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<front>
<journal-meta>
<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>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1108032</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1108032</article-id>
<article-categories>
<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>Development characteristics of multi-scale fracture network systems in metamorphic buried hills</article-title>
<alt-title alt-title-type="left-running-head">Mi 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.2022.1108032">10.3389/feart.2022.1108032</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Mi</surname>
<given-names>Lijun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fan</surname>
<given-names>Hongjun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fan</surname>
<given-names>Tingen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gong</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1373291/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Niu</surname>
<given-names>Tao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Xiaocen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Luo</surname>
<given-names>Jianghua</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Yonghe</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>CNOOC Research Institute Ltd</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Bohai-Rim Energy Research Institute</institution>, <institution>Northeast Petroleum University</institution>, <addr-line>Qinhuangdao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Institute of Chongqing Unconventional Oil and Gas Development</institution>, <institution>Chongqing University of Science and Technology</institution>, <addr-line>Chongqing</addr-line>, <country>China</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/1237463/overview">Hu Li</ext-link>, Southwest Petroleum University, China</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/2115380/overview">Xiaodong Lan</ext-link>, China University of Geosciences, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1673231/overview">Jinxiong Shi</ext-link>, Yangtze University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Lei Gong, <email>kcgonglei@foxmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Structural Geology and Tectonics, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1108032</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Mi, Fan, Fan, Gong, Niu, Su, Luo and Sun.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Mi, Fan, Fan, Gong, Niu, Su, Luo and Sun</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>Natural fractures are regarded as important reservoir spaces and effective seepage channels at metamorphic buried hills. Continuous networks associated with multi-scale fractures with good connectivity is critical for high-quality reservoirs as well as high and stable production in the tight metamorphic rocks. The multi-scale fractures in Bozhong 19&#x2013;6 metamorphic buried hills were well characterized through integrating image logs, cores, thin-sections, and scanning electron microscope, <italic>etc.</italic> After that, power-law distribution of multi-scale fractures was established to understand contribution of fractures to reservoir quality and figure out structure models of fracture networks as well as their impact on production. Results show that parameters of fracture systems vary regularly with fracture scales. Fracture development degree, e.g., cumulative areal density, increases as a power law function with decreasing fracture size from macro to micro (e.g., aperture and/or length), where storage space associated with micro fractures is also increased. Reversely, fracture connectivity and permeability follow a significant decreasing trend. Five structure models of fracture network were established based on combination pattern of multi-scale fractures: multi-scale fracture network with high-density and multi-sets, large-scale fracture network with medium-density and multi-sets, small-scale fracture network with high-density and multi-sets, large-scale fracture network with low-density and multi-sets, and small-scale fracture network with low-density and single-set. The former two fracture networks can be widely developed into high-quality reservoirs, contributing greatly to high and stable yields. Fracturing is required for the third and the fourth fracture networks to obtain stable production, while it is difficult for the fifth fracture network to obtain industrial oil and gas flow.</p>
</abstract>
<kwd-group>
<kwd>metamorphic buried hills</kwd>
<kwd>multi-scale fractures</kwd>
<kwd>structure models of fracture networks</kwd>
<kwd>contribution</kwd>
<kwd>power-law distribution</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Buried hills have been regarded as important oil and gas exploration targets for a long time. Currently a large number of theories have been developed to understand buried hill oil-gas accumulations (<xref ref-type="bibr" rid="B36">Ye et al., 2021</xref>; <xref ref-type="bibr" rid="B42">Zhou et al., 2022</xref>). Exploration practice has confirmed that diverse lithology were developed at buried hill reservoirs, e.g., volcanic rocks, carbonate rocks, clastic rocks and metamorphic rocks, where metamorphic reservoirs have the largest exploration potential (<xref ref-type="bibr" rid="B13">Hou et al., 2013</xref>; <xref ref-type="bibr" rid="B32">Wang et al., 2015</xref>; <xref ref-type="bibr" rid="B42">Zhou et al., 2022</xref>). Major breakthroughs have been recently made in Archaean metamorphic buried hills in the Bohai Bay Basin, China, e.g., Bozhong 19&#x2013;6 metamorphic buried hill, Xinglongtai buried hills and Jinzhou 25&#x2013;1 metamorphic buried hills at Liaohe Basin, which have obtained hundred million tons of reserves (<xref ref-type="bibr" rid="B15">Hu et al., 2017</xref>; <xref ref-type="bibr" rid="B30">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B33">Xu et al., 2020</xref>; <xref ref-type="bibr" rid="B36">Ye et al., 2021</xref>). Long-period weathering, diverse lithology, and multiple tectonic stress brought complex reservoir structure to Archaean metamorphic buried hills. Hence, how to effectively evaluate buried hills has always been a challenge for researchers (<xref ref-type="bibr" rid="B33">Xu et al., 2020</xref>). Previous researchers on metamorphic reservoirs mainly focused on characterization of fractured reservoirs at buried hills, fracture genesis and its impact on reservoir quality (<xref ref-type="bibr" rid="B31">Wang et al., 2022</xref>). Multiple reservoirs have been found at metamorphic buried hills, e.g., weathering crust reservoirs on top and fractured reservoirs within buried hills. Scholars have described fracture development phases and filling behaviors, and reported that fracture development in buried hills were closely related to multiple tectonic activities. Researchers show that natural fractures are not only storage space for metamorphic buried hills, but also effective seepage channels (<xref ref-type="bibr" rid="B5">Gao et al., 2015</xref>; <xref ref-type="bibr" rid="B11">Gong et al., 2016</xref>; <xref ref-type="bibr" rid="B3">Fan et al., 2021</xref>; <xref ref-type="bibr" rid="B37">Zeng et al., 2022a</xref>). Natural fractures not only connect various pores and enhance seepage capacity, but also are key factors governing high yield of metamorphic buried hills (<xref ref-type="bibr" rid="B16">Huang et al., 2016</xref>; <xref ref-type="bibr" rid="B15">Hu et al., 2017</xref>; <xref ref-type="bibr" rid="B35">Xue et al., 2020</xref>). However, increasing exploration and development activities at buried hill reservoirs gradually expose our poor understanding of multi-scale fracture development and its spatial configuration at buried hills (<xref ref-type="bibr" rid="B2">Cao et al., 2021</xref>; <xref ref-type="bibr" rid="B20">Li et al., 2022a</xref>), that is, fracture development degree may not be the only factor determining high and stable production of single wells. Fractures of multiple scales are varied in lengths and apertures, resulting in different connectivity and storage capacity. Therefore, understanding configuration mode and spatial distribution of multi-scale fractures is important to guide drilling and development scheme of buried hill reservoirs (<xref ref-type="bibr" rid="B7">Gong et al., 2017</xref>). Taking Bozhong 19&#x2013;6 metamorphic buried hill as an example, this paper uses image logs, core samples, thin sections, scanning electron microscope, <italic>etc.</italic>, to characterize genesis and distribution of multi-scale fractures, clarify fracture distribution modes and their contributions to storage capacity, establish structure model of fracture networks under various configurations, and discuss development characteristics and their impact on productivity.</p>
</sec>
<sec id="s2">
<title>Geological setting</title>
<p>Bozhong 19&#x2013;6 buried hill is located in the southwest of Bozhong Sag, Bohai Bay Basin, China (<xref ref-type="fig" rid="F1">Figures 1A,B</xref>). It is a nearly NS extending structural ridge bounded by the Southwest Sag, the central Sag, the South Sag and the Huanghekou Sag. It is a faulted anticline complicated by three strike-slip faults and their derivatives (<xref ref-type="fig" rid="F1">Figure 1C</xref>) (<xref ref-type="bibr" rid="B9">Gong et al., 2019a</xref>; <xref ref-type="bibr" rid="B33">Xu et al., 2020</xref>; <xref ref-type="bibr" rid="B35">Xue et al., 2020</xref>). Four sets of faults, i.e., N-S trending, NNE-SSW trending, NEE-SWW trending and E-W trending, were developed at the top of Bozhong 19&#x2013;6 buried hills. It is dominated by Archean metamorphic rocks, which is overlaid by Paleogene Kongdian Formation, Shahejie Formation, Dongying Formation, Neogene Guantao Formation, Minghuazhen Formation and Quaternary Pingyuan Formation (<xref ref-type="bibr" rid="B18">Li et al., 2019</xref>). Dark mudstone at the third Member and the first Member of Shahejie Formation, and the third Member of Dongying Formation are the primary source rocks in the study area. It is a typical tight reservoirs, with weak overpressure and normal pressure. The Archean metamorphic rocks are mainly granite-gneiss and plagioclase gneiss, while postintrusive dykes, e.g., diorite-porphyrite, <italic>etc.</italic>, are also developed (<xref ref-type="bibr" rid="B41">Zeng et al., 2016</xref>; <xref ref-type="bibr" rid="B14">Hou et al., 2019</xref>; <xref ref-type="bibr" rid="B34">Xu et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Ye et al., 2021</xref>). Metamorphic rocks are minerally dominated by light minerals, e.g., quartz, plagioclase and K-feldspar, and dark minerals, e.g., biotite and amphibole, with proportion of light minerals &#x3e;90%. Controlled by structure, weathering and lithology, Bozhong 19&#x2013;6 buried hill can be vertically divided into weathering zone and inner zone (<xref ref-type="bibr" rid="B24">Luo et al., 2013</xref>; <xref ref-type="bibr" rid="B23">Luo et al., 2015</xref>; <xref ref-type="bibr" rid="B22">Luo et al., 2016</xref>). Reservoirs at weathering zone are composed of structural fractures, weathering fractures, dissolved pores, <italic>etc.</italic>, where well-developed fractures result in continuous bed-like reservoirs. Reservoirs at inner zone is dominated by structural fractures, which is distributed in belt pattern controlled by high-angle faults.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location and structure outline of Bozhong 19&#x2013;6 metamorphic buried hill. <bold>(A)</bold> Location of the Bohai Bay Basin. <bold>(B)</bold> Location of the Bozhong 19&#x2013;6. <bold>(C)</bold> structure outline of Bozhong 19&#x2013;6</p>
</caption>
<graphic xlink:href="feart-10-1108032-g001.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Multi-scale fracture development</title>
<sec id="s3-1">
<title>Fracture development evidenced by image logs</title>
<p>Conductive fractures, resistive fractures, small faults, induced fractures, <italic>etc.</italic>, have been identified from image logs of 18 wells (<xref ref-type="fig" rid="F2">Figure 2A</xref>), while induced fractures as artificial fractures are not in our research category. Conductive fractures are the most popular ones among these three natural fracture types, accounting for 99% of the total fractures number (<xref ref-type="fig" rid="F3">Figure 3A</xref>). It is a good indicator of effective fracture networks in the study area. However, fillings identified from cores and thin-sections confirm (<xref ref-type="fig" rid="F3">Figures 3B,C</xref>) that 59 %&#x2013;68% of natural fractures are completely filled by minerals, e.g., quartz or calcite. Such a low resistive fracture number can be explained by that filling minerals are similar with that of parent rocks, making it difficult to distinguish them on image logs. In other words, image logs can only identify effective fractures.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Fracture types and development characteristics on image logs in the study area.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Effectiveness of fractures with multiple scales. <bold>(A)</bold> Effectiveness of fractures from image log data; <bold>(B)</bold> effectiveness of fractures from core data; <bold>(C)</bold> effectiveness of fractures from thin section data; <bold>(D)</bold> effectiveness of fractures from SEM data.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g003.tif"/>
</fig>
<p>The metamorphic rock reservoirs in the study area have complex fracture orientations, especially at the weathering zone on the upper part of the buried hill, where fractures are developed in almost all directions (<xref ref-type="fig" rid="F4">Figure 4A</xref>). It can be attributed to a large number of unsystematic weathering fractures. Fractures at the inner zone commonly follow four orientations, e.g., NEE-SWW trending, near E-W trending, near N-S trending and NW-SE trending (<xref ref-type="fig" rid="F4">Figure 4B</xref>). The fracture dip angles at weathering zone are mainly distributed at 30&#xb0;&#x2013;60&#xb0;, which is dominated by oblique fractures, with low-angle fractures and nearly vertical fractures of secondary importance (<xref ref-type="fig" rid="F4">Figure 4C</xref>). Medium to high dip angle at the inner zone suggests that it is dominated by structural fractures (<xref ref-type="fig" rid="F4">Figure 4D</xref>). The conductive fractures identified on image logs have large size, with fracture aperture of 50&#x2013;250&#xa0;&#x3bc;m (average value: 120.7&#xa0;&#x3bc;m) (<xref ref-type="fig" rid="F5">Figure 5A</xref>). The fracture areal density is about 1&#x2013;5&#xa0;m/m<sup>2</sup>, with an average of 2.4&#xa0;m/m<sup>2</sup> (<xref ref-type="fig" rid="F5">Figure 5B</xref>). The density in the weathering zone is higher than that in the inner zone. Fracture porosity detected by image logs is relatively low, about 0.02%&#x2013;0.2%, with an average of 0.10% (<xref ref-type="fig" rid="F5">Figure 5C</xref>). Fracture permeability detected by image logs is about 3&#x2013;10&#xa0;mD, with an average of 8.35&#xa0;mD (<xref ref-type="fig" rid="F5">Figure 5D</xref>), effectively improving reservoir seepage capacity.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Fracture occurrence at weathering zone and inner zone. Rose diagrams showing fracture strikes at weathering zone <bold>(A)</bold> and at inner zone <bold>(B)</bold>. Fracture dip angle at weathering zone <bold>(C)</bold> and at inner zone <bold>(D)</bold>.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Parameters distribution of fractures at multiple scales. <bold>(A)</bold> Fracture aperture. <bold>(B)</bold> Fracture areal density. <bold>(C)</bold> Fracture porosity. <bold>(D)</bold> Fracture permeability.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g005.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Fracture development on cores</title>
<p>Fractures on cores can be genetically divided into structural fractures and weathering fractures based on geological origin. Structural fractures are the most popular type in metamorphic reservoirs in the study area, with multi-stages, multi-directions (multi-sets), uneven development, difference in filling behaviors (<xref ref-type="fig" rid="F6">Figures 6A,B</xref>). Structural fractures have medium to high dip angles, ranging from 60&#xb0; to 90&#xb0;. They have large length on cores (diameter of 3 inches), generally larger than 10&#xa0;cm (mainly 12&#x2013;20&#xa0;cm), with an average of 17.09&#xa0;cm. Their areal density is mainly 10&#x2013;30&#xa0;m/m<sup>2</sup>, with an average of 20.1&#xa0;m/m<sup>2</sup>. Calcite and quartz filling can be widely observed, with full-filled fractures of 72%, half-filled fractures of 13% and unfilled fractures of 15%, 28% of them are effective fractures.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Fracture types and development characteristics on cores. Red arrows represent unfilled structural fractures, yellow arrows are calcite-filled structural fractures, purple arrows in <xref ref-type="fig" rid="F6">Figure 6</xref>. <bold>(A)</bold> Calcite-filled and unfilled structural fractures. <bold>(B)</bold> Unfilled and calcite-filled structural fractures. <bold>(C)</bold> Weathering fractures.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g006.tif"/>
</fig>
<p>Weathering fractures are mainly developed at weathering zone in honeycomb pattern or network pattern (<xref ref-type="fig" rid="F6">Figure 6C</xref>). They are poorly oriented, with curved or arc-shaped surface and unstable occurrence. They are developed in all directions, with dip angles from 0&#xb0; to 90&#xb0;. They are short in length, in a range of 4&#x2013;7&#xa0;cm, with an average of 5.81&#xa0;cm, while some can be decimeter-scale. Weathering fractures are well developed, with areal density of 30&#x2013;70&#xa0;m/m<sup>2</sup> (average value: 53.0&#xa0;m/m<sup>2</sup>, and up to 93&#xa0;m/m<sup>2</sup> locally). They are often filled with argillaceous or clay minerals, or are disseminated with iron (oxidized to red) (<xref ref-type="fig" rid="F3">Figure 3C</xref>). They are slightly filled compared with structural fractures, with full-filled ones of 68%, half-filled ones of 15% and unfilled ones of 17%, 32% of them are effective fractures.</p>
</sec>
<sec id="s3-3">
<title>Fracture development on thin-sections</title>
<p>Fractures can be divided into intergranular ones, intragranular ones and grain-edge ones based on relationship between micro fractures and mineral grains (<xref ref-type="bibr" rid="B40">Zeng et al., 2013</xref>; <xref ref-type="bibr" rid="B10">Gong et al., 2019b</xref>). Fractures observation on 265 thin-sections shows that intergranular fractures are popular in the study area (<xref ref-type="fig" rid="F7">Figures 7A,B</xref>). These fractures cut through multiple mineral grains, and even develop throughout the whole thin section. These microfractures are also highly filled, with full filling accounting for 70%, semi-filling accounting for 14% and unfilled ones accounting for 16%, while filling at weathering zone is slightly lower than that at inner zone. 14 filling mineral types can be identified, e.g., carbonate minerals (dolomite, calcite, ankerite and ferroan calcite), felsic matrix, quartz, argillaceous (ferrous), authigenic clay minerals (chlorite, kaolinite) and pyrite and siderite, <italic>etc.</italic> Fracture aperture is mainly distributed in 10&#x2013;150&#xa0;um, with peak value at 20&#x2013;50&#xa0;um (<xref ref-type="fig" rid="F5">Figure 5A</xref>). Filled fractures are 40&#x2013;150&#xa0;um in aperture (peak value at 50&#x2013;80&#xa0;um), while unfilled fractures are 10&#x2013;60&#xa0;um in aperture (peak value at 20&#x2013;40&#xa0;um).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Development characteristics of micro fractures. <bold>(A)</bold> Intergranular fracture, full to half filled; <bold>(B)</bold> intergranular fracture, unfilled; <bold>(C)</bold> intragranular fracture, unfilled; <bold>(D)</bold> intragranular fracture, half filled.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g007.tif"/>
</fig>
<p>The intergranular fractures are well developed, with areal density of 200&#x2013;600&#xa0;m/m<sup>2</sup> (an average value of 345.4&#xa0;m/m<sup>2</sup>) (<xref ref-type="fig" rid="F5">Figure 5B</xref>). The porosity of micro fractures on thin-sections is mainly 0.5%&#x2013;1.2%, with an average of 0.88% (<xref ref-type="fig" rid="F5">Figure 5C</xref>), while permeability is between 0.01&#xa0;mD and 1&#xa0;mD, with an average of 0.13&#xa0;mD (<xref ref-type="fig" rid="F5">Figure 5D</xref>).</p>
</sec>
<sec id="s3-4">
<title>Fracture development on SEM</title>
<p>Micro fractures under scanning electron microscope are mainly developed within mineral grains as intragranular fractures (e.g., cleavage cracks in feldspar, mica, calcite and quartz cracks) and grain-edge fractures. They have small apertures, ranging from 2&#xa0;&#x3bc;m to 8&#xa0;&#x3bc;m, with an average value of 5.8&#xa0;&#x3bc;m (<xref ref-type="fig" rid="F5">Figure 5A</xref>). The aperture of full-filled fractures is mainly distributed between 10&#xa0;&#x3bc;m and 30&#xa0;&#x3bc;m, averaging of 21.8&#xa0;&#x3bc;m. Although aperture is small, intragranular fractures are developed in almost all mineral grains, while multi-phase fractures can be observed at some grains. The areal density of intragranular fractures is mainly 400&#x2013;1000&#xa0;m/m<sup>2</sup>, with peak at 600&#x2013;800&#xa0;m/m<sup>2</sup> and average value of 700.5&#xa0;m/m<sup>2</sup> (<xref ref-type="fig" rid="F5">Figure 5B</xref>). Porosity of intragranular fractures is about 1.0%&#x2013;2.5%, with an average of 1.47% (<xref ref-type="fig" rid="F5">Figure 5C</xref>), while permeability is about 0.0001&#x2013;0.01&#xa0;mD, with an average of 0.0087&#xa0;mD (<xref ref-type="fig" rid="F5">Figure 5D</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussions</title>
<sec id="s4-1">
<title>Multi-scale fracture classification and its contribution to reservoir</title>
<p>Multi-scale fracture development description shows that fracture size is negatively correlated with fracture development degree (<xref ref-type="fig" rid="F5">Figure 5B</xref>). Investigations on multi-scale fractures from outcrops, cores, thin-sections, <italic>etc.</italic>, show that length and aperture are generally distributed at power-law pattern (<xref ref-type="bibr" rid="B4">Fu et al., 2007</xref>; <xref ref-type="bibr" rid="B12">Gong et al., 2012</xref>), while specific parameters of power law distribution vary with fracture size and development degree (<xref ref-type="bibr" rid="B1">Bonnet et al., 2001</xref>; <xref ref-type="bibr" rid="B26">Maerten et al., 2006</xref>; <xref ref-type="bibr" rid="B27">Ortega et al., 2006</xref>; <xref ref-type="bibr" rid="B21">Li et al., 2012</xref>; <xref ref-type="bibr" rid="B29">Strijker et al., 2012</xref>; <xref ref-type="bibr" rid="B17">Johri et al., 2014</xref>; <xref ref-type="bibr" rid="B6">Gong et al., 2018</xref>; <xref ref-type="bibr" rid="B28">Pan et al., 2019</xref>; <xref ref-type="bibr" rid="B8">Gong et al., 2021</xref>; <xref ref-type="bibr" rid="B43">Zhu et al., 2021</xref>; <xref ref-type="bibr" rid="B19">Li et al., 2022b</xref>; <xref ref-type="bibr" rid="B44">Zhu et al., 2022</xref>). 3D geological modeling of multi-scale fractures can be performed based on the power law pattern of multi-scale fractures (<xref ref-type="bibr" rid="B38">Zeng et al., 2020</xref>; <xref ref-type="bibr" rid="B25">Lyu et al., 2021</xref>; <xref ref-type="bibr" rid="B39">Zeng et al., 2022b</xref>). The power law distribution of fractures with different scales (apertures) was studied in this study, based on which, structure models of fracture networks were established to classify fracture scales and analyze contribution of multi-scale fractures to storage capacity and their roles in oil field development.</p>
<p>Power-law distribution of (<xref ref-type="fig" rid="F8">Figure 8B</xref>) multi-scale fractures in weathering zone is established based on their areal density distribution (<xref ref-type="fig" rid="F8">Figure 8A</xref>), which can be used to determine certain fracture development intensity (the lateral axis represents fracture scale (aperture), and the vertical axis represents development intensity of fractures with size larger than certain value). Meanwhile, porosity and permeability distribution models were established for fractures with various scales (<xref ref-type="fig" rid="F9">Figures 9</xref>, <xref ref-type="fig" rid="F10">10</xref>). <xref ref-type="fig" rid="F9">Figures 9</xref>, <xref ref-type="fig" rid="F10">10</xref> show that storage capacity of fractures varies greatly with their scales. Consequently, natural fracture system in the study area can be divided into two types and four sub-types based on identify methods, fracture scales and their contributions to reservoirs. Specifically, the two types are macro fractures and micro fractures, and the four sub-types are fractures of image log scale, fractures of core scale, fractures of thin-section scale, and fractures of SEM scale (<xref ref-type="fig" rid="F8">Figure 8C</xref> and <xref ref-type="table" rid="T1">Table 1</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Density distribution of multi-scale fractures. <bold>(A)</bold> Density distribution of multi-scale fractures from statistical data. Density of certain fracture follows lognormal distribution. <bold>(B)</bold> Power-law distribution of fracture density based on multi-scale fractures. <bold>(C)</bold> Power-law distribution model of fractures and fracture classification in the study area.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Porosity of fractures with multiple scales at BZ 19&#x2013;6 metamorphic rock reservoir. <bold>(A)</bold> Contribution of fractures with different apertures to porosity. <bold>(B)</bold> Contribution of fractures of different scales to porosity.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g009.tif"/>
</fig>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Permeability of fractures with multiple scales at BZ 19&#x2013;6 metamorphic rock reservoir. <bold>(A)</bold> Contribution of fractures with different apertures to permeability. <bold>(B)</bold> Contribution of fractures of different scales to permeability.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g010.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Fracture types at BZ 19&#x2013;6 metamorphic rock reservoir and its contribution to reservoir property.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Fracture types</th>
<th align="center">Density (m/m<sup>2</sup>)</th>
<th align="center">Aperture (&#x3bc;m)</th>
<th align="center">Connectivity</th>
<th align="center">Porosity (%)</th>
<th align="center">Permeability (mD)</th>
<th align="center">Contribution</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Macrofracture</td>
<td align="center">Image log</td>
<td align="center">1&#x2013;10</td>
<td align="center">&#x3e;100</td>
<td align="center">Well</td>
<td align="center">0.1&#x2013;0.2</td>
<td align="center">2&#x2013;20</td>
<td align="center">seepage channel</td>
</tr>
<tr>
<td align="center">Core</td>
<td align="center">10&#x2013;50</td>
<td align="center">40&#x2013;100</td>
<td align="center">Well</td>
<td align="center">0.2&#x2013;0.5</td>
<td align="center">0.2&#x2013;2</td>
<td align="center">seepage channel and storage space</td>
</tr>
<tr>
<td rowspan="2" align="left">Microfracture</td>
<td align="center">Thin section</td>
<td align="center">50&#x2013;300</td>
<td align="center">10&#x2013;40</td>
<td align="center">Moderate-well</td>
<td align="center">0.5&#x2013;1</td>
<td align="center">0.02&#x2013;0.2</td>
<td align="center">storage space and connect pores</td>
</tr>
<tr>
<td align="center">SEM</td>
<td align="center">300&#x2013;5,000</td>
<td align="center">1&#x2013;10</td>
<td align="center">Poor-moderate</td>
<td align="center">1&#x2013;2</td>
<td align="center">&#x3c;0.02</td>
<td align="center">storage space</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Fractures of image log scale are defined as those can be identified on image logs with aperture &#x3e;100&#xa0;&#x3bc;m. Their density at the weathering zone is mainly 1&#x2013;10&#xa0;m/m<sup>2</sup>, contributing 0.1%&#x2013;0.2% to porosity and 2&#x2013;20&#xa0;mD to permeability. They are well connected as primary seepage channels, which contributes greatly to high production at early development stage.</p>
<p>Fractures of core-scale can be directly observed with eye from cores, with apertures of 40&#x2013;100&#xa0;&#x3bc;m. Their density at the weathering zone of the study area is mainly 10&#x2013;50&#xa0;m/m<sup>2</sup>, which can increase porosity by 0.2%&#x2013;0.5% and increase permeability by 0.2&#x2013;2&#xa0;mD. They are not only well connected, but also can provide storage space. Therefore, they are both important seepage channels and storage spaces, which is important for stable production at early development.</p>
<p>Fractures of thin-section scale are those can only be observed under optical microscope, commonly intergranular fracture with an aperture of 10&#x2013;40&#xa0;&#x3bc;m. Their density is mainly 50&#x2013;300&#xa0;m/m<sup>2</sup>, which can provide porosity of 0.5%&#x2013;1.0% and permeability of 0.02&#x2013;0.2&#xa0;mD. These fractures can both increase porosity and connect matrix pores and micro fractures, which plays an important role in stable production at middle development period.</p>
<p>Fractures of SEM scale are those can only be observed under scanning electron microscope, which are typical intergranular fractures and grain-edge fractures with aperture of 1&#x2013;10&#xa0;&#x3bc;m. They are mainly developed within mineral grains. Their density at the weathering zone is about 300&#x2013;5,000&#xa0;m/m<sup>2</sup>, whose porosity is about 1.0%&#x2013;2.0% with permeability &#x3c;0.02&#xa0;mD. Although they are small in scale and aperture, high density can increase porosity greatly, enabling them to be reservoirs. They can provide recoverable reserves at later development stage, depending greatly on their connectivity with fractures of thin-section scale.</p>
</sec>
<sec id="s4-2">
<title>Structure models of multi-scale fracture network</title>
<p>Exploration activities show that well productivity or reserves is not only related to reservoir quality and fracture density, but also comprehensively controlled by factors, e.g., fracture sets, fracture scale (length), fracture connectivity, and multi-scale fracture configuration, <italic>etc.</italic>, since sometimes high and stable production cannot be obtained from reservoirs with high porosity. Therefore, five fracture configurations and network structures were constructed based on fracture density, fracture sets, fracture scale as well as fault distribution: multi-scale fracture network with high-density and multi-sets, large-scale fracture network with medium-density and multi-sets, small-scale fracture network with high-density and multi-sets, large-scale fracture network with low-density and multi-sets, and small-scale fracture network with low-density and single-set.</p>
<p>The multi-scale fracture networks with high-density and multi-sets are mainly developed at structures with multi-stage active faults and long-term active faults (in parallel or intersected pattern) (<xref ref-type="fig" rid="F11">Figure 11</xref>). This fracture network pattern can develop multi-scale fractures (i.e., large faults, small faults, marco-fractures and micro-fractures) with high fracture density and good connectivity. The small faults with large apertures and length of hundreds meters to kilometers of meters can effectively communicate multi-scale fracture systems and further connect with matrix pore system, thus forming large-scale and well-connected reservoirs. High and stable oil and gas production can be obtained from this kind of fracture systems.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Schematic diagram of multi-scale fracture network with high-density and multi-sets.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g011.tif"/>
</fig>
<p>The large-scale fracture networks with medium-density and multi-sets are mainly developed at the middle and lower part of weathering zone, where many faults are developed at single stage (in parallel or intersected pattern) (<xref ref-type="fig" rid="F12">Figure 12</xref>). They are dominated by large-scale structural fractures, followed by a small group of weathering fractures. However, they are well-connected to form continuous and well-connected reservoirs.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Schematic diagram of large-scale fracture network with medium-density and multi-sets.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g012.tif"/>
</fig>
<p>The small-scale fracture networks with high-density and multi-sets are commonly have high fracture density. However, small aperture and length as well as poor connectivity make it difficult to form widely-connected reservoirs (<xref ref-type="fig" rid="F13">Figure 13</xref>). They are mainly developed at the upper part of weathering zone and strata with altered brittleness and ductility. High oil and gas production can be obtained from it at initial stage, where fracturing is required to improve and stable long-term oil and gas production.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Schematic diagram of small-scale fracture network with high-density and multi-sets.</p>
</caption>
<graphic xlink:href="feart-10-1108032-g013.tif"/>
</fig>
<p>The large-scale fracture networks with low-density and multi-sets are mainly developed in the inner zone, with large structural fractures, low fracture density and fair connectivity. Fractures are commonly well developed at the edge of the faults and brittle strata, where industrial oil and gas flow can also be obtained. Small-scale fracture network with low-density and single-set is mainly developed at basements with poor connectivity, which is generally not regarded as reservoir.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>Multi-scale fracture systems were developed at the Bozhong 19&#x2013;6 metamorphic rock reservoir, where system parameters vary regularly with fracture scales. Macro fractures with large length and aperture can contribute greatly to reservoir permeability (2-20&#xa0;mD), however, their low density can only provide limited porosity (0.1%&#x2013;0.2%) to reservoirs. The micro fractures with high density are important reservoirs with porosity of 1%&#x2013;2%. However, small aperture and length can only communicate matrix pores, contributing minor to reservoir permeability (&#x3c;0.02&#xa0;mD). Density of single-scale fractures follows lognormal distribution pattern, while multi-scale fractures follow power-law distribution pattern. Hence, fracture density of certain scale can be accurately predicted with the power-law distribution.</p>
<p>Five structure models of fracture networks are established based on fracture development at different structures of the buried hills. The multi-scale fracture networks with high-density and multi-sets are mainly developed at structures with multi-stage faults and long-term faults. They can form widely-distributed reservoirs with good connectivity, contributing to high and stable oil and gas production. The small-scale fracture networks with high-density and multi-sets are developed at the upper part of weathering zone. However, small aperture and length as well as poor connectivity limits the development of widely-connected reservoirs, where fracturing is required to stable long-term oil and gas production. The large-scale fracture networks with medium-density and multi-sets are mainly developed at the inner zone, mainly composed of large-scale structural fractures, with low density and fair connectivity. Industrial oil and gas flow can also be obtained from this network <italic>via</italic> fracturing. The small-scale fracture networks with low-density and single-set are mainly developed at basements with poor connectivity, which is generally not regarded as reservoir.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>Conceptualization, HF and TN; Data curation, LM and XS; Formal analysis, JL; Investigation, TF; Methodology, LG; Writing&#x2014;review &#x26; editing, LG, YS, and XS.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study is financially supported by National Natural Science Foundation of China (Grant No. 42072155), Natural Science Foundation of Heilongjiang Province (Grant No. YQ 2022D006), Young Innovative Talents Training Program for Universities in Heilongjiang Province (grant no. UNPYSCT-2020147) and Postdoctoral Research Foundation of Heilongjiang Province (Grant No. LBH-Q21001).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors LM, HF, TF, TN, and JL were employed by CNOOC Research Institute Ltd, China.</p>
<p>The remaining 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="disclaimer" id="s10">
<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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