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  <front>
    <journal-meta>
      <journal-id journal-id-type="pmc">FDMP</journal-id>
      <journal-id journal-id-type="nlm-ta">FDMP</journal-id>
      <journal-id journal-id-type="publisher-id">FDMP</journal-id>
      <journal-title-group>
        <journal-title>Fluid Dynamics &amp; Materials Processing</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1555-2578</issn>
      <issn pub-type="ppub">1555-256X</issn>
      <publisher>
        <publisher-name>Tech Science Press</publisher-name>
        <publisher-loc>USA</publisher-loc>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">74456</article-id>
      <article-id pub-id-type="doi">10.32604/fdmp.2025.074456</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Numerical Investigation of Carbon Capture, Utilization, and Storage&#x2013;Enhanced Gas Recovery</article-title>
        <alt-title alt-title-type="left-running-head">Numerical Investigation of Carbon Capture, Utilization, and Storage&#x2013;Enhanced Gas Recovery</alt-title>
        <alt-title alt-title-type="right-running-head">Numerical Investigation of Carbon Capture, Utilization, and Storage&#x2013;Enhanced Gas Recovery</alt-title>
      </title-group>
      <contrib-group>
        <contrib id="author-1" contrib-type="author">
          <name name-style="western">
            <surname>Qin</surname>
            <given-names>Nan</given-names>
          </name>
          <xref ref-type="aff" rid="aff-1">1</xref>
        </contrib>
        <contrib id="author-2" contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Ning</surname>
            <given-names>Shaofeng</given-names>
          </name>
          <xref ref-type="aff" rid="aff-2">2</xref>
          <email>ningshaofeng@stu.cdut.edu.cn</email>
        </contrib>
        <contrib id="author-3" contrib-type="author">
          <name name-style="western">
            <surname>Zhao</surname>
            <given-names>Zihan</given-names>
          </name>
          <xref ref-type="aff" rid="aff-1">1</xref>
          <xref ref-type="aff" rid="aff-2">2</xref>
        </contrib>
        <contrib id="author-4" contrib-type="author">
          <name name-style="western">
            <surname>Luo</surname>
            <given-names>Yu</given-names>
          </name>
          <xref ref-type="aff" rid="aff-1">1</xref>
        </contrib>
        <contrib id="author-5" contrib-type="author">
          <name name-style="western">
            <surname>Chen</surname>
            <given-names>Bo</given-names>
          </name>
          <xref ref-type="aff" rid="aff-1">1</xref>
        </contrib>
        <contrib id="author-6" contrib-type="author">
          <name name-style="western">
            <surname>Liu</surname>
            <given-names>Xiaoxu</given-names>
          </name>
          <xref ref-type="aff" rid="aff-1">1</xref>
        </contrib>
        <contrib id="author-7" contrib-type="author">
          <name name-style="western">
            <surname>He</surname>
            <given-names>Yongming</given-names>
          </name>
          <xref ref-type="aff" rid="aff-2">2</xref>
        </contrib>
        <aff id="aff-1"><label>1</label><institution>Petro China Southwest Oil and Gas Field Exploration and Development Research Institute</institution>, <addr-line>Chengdu, 610041</addr-line>, <country>China</country></aff>
        <aff id="aff-2"><label>2</label><institution>College of Energy, Chengdu University of Technology</institution>, <addr-line>Chengdu, 610059</addr-line>, <country>China</country></aff>
      </contrib-group>
      <author-notes>
        <corresp id="cor1"><label>*</label>Corresponding Author: Shaofeng Ning. Email: <email>ningshaofeng@stu.cdut.edu.cn</email></corresp>
      </author-notes>
      <pub-date date-type="collection" publication-format="electronic">
        <year>2025</year>
      </pub-date>
      <pub-date date-type="pub" publication-format="electronic">
        <day>31</day>
        <month>12</month>
        <year>2025</year>
      </pub-date>
      <volume>21</volume>
      <issue>12</issue>
      <fpage>2997</fpage>
      <lpage>3009</lpage>
      <history>
        <date date-type="received">
          <day>11</day>
          <month>10</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>16</day>
          <month>12</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>&#xA9; 2025 The Authors.</copyright-statement>
        <copyright-year>2025</copyright-year>
        <copyright-holder>Published by Tech Science Press.</copyright-holder>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
        </license>
      </permissions>
      <self-uri content-type="pdf" xlink:href="TSP_FDMP_74456.pdf"/>
      <abstract>
        <p>Balancing CO<sub>2</sub> emission reduction with enhanced gas recovery in carbonate reservoirs remains a key challenge in subsurface energy engineering. This study focuses on the Maokou Formation gas reservoir in the Wolonghe Gas Field, Sichuan Basin, and employs a mechanistic model integrated with numerical simulations that couple CO<sub>2</sub>&#x2013;water&#x2013;rock geochemical interactions to systematically explore the principal engineering and chemical factors governing Carbon Capture, Utilization, and Storage&#x2013;Enhanced Gas Recovery (CCUS&#x2013;EGR). The analysis reveals that both the injection&#x2013;production ratio and gas injection rate exhibit optimal ranges. Maximum gas output under single-parameter variation occurs at an injection&#x2013;production ratio of 0.7 and an injection rate of 130,000 m<sup>3</sup>/d, while coordinated optimization of both parameters is essential to achieve the highest production enhancement. Excessively high injection&#x2013;production ratios, however, may induce gas channeling and reduce the ultimate recovery factor. Chemical composition of the injected gas also strongly influences recovery. In the heterogeneous carbonate reservoir considered, a CO<sub>2</sub>&#x2013;N<sub>2</sub> mixed gas mitigates gravity segregation due to its lower density, expanding sweep efficiency and improving overall gas recovery compared to pure CO<sub>2</sub> injection. CO<sub>2</sub>&#x2013;water&#x2013;rock reactions further modify reservoir properties. Near the injection well, acidic dissolution enhances porosity, whereas near the production well, a dynamic interplay of ion migration, pressure&#x2013;temperature variations, and secondary mineral precipitation produces complex porosity evolution. Initial precipitation reduces porosity, while subsequent acidic dissolution partially restores it, creating a heterogeneous and time-dependent porosity profile.</p>
      </abstract>
      <kwd-group kwd-group-type="author">
        <kwd>CCUS-EGR</kwd>
        <kwd>carbonate gas reservoir</kwd>
        <kwd>numerical simulation</kwd>
        <kwd>geochemical reaction</kwd>
      </kwd-group>
      <funding-group>
        <award-group id="awg1">
          <funding-source>National Science Foundation of China</funding-source>
          <award-id>52204033</award-id>
        </award-group>
		<award-group id="awg2">
          <funding-source>Science &#x0026; Technology Department of Sichuan Province</funding-source>
          <award-id>2024NSFSC0201</award-id>
        </award-group>
		<award-group id="awg3">
          <funding-source>Scientific research Project of Petro China Southwest Oil &#x0026; Gas Field Company</funding-source>
          <award-id>2024D112-01-01</award-id>
        </award-group>
      </funding-group>
    </article-meta>
  </front>
  <body>
    <sec id="s1">
      <label>1</label>
      <title>Introduction</title>
      <p>Against the backdrop of global climate change and carbon reduction, CCUS has become one of the core technologies for controlling greenhouse gas emissions [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-2">2</xref>,<xref ref-type="bibr" rid="ref-3">3</xref>]. The CCUS-EGR technology, which combines CCUS with Enhanced Gas Recovery (EGR), involves injecting CO<sub>2</sub> into a gas reservoir. This not only enables long-term geological storage but also effectively displaces residual natural gas, thereby increasing the gas reservoir&#x2019;s recovery factor, possessing both significant environmental and economic value [<xref ref-type="bibr" rid="ref-4">4</xref>,<xref ref-type="bibr" rid="ref-5">5</xref>]. Carbonate gas reservoirs, due to their vast reserves and wide distribution, are ideal target reservoirs for implementing CCUS-EGR [<xref ref-type="bibr" rid="ref-6">6</xref>,<xref ref-type="bibr" rid="ref-7">7</xref>]. However, these reservoirs typically have high heterogeneity, with well-developed pores and fractures, which can easily form preferential flow paths. These geological features pose significant challenges to the sweep efficiency and displacement effect of CO<sub>2</sub>, potentially leading to premature CO<sub>2</sub> breakthrough, gas channeling, and other issues that directly impact storage safety and production enhancement [<xref ref-type="bibr" rid="ref-8">8</xref>,<xref ref-type="bibr" rid="ref-9">9</xref>].</p>
      <p>Furthermore, when CO<sub>2</sub> is injected into a carbonate reservoir, it undergoes a series of complex physical and chemical interactions (such as dissolution-precipitation) with formation water and rock minerals [<xref ref-type="bibr" rid="ref-10">10</xref>,<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-12">12</xref>]. These geochemical reactions will alter the reservoir&#x2019;s pore structure and fluid flow characteristics, which in turn have a profound impact on the migration, storage, and displacement effects of CO<sub>2</sub> [<xref ref-type="bibr" rid="ref-13">13</xref>,<xref ref-type="bibr" rid="ref-14">14</xref>]. Therefore, an in-depth study of the coupled mechanism of multiphase fluid flow and geochemical reactions during the CCUS-EGR process in carbonate gas reservoirs and identifying the key factors affecting its performance are crucial for optimizing injection schemes, enhancing CO<sub>2</sub> storage efficiency, and increasing natural gas recovery [<xref ref-type="bibr" rid="ref-15">15</xref>].</p>
      <p>The Sichuan Basin is an important natural gas production area in China, with particularly abundant carbonate gas reservoir resources [<xref ref-type="bibr" rid="ref-16">16</xref>]. Among them, the Maokou Formation gas reservoir in the Wolonghe Gas Field has entered the middle to late stages of development, facing issues such as declining production and low reserve utilization [<xref ref-type="bibr" rid="ref-6">6</xref>,<xref ref-type="bibr" rid="ref-17">17</xref>]. It has great potential for implementing CCUS-EGR. Although domestic and international scholars have conducted extensive research on CO<sub>2</sub> displacement mechanisms, reservoir heterogeneity, and geochemical reactions [<xref ref-type="bibr" rid="ref-18">18</xref>,<xref ref-type="bibr" rid="ref-19">19</xref>,<xref ref-type="bibr" rid="ref-20">20</xref>], for low-permeability carbonate gas reservoirs like the Wolonghe Gas Field, how to synergistically optimize well network deployment and production/injection parameters while considering the long-term coupled effect of CO<sub>2</sub>&#x2013;water&#x2013;rock to maximize EGR effect and CO<sub>2</sub> storage remains a critical scientific and engineering problem to be solved. To solve this synergistic optimization problem, traditional sensitivity analysis is useful for revealing key mechanisms, while more advanced optimization techniques, such as Response Surface Methodology (RSM) and Artificial Neural Networks (ANN), are also being explored to find a global optimum for such complex, multi-parameter problems [<xref ref-type="bibr" rid="ref-21">21</xref>].</p>
      <p>Given this, this study establishes a detailed three-dimensional numerical model coupled with CO<sub>2</sub>&#x2013;water&#x2013;rock geochemical reactions based on the actual geological data of the Maokou Formation gas reservoir in the Wolonghe Gas Field. The aim is to systematically evaluate the influence of injection and production parameters (injection-production ratio, injection rate, CO<sub>2</sub> purity, etc.) on the CCUS-EGR effect through a multi-scenario numerical simulation comparative analysis, to reveal the intrinsic influence mechanisms of reservoir property evolution and geochemical reactions on CO<sub>2</sub> migration and displacement efficiency, and to clarify the sensitivity ranking of each influencing factor. The research results can provide a theoretical guide for the optimized design and efficient implementation of CCUS-EGR projects in similar carbonate gas reservoirs.</p>
    </sec>
    <sec id="s2">
      <label>2</label>
      <title>Gas Reservoir Profile</title>
      <sec id="s2_1">
        <label>2.1</label>
        <title>Gas Reservoir Overview</title>
        <p>The Wolonghe Gas Field is geographically located at the junction of Dianjiang County and Changshou District in Chongqing City, and tectonically, it is situated in the central part of the ancient gentle uplift and steep fault-fold belt of the eastern Sichuan Basin. The formation is a gentle anticline structure, with a steep west and a gentle east, and is sandwiched between the Mingyue Gorge and Goujiachang high-steep anticline belts. The geological structure of the eastern Sichuan area is mainly modified by the Caledonian and Indosinian-Yanshanian movements. The reservoir is deeply buried, and local faults are well-developed, forming complex oil and gas accumulation and migration channels, which provide favorable geological conditions for natural gas accumulation. <xref ref-type="fig" rid="fig-1">Fig. 1</xref> shows the geographical location of the gas field.</p>
        <fig id="fig-1">
          <label>Figure 1</label>
          <caption>
            <p>Schematic diagram of the Wolonghe Gas Field block.</p>
          </caption>
          <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-1.tif"/>
        </fig>
        <p>The main formation of this study, the Lower Permian Maokou Formation, is a set of carbonate reservoirs. In the Wolonghe area, the Maosiduan is absent, and part of the Maosanduan remains. The lithology is mainly gray to dark gray argillaceous limestone, with local interbeds of dolomite. The Maokou Formation&#x2019;s reservoir type is fracture-vuggy, belonging to an autogenous-autostored gas system, and is one of the main reservoirs of the Lower Permian. The gas reservoir is characterized by abundant hydrocarbon source rocks, well-developed reservoirs, good cap rocks, and preservation conditions. The vertical configuration of source, reservoir, and cap is good, and all accumulation elements are well-matched, providing excellent conditions for gas accumulation.</p>
        <p>The average reservoir porosity is mainly concentrated in the range of 4%~9%, and the permeability is often less than 1.0 mD, consistent with the low-porosity and low-permeability characteristics of a tight gas reservoir. The methane content is 94.18%~97.88%, carbon dioxide content is 1.13%~4.03%, nitrogen content is 0.18%~0.38%, and hydrogen sulfide content is 0.11%~1.34%, with an average of 0.41%. It is a dry gas with low to medium H<sub>2</sub>S and CO<sub>2</sub> content.</p>
      </sec>
      <sec id="s2_2">
        <label>2.2</label>
        <title>CO<sub>2</sub>&#x2013;Water&#x2013;Rock Reaction System</title>
        <p>During the simulation of CO<sub>2</sub> geological storage, the injected CO<sub>2</sub> can undergo a series of water-rock reactions with formation water under high-pressure conditions, affecting mineral dissolution/precipitation behavior and ion migration characteristics, thereby having a potential impact on the reservoir pore structure and storage stability. To convert porosity variation into permeability distribution, a power-law relationship is used to estimate permeability as a function of porosity [<xref ref-type="bibr" rid="ref-22">22</xref>]:
        <disp-formula id="eqn-1">
          <label>(1)</label>
          <mml:math display="block" id="mml-eqn-1">
            <mml:mrow>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>K</mml:mi>
                    <mml:mi>i</mml:mi>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>K</mml:mi>
                    <mml:mi>h</mml:mi>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>=</mml:mo>
              <mml:msup>
                <mml:mrow>
                  <mml:mfenced>
                    <mml:mrow>
                      <mml:mfrac>
                        <mml:mrow>
                          <mml:msub>
                            <mml:mi>&#x3D5;</mml:mi>
                            <mml:mi>i</mml:mi>
                          </mml:msub>
                        </mml:mrow>
                        <mml:mrow>
                          <mml:msub>
                            <mml:mi>&#x3D5;</mml:mi>
                            <mml:mi>h</mml:mi>
                          </mml:msub>
                        </mml:mrow>
                      </mml:mfrac>
                    </mml:mrow>
                  </mml:mfenced>
                </mml:mrow>
                <mml:mi>P</mml:mi>
              </mml:msup>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        where <inline-formula id="ieqn-1">
<mml:math id="mml-ieqn-1">
	<mml:mrow>
		<mml:msub>
			<mml:mi>K</mml:mi>
			<mml:mi>i</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="ieqn-2">
<mml:math id="mml-ieqn-2">
	<mml:mrow>
		<mml:msub>
			<mml:mi>&#x3D5;</mml:mi>
			<mml:mi>i</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> are the permeability and porosity of the <italic>i</italic>th grid, respectively. <inline-formula id="ieqn-3">
<mml:math id="mml-ieqn-3">
	<mml:mrow>
		<mml:msub>
			<mml:mi>K</mml:mi>
			<mml:mi>h</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="ieqn-4">
<mml:math id="mml-ieqn-4">
	<mml:mrow>
		<mml:msub>
			<mml:mi>&#x3D5;</mml:mi>
			<mml:mi>h</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> are the corresponding values for porosity and permeability of a homogeneous system, respectively. P is the power exponent. Porosity is the main indicator and the most direct result of geochemical dissolution/precipitation reactions. The changing trend of permeability is completely consistent with that of porosity. Therefore, in the subsequent studies, only the changes in porosity were analyzed.</p>
        <p>To more realistically reflect the geochemical environment of the wellbore area and the reaction path after CO<sub>2</sub> injection, the model introduced typical water chemical ion compositions and the dissolution reactions of representative carbonate minerals. To maintain focus on the main CO<sub>2</sub>&#x2013;water&#x2013;rock interactions and ensure computational efficiency, we omitted the reactions related to H<sub>2</sub>S. The water type of the formation water is CaCl<sub>2</sub> type, and the specific ion composition is shown in <xref ref-type="table" rid="table-1">Table 1</xref>.</p>
        <table-wrap id="table-1">
          <label>Table 1</label>
          <caption>
            <p>Formation Water Ion Composition.</p>
          </caption>
          <table>
            <thead>
              <tr>
                <th align="center" valign="top" style="border-bottom:solid thin;border-top:solid thin">Ion Type</th>
                <th align="center" valign="top" style="border-bottom:solid thin;border-top:solid thin">Content (mg/L)</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="center" valign="top">Sodium ion</td>
                <td align="center" valign="top">9848</td>
              </tr>
              <tr>
                <td align="center" valign="top">Potassium ion</td>
                <td align="center" valign="top">131</td>
              </tr>
              <tr>
                <td align="center" valign="top">Calcium ion</td>
                <td align="center" valign="top">286</td>
              </tr>
              <tr>
                <td align="center" valign="top">Magnesium ion</td>
                <td align="center" valign="top">23</td>
              </tr>
              <tr>
                <td align="center" valign="top">Chloride</td>
                <td align="center" valign="top">15,599</td>
              </tr>
              <tr>
                <td align="center" valign="top">Sulfate</td>
                <td align="center" valign="top">157</td>
              </tr>
              <tr>
                <td align="center" valign="top">Carbonate</td>
                <td align="center" valign="top">0</td>
              </tr>
              <tr>
                <td align="center" valign="top">Bicarbonate</td>
                <td align="center" valign="top">575</td>
              </tr>
              <tr>
                <td align="center" valign="top" style="border-bottom:solid thin">TDS</td>
                <td align="center" valign="top" style="border-bottom:solid thin">26,619</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>To simulate the acidification and carbonate dissolution process caused by CO<sub>2</sub> injection, the reaction pathways are shown in <xref ref-type="table" rid="table-2">Table 2</xref>:</p>
        <table-wrap id="table-2">
          <label>Table 2</label>
          <caption>
            <p>Water-rock reactions.</p>
          </caption>
          <table>
            <thead>
              <tr>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">No.</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Reaction Equation</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Activation Energy (J/mol)</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Reaction Rate (1/s)</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Secondary Minerals</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="center" valign="top">1</td>
                <td align="center" valign="top">CO<sub>2</sub> (g) + H<sub>2</sub>O (l) &#x2194; H<sub>2</sub>CO<sub>3</sub> (aq)</td>
                <td align="center" valign="top">/</td>
                <td align="center" valign="top">/</td>
                <td align="center" valign="top">/</td>
              </tr>
              <tr>
                <td align="center" valign="top">2</td>
                <td align="center" valign="top">H<sub>2</sub>CO<sub>3</sub> (aq) &#x2194; H<sup>+</sup> (aq) + HCO<sub>3</sub><sup>&#x2212;</sup> (aq)</td>
                <td align="center" valign="top">/</td>
                <td align="center" valign="top">/</td>
                <td align="center" valign="top">/</td>
              </tr>
              <tr>
                <td align="center" valign="top">3</td>
                <td align="center" valign="top">HCO<sub>3</sub><sup>&#x2212;</sup> &#x2194; H<sup>+</sup> (aq) + CO<sub>3</sub><sup>2&#x2212;</sup> (aq)</td>
                <td align="center" valign="top">/</td>
                <td align="center" valign="top">/</td>
                <td align="center" valign="top">/</td>
              </tr>
              <tr>
                <td align="center" valign="top">4</td>
                <td align="center" valign="middle">CaCO<sub>3</sub> (s) + H<sup>+</sup> (aq) &#x2192; Ca<sup>2+</sup> (aq) + HCO<sub>3</sub><sup>&#x2212;</sup> (aq)</td>
                <td align="center" valign="top">23,500</td>
                <td align="center" valign="top">&#x2212;5.81</td>
                <td align="center" valign="middle">completely dissolved</td>
              </tr>
              <tr>
                <td align="center" valign="top" style="border-bottom:solid thin">5</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">CaMg(CO<sub>3</sub>)<sub>2</sub> (s) + 2H<sup>+</sup> (aq) &#x2192; Ca<sup>2+</sup> (aq) + Mg<sup>2+</sup> (aq) + 2HCO<sub>3</sub><sup>&#x2212;</sup> (aq)</td>
                <td align="center" valign="top" style="border-bottom:solid thin">52,200</td>
                <td align="center" valign="top" style="border-bottom:solid thin">&#x2212;7.53</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">completely dissolved</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
      </sec>
    </sec>
    <sec id="s3">
      <label>3</label>
      <title>Numerical Simulation</title>
      <sec id="s3_1">
        <label>3.1</label>
        <title>Numerical Simulation Model Establishment</title>
        <p>Based on logging, geological, and other data, a three-dimensional gas reservoir numerical model was established. To accurately characterize the CCUS-EGR process, the simulation employs a generalized compositional formulation that couples multiphase fluid flow with geochemical reactions. Following the fully coupled geochemical EOS formulation described by Nghiem et al. [<xref ref-type="bibr" rid="ref-23">23</xref>], the component mass conservation equation incorporating the reaction rate is expressed as:
        <disp-formula id="eqn-2">
          <label>(2)</label>
          <mml:math display="block" id="mml-eqn-2">
            <mml:mrow>
              <mml:mfrac>
                <mml:mo>&#x2202;</mml:mo>
                <mml:mrow>
                  <mml:mo>&#x2202;</mml:mo>
                  <mml:mi>t</mml:mi>
                </mml:mrow>
              </mml:mfrac>
              <mml:mfenced>
                <mml:mrow>
                  <mml:mi>&#x3D5;</mml:mi>
                  <mml:mstyle displaystyle="true">
                    <mml:munder>
                      <mml:mo>&#x2211;</mml:mo>
                      <mml:mi>j</mml:mi>
                    </mml:munder>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>&#x3C1;</mml:mi>
                        <mml:mi>j</mml:mi>
                      </mml:msub>
                    </mml:mrow>
                  </mml:mstyle>
                  <mml:msub>
                    <mml:mi>S</mml:mi>
                    <mml:mi>j</mml:mi>
                  </mml:msub>
                  <mml:msub>
                    <mml:mi>x</mml:mi>
                    <mml:mrow>
                      <mml:mi>i</mml:mi>
                      <mml:mi>j</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                </mml:mrow>
              </mml:mfenced>
              <mml:mo>+</mml:mo>
              <mml:mo>&#x2207;</mml:mo>
              <mml:mo>&#x22C5;</mml:mo>
              <mml:mfenced>
                <mml:mrow>
                  <mml:mstyle displaystyle="true">
                    <mml:munder>
                      <mml:mo>&#x2211;</mml:mo>
                      <mml:mi>j</mml:mi>
                    </mml:munder>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>&#x3C1;</mml:mi>
                        <mml:mi>j</mml:mi>
                      </mml:msub>
                    </mml:mrow>
                  </mml:mstyle>
                  <mml:msub>
                    <mml:mi>x</mml:mi>
                    <mml:mrow>
                      <mml:mi>i</mml:mi>
                      <mml:mi>j</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                  <mml:msub>
                    <mml:mstyle mathsize="normal" mathvariant="bold">
                      <mml:mi>v</mml:mi>
                    </mml:mstyle>
                    <mml:mi>j</mml:mi>
                  </mml:msub>
                </mml:mrow>
              </mml:mfenced>
              <mml:mo>=</mml:mo>
              <mml:msub>
                <mml:mi>q</mml:mi>
                <mml:mi>i</mml:mi>
              </mml:msub>
              <mml:mo>&#x2212;</mml:mo>
              <mml:mstyle displaystyle="true">
                <mml:munderover>
                  <mml:mo>&#x2211;</mml:mo>
                  <mml:mrow>
                    <mml:mi>k</mml:mi>
                    <mml:mo>=</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>N</mml:mi>
                      <mml:mrow>
                        <mml:mi>r</mml:mi>
                        <mml:mi>x</mml:mi>
                      </mml:mrow>
                    </mml:msub>
                  </mml:mrow>
                </mml:munderover>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>&#x3BD;</mml:mi>
                    <mml:mrow>
                      <mml:mi>i</mml:mi>
                      <mml:mi>k</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                </mml:mrow>
              </mml:mstyle>
              <mml:msub>
                <mml:mi>r</mml:mi>
                <mml:mi>k</mml:mi>
              </mml:msub>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        where <inline-formula id="ieqn-5">
<mml:math id="mml-ieqn-5">
	<mml:mi>&#x3D5;</mml:mi>
</mml:math>
</inline-formula> is porosity; <inline-formula id="ieqn-6">
<mml:math id="mml-ieqn-6">
	<mml:mrow>
		<mml:msub>
			<mml:mi>&#x3C1;</mml:mi>
			<mml:mi>j</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="ieqn-7">
<mml:math id="mml-ieqn-7">
	<mml:mrow>
		<mml:msub>
			<mml:mi>S</mml:mi>
			<mml:mi>j</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="ieqn-8">
<mml:math id="mml-ieqn-8">
	<mml:mrow>
		<mml:msub>
			<mml:mstyle mathsize="normal" mathvariant="bold">
				<mml:mi>v</mml:mi>
			</mml:mstyle>
			<mml:mi>j</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> denote the molar density, saturation, and Darcy velocity of phase <italic>j</italic> (gas, water), respectively; <inline-formula id="ieqn-9">
<mml:math id="mml-ieqn-9">
	<mml:mrow>
		<mml:msub>
			<mml:mi>x</mml:mi>
			<mml:mrow>
				<mml:mi>i</mml:mi>
				<mml:mi>j</mml:mi>
			</mml:mrow>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is the mole fraction of component <italic>i</italic> in phase <italic>j</italic>; <italic>q<sub>i</sub></italic> is the source/sink term; and the last term represents the rate of change due to geochemical reactions, where <inline-formula id="ieqn-10">
<mml:math id="mml-ieqn-10">
	<mml:mrow>
		<mml:msub>
			<mml:mi>&#x3BD;</mml:mi>
			<mml:mrow>
				<mml:mi>i</mml:mi>
				<mml:mi>k</mml:mi>
			</mml:mrow>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is the stoichiometric coefficient and <inline-formula id="ieqn-11">
<mml:math id="mml-ieqn-11">
	<mml:mrow>
		<mml:msub>
			<mml:mi>r</mml:mi>
			<mml:mi>k</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is the reaction rate of mineral <italic>k</italic>. The fluid velocity <inline-formula id="ieqn-12">
<mml:math id="mml-ieqn-12">
	<mml:mrow>
		<mml:msub>
			<mml:mstyle mathsize="normal" mathvariant="bold">
				<mml:mi>v</mml:mi>
			</mml:mstyle>
			<mml:mi>j</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is governed by Darcy&#x2019;s law:
        <disp-formula id="eqn-3">
          <label>(3)</label>
          <mml:math display="block" id="mml-eqn-3">
            <mml:mrow>
              <mml:msub>
                <mml:mstyle mathsize="normal" mathvariant="bold">
                  <mml:mi>v</mml:mi>
                </mml:mstyle>
                <mml:mi>j</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mo>&#x2212;</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mstyle mathsize="normal" mathvariant="bold">
                    <mml:mi>K</mml:mi>
                  </mml:mstyle>
                  <mml:msub>
                    <mml:mi>k</mml:mi>
                    <mml:mrow>
                      <mml:mi>r</mml:mi>
                      <mml:mi>j</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>&#x3BC;</mml:mi>
                    <mml:mi>j</mml:mi>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo stretchy="false">(</mml:mo>
              <mml:mo>&#x2207;</mml:mo>
              <mml:msub>
                <mml:mi>p</mml:mi>
                <mml:mi>j</mml:mi>
              </mml:msub>
              <mml:mo>&#x2212;</mml:mo>
              <mml:msub>
                <mml:mi>&#x3C1;</mml:mi>
                <mml:mi>j</mml:mi>
              </mml:msub>
              <mml:mi>g</mml:mi>
              <mml:mo>&#x2207;</mml:mo>
              <mml:mi>D</mml:mi>
              <mml:mo stretchy="false">)</mml:mo>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        where <bold>K</bold> is the absolute permeability tensor, <inline-formula id="ieqn-13">
<mml:math id="mml-ieqn-13">
	<mml:mrow>
		<mml:msub>
			<mml:mi>k</mml:mi>
			<mml:mrow>
				<mml:mi>r</mml:mi>
				<mml:mi>j</mml:mi>
			</mml:mrow>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is the relative permeability of phase <italic>j</italic>, <inline-formula id="ieqn-14">
<mml:math id="mml-ieqn-14">
	<mml:mrow>
		<mml:msub>
			<mml:mi>&#x3BC;</mml:mi>
			<mml:mi>j</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is the viscosity, <inline-formula id="ieqn-15">
<mml:math id="mml-ieqn-15">
	<mml:mrow>
		<mml:msub>
			<mml:mi>p</mml:mi>
			<mml:mi>j</mml:mi>
		</mml:msub>
	</mml:mrow>
</mml:math>
</inline-formula> is the pressure, and <italic>g</italic> is the gravitational acceleration.</p>
        <p>The total grid size is 100 &#xD7; 30 &#xD7; 10, with a total of 30,000 effective grid cells.</p>
        <p>The horizontal grid size is set to 50 m &#xD7; 50 m, and the vertical direction is divided into 10 layers, with a single layer thickness of about 9 m and a total thickness of about 90 m. The overall model size is 5000 m &#xD7; 1500 m &#xD7; 90 m.</p>
        <p>To eliminate the influence of grid size on the simulation results, a quantitative mesh sensitivity analysis was conducted. Three grid systems with varying densities were established: Coarse (50 &#xD7; 15 &#xD7; 10), Current (100 &#xD7; 30 &#xD7; 10), and Fine (200 &#xD7; 60 &#xD7; 10). The cumulative gas production was selected as the representative physical variable for comparison. As summarized in <xref ref-type="table" rid="table-3">Table 3</xref>, the results show that the relative deviation in gas production between the Current scheme and the Fine scheme is only 0.2%. However, the computation time for the Fine scheme increases drastically to 3966.9 s, compared to 355.8 s for the Current scheme. Therefore, considering both computational accuracy and efficiency, the Current grid dimension (100 &#xD7; 30 &#xD7; 10) was determined to be the optimal choice for this study.</p>
        <table-wrap id="table-3">
          <label>Table 3</label>
          <caption>
            <p>Mesh sensitivity analysis.</p>
          </caption>
          <table>
            <thead>
              <tr>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Grid Scheme</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Grid Dimension (X &#xD7; Y &#xD7; Z)</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Total Grid Cells</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Cumulative Gas Production (10<sup>8</sup> m&#xB3;)</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Relative Deviation (%)</th>
                <th align="center" valign="middle" style="border-bottom:solid thin;border-top:solid thin">Computation Time (s)</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="center" valign="middle">Coarse</td>
                <td align="center" valign="middle">50 &#xD7; 15 &#xD7; 10</td>
                <td align="center" valign="middle">7500</td>
                <td align="center" valign="middle">3.39</td>
                <td align="center" valign="middle">2.3</td>
                <td align="center" valign="middle">113.6</td>
              </tr>
              <tr>
                <td align="center" valign="middle">Current</td>
                <td align="center" valign="middle">100 &#xD7; 30 &#xD7; 10</td>
                <td align="center" valign="middle">30,000</td>
                <td align="center" valign="middle">3.47</td>
                <td align="center" valign="middle">/</td>
                <td align="center" valign="middle">355.8</td>
              </tr>
              <tr>
                <td align="center" valign="middle" style="border-bottom:solid thin">Fine</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">200 &#xD7; 60 &#xD7; 10</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">120,000</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">3.48</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">0.2</td>
                <td align="center" valign="middle" style="border-bottom:solid thin">3966.9</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The initial depth of the reservoir model is 3447 m, and the formation temperature is set to 85.0&#xB0;C. The natural gas is mainly methane, with a content as high as 96.57%. Other components include nitrogen (0.23%), carbon dioxide (2.11%), ethane (0.65%), propane (0.28%), and trace amounts of hydrogen sulfide. The overall gas composition is stable. These parameters are derived from the logging and fluid analysis results of the Wolonghe Gas Field. The average reservoir porosity is 5%, the horizontal permeability is 1.5 mD, and the vertical permeability is 0.15 mD. These data are representative average values of logging and core data for analyzing the target reservoir section.</p>
        <p>The model is set with three production wells (P-1, P-2, P-3), two injection Wells (I-1, I-2), the production rate of P-1 and P-2 at 40,000 m<sup>3</sup>/d, and the production rate of P-3 at 60,000 m<sup>3</sup>/d. The distribution of well locations is shown in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>. The simulation time is from 1985 to 2025 for depressurization production. The period from 2025 to 2045 is the predictive simulation stage, during which the initial gas injection rate of the injection well is 50,000 m<sup>3</sup>/d. The original gas in place is about 3.54 &#xD7; 10<sup>9</sup> m<sup>3</sup>, the cumulative gas production accounts for 59.93% of the original gas in place, and the final remaining reserves are about 1.43 &#xD7; 10<sup>9</sup> m<sup>3</sup>. The relative permeability of gas and water is set as shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>.</p>
        <fig id="fig-2">
          <label>Figure 2</label>
          <caption>
            <p>(<bold>a</bold>) 3D grid model of the gas reservoir; (<bold>b</bold>) Reservoir pressure distribution after 40 years of depressurization production.</p>
          </caption>
          <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-2.tif"/>
        </fig>
        <fig id="fig-3">
          <label>Figure 3</label>
          <caption>
            <p>Gas-water two-phase relative permeability curves.</p>
          </caption>
          <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-3.tif"/>
        </fig>
      </sec>
      <sec id="s3_2">
        <label>3.2</label>
        <title>Analysis of Influencing Factors and Scheme Selection for CCUS-EGR</title>
        <p>Based on the numerical model initialized with 40 years of simulated production history, this study designed multiple simulation scenarios to analyze the impact of different geological and engineering parameters on the CCUS-EGR effect of the Maokou Formation gas reservoir in Wolonghe. The investigated ranges for the injection-production ratio and injection rate were selected based on practical operational constraints. The main evaluation indicators include CO<sub>2</sub> breakthrough time, cumulative natural gas production, and enhanced recovery factor. And in these simulations, breakthrough time is defined as the time (in days) when the mole fraction of CO<sub>2</sub> in the produced gas stream from the three production wells (P-1, P-2, or P-3) first exceeded 1.0%. The simulation injection time is set to 20 years.</p>
        <sec id="s3_2_1">
          <label>3.2.1</label>
          <title>Injection-Production Ratio</title>
          <p>The injection-production ratio (the volume ratio of injected gas to produced gas) is a key parameter for maintaining formation energy. As shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>, the cumulative gas production shows a trend of first rising and then falling as the injection-production ratio increases, reaching a peak at an injection-production ratio of 0.7. This indicates that an appropriate injection-production ratio (&lt;1.0) can effectively supplement formation energy, slow down the pressure decline rate, and thus increase natural gas production. However, when the injection-production ratio is too high (e.g., &#x2265;0.9), a large amount of injected CO<sub>2</sub> may flow too quickly to the production well, causing gas channeling and consequently reducing the sweep efficiency and total gas production. Therefore, there is an optimal injection-production ratio range, and an excessively high ratio does not lead to economically efficient production enhancement.</p>
          <fig id="fig-4">
            <label>Figure 4</label>
            <caption>
              <p>Effect of injection-production ratio on cumulative gas production.</p>
            </caption>
            <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-4.tif"/>
          </fig>
        </sec>
        <sec id="s3_2_2">
          <label>3.2.2</label>
          <title>Injection Rate</title>
          <p>The injection rate directly affects the CO<sub>2</sub> displacement front and sweep range. As can be seen from <xref ref-type="fig" rid="fig-5">Fig. 5</xref>, the cumulative gas production increases significantly with the increase of the injection rate, reaching its maximum value at a rate of 130,000 m<sup>3</sup>/d, after which it starts to decline. The higher the injection rate, the higher the cumulative capacity of storage CO<sub>2</sub>. This indicates that increasing the injection rate can more quickly establish an effective displacement pressure system and expand the CO<sub>2</sub> sweep volume, thereby enhancing the displacement effect This phenomenon can be explained by fluid dynamics: a higher injection rate increases the pressure gradient between the injector and the producers. According to Darcy&#x2019;s Law, this higher pressure gradient leads to a higher fluid velocity. This has two primary benefits: first, it more quickly builds up reservoir pressure in the vicinity of the injector, establishing the &#x201C;effective displacement pressure system&#x201D; that provides the driving force. Second, the higher velocity allows the CO<sub>2</sub> front to travel further into the reservoir per unit time, expanding the CO<sub>2</sub> sweep volume before gravity segregation or other bypassing effects can dominate, thereby enhancing the displacement effect. However, when the injection rate is too high, it may cause viscous fingering, leading to CO<sub>2</sub> breakthrough along high-permeability channels, reducing sweep efficiency, and ultimately decreasing the final recovery factor. Therefore, selecting an optimal injection rate that balances displacement speed and sweep efficiency is key to achieving the best production enhancement.</p>
          <fig id="fig-5">
            <label>Figure 5</label>
            <caption>
              <p>(<bold>a</bold>) The influence of gas injection rate on cumulative gas production; (<bold>b</bold>) Cumulative CO<sub>2</sub> storage capacity at different injection rates.</p>
            </caption>
            <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-5.tif"/>
          </fig>
          <p>Beyond this macroscopic impact on displacement dynamics and final production, the injection rate also directly influences the intensity and extent of CO<sub>2</sub>&#x2013;water&#x2013;rock geochemical reactions by modulating the flux of reactive fluids, leading to subsequent changes in reservoir properties. This change shows different characteristics in the near-wellbore areas of the injector and production wells. As shown in <xref ref-type="fig" rid="fig-6">Fig. 6</xref>, during the initial injection period, the porosity continued to increase. When the injection lasted for approximately 500 days, the porosity presented different changes. When the injection rate is below 90,000 m<sup>3</sup>/day, porosity decreases with the increase in time. When the injection rate is above 90,000 m<sup>3</sup>/day, the porosity increases with time. The main reason for this is that this area has the highest CO<sub>2</sub> concentration, and the injected CO<sub>2</sub> rapidly dissolves in the formation water to form carbonic acid, leading to a significant decrease in local pH. This strongly acidic environment greatly promotes the dissolution of carbonate minerals (such as calcite and dolomite), thereby effectively increasing the pore space and improving reservoir properties. At the same time, the increase in porosity is positively correlated with the injection rate; the higher the rate, the more CO<sub>2</sub> enters the formation per unit time, the stronger the dissolution, and the more significant the porosity increase.</p>
          <p>Unlike the area near the injection well, the porosity change in the near-wellbore area of the producer is more complex, showing a dynamic competition between dissolution and precipitation, as shown in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>. In the early stage of injection, the porosity in all scenarios showed a slight decrease, followed by a slow recovery or stabilization. The highest injection rate leads to the smallest decline in porosity, while the lowest rate results in the largest decline in porosity. When the injection rate exceeds 90,000 m<sup>3</sup>/day, porosity begins to rise in the later stage of injection. However, when the injection rate is even lower, the rate of porosity reduction will also decrease. This phenomenon can be explained by a complex geochemical mechanism: on the one hand, Ca<sup>2+</sup>, Mg<sup>2+</sup>, and other ions dissolved from the injection well area and transported with the fluid, upon reaching the vicinity of the production well, their solubility decreases due to changes in pressure and temperature conditions, causing secondary precipitation, which can plug some pores and lead to a slight decrease in porosity; on the other hand, as the displacement process continues, the CO<sub>2</sub>&#x2013;rich fluid front gradually advances to this area, and the acidic dissolution effect begins to appear and counteract the precipitation effect, causing the porosity to slowly recover. Therefore, the change in porosity in the production well area is the result of the combined action of ion migration, phase equilibrium changes, and acidification reactions. Its net effect is not as significant as the porosity increase near the injection well, and it may even cause slight damage to the reservoir in the early stages of the project.</p>
          <fig id="fig-6">
            <label>Figure 6</label>
            <caption>
              <p>Change of porosity with time in the near-wellbore area of the injection well (I-1).</p>
            </caption>
            <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-6.tif"/>
          </fig>
          <fig id="fig-7">
            <label>Figure 7</label>
            <caption>
              <p>Change of porosity with time in the near-wellbore area of the production well (P-2).</p>
            </caption>
            <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-7.tif"/>
          </fig>
        </sec>
        <sec id="s3_2_3">
          <label>3.2.3</label>
          <title>Purity of Injected CO<sub>2</sub></title>
          <p>The composition of the injected gas is another key factor affecting displacement efficiency. Different CO<sub>2</sub> injection ratios were set, and N<sub>2</sub> was used as an impurity gas. This is because the main source of gas for geological storage is industrial flue gas, which contains a large amount of CO<sub>2</sub> and N<sub>2</sub> [<xref ref-type="bibr" rid="ref-24">24</xref>,<xref ref-type="bibr" rid="ref-25">25</xref>]. Directly injecting the mixed gas will effectively reduce the separation cost [<xref ref-type="bibr" rid="ref-26">26</xref>]. The simulation results (<xref ref-type="fig" rid="fig-8">Fig. 8</xref>) show an interesting phenomenon: the cumulative natural gas production is negatively correlated with the purity (mole fraction) of CO<sub>2</sub> in the injected gas, meaning that with an increase in the content of the impurity gas N<sub>2</sub>, the final gas production actually increases.</p>
          <p>The main reason for this result can be attributed to the weakening of the gravity segregation effect. Under reservoir conditions (3447 m depth, 85.0&#xB0;C), the density of pure CO<sub>2</sub> (about 600&#x2013;700 kg/m<sup>3</sup>) is much greater than that of natural gas (CH<sub>4</sub>, about 100&#x2013;150 kg/m<sup>3</sup>). This density difference will cause the injected CO<sub>2</sub> to rapidly migrate downwards under the action of gravity, forming &#x201C;gravity override&#x201D;, thereby bypassing the natural gas in the upper and middle parts of the reservoir, leading to lower sweep efficiency and recovery factor. The density of N<sub>2</sub> is close to that of CH<sub>4</sub>. When mixed with CO<sub>2</sub>, the overall density of the mixed gas decreases, and the density difference with the formation&#x2019;s natural gas is reduced. This effectively suppresses the gravity segregation phenomenon, makes the displacement front more stable, and allows it to sweep a wider reservoir space, especially improving the vertical sweep efficiency, thus achieving a higher natural gas recovery factor. This finding has important practical significance for directly using industrial flue gas containing N<sub>2</sub> for EGR.</p>
          <fig id="fig-8">
            <label>Figure 8</label>
            <caption>
              <p>Effect of injected CO<sub>2</sub> purity on cumulative gas production.</p>
            </caption>
            <graphic mimetype="image" mime-subtype="tif" xlink:href="TSP_FDMP_74456-fig-8.tif"/>
          </fig>
        </sec>
      </sec>
    </sec>
    <sec id="s4">
      <label>4</label>
      <title>Conclusions</title>
      <p>Based on a numerical model of the Wolonghe Gas Field&#x2019;s Maokou Formation, this study investigated key factors for optimizing CCUS-EGR and reached the following conclusions:
<list list-type="order">
<list-item>
<label>(1)</label>
  <p>Synergistic optimization of engineering parameters is critical. The highest gas recovery was achieved with an optimal injection-production ratio of 0.7 and an injection rate of 130,000 m<sup>3</sup>/d. Injecting above these values reduced the final recovery factor, confirming that higher injection does not always yield better results due to accelerated breakthrough.</p>
</list-item>
<list-item>
<label>(2)</label>
  <p>Injecting a N<sub>2</sub>/CO<sub>2</sub> mixed gas (e.g., 70% CO<sub>2</sub>/30% N<sub>2</sub>) quantitatively outperformed pure CO<sub>2</sub> injection. This is attributed to the lower density of the mixed gas, which successfully mitigates gravity segregation and improves vertical sweep efficiency.</p>
</list-item>
<list-item>
<label>(3)</label>
  <p>CO<sub>2</sub>&#x2013;water&#x2013;rock reactions have a dual, time-dependent impact on porosity. Near the injection well, continuous acidic dissolution of calcite and dolomite led to a significant porosity enhancement. Conversely, near the production well, porosity first declined due to the precipitation of secondary minerals, followed by a slow recovery as the acidic front advanced, revealing a complex competition between formation damage and stimulation.</p>
</list-item>
</list></p>
      <p>In summary, a successful CCUS-EGR strategy for similar carbonate gas reservoirs requires a synergistic optimization of injection parameters, gas composition, and a thorough assessment of long-term geochemical impacts to maximize both CO<sub>2</sub> storage and natural gas recovery.</p>
    </sec>
  </body>
  <back>
    <ack>
      <p>Not applicable.</p>
    </ack>
    <sec>
      <title>Funding Statement</title>
      <p>This research was funded by the National Science Foundation of China (52204033), the Science &amp; Technology Department of Sichuan Province (2024NSFSC0201), Scientific research Project of Petro China Southwest Oil &amp; Gas Field Company (No. 2024D112-01-01).</p>
    </sec>
    <sec>
      <title>Author Contributions</title>
      <p>The authors confirm contribution to the paper as follows: Conceptualization, Nan Qin and Shaofeng Ning; methodology, Nan Qin; software, Shaofeng Ning; validation, Zihan Zhao, Yu Luo and Bo Chen; formal analysis, Xiaoxu Liu; investigation, Nan Qin; resources, Nan Qin and Yongming He; data curation, Nan Qin and Shaofeng Ning; writing&#x2014;original draft preparation, Nan Qin and Shaofeng Ning; writing&#x2014;review and editing, Zihan Zhao and Yu Luo; visualization, Shaofeng Ning; supervision, Zihan Zhao; project administration, Zihan Zhao; funding acquisition, Nan Qin. All authors reviewed the results and approved the final version of the manuscript.</p>
    </sec>
    <sec sec-type="data-availability">
      <title>Availability of Data and Materials</title>
      <p>The data that support the findings of this study are available from the Corresponding Author, Shaofeng Ning, upon reasonable request.</p>
    </sec>
    <sec>
      <title>Ethics Approval</title>
      <p>Not applicable.</p>
    </sec>
    <sec sec-type="COI-statement">
      <title>Conflicts of Interest</title>
      <p>The authors declare no conflicts of interest to report regarding the present study.</p>
    </sec>
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