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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">1397417</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2024.1397417</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>Optimal design of gas injection development method for enhanced recovery in terrestrial shale oil reservoir</article-title>
<alt-title alt-title-type="left-running-head">Cui 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.2024.1397417">10.3389/fenrg.2024.1397417</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Cui</surname>
<given-names>Xiaoyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2673103/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Zhewei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Rui</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Han</surname>
<given-names>Yi</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Xujiao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lei</surname>
<given-names>Zhengdong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2012335/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Research Institute of Petroleum Exploration and Development</institution>, <institution>PetroChina</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>PetroChina Daqing Oilfield Co., Ltd.</institution>, <addr-line>Daqing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Energy Resources</institution>, <institution>China University of Geosciences (Beijing)</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1707074/overview">Yan Peng</ext-link>, China University of Petroleum, Beijing, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1531639/overview">Chenchen Wang</ext-link>, Yangtze University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2680526/overview">Kun Qian</ext-link>, Changzhou University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Zhengdong Lei, <email>leizhengdong@petrochina.com.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1397417</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Cui, Chen, Wang, Han, He and Lei.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Cui, Chen, Wang, Han, He and Lei</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>This study investigates the shale oil drainage characteristics from the Gulong Sag, The objective is to clarify the development method for effective recovery enhancement of terrestrial shale oil. The investigation employs elastic depletion, CO<sub>2</sub> displacement, and CO<sub>2</sub> huff and puff coupled with nuclear magnetic resonance (NMR) measurements and numerical simulation methods. The study found that the elastic depletion, CO<sub>2</sub> displacement, and CO<sub>2</sub> huff and puff utilization efficiencies were 17.4%, 18.87%, and 21%, respectively. The study evaluated the oil drainage efficiency of different pore sizes in elastic depletion and CO<sub>2</sub> huff and puff modes. The results demonstrated a clear trend in the order of micropore, mesoporous and macropore, with micropores exhibiting the highest oil drainage efficiency due to gas channeling during CO<sub>2</sub> displacement. The use of CO<sub>2</sub> huff and puff has been shown to improve oil drainage efficiency by 6.02%&#x223c;9.2% for different pore sizes. The numerical simulation optimization results suggest an injection volume of 3,000 t per round per well, an injection rate of 100 t/d, and a soaking time of 20 d for optimal CO<sub>2</sub> huff and puff injection. This will increase oil production by 65,000 m&#xb3;, resulting in an overall improvement of 24%. The study results provide a strong theoretical foundation for improving the recovery rates of terrestrial shale oil and gas through injection.</p>
</abstract>
<kwd-group>
<kwd>terrestrial shale oil</kwd>
<kwd>gas injection</kwd>
<kwd>nuclear magnetic resonance (NMR)</kwd>
<kwd>enhanced oil recovery</kwd>
<kwd>numerical simulation</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Advanced Clean Fuel Technologies</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>China&#x2019;s terrestrial shale oil is mainly distributed in the Songliao Basin, Ordos Basin, Junggar Basin, Sichuan Basin and Jianghan Basin, etc., which are widely distributed and have huge resources, The use of natural energy development suffers from rapid pressure drop and diminishing producation. Gulong shale oil is the most typical <italic>in situ</italic> terrestrial shale oil and the reservoir is characterised by tight lithology and high clay mineral content compared to domestic and foreign shales dominated by marine or saline lake basin deposits; The storage space is a nano-matrix pore with a pore throat diameter of 10&#xa0;nm&#x2013;50&#xa0;nm; Porosity ranges from 2.1% to 12.0% and permeability is less than 0.01 mD (<xref ref-type="bibr" rid="B14">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B6">He et al., 2023</xref>). Due to the characteristics of tight lithology, low porosity and low permeability, effective development is a major challenge and studies have shown that unconventional reservoirs can be effectively developed by gas injection to improve recovery (<xref ref-type="bibr" rid="B4">Fu et al., 2023</xref>).</p>
<p>Tao conducted an experimental study of cyclic gas injection in the Eagle Ford Shale using a simulation method, and the results showed that cyclic gas injection in hydraulically fractured shale reservoirs can increase the total oil recovery rate by 29% (<xref ref-type="bibr" rid="B13">Tao et al., 2013</xref>). Ao carried out high pressure PVT tests and long thin tube alternation flooding experiments to carry out the indoor evaluation study of gas injection and CO<sub>2</sub> flooding to improve recovery. Through the analysis of crude oil physical properties and oil displacement efficiency, it shows that the continuous injection of rich gas and alternating injection can improve the recovery rate by more than 28% (<xref ref-type="bibr" rid="B1">Ao et al., 2016</xref>). Zhao carried out CO<sub>2</sub>&#x2013;formation crude oil contact experiments, core seepage experiments and indoor displacement experiments to describe the two-phase seepage characteristics of CO<sub>2</sub>&#x2013;formation crude oil, to analyse the CO<sub>2</sub> flooding mechanism and displacement characteristics, and to conduct mine experiments in the Jingbian extra-low permeability oil reservoir. Research has shown that the gas injection capacity of extra-low permeability reservoirs is twice that of water injection, and that gas injection can quickly and effectively replenish formation energy and increase oil production, with daily liquid and oil production in the test area increasing overall (<xref ref-type="bibr" rid="B16">Zhao et al., 2018</xref>). Yao carried out an experimental study of CO<sub>2</sub> displacement using one-dimensional and two-dimensional nuclear magnetic resonance (NMR) technology evaluation methods with Ordos Basin Chang 7 Shale core samples. The results show that the relative volume fraction of free oil in the replacement is over 50% (<xref ref-type="bibr" rid="B15">Yao et al., 2023</xref>). Kong took Hailar oilfield as the research object to carry out CO<sub>2</sub> injection gravity oil repulsion experiments, and the CO<sub>2</sub> flooding efficiency could reach 55.9% when injecting 1.2&#xa0;PV of CO<sub>2</sub> at the original formation pressure of 10.57&#xa0;MPa (<xref ref-type="bibr" rid="B7">Kong et al., 2023</xref>). In recent years, many scientists at home and abroad have conducted research on different injection media, influencing factors and the degree of shale oil recovery.</p>
<p>In this paper, the core samples of the Gulong Sag were taken as the research objects, and the indoor experiments of elastic depletion, CO<sub>2</sub> displacement and CO<sub>2</sub> huff and puff were carried out based on the formation temperature and pressure conditions, so as to clarify the degree of utilization of different pore spaces and the efficiency of different development methods. The effect of different huff and puff parameters on enhanced recovery were further investigated with numerical simulation methods to provide a theoretical basis for the efficient development of shale oil in the Gulong Sag.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<p>The indoor experiments in this paper are based on NMR experimental methods with elastic depletion, CO<sub>2</sub> displacement and CO<sub>2</sub> huff and puff co-examination. In order to simulate the actual reservoir conditions, the experimental temperatures and pressures were consistent with the formation, and the oil used for the experiments was wellhead degassed crude oil. The utilization efficiency and the percentage of utilization pores of different sizes under different development methods were quantitatively characterised by NMR T<sub>2</sub> spectral analysis. Numerical simulation experiments were carried out to determine the optimum values of each parameter by optimising the design of the three main parameters.</p>
<sec id="s2-1">
<title>2.1 Sample information</title>
<p>The mineral composition of the shale in the Gulong Sag is mainly dominated by clay minerals, quartz and feldspar, followed by calcite and dolomite. The specific parameters of the core samples are given in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Parameters of shale cores in the Gulong Sag.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Number</th>
<th align="center">Porosity, %</th>
<th align="center">Permeability, 10<sup>&#x2013;3</sup>&#xa0;&#x3bc;m<sup>2</sup>
</th>
<th align="center">Diameter, cm</th>
<th align="center">Length, cm</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">8.7</td>
<td align="center">0.0036</td>
<td align="center">2.5</td>
<td align="center">2.9</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">10.6</td>
<td align="center">0.0031</td>
<td align="center">2.5</td>
<td align="center">3.1</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">6.2</td>
<td align="center">0.0043</td>
<td align="center">2.5</td>
<td align="center">3.0</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">6.3</td>
<td align="center">0.0059</td>
<td align="center">2.5</td>
<td align="center">3.1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>2.2 Experimental setup</title>
<p>The experimental setup includes a MesoMR3-060H-I NMR instrument, drying apparatus, saturation device, loading device, high temperature and high pressure MR-dd displacement device, data acquisition and RF device, and hand pump. Where the NMR experiments have an echo interval of 0.2&#xa0;ms and a waiting time of 3,000&#xa0;ms.</p>
</sec>
<sec id="s2-3">
<title>2.3 Experimental methods</title>
<p>The following three experimental scenarios are based on the parameters of 41&#xa0;MPa boundary pressure, 35&#xa0;MPa pore pressure, 118.5&#xb0;C actual reservoir temperature, 38&#xa0;MPa reservoir pressure, 30% RH humidity and CO<sub>2</sub> with a purity of 99.95% or more as the displacement/huff and puff medium.</p>
<sec id="s2-3-1">
<title>2.3.1 Elastic depletion experiments</title>
<p>The samples were vacuumed and saturated with formation crude oil after deoiling and drying, and then the sample pore pressure was increased by injecting crude oil at both ends of the sample under 41&#xa0;MPa confinement pressure conditions, and the depletion pressure were set to 5&#xa0;MPa, 15&#xa0;MPa, 25&#xa0;MPa, and 35&#xa0;MPa, respectively. During the oil-saturation process, the confinement pressure was maintained unchanged and the T<sub>2</sub> spectrum of the NMR signal was monitored in real time, and when the NMR T<sub>2</sub> spectrum was stable, the saturation pressure was stopped and the pore pressure released. Once the pore pressure had been completely released and the NMR T<sub>2</sub> spectrum had stabilized, the T<sub>2</sub> spectrum of the sample&#x2019;s NMR signal was measured at this point and the experiment was terminated.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 CO<sub>2</sub> displacement experiments</title>
<p>The dried core samples were vacuumed and saturated with formation crude oil until the cores were fully saturated with formation crude oil to test the NMR T<sub>2</sub> spectra at this point. The confinement pressure was kept constant by the core holder and the T<sub>2</sub> spectra of the NMR signals were measured at displacement pressures of 5&#xa0;MPa, 10&#xa0;MPa, 15&#xa0;MPa, and 20&#xa0;MPa respectively and the NMR maps were plotted and the results analysed.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 CO<sub>2</sub> huff and puff experiments</title>
<p>After deoiling and drying, samples were treated with evacuated, saturated formation crude oil and tested for NMR signals at this point. The T<sub>2</sub> spectrum of the NMR signal was tested under 35&#xa0;MPa pore pressure and reservoir temperature conditions for 10&#xa0;h, followed by pressure release and oil drainage for 5&#xa0;h. The steps of CO<sub>2</sub> huff and puff, soaking and pressure release and oil drainage were repeated to test the NMR T<sub>2</sub> spectra with different rounds and to analyse the experimental results.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Numerical simulation methods</title>
<p>The results of the indoor experiments demonstrate that the CO<sub>2</sub> huff and puff mode has a high utilization efficiency. A CO<sub>2</sub> huff and puff mode was established based on the real reservoir characteristics in the Gulong Sag to investigate the impact of individual CO<sub>2</sub> huff and puff parameters on recovery improvement. The CO<sub>2</sub> huff and puff mode is presented in the table below. The numerical simulation model parameters were formulated based on the optimised design of the single-round injection volume of a single well, the injection rate, the soaking time, and the three main parameters (as shown in <xref ref-type="table" rid="T2">Table 2</xref>), using the basic parameters from <xref ref-type="table" rid="T3">Table 3</xref>. The analysis of huff and puff oil production was conducted under various parameter conditions with confidence.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Range of optimisation parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Parameters</th>
<th align="center">Values</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Single round injection volume, t</td>
<td align="left">600 1,200 1,800 2,400</td>
</tr>
<tr>
<td align="left">3,000 3,600 4,800 6,000 9,600</td>
</tr>
<tr>
<td align="left">Injection rate, t/d</td>
<td align="left">20 30 50 75 100 150 200</td>
</tr>
<tr>
<td align="left">Soaking time, d</td>
<td align="left">10 15 20 25 30 40</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Basic model parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Parameters</th>
<th align="center">Values</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Porosity,%</td>
<td align="center">4.28&#x2013;13.36</td>
</tr>
<tr>
<td align="left">Permeability, 10<sup>&#x2013;3</sup>&#xa0;&#x3bc;m<sup>2</sup>
</td>
<td align="center">0.00138&#x2013;0.1501</td>
</tr>
<tr>
<td align="left">Initial oil saturation,%</td>
<td align="center">60</td>
</tr>
<tr>
<td align="left">Temperature, &#xb0;C</td>
<td align="center">128</td>
</tr>
<tr>
<td align="left">Formation pressure, MPa</td>
<td align="center">38.6</td>
</tr>
<tr>
<td align="left">Duration of the injection phase, day</td>
<td align="center">30</td>
</tr>
<tr>
<td align="left">Duration of the soaking phase, day</td>
<td align="center">30</td>
</tr>
<tr>
<td align="left">Duration of the oil recovery phase, day</td>
<td align="center">120</td>
</tr>
<tr>
<td align="left">Huff and puff rounds, rounds</td>
<td align="center">10</td>
</tr>
<tr>
<td rowspan="2" align="left">Molar percentage of each component, %</td>
<td align="center">CH<sub>4</sub> C<sub>2</sub>-C<sub>6</sub> C<sub>7</sub>-C<sub>20</sub> C<sub>21</sub>
<sup>&#x2b;</sup>
</td>
</tr>
<tr>
<td align="center">55.032 29.09 14.592 1.286</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<p>
<xref ref-type="fig" rid="F1">Figures 1A&#x2013;C</xref> clearly demonstrates the NMR T<sub>2</sub> spectra for different conditions: elastic depletion mode, CO<sub>2</sub> displacement mode, and CO<sub>2</sub> huff and puff mode. The results unequivocally indicate that the degree of oil drainage varies depending on the pore size and elasticity. Pores with greater elasticity are significantly more effective in promoting oil drainage. The spectral samples clearly demonstrate that the pore structure of core samples (a) is relatively simple, while that of core samples (b) and (c) is relatively complex, as evidenced by their classification into single-peak and double-peak states.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A&#x2013;C)</bold> show the NMR T<sub>2</sub> spectra of the samples during elastic depletion, displacement, and huff and puff modes, respectively.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g001.tif"/>
</fig>
<sec id="s3-1">
<title>3.1 Utilization efficiency in utilizing various development models</title>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> displays the utilization efficiency of four samples exhibiting the elastic depletion mode under different differential pressures. The figure clearly demonstrates that all four samples exhibit an increasing trend in utilization efficiency with increasing differential pressure of the depletion. This indicates that as the differential pressure of the depletion increases, the compressed fluid&#x2019;s expansion energy in the pore space also increases, thereby promoting oil discharge. The results demonstrate that the utilisation efficiency of the samples varies significantly with differential pressure. The lowest efficiency was observed at 5&#xa0;MPa, while the highest was achieved at 35&#xa0;MPa, reaching an impressive maximum of 21.2%. Notably, utilisation efficiency increased rapidly as the differential pressure increased from 5&#xa0;MPa to 15&#xa0;MPa, and continued to gradually increase from 15&#xa0;MPa to 25&#xa0;MPa. Although the increase in utilisation efficiency was slower and less pronounced when the differential pressure increased from 25&#xa0;MPa to 35&#xa0;MPa, the overall trend indicates a clear relationship between differential pressure and utilisation efficiency. The elastic depletion mode resulted in an average utilization efficiency of 17.4% at a differential pressure of 35&#xa0;MPa.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Shows the utilization efficiency of four core samples in the elastic depletion mode at differential pressures.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g002.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, the utilization efficiency of CO<sub>2</sub> displacement mode samples increases with the differential pressure. All four samples exhibit an increase in utilization efficiency, with a maximum of 24.94%. Specifically, the efficiency increases by 8.55% at 10&#xa0;MPa, 4.81% at 15&#xa0;MPa, and 1.73% at 20&#xa0;MPa. Increasing the differential pressure of the displacement from 5&#xa0;MPa to 20&#xa0;MPa results in a significant increase in average utilization efficiency. Notably, the CO<sub>2</sub> displacement mode with a 20&#xa0;MPa differential pressure achieves an impressive average utilization efficiency of 18.87%. Overall, these findings demonstrate the clear benefits of increasing differential pressure in displacement processes.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Shows the utilization efficiency of four core samples in CO<sub>2</sub> displacement mode at differential pressure of the displacement.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g003.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> displays the utilization efficiency of CO<sub>2</sub> huff and puff mode samples during various rounds. The figure illustrates a gradual increase in utilization efficiency during huff and puff rounds 1&#x2013;4, with an average increase of 7.3%. Utilization efficiencies for rounds 5 and 6 are slightly higher or lower. It is evident that increasing the number of huff and puff rounds can expand the swept volume and effectively improve the recovery rate. However, after a certain number of rounds, a small amount of oil in the pore is displaced, and the remaining oil becomes difficult to use or may not be used at all. The average utilization efficiency was 21.67% for 4 rounds and 21.84% for 6 rounds.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Shows the utilization efficiency of four core samples in CO<sub>2</sub> huff and puff mode with different huff and puff rounds.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g004.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Utilization efficiency of utilising pores of different sizes under various development modes</title>
<p>Numerous studies have shown that NMR T<sub>2</sub> values correspond well with pore size distribution (<xref ref-type="bibr" rid="B9">Maniesh et al., 2019</xref>; <xref ref-type="bibr" rid="B11">Sun et al., 2022</xref>; <xref ref-type="bibr" rid="B3">Du et al., 2023</xref>). Liu analysed the frequency of pore throat distribution in Gulong shale cores using nuclear magnetic and mercury intrusion methods. They calculated a conversion factor of 0.008&#xa0;&#x3bc;m/ms between shale nuclear magnetic T<sub>2</sub> value and pore throat radius through statistical analysis (<xref ref-type="bibr" rid="B8">Liu et al., 2023</xref>). The experimental core pores were classified using the pore classification method of the International Union of Pure (Chemical) and Applied Chemistry (IUPAC)<sup>.</sup> This method defines pore sizes of less than 2&#xa0;nm as micropore, 2&#xa0;nm&#x2013;50&#xa0;nm as mesoporous, and greater than 50&#xa0;nm as macropore (<xref ref-type="bibr" rid="B5">Gregg and Sing, 1983</xref>; <xref ref-type="bibr" rid="B10">Sing, 1985</xref>), with a conversion factor of 0.008&#xa0;&#x3bc;m/ms. <xref ref-type="fig" rid="F5">Figure 5</xref> the utilization efficiency of pores of different sizes follows the order of macropore &#x3e; mesoporous &#x3e; micropore, from large to small. The higher percentage of free crude oil in the large aperture pore is due to smaller capillary resistance and comparable thickness of the adsorption layer in the large and small aperture pores. The free oil is able to release elastic energy during compression, which facilitates effective discharge.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Pore utilization efficiency of different pore sizes in elastic depletion mode.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g005.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F6">Figure 6</xref> demonstrates that macropores are the primary contributors to oil drainage during CO<sub>2</sub> displacement, followed by micropores and mesoporous, according to the pore classification basis. The oil discharge contribution rate is expected to increase in the order of micropores, mesoporous, and macropores. However, the gas channeling effect prevents oil discharge under air pressure. As a result, the inefficiency of oil discharge increases with pore size, In fact, in some cases, the discharge efficiency of oil from micropores is even higher than that of mesoporous. In the T<sub>2</sub> spectrum shown in <xref ref-type="fig" rid="F1">Figure 1B</xref>, the signal of the peak on the right for a 5&#xa0;MPa displacement pressure difference is higher than that of saturated oil, This confirms the occurrence of gas channeling.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Pore utilization efficiency of different pore sizes in CO<sub>2</sub> displacement mode.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g006.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> in CO<sub>2</sub> huff and puff mode, the utilization efficiencies of different pores are in descending order: macropore &#x3e; mesoporous &#x3e; micropore. In CO<sub>2</sub> huff and puff mode, the driving force of crude oil discharge relies on the elastic force generated by the expansion of compressed fluid in the pore space. The efficiency of oil discharge in different pore space sizes increases significantly by 6.02%, 9.2%, and 8.16%, respectively, compared to that of the elastic depletion mode. This is due to the expansion of crude oil volume and the decrease in fluid viscosity caused by CO<sub>2</sub> dissolution.</p> <fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Pore utilization efficiency of different pore sizes in CO<sub>2</sub> huff and puff mode.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g007.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Optimisation of parameters for the numerical simulation of CO<sub>2</sub> huff and puff</title>
<sec id="s3-3-1">
<title>3.3.1 Optimisation of the injection volume</title>
<p>Tang took the Jimusar shale as a research object and used numerical simulation method to optimise the CO<sub>2</sub> huff and puff scheme, and the results showed that there is an optimum value which can both improve the oil production and maximise the economic benefits (<xref ref-type="bibr" rid="B12">Tang et al., 2022</xref>). <xref ref-type="fig" rid="F8">Figure 8</xref> clearly demonstrates the relationship between injection volume and cumulative oil production and oil exchange rate for a single well. The data shows that increasing injection volumes from 600&#xa0;t to 9,600&#xa0;t results in a corresponding increase in both cumulative oil production and oil exchange rate. The graph of cumulative oil production clearly shows that increasing the injection volume leads to an increase in oil production. This indicates that a higher injection volume results in more gas being dissolved in the crude oil, leading to improved gas swept efficiency and supplementing formation energy. As a result, huff and puff oil production is significantly increased. However, there is a turning point at 2,400&#xa0;t &#x223c;3,000&#xa0;t for single injection volume of a single well, and the increase slows down after that. The oil change rate curve shows that the oil change rate decreases as the injection volume increases, and the combined oil production and oil change rate suggests a single injection volume of 3,000&#xa0;t for a single well in a single round.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> Relationship between different injection volumes and oil production and oil change rate <bold>(B)</bold> Cumulative oil production curves at different injection volumes.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g008.tif"/>
</fig>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Optimising the injection speed</title>
<p>Accelerating the injection rate can significantly improve oil production by enhancing injection pressure, shortening injection time, and increasing the efficiency of smaller hole slit waves. It is important to note that a very high injection rate may lead to gas scrambling, which should be avoided. Cao analyzed different injection rates and recovery rates by simulation, and the results showed that as the injection rate increased, the recovery factor showed a tendency to increase and then decrease (<xref ref-type="bibr" rid="B2">Cao et al., 2017</xref>). In this paper, seven different injection rates are set to compare and analyse with the corresponding oil production. As seen from <xref ref-type="fig" rid="F9">Figure 9A</xref>, as the injection rate increases, the oil production shows a sharp increase and then a stable increase or slight decrease. The oil yield sharply increases and then stabilises before reaching an injection rate of 100&#xa0;t/days. However, beyond this point, the oil yield plateaus or slightly decreases. <xref ref-type="fig" rid="F9">Figure 9B</xref> shows that the oil production curve does not exhibit a significant increase beyond an injection rate of 100&#xa0;t/days. Additionally, it is not expected that the oil production will increase after 2027, and an injection rate of 200&#xa0;t/days displays a decreasing trend. Compared the cumulative oil production at different stages, it is suggested that the injection rate is 100&#xa0;t/days, which corresponds to 30&#xa0;days of gas injection time.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> Relationship between different injection rates and oil production <bold>(B)</bold> Cumulative oil production curves at different injection rates.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g009.tif"/>
</fig>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Optimising soak time</title>
<p>The soaking time is a crucial aspect of huff and puff production, the purpose of which is to bring the injected gas into full contact with the crude oil on the one hand, and to increase the gas coverage on the other, and the appropriate soaking time can effectively improve oil production. As can be seen in <xref ref-type="fig" rid="F10">Figure 10A</xref>, oil production tends to increase as the soaking time of the well increases, but after a certain node is reached, production no longer increases. Based on the data, it is clear that oil production experiences an increase before 20&#xa0;days of well soaking time, but reaches a turning point at 20&#xa0;days. Beyond this point, the increase in cumulative oil production slows or declines (<xref ref-type="fig" rid="F10">Figure 10B</xref>). The production progress and oil production indicators strongly suggest that the optimal well soaking time is 20&#xa0;days.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> Relationship between different well soaking times and oil production <bold>(B)</bold> Cumulative oil production curve under different well soaking times.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g010.tif"/>
</fig>
</sec>
<sec id="s3-3-4">
<title>3.3.4 Predicting the impact of huff and puff on development</title>
<p>The overall injection and extraction parameters were optimised for a single well with a single round injection volume of 3,000&#xa0;t, an injection rate of 100&#xa0;t/days and a soaking time of 20&#xa0;days (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Parameter optimisation results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameters</th>
<th align="left">Optimisation value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Single round injection volume, t</td>
<td align="left">3,000</td>
</tr>
<tr>
<td align="left">Injection rate, t/d</td>
<td align="left">100</td>
</tr>
<tr>
<td align="left">Soaking time, d</td>
<td align="left">20</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Optimisation results in a 3% improvement in oil production compared to elastic depletion in the first year, as shown in <xref ref-type="fig" rid="F11">Figure 11</xref>. After 5&#xa0;years, oil production can be increased by 36,000&#xa0;m&#xb3; compared to depletion with CO<sub>2</sub> huff and puff, resulting in an overall improvement of 24%. It is expected that CO<sub>2</sub> huff and puff will increase oil production by a total of 65,000&#xa0;m&#xb3;. This method can extend the gas reach and effectively supplement formation energy, leading to improved recovery. Additionally, the combination of CO<sub>2</sub> flooding and geological storage is expected to be a future development trend, CO<sub>2</sub> injection strengthens oil and gas extraction while also promoting carbon capture, utilization, and storage (CCUS).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Comparison of oil production between elastic depletion and CO<sub>2</sub> huff and puff mode.</p>
</caption>
<graphic xlink:href="fenrg-12-1397417-g011.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>The study clearly elucidated the exploitation efficiencies of various development modes through indoor experiments and numerical simulations. Additionally, it quantitatively characterized the exploitation efficiencies of pores of different sizes and investigated the impact of key parameters on huff and puff oil production. Based on the findings, the study established optimal injection and extraction parameters and drew definitive conclusions.<list list-type="simple">
<list-item>
<p>(1) The average utilization efficiency of 35&#xa0;MPa depletion pressure in elastic depletion mode is 17.4%, the average utilization efficiency of 20&#xa0;MPa differential pressure in CO<sub>2</sub> displacement mode is 18.87%, and the average utilization efficiency of 6 rounds in CO<sub>2</sub> huff and puff mode is 21.84%, which is comparatively higher among the three modes.</p>
</list-item>
<list-item>
<p>(2) Macropores exhibit the highest oil discharge efficiency in elastic depletion mode, followed by mesoporous and micropores. Similarly, in CO<sub>2</sub> displacement mode, macropores have the highest oil discharge efficiency, followed by micropores and mesoporous. It is worth noting that micropores have a greater oil discharge efficiency than mesoporous due to gas channeling. The study confidently recommends adopting CO<sub>2</sub> huff and puff mode for reservoirs with more developed mesoporous. This mode increases the utilization efficiency of different pore sizes by 6.02%&#x2013;9.2% compared to elastic depletion. The contribution of different pore sizes to oil discharge is in the order of macropore &#x3e; mesoporous &#x3e; micropore, with the utilization efficiency of mesoporous being 9.2% higher than that of elastic depletion.</p>
</list-item>
<list-item>
<p>(3) Among the injection volume, injection rate and soaking time, the single-well single-round injection volume has the greatest influence on cumulative huff and puff oil production. In this study, the optimum single-well single-round injection volume is 3,000&#xa0;t, the injection rate is 100&#xa0;t/days and the soaking time is 20&#xa0;days.</p>
</list-item>
<list-item>
<p>(4) Compared with depletion development, the total oil production of CO<sub>2</sub> huff and puff can be increased by 24%, and it is estimated that the oil can be increased by 65,000&#xa0;m&#xb3;, and the huff and puff can effectively improve the recovery rate.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>XC: Writing&#x2013;original draft, Data curation, Methodology. ZC: Writing&#x2013;review and editing, Data curation. RW: Investigation, Writing&#x2013;review and editing. YH: Methodology, Data curation, Writing&#x2013;review and editing. XH: Writing&#x2013;review and editing, Investigation. ZL: Methodology, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work was supported by the National Natural Science Foundation of China (No. U22B2075).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>Author XC, ZC, XH, and ZL were employed by PetroChina. Author RW was employed by PetroChina Daqing Oilfield Co., Ltd.</p>
<p>The remaining author declares 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="s9">
<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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