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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">832969</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2022.832969</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Reservoir properties and CO<sub>2</sub> storage capacity of the Rose Run Sandstone (Lower Ordovician, Knox Group) in the Central Appalachian Basin, northeast Kentucky</article-title>
<alt-title alt-title-type="left-running-head">Bowersox 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/fenrg.2022.832969">10.3389/fenrg.2022.832969</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Bowersox</surname>
<given-names>J. Richard</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1592618/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Greb</surname>
<given-names>Stephen F.</given-names>
</name>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Harris</surname>
<given-names>David C.</given-names>
</name>
</contrib>
</contrib-group>
<aff>
<institution>Kentucky Geological Survey</institution>, <institution>228 Mining and Mineral Resources Building</institution>, <institution>University of Kentucky</institution>, <addr-line>Lexington</addr-line>, <addr-line>KY</addr-line>, <country>United States</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/1179280/overview">Priyank Jaiswal</ext-link>, Oklahoma State University, United States</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/792307/overview">Ning Wei</ext-link>, Institute of Rock and Soil Mechanicss (CAS), China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1293188/overview">Bastien Dupuy</ext-link>, Sintef Industry, Norway</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1293561/overview">Jack Pashin</ext-link>, Oklahoma State University, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: J. Richard Bowersox, <email>j.r.bowersox@uky.edu</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors share first authorship</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Carbon Capture, Utilization and Storage, a section of the journal Frontiers in Energy Research</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>832969</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>08</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Bowersox, Greb and Harris.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Bowersox, Greb and Harris</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 Lower Ordovician Rose Run Sandstone is a potential CO<sub>2</sub> storage reservoir in the Central Appalachian Basin in northeast Kentucky where the Kentucky Geological Survey&#x2019;s 1 Hanson Aggregates research well penetrated it at drill depths of 1,000&#x2013;1,009.5&#xa0;m. Average Rose Run porosity and permeability from core plugs are 9.1% and 44.6&#xa0;mD, respectively. <italic>In situ</italic> reservoir properties were determined by step-rate testing an 18.6-m interval bracketing the Rose Run. Pressure derivative analysis of wellbore falloff pressure suggests that the Rose Run shares properties of both dual-porosity and dual-permeability reservoirs, consistent with its mixed lithologies. The Rose Run pore pressure was 9.3&#xa0;MPa/km, 1.1&#xa0;MPa/km underpressured compared to the expected hydrostatic gradient of 10.4&#xa0;MPa/km. Average porosity of the Rose Run, at the industry-standard 7% porosity cutoff for assessing CO<sub>2</sub> storage capacity, calculated from 27 wells in the surrounding region, was 11.6% and the average net reservoir thickness was 6.2&#xa0;m. Geomechanical properties of the overlying Beekmantown Dolomite show that it would act as a reservoir confining interval during CO<sub>2</sub> injection. The estimated P<sub>50</sub> supercritical CO<sub>2</sub> storage volume is 77.2&#xa0;kt/km<sup>2</sup>, yielding P<sub>50</sub> storage capacity of 165.7&#xa0;Mt in the region. By itself, an average surface area of 12.9&#xa0;km<sup>2</sup> would be required to store 1&#xa0;Mt of supercritical CO<sub>2</sub> in the Rose Run, thus lacking the volume to act as a stand-alone CO<sub>2</sub> storage reservoir in this area. It could contribute to a stacked-reservoir storage project developed in the larger Knox section, however. CO<sub>2</sub>&#x2013;brine relative permeability tests suggest that nearly half of any supercritical CO<sub>2</sub> injected into the Rose Run would be residually trapped, and another portion would be trapped by mineral precipitation. The Rose Run in the KGS 1 Hanson Aggregates well is very close to the subsurface CO<sub>2</sub> critical depth in the northeast Kentucky region and lacks an updip reservoir trap. How far and fast the mobile CO<sub>2</sub> migration might occur at this site remains for future research and reservoir modeling.</p>
</abstract>
<kwd-group>
<kwd>Rose Run Sandstone</kwd>
<kwd>step-rate test</kwd>
<kwd>CO<sub>2</sub> storage</kwd>
<kwd>Knox Group</kwd>
<kwd>Appalachian Basin</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction and previous work</title>
<p>The Kentucky Geological Survey (KGS) operated and drilled the 1 Hanson Aggregates stratigraphic research well to assess the subsurface CO<sub>2</sub> storage capacity in deep saline reservoirs of the Middle Cambrian&#x2013;Lower Ordovician Knox Group and underlying strata in the Central Appalachian Basin in eastern Kentucky (<xref ref-type="bibr" rid="B6">Bowersox et al., 2013</xref>; <xref ref-type="bibr" rid="B6">Bowersox et al., 2013</xref>; <xref ref-type="bibr" rid="B8">Bowersox et al., 2017</xref>; <xref ref-type="bibr" rid="B23">Greb et al., 2017</xref>; <xref ref-type="bibr" rid="B7">Bowersox et al., 2018</xref>). All depths in the well were measured from the drilling rig kelly bushing (KB) which was 227.5&#xa0;m above the sea level (2&#xa0;m above the ground-level elevation of 225.5&#xa0;m). It was drilled in northern Carter County, Kentucky, United States (<xref ref-type="fig" rid="F1">Figure 1</xref>), at a location where all potential reservoir and confining strata and Precambrian basement could be penetrated at a total well depth (TD) less than 1,525&#xa0;m below the surface (<xref ref-type="bibr" rid="B6">Bowersox et al., 2013</xref>; <xref ref-type="bibr" rid="B8">Bowersox et al., 2017</xref>; <xref ref-type="bibr" rid="B7">Bowersox et al., 2018</xref>). The 1 Hanson Aggregates well reached a TD of 1,474&#xa0;m in Precambrian Grenville gneiss and successfully tested reservoir and <italic>in situ</italic> rock properties in both the Knox and underlying Middle Cambrian strata (<xref ref-type="bibr" rid="B8">Bowersox et al., 2017</xref>, <xref ref-type="bibr" rid="B7">Bowersox et al., 2018</xref>, <xref ref-type="bibr" rid="B9">Bowersox et al., 2019a</xref>; <xref ref-type="bibr" rid="B10">Bowersox et al., 2019b</xref>; <xref ref-type="bibr" rid="B23">Greb et al., 2017</xref>; <xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of the KGS 1 Hanson Aggregates well, northern Carter County, Kentucky. The study area is outlined by the gray box. Wells of interest identified by numbered red circles: 1, KGS 1 Hanson Aggregates well, Carter County, Kentucky; 2, Battelle 1 AEP well, Mason County, West Virginia; and 3, Ohio 1 CO<sub>2</sub> well, Tuscarawas County, Ohio. The KGS 1 Hanson Aggregates well location was chosen northwest of the Kentucky River Fault Zone (KRFZ) and Rome Trough where the entire Ordovician to Precambrian basement section could be penetrated at a drill depth less than 1,525&#xa0;m. LFZ, Lexington Fault Zone; IPCFZ, Irvine-Paint Creek Fault Zone; RRFZ, Rockcastle River Fault Zone; LD, Lexington Dome; CA, Cincinnati Arch; WA, Waverly Arch. Modified from <xref ref-type="bibr" rid="B7">Bowersox et al. (2018)</xref>.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Correlated nuclear logs and lithostratigraphy of the Knox Group and deeper strata in the KGS 1 Hanson Aggregates well. Cored intervals are shown in the depth track and test intervals are posted. Log curves shown are the gamma-ray (curve 1, left track), wellbore caliper (curve 2, left track), neutron porosity (curve 3, right track), formation density (curve 4, right track), and density porosity (curve 5 right track). Modified from <xref ref-type="bibr" rid="B9">Bowersox et al. (2019a)</xref>.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g002.tif"/>
</fig>
<p>The focus of this report is the Rose Run Sandstone formation of the Knox Group, an important reservoir for oil and gas production and liquid waste disposal in the U.S. Midcontinent (<xref ref-type="bibr" rid="B43">Rike, 1992</xref>; <xref ref-type="bibr" rid="B44">Riley, 1992</xref>; <xref ref-type="bibr" rid="B46">Riley, 1994</xref>; <xref ref-type="bibr" rid="B4">Battelle Memorial Institute, 2015</xref>) and candidate deep saline reservoir for CO<sub>2</sub> storage. Previous tests of the Rose Run&#x2019;s capacity for storing CO<sub>2</sub> were conducted in the Battelle Memorial Institute (Battelle) 1 American Electric Power (AEP) well at the Mountaineer Power Plant on the Ohio River at New Haven, West Virginia (<xref ref-type="bibr" rid="B29">Gupta et al., 2006</xref>; <xref ref-type="bibr" rid="B37">Lucier et al., 2006</xref>; <xref ref-type="bibr" rid="B30">Gupta, 2008a</xref>; <xref ref-type="bibr" rid="B28">Gupta, 2008b</xref>; <xref ref-type="bibr" rid="B36">Lucier and Zoback, 2008</xref>), 118&#xa0;km northeast of the 1 Hanson Aggregates (<xref ref-type="fig" rid="F1">Figure 1</xref>, location 2), and in the Ohio Division of Geological Survey CO<sub>2</sub> No. 1 well near Port Washington, Tuscarawas County, Ohio (<xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>), about 250&#xa0;km northwest of the KGS 1 Hanson Aggregates well (<xref ref-type="fig" rid="F1">Figure 1</xref>, location 3; <xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Subsurface structural contours on top of the Rose Run Sandstone show gentle dip to the east (&#x2212;0.8&#xb0;) in the region northwest of the Kentucky River Fault Zone. Wells shown on this and subsequent maps are those reaching the Precambrian basement. The evaluation region is outlined by the dashed green line, and the updip limit of potential supercritical CO<sub>2</sub> storage is shown by the dashed green contour at -714 m subsea elevation. Contour interval is 200 m.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g003.tif"/>
</fig>
<p>This study reports the results of tests and analyses of the Rose Run reservoir properties conducted in the KGS 1 Hanson Aggregates well. We provide an estimate of the CO<sub>2</sub> storage capacity of the Rose Run in the KGS 1 Hanson Aggregates well and the surrounding region that contributes to the evaluation of subsurface CO<sub>2</sub> storage along the Ohio River industrial corridor (<xref ref-type="bibr" rid="B29">Gupta et al., 2006</xref>; <xref ref-type="bibr" rid="B37">Lucier et al., 2006</xref>; <xref ref-type="bibr" rid="B30">Gupta, 2008a</xref>; <xref ref-type="bibr" rid="B28">Gupta, 2008b</xref>), although there are no plans for its development in foreseeable future.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and methods</title>
<p>KGS collected a robust dataset of geophysical log data and conventional whole core and rotary sidewall core analyses from the KGS 1 Hanson Aggregates well (discussed in detail in <xref ref-type="bibr" rid="B7">Bowersox et al., 2018</xref>) to conduct this evaluation of the Rose Run. The Rose Run was a primary zone of interest in the KGS 1 Hanson Aggregates well for testing reservoir properties and estimating CO<sub>2</sub> storage capacity. This study reviews the reservoir properties of the Rose Run interpreted from geophysical electric and nuclear logs (electric logs or logs), formation imaging logs, analyses of conventional whole-diameter cores (<xref ref-type="fig" rid="F2">Figure 2</xref>, Test 3) and rotary sidewall cores, and <italic>in situ</italic> reservoir properties determined from step-rate testing to estimate its CO<sub>2</sub> storage capacity in northeast Kentucky. All geophysical logs used in this evaluation, as well as core photographs, are available free to the public through KGS&#x2019;s Oil and Gas Records Database at <ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://kgs.uky.edu/kygeode/services/oilgas/">https://kgs.uky.edu/kygeode/services/oilgas/</ext-link>, KGS Record Number 143577. Core analyses are available on request from the KGS at <ext-link ext-link-type="uri" xlink:href="https://www.uky.edu/KGS/aboutKGS/contact.php">Contact Kentucky Geological Survey, University of Kentucky (uky.edu</ext-link>).</p>
<sec id="s2-1">
<title>Conventional whole core and rotary sidewall core data</title>
<p>An 8.9-cm core was cut and recovered from the Rose Run in the 1 Hanson Aggregates from 1,006&#xa0;m through its base at 1,010&#xa0;m, then to 1,024&#xa0;m in the underlying Copper Ridge Dolomite (<xref ref-type="fig" rid="F2">Figure 2</xref>, Core 3). Above the core, sampling of the Rose Run was supplemented with 12 rotary sidewall cores. Unless otherwise noted, core analyses were performed by Core Laboratories, Houston, Texas. These analyses of core plugs and sidewall cores included routine porosity and permeability for nine core plugs and one sidewall core; thin section petrography and X-ray diffraction mineralogy (XRD), and CO<sub>2</sub>-brine relative permeability of one core plug each. Geomechanical properties were measured in two rotary sidewall cores from the Beekmantown and one from the Rose Run. Mercury-injection capillary pressure (MICP) test data of one core plug from 1,009.3&#xa0;m were provided by the Indiana Geological Survey and Water Survey, and geomechanical analysis of a core plug from the same depth was provided by Battelle.</p>
</sec>
<sec id="s2-2">
<title>Software used in this study</title>
<p>All software packages used during this study are commercial releases, although not necessarily the most recent versions. Figures not otherwise attributed to specific software packages, including annotations and colored fills (<xref ref-type="fig" rid="F1">Figures 1</xref>&#x2013;<xref ref-type="fig" rid="F3">3</xref>), were constructed using CorelDRAW X7, Version 17.6.0.1021. All figures including logs (<xref ref-type="fig" rid="F2">Figure 2</xref>), contour maps (<xref ref-type="fig" rid="F3">Figure 3</xref>), and cross sections (<xref ref-type="fig" rid="F4">Figure 4</xref>) were initially constructed using PETRA, Version 3.8.3, with corrections, annotations, and labels, and graphic fills added in CorelDRAW X7. Formation porosity calculated from the density log, geomechanical properties, wellbore pressure profiles, and Rose Run CO<sub>2</sub> storage capacity were modeled using Quattro Pro X5, Version 15.0.0.528. Graphs presented in this study were constructed using Delta Graph 7, Version 7.5.0, with annotations and fills added using CorelDRAW.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Stratigraphic cross section A&#x2013;A&#x2032; of the Knox Group oriented approximately southeast&#x2013;northeast. Datum is the base of the Rose Run. The Rose Run thins into central and southwest Carter County, and then thickens into Rowan County (<xref ref-type="fig" rid="F5">Figure 5</xref>). RN is the KGS record number and API is the well API number.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s3">
<title>Rose Run geology</title>
<p>The geology of the Rose Run Sandstone in the northeast Kentucky study area and adjacent Ohio and West Virginia is summarized from <xref ref-type="bibr" rid="B11">Bowersox et al. (2021)</xref>. The Rose Run lies near the Cambrian&#x2013;Ordovician boundary throughout much of the Central Appalachian Basin in the study area. The KGS 1 Hanson Aggregates well lies on the eastern flank of the Waverly Arch (<xref ref-type="bibr" rid="B62">Woodward, 1961</xref>; <xref ref-type="bibr" rid="B19">Ettensohn, 1980</xref>; <xref ref-type="fig" rid="F1">Figure 1</xref>), a low-relief forebulge of the Appalachian foreland basin associated with the Taconic Orogeny (<xref ref-type="bibr" rid="B48">Root and Onasch, 1999</xref>). In the mapped study area (<xref ref-type="fig" rid="F3">Figure 3</xref>), the Rose Run is near-horizontal, occurring as a single sand body overlying the Copper Ridge (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F4">4</xref>), that thins south of the KGS 1 Hanson Aggregates (<xref ref-type="fig" rid="F4">Figures 4</xref>, <xref ref-type="fig" rid="F5">5</xref>). Well cuttings, rotary sidewall cores, and whole cores from the Rose Run in the KGS 1 Hanson Aggregates well showed it to be a white to green&#x2013;gray, fine-to medium-grained sandstone with subrounded to rounded grains and dolomitic cement (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). North of the study area, in the Battelle 1 AEP well and in the Ohio Division of Geological Survey CO<sub>2</sub> No. 1 well (<xref ref-type="fig" rid="F1">Figure 1</xref>); the Rose Run occurs as thin sands interbedded with dolomite (<xref ref-type="fig" rid="F6">Figure 6</xref>), whereas in central Ohio along the Waverly Arch (<xref ref-type="fig" rid="F1">Figure 1</xref>); the Rose Run may consist of as many as four distinct sandstones with significant porosity and permeability (<xref ref-type="bibr" rid="B44">Riley, 1992</xref>; <xref ref-type="bibr" rid="B45">Riley et al., 1993</xref>; <xref ref-type="bibr" rid="B47">Riley et al., 2002</xref>) separated by dolomites (<xref ref-type="bibr" rid="B47">Riley et al., 2002</xref>; <xref ref-type="bibr" rid="B61">Wickstrom et al., 2005</xref>; <xref ref-type="bibr" rid="B27">Gupta, 2006</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Isopach thickness of the Rose Run. In general, the Rose Run thickens and becomes more dolomitic to the southwest. Contour interval is 2&#xa0;m.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Comparison of the Rose Run sections in the KGS 1 Hanson Aggregates well, Battelle 1 AEP well, and Ohio CO<sub>2</sub> No. 1 well (<xref ref-type="fig" rid="F1">Figure 1</xref>). Depths are meters below the rig kelly bushing. The Rose Run section thickens to the northeast where thick, porous sand beds (yellow fill) are separated by a middle section of thin, low-porosity sand and dolomite beds. Log curves shown are the gamma-ray (curve 1, left track), PE curve (curve 2, right track), neutron porosity (curve 3right track), formation density (curve 4, right track), and density porosity (curve 5, right track). Dashed line A is a 7% porosity (yellow fill) cutoff, and D is the dolomitic section in the downdip Rose Run wells.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g006.tif"/>
</fig>
</sec>
<sec id="s4">
<title>Reservoir properties and analysis</title>
<p>The 9.8&#xa0;m-thick section of Rose Run was penetrated in the KGS 1 Hanson Aggregates well at drilled depths of 1,000&#xa0;m&#x2013;1,009.8&#xa0;m&#xa0;kB and was cored at depths from 1,005.8&#xa0;m to its base at 1,009.8&#xa0;m (<xref ref-type="fig" rid="F2">Figure 2</xref>). The cored section was consisted of thin-bedded dolomitic quartz arenite with thin clay beds near the base. XRD analysis of a core plug near the base of the Rose Run at 1,008.1&#xa0;m found 71.1% quartz, 20.9% dolomite, and a total of 7.5% potassium feldspar, illite/smectite clays, and mica. Dolomite volume in the Rose Run section was determined from a crossplot of formation bulk density and photoelectric factor from the density log (<xref ref-type="bibr" rid="B49">Schlumberger, 1987</xref>) normalized to the mineralogy from the XRD analysis (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). The average dolomite volume in the Rose Run above 1,006&#xa0;m (3,300.5&#xa0;ft) drilled depth was 6.8%, whereas the average dolomite volume below 1,006&#xa0;m averaged 15.3% (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). Porosity of the Rose Run was calculated from the formation density log (<xref ref-type="bibr" rid="B3">Alger et al., 1963</xref>; <xref ref-type="bibr" rid="B50">Schlumberger, 1972</xref>). The matrix density of the Rose Run was most affected by the dolomite content, and averaged 2.67&#xa0;g/cm<sup>3</sup> (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). The formation fluid density of 1.06&#xa0;g/cm<sup>3</sup> was determined from a water sample collected from the Rose Run before the step-rate test (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). Porosity calculated in the Rose Run averaged 11.2% in the KGS 1 Hanson Aggregates well (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). At the industry-standard 7% porosity cutoff used for evaluating CO<sub>2</sub> storage reservoirs (<xref ref-type="bibr" rid="B39">Medina et al., 2011</xref>), the average Rose Run porosity in the 1 Hanson Aggregates was 12.3% and the net reservoir thickness was 8.5&#xa0;m. In the mapped 2,146&#xa0;km<sup>2</sup> evaluation region (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F5">5</xref>), the average porosity was 11.4% in 23 wells and average net reservoir thickness was 6.2&#xa0;m.</p>
<sec id="s4-1">
<title>Regional porosity and permeability in the Rose Run</title>
<p>Porosity and permeability measured in 108 core plugs from the Rose Run in wells in Kentucky, Ohio, and West Virginia (<xref ref-type="fig" rid="F7">Figure 7</xref>) were compiled for assessing reservoir porosity and permeability in the evaluation region around the KGS 1 Hanson Aggregates well. Median porosity measured in the Rose Run core plugs was 13.4% and median permeability is 57.6 mD (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>) and ranged from &#x3e;20% in the KGS 1 Hanson Aggregates well to &#x3c;1% in the Hope Natural Gas 9,634 Power Oil well in Wood County, West Virginia (<xref ref-type="fig" rid="F7">Figure 7</xref>). Generally, porosity and permeability in the Rose Run decrease with depth (<xref ref-type="bibr" rid="B4">Battelle Memorial Institute, 2015</xref>; <xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>, <xref ref-type="fig" rid="F6">Figure 6</xref>) suggesting compaction as the cause. Porosity measurements and core descriptions from 17 wells drilled in Kentucky, Ohio, and West Virginia suggest that porosity reduction in cores from the Rose Run recovered from drilled depths shallower than 1750&#xa0;m (5,740&#xa0;ft) appears to have been co-dominated by compaction and diagenesis, whereas deeper than 1750&#xa0;m (5,740&#xa0;ft) drilled depth porosity-occluding diagenesis appears to have dominated porosity reduction in the Rose Run (<xref ref-type="bibr" rid="B33">Heald and Baker, 1977</xref>; <xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>, <xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Comparison of porosity and permeability of core plugs from the Rose Run in selected wells in Kentucky, West Virginia, and Ohio. Porosity and permeability generally fall in the range for potential CO<sub>2</sub> storage where porosity is greater than 7%, the industry-standard cutoff for CO<sub>2</sub> storage (<xref ref-type="bibr" rid="B39">Medina et al., 2011</xref>), and 1 mD permeability. Sources: Ferguson and Bosworth 1 Wright well, KGS Oil and Gas Database, Record Number 2210; KGS 1 Hanson Aggregates well, KGS Oil and Gas Database, Record Number 143577; Nu Corp Energy 1 Trepanier well, McNealey (1991); Ohio 1 CO<sub>2</sub> well, <xref ref-type="bibr" rid="B59">Wickstrom et al. (2011)</xref>; Battelle 1 AEP well, Joel Sminchak, Battelle Memorial Institute, personal communication, 24 July 2019; Hope Natural Gas 9,634 Power Oil well, <xref ref-type="bibr" rid="B62">Woodward (1961)</xref>. Core plug locations for the Rose Run in the KGS 1 Hanson Aggregates well are shown in <xref ref-type="bibr" rid="B11">Bowersox et al. (2021</xref>, <xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g007.tif"/>
</fig>
<p>The Battelle 1 AEP well (<xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>) found 5.0&#xa0;m of net sandstone with porosity &#x3e;6%, averaging 9.0% porosity, but with permeabilities less than 70&#xa0;mD, encountered in the 25.0&#xa0;m-thick Rose Run section (this study) in the well (<xref ref-type="bibr" rid="B30">Gupta, 2008a</xref>; <xref ref-type="bibr" rid="B4">Battelle Memorial Institute, 2015</xref>). Likewise, 7.3&#xa0;m of the net Rose Run sandstone with porosity &#x3e;6%, averaging 8% porosity, and permeabilities less than 32 mD, were found in the 27.7&#xa0;m-thick Rose Run section (this study) in the Ohio No. 1 CO<sub>2</sub> well (<xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>; <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>). The Rose Run in both wells occurs in multiple thin beds less than 3.5&#xa0;m-thick, (<xref ref-type="fig" rid="F6">Figure 6</xref>), and neither well found reservoir properties in the Rose Run sufficient to support stand-alone CO<sub>2</sub> storage (see the discussion in <xref ref-type="bibr" rid="B9">Bowersox et al., 2019a</xref>).</p>
</sec>
<sec id="s4-2">
<title>Mercury-injection capillary pressure</title>
<p>Mercury-injection capillary pressure (MICP) analysis is widely used to model permeability in tight formations (<xref ref-type="bibr" rid="B16">Comisky et al., 2007</xref>) because laminar flow theory predicts a strong correlation between permeability and pore-throat distribution (<xref ref-type="bibr" rid="B12">Brown, 2015</xref>). As with any empirical relationship, there are multiple models for estimating permeability from MICP data, whose results can differ substantially (<xref ref-type="bibr" rid="B12">Brown, 2015</xref>). MICP data, however, are equally applicable for calibrating porosity logs (<xref ref-type="bibr" rid="B40">Olson and Grigg, 2008</xref>) and characterizing reservoir quality as well as identifying reservoir flow units (<xref ref-type="bibr" rid="B52">Sneider and Bolger, 2008</xref>). Because permeability in the Rose Run has been measured in core plugs throughout the Central and Northern Appalachian Basin (<xref ref-type="bibr" rid="B4">Battelle Memorial Institute, 2015</xref>), MICP was conducted in one core plug from 1,009.3&#xa0;m, near the base of the Rose Run to characterize pore diameter distribution for comparative flow modeling. Thin section petrography performed on the core plug (<xref ref-type="fig" rid="F8">Figure 8A</xref>) showed that intergranular, intraconstituent (from dissolution of feldspar grains), and oversize pores are the primary porosity types (<xref ref-type="bibr" rid="B33">Heald and Baker, 1977</xref>; <xref ref-type="bibr" rid="B47">Riley et al., 2002</xref>; <xref ref-type="bibr" rid="B61">Wickstrom et al., 2005</xref>) which were not occluded by silica overgrowths, pore-filling dolomite cement, and authigenic K-spar. MICP analysis (<xref ref-type="fig" rid="F8">Figures 8B,C</xref>) showed 75% of pore throats to be macro-to megapores suggesting that CO<sub>2</sub> injection may be possible at relatively lower pressures than strata whose porosity falls in the meso-to nanopore range (<xref ref-type="fig" rid="F8">Figure 8B</xref>). A plot of the pore-throat diameter versus the pore volume (<xref ref-type="fig" rid="F8">Figure 8C</xref>) suggests that the Rose Run in the KGS 1 Hanson Aggregates well would be capable of oil and gas production (<xref ref-type="bibr" rid="B52">Sneider and Bolger, 2008</xref>). In fact, a &#x3e;2900-unit gas kick, about 30-times the background gas in the wellbore, was encountered when the Rose Run was penetrated at &#x2212;1,000&#xa0;m drilled depth while drilling with air. The gas entry was stopped by filling the wellbore and circulating fresh water, demonstrating a limited-volume low-pressure (&#x3c;9.85&#xa0;MPa, fresh water hydrostatic pressure at 1,000&#xa0;m drill depth) gas inclusion. Reservoir pressures measured during step-rate testing found pore pressure of 9.3&#xa0;MPa/km, 1.1&#xa0;MPa/km underpressured compared to the expected hydrostatic gradient of 10.4&#xa0;MPa/km.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Thin section photomicrograph of a core plug from the Rose Run from 1,008.1&#xa0;m under plane polar light, and <bold>(B)</bold>, <bold>(C)</bold>, Mercury&#x2010;Injection Capillary Pressure (MICP) analysis of a core plug from 1,009.3&#xa0;m. Core plug locations for the Rose Run in the KGS 1 Hanson Aggregates well are shown in Bowersox et al. (2021, <xref ref-type="fig" rid="F5">Figure 5</xref>). <bold>(A).</bold> Mineral grains in the thin section are identified with capital letters (Q, quartz; Ks, potassium feldspar; D, dolomite). Subrounded to rounded quartz grains show silica and potassium feldspar overgrowths and pressure dissolution at grain boundaries. <bold>(B)</bold>. MICP was conducted for one core plug near the base of the Rose Run to characterize pore diameter distribution. The bulk of the pore diameters fall into the macro-to megapore range suggesting that supercritical CO<sub>2</sub> may be injected at relatively lower pressures than strata whose pores fall into the meso-to nanopore range. The median pore-throat radius was 9.04&#xa0;&#x3bc;m, well within the macropore range, and core plug permeability was 289&#xa0;mD. <bold>(C)</bold>. Most pore volume in the KGS 1 Hanson Aggregates well falls in range of 10&#x2013;100&#xa0;&#xb5;m. Pore-throat diameter versus pore volume suggests that the Rose Run in the KGS 1 Hanson Aggregates well, pores with throat diameters &#x3e;2&#xa0;&#xb5;m, would be capable of oil and gas production in a conventional hydrocarbon reservoir.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g008.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>Pressure falloff analysis</title>
<p>Following step-rate test completion, the pressure was monitored for about 12&#xa0;h, exhibiting a smooth falloff during the monitoring period (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>, <xref ref-type="fig" rid="F11">Figure 11</xref>). Pressure falloff was analyzed using the methodologies of <xref ref-type="bibr" rid="B38">Matthews and Russell (1967)</xref> and <xref ref-type="bibr" rid="B5">Bourdet et al. (1989)</xref> (<xref ref-type="fig" rid="F9">Figures 9A,B</xref>). The wellbore entered radial flow early during pressure falloff monitoring, about 0.5&#xa0;h after shut-in. The average permeability of the test interval was calculated as described in <xref ref-type="bibr" rid="B34">Horner (1951)</xref> and <xref ref-type="bibr" rid="B38">Matthews and Russell (1967)</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>162.6</mml:mn>
<mml:mi>q</mml:mi>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>q</italic> is the average injection rate of 5,728 barrels per day (911&#xa0;m<sup>3</sup>/d) during the test, &#x3b2; is the formation volume factor of the reservoir water (1.0 reservoir barrels per stock-tank barrel), &#x3bc; is the viscosity of the formation water (0.94 centipoise for 90,000&#xa0;mg/l water under reservoir conditions (<xref ref-type="bibr" rid="B38">Matthews and Russell, 1967</xref>), <italic>m</italic> is the slope of the semi-log plot of the pressure falloff curve during radial flow, 1.31&#xa0;MPa (190 psi) per cycle (<xref ref-type="fig" rid="F9">Figure 9A</xref>), and h is the test interval height (18.6&#xa0;m, 61&#xa0;ft). The average Rose Run test interval permeability calculated from pressure falloff data is 75.5&#xa0;mD (<xref ref-type="bibr" rid="B10">Bowersox et al., 2019b</xref>), nearly identical to the median air permeability of 70.0&#xa0;mD measured in nine core plugs and rotary sidewall cores from the Rose Run.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Pressure transient analysis of the step-rate test data. <bold>(A)</bold>. Log-log plot of bottomhole falloff pressure delta-p (dp) plotted against Agarwal dimensionless equivalent time (<xref ref-type="bibr" rid="B2">Agarwal, 1979</xref>, <xref ref-type="bibr" rid="B1">1980</xref>). The wellbore entered radial flow shortly after falloff pressure monitoring began, as shown in <xref ref-type="bibr" rid="B11">Bowersox et al. (2021</xref>, <xref ref-type="fig" rid="F11">Figure 11</xref>). Test interval permeability calculated from the pressure falloff data was 75.5&#xa0;mD with a &#x2212;3.59 skin factor indicative of wellbore flow enhancement by hydraulic fracturing, consistent with the step-rate test response. <bold>(B)</bold> Derivative pressure (dp/dt) plotted against Agarwal dimensionless equivalent time. Pressure-gauge data have been resampled at five-reading intervals to reduce noise in the data. The wellbore entered radial flow about 0.5&#xa0;h after shut-in. The pressure derivative curve suggests the Rose Run in the KGS 1 Hanson Aggregates well shares flow properties of both dual-porosity and dual-permeability reservoirs, consistent with the mixed sand&#x2013;dolomite lithologies in the test interval.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g009.tif"/>
</fig>
<p>The skin factor, a dimensionless variable, relates the pressure drop in a well predicted by Darcy&#x2019;s law to the dimensionless rate of flow (<xref ref-type="bibr" rid="B57">van Everdingen, 1953</xref>; <xref ref-type="bibr" rid="B38">Matthews and Russell, 1967</xref>):<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>141.2</mml:mn>
<mml:mi>q</mml:mi>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where s is the skin factor, &#x394;p<sub>skin</sub> is the pressure change from the skin factor, and the rest of the terms are from <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>. The skin factor in a wellbore will range from &#x2212;6 to 6 (<xref ref-type="bibr" rid="B31">Harstock and Warren, 1961</xref>; <xref ref-type="bibr" rid="B38">Matthews and Russell, 1967</xref>), where skin factor &#x3c; &#x2212;2 is indicative of wellbore flow enhancement by hydraulic fracturing (<xref ref-type="bibr" rid="B38">Matthews and Russell, 1967</xref>). The skin factor calculated from pressure falloff in the KGS 1 Hanson Aggregates well is &#x2212;3.59 (<xref ref-type="bibr" rid="B10">Bowersox et al., 2019b</xref>), confirming wellbore fracturing observed during the step-rate test.</p>
<p>A pressure derivative curve (<xref ref-type="bibr" rid="B5">Bourdet et al., 1989</xref>) was plotted against dimensionless equivalent time (<xref ref-type="bibr" rid="B2">Agarwal, 1979</xref>, <xref ref-type="bibr" rid="B1">1980</xref>) to help determine the wellbore storage period, transition to radial flow, and reservoir type (<xref ref-type="fig" rid="F9">Figure 9B</xref>). A comparison of the pressure derivative curve in <xref ref-type="fig" rid="F9">Figure 9B</xref> to type curves (<xref ref-type="bibr" rid="B18">Ehlig-Economides, 1988</xref>; <xref ref-type="bibr" rid="B5">Bourdet et al., 1989</xref>; <xref ref-type="bibr" rid="B17">Deruyck et al., 1992</xref>) suggests the Rose Run in the KGS 1 Hanson Aggregates well shares properties of both dual-porosity and dual-permeability reservoirs, consistent with the mixed lithologies in the test interval.</p>
</sec>
</sec>
<sec id="s5">
<title>Rose Run CO<sub>2</sub> storage capacity</title>
<p>The reservoir volume required to store a volume of supercritical CO<sub>2</sub> (hereinafter CO<sub>2</sub> or supercritical CO<sub>2</sub>, depending on context) in a deep saline reservoir requires five data points: reservoir height, porosity, temperature, pressure, and formation-water salinity. The CO<sub>2</sub> temperature/pressure phase-change boundaries (adapted from <xref ref-type="bibr" rid="B20">Freund et al. (2005</xref>)) at expected depths were estimated from bottomhole temperatures and pressures measured wells in the region surrounding the KGS 1 Hanson Aggregates well and the three step-rate tests in the well (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>). However, the depth to the CO<sub>2</sub> critical point for subsurface storage can usually be estimated from reservoir hydrostatic pressure and regional geothermal gradients, ubiquitous underpressured reservoirs in Kentucky (<xref ref-type="bibr" rid="B55">Takacs et al., 2010</xref>) and with the low geothermal gradient (see the discussion in <xref ref-type="bibr" rid="B6">Bowersox et al. (2013</xref>)) push the depth to the CO<sub>2</sub> critical point much deeper in the subsurface. The top of the Rose Run was penetrated in the KGS 1 Hanson Aggregates well at a depth of 1,000&#xa0;m (&#x2212;772&#xa0;m subsea elevation). The CO<sub>2</sub> critical pressure and temperature (7.39&#xa0;MPa, 1,072 psi; <xref ref-type="bibr" rid="B20">Freund et al., 2005</xref>) reached at a drill depth of 795&#xa0;m (&#x2212;567&#xa0;m subsea elevation) in the KGS 1 Hanson Aggregates well. The critical temperature, however (31.1; C; <xref ref-type="bibr" rid="B20">Freund et al., 2005</xref>), is not reached until a drill depth of 942&#xa0;m (&#x2212;714&#xa0;m subsea elevation), or 58&#xa0;m above the top of the Rose Run in the KGS 1 Hanson Aggregates well (<xref ref-type="fig" rid="F10">Figure 10</xref>). Thus, the depth required to reach the CO<sub>2</sub> critical point temperature limits the reservoir area available for CO<sub>2</sub> storage in the northeast Kentucky evaluation region.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Isopach thickness contours of the net Rose Run storage reservoir in the evaluation area at 7% porosity cutoff. Average net reservoir thickness in the 2145-km<sup>2</sup> area is 6.2&#xa0;m, and average porosity in the Rose Run reservoir &#x2265;7% is 11.6%.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g010.tif"/>
</fig>
<p>Average porosity and net reservoir thickness (h<sub>net</sub>) in the Rose Run in the 1 Hanson Aggregates well and 2,145&#xa0;km<sup>2</sup> (828 mi<sup>2</sup>) evaluation region (<xref ref-type="fig" rid="F10">Figure 10</xref>) were calculated using the industry-standard 7% porosity cutoff (<xref ref-type="bibr" rid="B39">Medina et al., 2011</xref>) to compute the CO<sub>2</sub> storage capacity. At the 7% porosity cutoff, average porosity in the evaluation region is 11.6% and h<sub>net</sub> is 6.2&#xa0;m (20&#xa0;ft). The density of supercritical CO<sub>2</sub> under Rose Run reservoir conditions of temperature and pressure is 768&#xa0;kg/m<sup>3</sup> (<xref ref-type="bibr" rid="B41">Peace Software, 2017</xref>). Supercritical CO<sub>2</sub> storage capacity in a deep saline reservoir was calculated using the methodology of <xref ref-type="bibr" rid="B21">Goodman et al. (2011)</xref>.<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where G<sub>CO2</sub> is the estimated supercritical CO<sub>2</sub> storage volume (kt/km<sup>2</sup>), A<sub>t</sub> is the surface area of the storage reservoir (km<sup>2</sup>), &#x3c6;<sub>T</sub> is the average regional reservoir porosity (fractional) at the 7% porosity cutoff, h<sub>g</sub> (m) is the average net reservoir thickness (<xref ref-type="fig" rid="F10">Figure 10</xref>), &#x3c1;<sub>CO2</sub> is the density of supercritical CO<sub>2</sub> under reservoir conditions of pressure and temperature (kg/m<sup>3</sup>), and E<sub>saline</sub> is the reservoir lithology-weighted CO<sub>2</sub> storage efficiency factor. The reservoir pore volume (&#x3c6;<sub>T</sub>h<sub>g</sub>) at the 7% porosity cutoff was calculated for 27 wells in the evaluation region, and then the total reservoir volume calculated in Petra.</p>
<p>Although the CO<sub>2</sub> storage efficiency factor accounts for unsuitable reservoir rock by lithology (<xref ref-type="bibr" rid="B21">Goodman et al., 2011</xref>), applying a 7% porosity cutoff ensures a conservative evaluation of storage capacity. The storage efficiency factor, in practice, is applied as a range of probable storage efficiencies which vary for different reservoir lithologies (<xref ref-type="bibr" rid="B56">U.S. Department of Energy, Office of Fossil Energy, National Energy Technology Laboratory, 2015</xref>). P<sub>10</sub> and P<sub>90</sub> values provide a nominal range of efficiency values defining the lower and upper bounds of plausible supercritical CO<sub>2</sub> storage volumes about a most-likely P<sub>50</sub> value. The estimated P<sub>50</sub> supercritical CO<sub>2</sub> storage volume for the Rose Run in the northeast Kentucky evaluation region (<xref ref-type="fig" rid="F10">Figure 10</xref>) is 77.2&#xa0;kt/km<sup>2</sup> (220,000 short tons/mi<sup>2</sup>), 165.7&#xa0;Mt (1.8 &#xd7; 10<sup>8</sup> short tons) in the 2,145&#xa0;km<sup>2</sup> (828 mi<sup>2</sup>) evaluation region, with a P<sub>10</sub>&#x2013;P<sub>90</sub> range of 40.8&#xa0;kt/km<sup>2</sup> (116,500 short tons/mi<sup>2</sup>) to 132.4&#xa0;kt/km<sup>2</sup> (378,000 short tons/mi<sup>2</sup>), or 87.6&#x2013;284.1&#xa0;Mt (9.7 &#xd7; 10<sup>7</sup>&#x2014;3.1 &#xd7; 10<sup>8</sup> short tons) in the evaluation region. The surface area required to store the estimated P<sub>50</sub> supercritical CO<sub>2</sub> volume in the Rose Run is 12.9&#xa0;km<sup>2</sup>/Mt (&#x2212;4.5 mi<sup>2</sup>/million short tons), or 388.4&#xa0;km<sup>2</sup> (150 mi<sup>2</sup>) of surface area to store 30&#xa0;Mt (33 million short tons) of CO<sub>2</sub> generated during the life span of a coal-fired electrical generating plant.</p>
<sec id="s5-1">
<title>CO<sub>2</sub> storage confining intervals</title>
<p>The Rose Run is overlain by 60&#xa0;m of dense dolomites of the Beekmantown, 1.2&#xa0;m of sandy carbonates correlated to the Middle Ordovician St. Peter Sandstone, 24.4&#xa0;m of dolomites of the Wells Creek Formation, 166&#xa0;m of dolomites of the Upper Ordovician High Bridge Group, 82&#xa0;m of limestones of the Lexington Limestone, and 249&#xa0;m of mixed Upper Ordovician shales and limestones (<xref ref-type="bibr" rid="B7">Bowersox et al., 2018</xref>). The Beekmantown Dolomite, lying immediately above the Rose Run (<xref ref-type="fig" rid="F2">Figure 2</xref>) commonly has overall low porosity and permeability with thin porous and permeable intervals except near the top where paleokarst locally causes significant porosity and permeability (<xref ref-type="bibr" rid="B29">Gupta et al., 2006</xref>; <xref ref-type="bibr" rid="B25">Greb et al., 2009</xref>; <xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>; <xref ref-type="bibr" rid="B24">Greb et al., 2012</xref>). Although the Beekmantown was not sampled for porosity and permeability, analysis by <xref ref-type="bibr" rid="B11">Bowersox et al. (2021</xref>, <xref ref-type="fig" rid="F10">Figure 10</xref>) demonstrated that its geomechanical strength, about double that of the Rose Run, is sufficient for confinement of stored CO<sub>2</sub> if the Rose Run fractures during injection (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>).</p>
<p>Shales of the Upper Ordovician section are correlated to the Clays Ferry and Kope Formations which are commonly considered regional sealing layers (<xref ref-type="bibr" rid="B22">Greb and Anderson, 2010</xref>). Four core plugs from Clays Ferry&#x2013;Kope Formation sampled between 634.0 and 652.1&#xa0;m (&#x2212;405.0&#xa0;m and &#x2212;423.1 m subsea elevation, respectively) have permeabilities from 1.93 &#xd7; 10<sup>&#x2212;7</sup> mD to 4.94 &#xd7; 10<sup>&#x2212;9</sup> mD (mean of 7.411 &#xd7; 10<sup>&#x2212;8</sup> mD) and Swanson permeabilities from mercury injection analyses ranging from 3.71 &#xd7; 10<sup>&#x2212;5</sup> mD to 6.0 &#xd7; 10<sup>&#x2212;5</sup> mD (mean of 4.9 &#xd7; 10<sup>&#x2212;5</sup> mD), suggesting this may be an effective sealing interval CO<sub>2</sub> migration. The permeability of the Clays Ferry&#x2013;Kope interval, however, may be sufficiently low to be a CO<sub>2</sub> confining interval, but shallower than the critical depth for storing supercritical CO<sub>2</sub> (at &#x2212;714&#xa0;m subsea elevation, 942&#xa0;m&#xa0;kB drilled depth in the KGS 1 Hanson Aggregates well) in northeast Kentucky and adjacent regions. In the shallow subsurface, the Lower Mississippian Sunbury Shale (4.6-m thick) occurs at 125&#xa0;m drill depth, and the Upper Devonian Ohio Shale (106.4-m thick) occurs at 170.4&#xa0;m drill depth, where these organic-rich shales form part of another widely recognized, regional confining interval (<xref ref-type="bibr" rid="B15">Casey, 1992</xref>; <xref ref-type="bibr" rid="B14">Casey, 1996</xref>; <xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>). Careful monitoring and management of CO<sub>2</sub> injection pressures will mitigate the likelihood of vertical CO<sub>2</sub> migration from the Rose Run.</p>
</sec>
<sec id="s5-2">
<title>CO<sub>2</sub>&#x2013;brine relative permeability</title>
<p>CO<sub>2</sub>&#x2013;brine fluid mixtures can present complicated multiphase flow conditions in a storage reservoir (<xref ref-type="bibr" rid="B51">Sminchak et al., 2009</xref>), however; CO<sub>2</sub> solubility in an aqueous phase is very low and can be neglected from mixing rules at temperatures less than 100 C (<xref ref-type="bibr" rid="B54">Spycher et al., 2003</xref>; <xref ref-type="bibr" rid="B32">Hassanzadeh et al., 2008</xref>). CO<sub>2</sub>&#x2013;brine relative permeability was tested in a core plug from 1,009.6&#xa0;m at the base of the Rose Run. Relative permeability measured during the drainage phase of the core plug testing is shown in <xref ref-type="fig" rid="F11">Figure 11</xref>. Effective permeability to CO<sub>2</sub> in this sample is 24.6&#xa0;mD, or less than half of the median air permeability in the Rose Run. Estimated residually trapped CO<sub>2</sub> in the Rose Run section was calculated as described in <xref ref-type="bibr" rid="B13">Burnside and Naylor (2014)</xref>.<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mo>%</mml:mo>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi>max</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where S<sub>t</sub> is the trapped CO<sub>2</sub> saturation, the residual saturation where relative permeability to CO<sub>2</sub> is zero, and S<sub>max</sub> is the maximum CO<sub>2</sub> saturation reached in the test. In this core plug, <italic>R</italic> is 47.3%, thus nearly half of any CO<sub>2</sub> that may be injected into the Rose Run in a well similar to the KGS 1 Hanson Aggregates well, may be residually trapped. This is within the range of <italic>R</italic> in the Maryville and Basal sands in the KGS 1 Hanson Aggregates well (<xref ref-type="bibr" rid="B8">Bowersox et al., 2017</xref>; <xref ref-type="bibr" rid="B9">2019a</xref>) and greater than the residually trapped CO<sub>2</sub> in a Mount Simon Sandstone core (<italic>R</italic> &#x3d; 38.9%) from the Illinois Basin (<xref ref-type="bibr" rid="B13">Burnside and Naylor, 2014</xref>).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>CO<sub>2</sub>&#x2013;brine relative permeability tests of the Rose Run in the 1 Hanson Aggregates. Relative permeability to brine (kr<sub>Brine</sub>) is shown in blue and to CO<sub>2</sub> (kr<sub>CO2</sub>) in green. Maximum CO<sub>2</sub> saturation (S<sub>max</sub>) and residual CO<sub>2</sub> saturation (S<sub>t</sub>) points are posted. Capillary trapping efficiency, the percentage of residually trapped CO<sub>2</sub> in the Rose Run (<italic>R</italic> % &#x3d; (S<sub>t</sub>/S<sub>max</sub>) &#xd7; 100; <xref ref-type="bibr" rid="B13">Burnside and Naylor, 2014</xref>), is 47.3%. That is, almost half of the CO<sub>2</sub> injected into the Rose Run would be trapped in the pore space and unable to migrate out of the reservoir in the event of a seal failure.</p>
</caption>
<graphic xlink:href="fenrg-10-832969-g011.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s6">
<title>Discussion</title>
<p>As a known saline reservoir in parts of Ohio and Kentucky, the Rose Run Sandstone has been a regional target for potential carbon sequestration (<xref ref-type="bibr" rid="B63">Zerai et al., 2006</xref>; <xref ref-type="bibr" rid="B25">Greb et al., 2009</xref>; <xref ref-type="bibr" rid="B58">Venteris et al., 2009</xref>; <xref ref-type="bibr" rid="B26">Greb and Solis, 2010</xref>; <xref ref-type="bibr" rid="B24">Greb et al., 2012</xref>). <xref ref-type="bibr" rid="B60">Wickstrom et al. (2010)</xref> estimated 11&#xa0;Gt (12.1 B short tons) of volumetric CO<sub>2</sub> storage potential in deep saline reservoirs in eastern Kentucky, of which the Rose Run, assuming 10 m of net sand with 8% average porosity, was estimated to have potential CO<sub>2</sub> storage capacity of 5.4&#xa0;Gt (&#x2212;6 B short tons). Throughout the area evaluated for CO<sub>2</sub> sequestration by the Midwest Regional Carbon Sequestration Partnership (MRCSP), fracture porosity was the least common type of porosity observed in Rose Run cores (<xref ref-type="bibr" rid="B60">Wickstrom et al., 2010</xref>), consistent with observations of this study.</p>
<p>The Rose Run in the KGS 1 Hanson Aggregates well and surrounding evaluation region has good porosity and permeability (<xref ref-type="fig" rid="F8">Figure 8</xref>) and good injectivity (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>), but does not have sufficient reservoir volume to serve as a large-volume (30-million ton) CO<sub>2</sub> storage reservoir (<xref ref-type="fig" rid="F10">Figure 10</xref>). The Beekmantown and overlying strata have sufficient geomechanical strength, about double that of the Rose Run (<xref ref-type="bibr" rid="B11">Bowersox et al., 2021</xref>), and low porosity and permeability as measured in core plugs and rotary sidewall cores from the Battelle 1 ARP well (Joel Sminchak, Battelle, unpublished data) averaging 1.25% porosity and &#x3c;0.001&#xa0;mD permeability, respectively, to ensure confinement of stored CO<sub>2</sub>, thus the Rose Run could contribute to a stacked-storage reservoir (discussed in <xref ref-type="bibr" rid="B35">Hovorka, 2013</xref>; <xref ref-type="bibr" rid="B42">Raziperchikolaee et al., 2019</xref>).</p>
<p>The comparison of Rose Run CO<sub>2</sub> storage capacity in the KGS 1 Hanson Aggregates well and the Battelle 1 AEP well and Ohio 1 CO<sub>2</sub> well tests.</p>
<p>
<xref ref-type="bibr" rid="B30">Gupta (2008a)</xref> found the Rose Run to be unsuitable for CO<sub>2</sub> storage downdip at the Battelle 1 AEP test well site in West Virginia where there are three primary differences when compared to the KGS 1 Hanson Aggregates well: <italic>i.</italic> The Rose Run in the Battelle 1 AEP well lies at a much greater drilled depth (2,365&#x2013;2,387&#xa0;m), about 1,364&#xa0;m deeper than in the KGS 1 Hanson Aggregates well (<xref ref-type="fig" rid="F6">Figure 6</xref>), and would thus require much greater injection pressure (<xref ref-type="bibr" rid="B37">Lucier et al., 2006</xref>), <italic>ii.</italic> The logs through the 22&#xa0;m Rose Run stratigraphic interval show 13.1&#xa0;m of net sand (as used in this study) interbedded with thin dolomite beds (<xref ref-type="fig" rid="F6">Figure 6</xref>) versus a single sand body as found in the KGS 1 Hanson Aggregates well, and <italic>iii.</italic> The Rose Run in the Battelle 1 AEP well has much lower porosity (<xref ref-type="fig" rid="F7">Figure 7</xref>) compared to the KGS 1 Hanson Aggregates well. Analysis of 31 plugs (<xref ref-type="fig" rid="F7">Figure 7</xref>) from conventional whole cores from the Battelle 1 AEP well shows average porosity in the Rose Run of 6.3% and average permeability of 12&#xa0;mD (<xref ref-type="bibr" rid="B28">Gupta, 2008b</xref>), and one core plug at 2,369.8&#xa0;m with 10.4% porosity and 49 mD permeability (<xref ref-type="bibr" rid="B27">Gupta 2006</xref>). Average permeability calculated from a &#x201c;straddle packer&#x201d; test of the Rose Run in the Battelle 1 AEP well, assuming a 10.7&#xa0;m composite productive sandstone section, is 8.2&#xa0;mD (<xref ref-type="bibr" rid="B53">Spane et al., 2006</xref>) versus 57.4&#xa0;mD calculated from the step-rate test in the KGS 1 Hanson Aggregates well (above). Average porosity calculated from the density log in the 25&#xa0;m Rose Run section in the Battelle 1 AEP well is 4.1%, and average porosity is 8.5% in the 6.1&#xa0;m of net sand with porosity &#x2265;7% (as used in this study). CO<sub>2</sub> storage capacity was calculated for the Rose Run in the Battelle 1 AEP well using the methodology of <xref ref-type="bibr" rid="B21">Goodman et al. (2011)</xref>, with supercritical CO<sub>2</sub> density adjusted for reservoir temperature (this study) and pressure (<xref ref-type="bibr" rid="B37">Lucier et al., 2006</xref>) at an average depth of 2,375&#xa0;m. P<sub>50</sub> CO<sub>2</sub> storage capacity of the Rose Run in the Battelle 1 AEP well was 59.2&#xa0;kt/km<sup>2</sup> (290,000 short tons/mi<sup>2</sup>), or about 77% of the supercritical CO<sub>2</sub> storage capacity of the KGS 1 Hanson Aggregates well (above).</p>
<p>The Rose Run in the Ohio 1 CO<sub>2</sub> well was penetrated in the interval of 2,247&#x2013;2,288 m (<xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>), depths only slightly shallower than in the Battelle 1 AEP well. The Rose Run in the Ohio 1 CO<sub>2</sub> well is equally unsuitable as the Battelle 1 AEP well, with the same reservoir issues: depth, thin sands (<xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>), and low porosity (<xref ref-type="fig" rid="F6">Figure 6</xref>). The review of the formation density log in <xref ref-type="bibr" rid="B59">Wickstrom et al. (2011</xref>, figure three0) shows only 5.5 m of net sand with porosity &#x3e;7% in the 40.8-m Rose Run section. Analysis of 10 rotary sidewall cores from sandstones in the Rose Run interval of the Ohio 1 CO<sub>2</sub> well yielded an average of 7.0% porosity, with a range of 3.3%&#x2013;10.7%, and average permeability of 5.1&#xa0;mD in a range of 0.0034&#x2013;31.6&#xa0;mD, respectively (<xref ref-type="bibr" rid="B59">Wickstrom et al., 2011</xref>). Thus, the Rose Run in the KGS 1 Hanson Aggregates well, Battelle 1 AEP well, and Ohio 1 CO<sub>2</sub> well all lack sufficient CO<sub>2</sub> storage capacity to support stand-alone large-volume CO<sub>2</sub> storage (see the discussion in <xref ref-type="bibr" rid="B9">Bowersox et al., 2019a</xref>), but could serve as part of a stacked-storage reservoir.</p>
<sec id="s6-1">
<title>No Rose Run reservoir trap in northeast Kentucky</title>
<p>This research demonstrates that the reservoir properties of the Rose Run are sufficient for it to contribute to supercritical CO<sub>2</sub> storage in the Central Appalachian Basin, however, further modeling is needed to determine how much any future injected CO<sub>2</sub> might migrate. Although the overlying Beekmantown has sufficient geomechanical properties and low enough porosity and permeability to bar vertical migration of CO<sub>2</sub> injected into the Rose Run, the Rose Run in the KGS 1 Hanson Aggregates well is thin (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F4">4</xref>, <xref ref-type="fig" rid="F6">6</xref>) and lies only 58&#xa0;m (190&#xa0;ft) below the subsurface CO<sub>2</sub> critical depth in northeast Kentucky (<xref ref-type="fig" rid="F10">Figure 10</xref>). No vertical or lateral reservoir traps are recognized updip of the KGS 1 Hanson Aggregates well. Although the CO<sub>2</sub>&#x2013;brine relative permeability test suggests that nearly half of any supercritical CO<sub>2</sub> injected into the Rose Run in the KGS 1 Hanson Aggregates well would be residually trapped, and another portion of injected CO<sub>2</sub> would be trapped by mineral precipitation (<xref ref-type="bibr" rid="B64">Zhu et al., 2013</xref>), the balance of the CO<sub>2</sub> would be mobile and migrate updip. How far and how fast CO<sub>2</sub> migration may occur remains for additional research and reservoir modeling.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s7">
<title>Conclusion</title>
<p>The tests of the Rose Run in the KGS 1 Hanson Aggregates well demonstrated that its reservoir properties are suitable for long-term CO<sub>2</sub> storage and vertical confinement by the overlying Beekmantown. Reservoir properties, Rose Run and Beekmantown geomechanical properties, and injectivity tests were all favorable for using the Rose Run for CO<sub>2</sub> storage, although there are no plans to carry out this in foreseeable future. Because the Rose Run is thin and would require a large reservoir area to have sufficient capacity to store CO<sub>2</sub>, it would only provide a CO<sub>2</sub> storage contribution as part of a stacked-reservoir project. The lack of an updip, lateral reservoir trap, however, appears to preclude supercritical CO<sub>2</sub> storage in the Rose Run in the northeast Kentucky evaluation region. Additional research and modeling will be necessary to determine if the Rose Run is entirely excluded from supercritical CO<sub>2</sub> storage in the Central Appalachian Basin of northeast Kentucky.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s9">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found at: <ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://kgs.uky.edu/kygeode/services/oilgas/">https://kgs.uky.edu/kygeode/services/oilgas/</ext-link> Record Number 14357.</p>
</sec>
<sec id="s10">
<title>Author contributions</title>
<p>JB was the principal investigator of this research and performed CO2 reservoir analyses and wrote most of the manuscript. SG was the co-principal investigator, contributed to stratigraphic and reservoir interpretations to the article. DH contributed to stratigraphic and reservoir interpretations and editorial guidance of the completed manuscript.</p>
</sec>
<sec id="s11">
<title>Funding</title>
<p>This research was funded by the Commonwealth of Kentucky through the Energy Independence and Incentives Act of 2007. Access to the drill site was granted by Hanson Aggregates, Grayson, Kentucky, without which this project would not have been possible. MICP testing was provided by the Indiana Geological Survey, Bloomington, Indiana.</p>
</sec>
<sec sec-type="COI-statement" id="s12">
<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="disclaimer" id="s13">
<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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