly high fracture intensity, whereas Domain 2 shows fractures concentrated near fault linkage zones and fault-tensile fracture intersection zones (<xref ref-type="fig" rid="F9">Figure 9B</xref>). This partitioning reflects the dike-dominant control on fracturing in Domain 1 and fault-driven processes in Domain 2.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Quantitative analysis of fracture network characteristics in Domain 1 and Domain 2.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Domain 1</th>
<th align="center">Area (m<sup>2</sup>)</th>
<th align="center">E</th>
<th align="center">I</th>
<th align="center">X</th>
<th align="center">Y</th>
<th align="center">No. Nodes</th>
<th align="center">No. Branches</th>
<th align="center">No. Connections</th>
<th align="center">Connect/B</th>
<th align="center">2D intensity</th>
<th align="center">Total trace length</th>
<th align="center">Total fracture number</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="center">656.98</td>
<td align="center">196</td>
<td align="center">9,617</td>
<td align="center">1,450</td>
<td align="center">3,853</td>
<td align="center">14,920</td>
<td align="center">13,488</td>
<td align="center">5,303</td>
<td align="center">1.29</td>
<td align="center">6.14</td>
<td align="center">4036.84</td>
<td align="center">6,732</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th align="left">Domain 2</th>
<th align="center">Area (m<sup>2</sup>)</th>
<th align="center">E</th>
<th align="center">I</th>
<th align="center">X</th>
<th align="center">Y</th>
<th align="center">No. Nodes</th>
<th align="center">No. Branches</th>
<th align="center">No. Connections</th>
<th align="center">Connect/B</th>
<th align="center">2D Intensity</th>
<th align="center">Total Trace Length</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="center">2,850.02</td>
<td align="center">134</td>
<td align="center">8,410</td>
<td align="center">1,002</td>
<td align="center">2,646</td>
<td align="center">12,058</td>
<td align="center">10,178</td>
<td align="center">3,648</td>
<td align="center">1.17</td>
<td align="center">2.16</td>
<td align="center">6159.68</td>
<td align="center">5,651</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Parameters include area, number of nodes, branches, and connections, as well as connectivity (Connect/B), 2D intensity, total trace length, and total fracture number. Domain 1 exhibits higher 2D intensity and total fracture number, reflecting localized deformation and fracture concentration compared to Domain 2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values are 1.29 (Domain 1) and 1.17 (Domain 2), indicating slightly higher connectivity in Domain 1 despite its significantly higher P<sub>21</sub> (<xref ref-type="table" rid="T1">Table 1</xref>; <xref ref-type="fig" rid="F9">Figures 9C,D</xref>). The small variation in <inline-formula id="inf9">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> between domains suggests a weak correlation with P<sub>21</sub>. Fracture connectivity primarily controls <inline-formula id="inf10">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, but the total number of nodes and fractures also plays a role. Larger areas typically contain more nodes and fractures than smaller regions, even with differing fracture intensities. In Domains 1 and 2, the total node counts (14,920 vs. 12,058) and fracture counts (6,732 vs. 5,651) are comparable. The area difference explains the minor variation in node and fracture numbers, contributing to the small <inline-formula id="inf11">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> difference between domains.</p>
</sec>
<sec id="s4-5-2">
<title>4.5.2 Dike as a mechanical barrier</title>
<p>Fractures intersecting the A-A&#x2032; transect were identified and counted to construct a cumulative frequency graph (<xref ref-type="fig" rid="F9">Figure 9E</xref>). The results indicate that fracture frequency varies with proximity to the dike, with the dike exerting a stronger control on fracture patterns than the surrounding faults. The study area comprises mafic dikes intruding a granite basement, later crosscut by E-W-striking sinistral strike-slip faults. These faults create lateral damage zones with high fracture densities; however, the dikes act as mechanical barriers, restricting fracture propagation and growth (<xref ref-type="bibr" rid="B78">Segall and Pollard, 1980</xref>; <xref ref-type="bibr" rid="B73">Ruf et al., 1998</xref>; <xref ref-type="bibr" rid="B4">Bai and Pollard, 2000</xref>; <xref ref-type="bibr" rid="B81">Shang et al., 2018</xref>). This barrier effect arises from mechanical contrasts, including differences in stiffness and tensile strength between the dikes and the granite. These contrasts modify local stress fields, confine lateral fracture propagation, and influence the deformation dynamics of the surrounding rock mass. Stress and strain concentrate near these mechanical discontinuities, leading to localized deformation along dike margins.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<sec id="s5-1">
<title>5.1 Dike-fault geometry and fault reactivation</title>
<p>During dike intrusion, magma-driven stresses (e.g., overpressure and shear coupling along fractures) reorient the local stress field. These stress perturbations can trigger slip along pre-existing fractures or generate new tensile fractures parallel to the NE &#x3c3;<sub>Hmax</sub> (062&#xb0; &#xb1; 10&#xb0;), which dominated during the main phase of dike emplacement (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F10">10A</xref>). These fractures and associated normal faults act as preferential magma pathways, contributing to fault system maturation through cyclical damage accumulation (<xref ref-type="bibr" rid="B61">Muirhead et al., 2016</xref>; <xref ref-type="bibr" rid="B11">Currenti et al., 2019</xref>). In our study area, these fractures and associated normal faults subsequently served as preferential pathways for magma migration, promoting cyclical damage accumulation and the progressive maturation of the fault zones. This process is evidenced by sigmoidal dike geometries and overprinting slickenlines (<xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F10">10E,F</xref>). Repeated intrusions convert fault zones into complex networks, generating secondary fractures, subsidiary faults, and branching geometries. Mature fault systems accommodate dikes with complex geometries, contrasting with simpler geometries in undeformed bedrock (<xref ref-type="bibr" rid="B86">Spacapan et al., 2016</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> Observed segment of a NE-striking fault within the dike. <bold>(B)</bold> Dikes intruded along pre-existing fractures or simultaneous tensile fractures. <bold>(C)</bold> Thick fault gouge developed within the dike, and faults cutting through both dikes and veins. <bold>(D)</bold> A tip of dike controlled by the NE-striking fracture. <bold>(E)</bold> Oblique calcite slickenfiber (33&#xb0;/249&#xb0;). <bold>(F)</bold> Superimposed slickenlines on the NE-striking fault plane showing oblique-slip (46&#xb0;/213&#xb0;) and strike-slip (03&#xb0;/215&#xb0;) senses.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g010.tif">
<alt-text content-type="machine-generated">Composite image showing a geological map and photographs. Panel A displays a map with a red line across a purple and pink background, indicating geological features. Panels B, C, and D focus on rock formations with varying textures and colors. Panels E and F show close-ups of rocks with visible striations and labeled angles, 33 degrees/249 degrees and 46 degrees/213 degrees, 03 degrees/215 degrees, respectively, with directional labels NE, SW.</alt-text>
</graphic>
</fig>
<p>The NE-striking dikes form laterally continuous networks (&#x3e;250 m) displaying asymmetric and fault-parallel branching geometries (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F10">10</xref>). Dense fracturing occurs within dike interiors and along margins that run parallel to adjacent faults, merging into &#x223c;8&#x2013;10 m wide deformation zones surrounding those faults. These zones contrast sharply with narrow fault gouge zones (&#x223c;5 cm) along slip surfaces. Faults develop along dike boundaries and interiors, displacing dike margins and internal veins (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F10">10A,C</xref>). Blunt-ended dike tips and their injection into fractures aligned with main faults (<xref ref-type="fig" rid="F10">Figures 10B,D</xref>) indicate that emplacement was controlled by pre-existing or simultaneous tensile fractures. Slickenlines record normal-oblique slip (plunge 33&#xb0;, 46&#xb0;) and strike-slip (plunge 1&#xb0;) movements (<xref ref-type="fig" rid="F10">Figures 10E,F</xref>). Superimposed slickenlines indicate post-intrusion clockwise stress rotation (&#x394; &#x3c3;<sub>Hmax</sub> &#x3d; &#x223c;20&#xb0;) and multi-phase reactivation under normal to dextral fault movement (<xref ref-type="bibr" rid="B28">Gwon and Kim, 2016</xref>).</p>
<p>The NE-striking main fault dips northwest and accommodates a dike cluster in its hanging wall, while fracture patterns differ between the hanging wall and footwall (<xref ref-type="fig" rid="F3">Figure 3</xref>). This suggests the main fault may act as the boundary of a local graben during dike emplacement (<xref ref-type="bibr" rid="B70">Rahimi et al., 2025</xref>). Geometric similarity between dikes and main faults, including branching patterns and repeated fault reactivations along dikes, indicates that pre-existing normal faults provided pathways for dike emplacement. Fault nucleation within dike interiors and shear-coupled reactivations further support this process.</p>
<p>Dikes initially used tensile fractures (Mode I) under a NE-striking &#x3c3;<sub>Hmax</sub>, as shown by fracture arrays parallel to the dike. Subsequent fault movements, transitioning from normal to strike-slip, as recorded by striae overprinting (<xref ref-type="fig" rid="F10">Figures 10E,F</xref>), reflect a clockwise rotation of the post-emplacement stress field from a normal to a strike-slip regime. Repeated reactivation along dike interiors and boundaries demonstrates their role as inherent structural weaknesses, facilitating strain localization during tectonic events.</p>
<p>These observations demonstrate that dike-fault interactions are governed by syn-emplacement stage coupling of magma-driven fracturing and tectonic shear, rather than separate tectonic episodes.</p>
</sec>
<sec id="s5-2">
<title>5.2 Dike emplacement mechanisms: forceful vs. passive intrusion</title>
<p>Forceful intrusions generate new fractures by exceeding the tensile strength of intact rock, whereas passive intrusions utilize pre-existing fractures under moderate magmatic pressure. These mechanisms often coexist, reflecting the interplay between magmatic pressure and structural fracture complexity of the bedrock (<xref ref-type="bibr" rid="B67">Pollard, 1987</xref>; <xref ref-type="bibr" rid="B52">Lister and Kerr, 1991</xref>; <xref ref-type="bibr" rid="B57">Mart&#xed;nez-Poza et al., 2014</xref>). The emplacement of dikes in the study area occurs through two primary emplacement mechanisms.</p>
<p>The ENE- and ENE-striking fractures form a grid-like pattern with dikes intruding along fractures (<xref ref-type="fig" rid="F1">Figures 1B</xref>, <xref ref-type="fig" rid="F3">3</xref>, <xref ref-type="fig" rid="F6">6C</xref>) or partially penetrating them (<xref ref-type="fig" rid="F1">Figures 1C</xref>, <xref ref-type="fig" rid="F3">3</xref>, <xref ref-type="fig" rid="F6">6A</xref>). Zigzag geometries indicative of passive intrusion are observed at various scales (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F5">5</xref>, <xref ref-type="fig" rid="F6">6B</xref>). Restoration of these geometries suggests a &#x3c3;<sub>Hmax</sub> orientation of 062&#xb0; aligned with forceful dike planes (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F6">6A</xref>, <xref ref-type="fig" rid="F10">10B</xref>). Dike intrusions associated with shear deformation form en-echelon structures (<xref ref-type="fig" rid="F7">Figure 7</xref>) and reactivate N-S-striking fractures (<xref ref-type="fig" rid="F6">Figure 6</xref>). NE-striking dikes follow primary extension, generating fault parallel or sub-parallel fractures during forceful emplacement. Post-dike emplacement faulting involved hydrofracturing (<xref ref-type="fig" rid="F9">Figure 9</xref>).</p>
<p>A hybrid model integrating passive and forceful intrusion mechanisms is proposed based on our observations (<xref ref-type="fig" rid="F11">Figure 11</xref>). Throughout the syn-emplacement stage, dikes employ a dual mechanism: exploiting pre-existing fractures in the basement rock and propagating through intact bedrock via magmatic overpressure. Post-emplacement ENE-striking sinistral movement occurs under a rotated stress field where the NE &#x3c3;<sub>Hmax</sub> becomes dominant (<xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8C</xref>, <xref ref-type="fig" rid="F9">9A</xref>). This motion is facilitated by inversion of the &#x3c3;<sub>1</sub> and &#x3c3;<sub>2</sub> axes during dike emplacement, which also triggers hydrothermal alteration along reactivated fault zones. Stress orientations inferred here assume regional homogeneity, but local variations could arise from complex magma chamber geometries (e.g., multi-chamber systems; <xref ref-type="bibr" rid="B31">Hazarika et al., 2024</xref>). As our study area lacks exposed chambers, this remains speculative. Future work should integrate geophysical constraints to resolve such uncertainties.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Conceptual model illustrating dike intrusion and associated fracture development under regional stress conditions. <bold>(A)</bold> During syn-emplacement, NNE- and ENE-striking dikes intrude along pre-existing fractures, guided by the maximum horizontal compressive stress (&#x3c3;<sub>Hmax</sub>; 062&#xb0;) and minimum horizontal compressive stress with NE-striking dikes (&#x3c3;<sub>Hmin</sub>; 332&#xb0;). <bold>(B)</bold> Post-emplacement, subsequent tensile-shear transition generated ENE sinistral faults and hydrothermal mineral infilling. <bold>(C)</bold> Map view, syn-emplacement, forceful intrusion induces new fracture formation at dike tips and margins, while passive intrusion follows pre-existing fracture networks.</p>
</caption>
<graphic xlink:href="feart-13-1630039-g011.tif">
<alt-text content-type="machine-generated">Diagram illustrating stress distributions and fractures in a rock block. The left side shows two 3D perspectives of a block with existing and new fractures marked by blue and red lines. Arrows indicate stress directions: &#x3C3;1, &#x3C3;2, &#x3C3;3. The right side has a plan view with compass, noting &#x3C3;hmin at 332 degrees and &#x3C3;hmax at 62 degrees. Descriptions include pre-existing fractures and new fractures, noting directions such as NNE and ENE for intrusion dikes.</alt-text>
</graphic>
</fig>
<p>Hybrid emplacement appears broadly applicable, depending on three interdependent controls. (1) Depth&#x2013;rheology: At shallow levels (&#x3c;&#x223c;5 km) low mean stress promotes forceful, mode-I dike (<xref ref-type="bibr" rid="B6">Brace and Kohlstedt, 1980</xref>; <xref ref-type="bibr" rid="B74">Rybacki et al., 2021</xref>). Within the brittle&#x2013;ductile transition (5&#x2013;15 km) both tensile failure and structural reactivation coexist, yielding true hybrids (this study). Below &#x223c;15 km, high-temperature ductile flow confines magma to pre-existing anisotropies (<xref ref-type="bibr" rid="B47">Klepeis et al., 2022</xref>; <xref ref-type="bibr" rid="B9">Chatterjee et al., 2024</xref>). (2) Host lithology: sedimentary successions generate sill-dike networks along bedding (<xref ref-type="bibr" rid="B86">Spacapan et al., 2016</xref>; <xref ref-type="bibr" rid="B54">Magee et al., 2016</xref>), whereas high-grade gneiss directs magma along foliations (<xref ref-type="bibr" rid="B32">He et al., 2020</xref>; <xref ref-type="bibr" rid="B100">Zhang et al., 2024</xref>). (3) Magma rheology: low viscosities (&#x223c;10<sup>2</sup>&#x2013;10<sup>4</sup> Pa s) favour pervasive fracture infiltration, intermediate values (&#x223c;10<sup>4</sup>&#x2013;10<sup>6</sup> Pa s) optimize hybrid behavior, and high viscosities (&#x3e;&#x223c;10<sup>6</sup> Pa s) bias intrusion toward fault-controlled pathways (<xref ref-type="bibr" rid="B23">Giordano et al., 2008</xref>).</p>
<p>These results from the study area demonstrate that dike emplacement systems result from the coupled effects of structural inheritance and magmatic forcing. Pre-existing fractures facilitate passive magma intrusion, while magma overpressure generates new fractures via forceful intrusion. This dual mechanism, where structural inheritance and structural generation operate throughout the syn-emplacement stage, highlights the need for integrated models to resolve crustal deformation in pre-existing basement rocks.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>This study elucidates the dynamic interplay between dike emplacement, fracture networks, and fault reactivation of DF<sup>2</sup> system in Late Cretaceous granitic bedrock of southeast Korea. By integrating field observations, geometric restoration, and topological analysis, we demonstrate that dike intrusions occur through hybrid mechanisms combining forceful fracturing of intact bedrock and passive exploitation of pre-existing fractures, governed by syn-emplacement stage coupling of magmatic and tectonic processes. Key findings include:<list list-type="simple">
<list-item>
<p>1. Hybrid Emplacement Mechanisms: NE-striking dikes exhibit both forceful (Mode I fracturing under NW-SE &#x3c3;<sub>3</sub>) and passive (guided by ENE-WSW/NNE-SSW fracture sets) intrusion styles. Their coexistence reflects interactions between magmatic overpressure and structural inheritance, with dike geometries (e.g., zigzag patterns, blunt tips) serving as characteristic markers of these processes.</p>
</list-item>
<list-item>
<p>2. Dike-Fault Mechanical Interactions: Dikes act as dual mechanical features, serving as both barriers that inhibit fracture propagation and stress concentrators that promote fault reactivation. Fracture intensity (P<sub>21</sub>) and connectivity (<inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mi mathvariant="italic">B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) contrasts across dike boundaries (Domain 1 vs. Domain 2) highlight their role in partitioning deformation.</p>
</list-item>
<list-item>
<p>3. Structural Inheritance in DF<sup>2</sup> system: Pre-existing fractures and faults control dike trajectories, guiding magma along zones of mechanical weakness. As dikes intrude, they generate localized stress variations that promote fault re-activation, nucleation, and strain concentration along their margins and interiors. This interaction results in structurally interconnected dike-fault networks, where repeated reactivation reinforces these zones as long-term crustal weaknesses.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>JL: Formal Analysis, Visualization, Methodology, Data curation, Resources, Investigation, Software, Writing &#x2013; review and editing, Conceptualization, Writing &#x2013; original draft. GK: Formal Analysis, Visualization, Methodology, Software, Writing &#x2013; original draft. Y-SK: Supervision, Writing &#x2013; review and editing, Funding acquisition.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research was supported by Global-Learning and Academic research institution for Master&#x2019;s PhD students, and Postdocs (LAMP) Program of the National Research Foundation of Korea (NRF) grant funded by the Ministry of Education (No. RS-2023-00301702) and the Human Resources Development Project for HLW Management hosted by KORAD and MOTIE.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The author(s) declare that Generative AI was used in the creation of this manuscript. After writing the manuscript, we used generative AI to correct grammatical errors.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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