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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">983442</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.983442</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Laboratory investigation of the influence of fractures on CO<sub>2</sub> flooding</article-title>
<alt-title alt-title-type="left-running-head">Qing-Fu</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.983442">10.3389/feart.2022.983442</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Qing-Fu</surname>
<given-names>Zhang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1893282/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Exploration and Development Research Institute</institution>, <institution>Shengli Oilfield Company</institution>, <institution>SINOPEC</institution>, <addr-line>Dongying</addr-line>, <addr-line>Shandong</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Key Laboratory on Exploration and Development for Unconventional Oil and Gas</institution>, <addr-line>Dongying</addr-line>, <addr-line>Shandong</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/1312539/overview">Jianlin Zhao</ext-link>, ETH Z&#xfc;rich, Switzerland</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/1895035/overview">Zhao Zhang</ext-link>, Shandong University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1296792/overview">Tao Huang</ext-link>, Zhejiang Ocean University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Zhang Qing-Fu, <email>zhangqingfu605@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Geochemistry, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>983442</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>07</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>08</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Qing-Fu.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Qing-Fu</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>CO<sub>2</sub> injection is a promising method for low-permeability reservoirs. CO<sub>2</sub> is much easier to inject underground compared with water. The solubility of CO<sub>2</sub> in oil decreases the oil density and viscosity, leading to an enhancement of the oil recovery. CO<sub>2</sub> flooding could achieve the dual purpose of developing oil effectively and reducing greenhouse gas. Therefore, this technique has both economic and social benefits and is an essential technology for achieving green development. Natural fractures are widely developed in low-permeability reservoirs, and artificial fractures are often used to improve oil development. These fractures have a significant influence on flow patterns during CO<sub>2</sub> flooding. In addition, fractures are also one of the key factors of CO<sub>2</sub> channeling. Therefore, the influence of fractures on CO<sub>2</sub> flooding pressure distribution, fluid composition, and displacement efficiency needs to be studied. In this work, a CO<sub>2</sub> flooding experiment was implemented to test the pressure distribution and outlet composition changes during CO<sub>2</sub> flooding under different fracture lengths and apertures. The experiment shows that a long and wide fracture could effectively reduce the injection-production pressure difference. However, fractures also had a negative effect on oil development. Fracture length and aperture had a significant effect on the gas phase composition at the outlet, but had little effect on the oil phase composition.</p>
</abstract>
<kwd-group>
<kwd>CO<sub>2</sub> flooding</kwd>
<kwd>low permeability reservoir</kwd>
<kwd>fractures</kwd>
<kwd>CO<sub>2</sub> flooding experiment</kwd>
<kwd>greenhouse gas</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The development of low-permeability reservoirs and tight-oil reservoirs is often unsatisfactory due to problems such as small pore radius and low permeability. The poor flow conditions lead to difficulties in water injection development. Laboratory experiments and field applications have shown that the injection of CO<sub>2</sub> into low-permeability reservoirs has a significant ability to enhance oil. In CO<sub>2</sub> injection, oil mixed with CO<sub>2</sub> has much increased mobility and reduces the interfacial tension. Therefore, CO<sub>2</sub> flooding could greatly improve oil recovery. CO<sub>2</sub> injection has been recognized as the second-largest enhanced oil recovery (EOR) process in the world.</p>
<p>CO<sub>2</sub> has attracted the attention of experts around the world because of its excellent oil displacement capacity. There is a long research history on CO<sub>2</sub> flooding in theory research, and it has been frequently used in applications in the field. Since the 1950s, a large amount of theoretical research and field application research has been carried out (<xref ref-type="bibr" rid="B3">Guo et al., 2002</xref>; <xref ref-type="bibr" rid="B7">Jiang et al., 2010</xref>; <xref ref-type="bibr" rid="B5">He et al., 2011</xref>). In the 1970s, the application of CO<sub>2</sub> flooding made great progress (<xref ref-type="bibr" rid="B8">Cao et al., 2020</xref>). China started research on CO<sub>2</sub> flooding theory and application in the 1960s. This technology has not been widely promoted in China because of the lack of CO<sub>2</sub>.</p>
<p>Global warming is a major issue for the world, as increased amounts of CO<sub>2</sub> and other greenhouse gases in the atmosphere have resulted in increases in sea levels and changes in the climate. Many countries have proposed policies to reduce carbon emissions. In CO<sub>2</sub> flooding, the injected CO<sub>2</sub> is trapped underground, and it is an important way to reduce carbon emissions. Therefore, CO<sub>2</sub> flooding has the dual purpose of oil recovery and CO<sub>2</sub> reduction, and has broad application prospects.</p>
<p>Laboratory experiments of CO<sub>2</sub> flooding are applied to support the implementation of CO<sub>2</sub> flooding in the field (<xref ref-type="bibr" rid="B15">Xie, 1991</xref>; <xref ref-type="bibr" rid="B1">Cheng et al., 2008</xref>; <xref ref-type="bibr" rid="B9">Ma et al., 2020</xref>). Many experts have made great contributions in this field. The influence of CO<sub>2</sub> on the viscosity and volume of oil was studied by <xref ref-type="bibr" rid="B4">Hao et al. (2005</xref>) through laboratory experiments, and the mechanism of CO<sub>2</sub> EOR was researched. Miller and Jones studied the effect of CO<sub>2</sub> on the physical properties of heavy oil (<xref ref-type="bibr" rid="B10">Miller and Jones, 1981</xref>; <xref ref-type="bibr" rid="B11">Sankur and Emanuel, 1983</xref>). Gao et al. (2020) analyzed the influence of development parameters on the CO<sub>2</sub> EOR through experiments (<xref ref-type="bibr" rid="B2">Gao et al., 2020</xref>). Wang et al. (2016) discussed periodic CO<sub>2</sub> injection through experiments in low-permeability porous media, and the influence of injection slug and velocity is revealed in their work (<xref ref-type="bibr" rid="B14">Wang et al., 2016</xref>). The differences between miscible flooding and immiscible flooding were compared by <xref ref-type="bibr" rid="B16">Zhao et al. (2018</xref>), and field experiments were conducted to support the research. The above works mainly focus on the mechanism of CO<sub>2</sub> EOR, and the effect of fractures was not studied.</p>
<p>Oil development of low permeability and tight reservoirs is often affected by fractures. On the one hand, by fracturing the injection well, the injection rate of CO<sub>2</sub> is improved and the reservoir energy can be recovered in a short time. On the other hand, the oil production well is usually fractured to improve the production rate in low-permeability reservoirs. As a high-conductivity channel, fractures are closely related to important parameters such as the swept volume and gas channeling during reservoir development. It is necessary to carry out experimental research on the effect of fractures on CO<sub>2</sub> flooding. In order to explore the effect of fractures on CO<sub>2</sub> flooding, Huang used cores with annulus to represent fractures (<xref ref-type="bibr" rid="B6">Huang et al., 2008</xref>). An experimental study of CO<sub>2</sub> huff and puff was conducted, showing that fractures had a great influence on the CO<sub>2</sub> huff and puff. In order to optimize the injection methods of CO<sub>2</sub> flooding after water flooding, CO<sub>2</sub> compound flooding experiments with single fracture and complex fracture in a five-spot well pattern were implemented, respectively (<xref ref-type="bibr" rid="B12">Shi et al., 2021</xref>). The physical model of fracture radial flow was used in their work. To develop fractured tight reservoirs effectively, Wang (2017) designed a CO<sub>2</sub> flooding experiment to analyze pressure transfer in fractured porous media (<xref ref-type="bibr" rid="B13">Wang, 2017</xref>). In this experiment, the fractures were formed with different apertures. By comparing the CO<sub>2</sub> flooding results with the control experiment, it was shown that the gas channeling caused by fracture was the key factor in the production of oil in the matrix. Existing experiments show that fractures have a significant impact on the development of CO<sub>2</sub> flooding in low-permeability and tight reservoirs. However, further research is required on pressure distribution, fluid composition, and fluid displacement.</p>
<p>In this study, artificial cores were made according to the formation parameters in Shengli Oilfield. Fracture length and aperture are the primary factors affecting CO<sub>2</sub> flooding. Therefore these fractures were made with different lengths and apertures. During CO<sub>2</sub> flooding, the pressure along the core and the components at the outlet was recorded. Then the influence of fractures on CO<sub>2</sub> flooding was investigated.</p>
</sec>
<sec id="s2">
<title>2 Experimental method</title>
<p>The experimental equipment contained UQT-120-70 high temperature and high pressure long-core test system, Bruker 450&#xa0;GC, and Agilent 7890A GC as the main components. The pressure was measured with SENEX DG2113-C-70/B. The pressure measurement signal was automatically recorded by the computer data acquisition system and was set to be recorded every 2&#xa0;min. The cores used in this experiment were artificially produced according to the formation parameters of Shengli Oilfield. After cleaning and drying, the basic parameters of the cores are shown in <xref ref-type="table" rid="T1">Table 1</xref>. The fractures were made by wire cutting, and quartz sand was used as a filler to support the fractures as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Parameters of cores.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Number</th>
<th align="left">Diameter (cm)</th>
<th align="left">Length (cm)</th>
<th align="left">Porosity (%)</th>
<th align="left">Permeability (mD)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">01</td>
<td align="left">2.48</td>
<td align="left">25.17</td>
<td align="left">20.3</td>
<td align="left">37.07</td>
</tr>
<tr>
<td align="left">02</td>
<td align="left">2.51</td>
<td align="left">29.32</td>
<td align="left">20.1</td>
<td align="left">39.22</td>
</tr>
<tr>
<td align="left">03</td>
<td align="left">2.47</td>
<td align="left">25.13</td>
<td align="left">19.9</td>
<td align="left">39.75</td>
</tr>
<tr>
<td align="left">04</td>
<td align="left">2.48</td>
<td align="left">30.11</td>
<td align="left">19.8</td>
<td align="left">40.11</td>
</tr>
<tr>
<td align="left">05</td>
<td align="left">2.50</td>
<td align="left">24.97</td>
<td align="left">20.2</td>
<td align="left">39.83</td>
</tr>
<tr>
<td align="left">06</td>
<td align="left">2.51</td>
<td align="left">30.2</td>
<td align="left">20.1</td>
<td align="left">40.15</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Part of cores used in this experiment. <bold>(A)</bold> Cores before fracture and <bold>(B)</bold> cores after being fracture.</p>
</caption>
<graphic xlink:href="feart-10-983442-g001.tif"/>
</fig>
<p>Since it is difficult to obtain a single core longer than 0.5m, the commonly used method is splicing conventional cores in a certain arrangement. Filter paper was applied to connect short cores to eliminate the terminal effect. The arrangement of each core was as follows.<list list-type="simple">
<list-item>
<p>1) The harmonic mean permeability <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> of the n cores was calculated using <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>. A comparison was made between <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> and the permeability of the n cores, to find the core whose permeability was closest to <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>. Then this core was put in the first place at the outlet of the experimental device:</p>
</list-item>
</list>
<disp-formula id="e1">
<mml:math id="m4">
<mml:mrow>
<mml:mfrac>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mo>&#x03A3;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf4">
<mml:math id="m5">
<mml:mi>L</mml:mi>
</mml:math>
</inline-formula> is total length of the core, cm, <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the harmonized mean permeability of the core, <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:msup>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the length of the <italic>i</italic>th core, and <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the permeability of the <italic>i</italic>th core, <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:msup>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>.<list list-type="simple">
<list-item>
<p>2) The harmonic mean permeability of the remaining n-1 cores <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>was calculated. The core whose permeability was closest to <inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> was arranged in the second place.</p>
</list-item>
<list-item>
<p>3) The long cores were obtained using the above method.</p>
</list-item>
</list>
</p>
<p>Four kinds of cores were considered in this experiment: the control group (without fracture in cores), a core with fracture length 10&#xa0;cm and aperture 0.05mm, a core with fracture length 20&#xa0;cm and aperture 0.05&#xa0;mm, and a core with fracture length 20&#xa0;cm and aperture 0.1&#xa0;mm. By carrying out CO<sub>2</sub> flooding experiments on different types of cores, the influences of fracture length and aperture on the pressure distribution, composition, and displacement effect during CO<sub>2</sub> flooding were studied. The fluid used in this experiment was obtained by compounding the oil and gas samples from the surface separator of a well in the block.</p>
<p>The experimental steps mainly included the following: &#x2460; Firstly, the core was cleaned with petroleum ether and dried with nitrogen, then dead oil was injected with a pump to fully saturate the core, and keep the pressure and temperature at formation conditions for some time. After the core was fully saturated, the amount of dead oil was recorded. &#x2461; The pressure and temperature at the outlet were set to 20&#xa0;MPa and 50&#xb0;C, respectively. Then the prepared live oil was used to displace the dead oil in the core until the gas-oil ratio at the inlet and outlet was the same to ensure that the core was completely saturated with live oil. &#x2462; Industrial-purity CO<sub>2</sub> (99.9%) was injected at a constant rate to displace the oil in the core until no more oil was driven out at the outlet. The data record changed over time, including oil production, gas production, pressure at the measuring points, etc. The produced gas and oil samples were collected for chromatographic analysis. &#x2463; After each experiment was finished, the cores were cleaned, dried with nitrogen, evacuated with a vacuum pump, and steps &#x2460; to &#x2462; were repeated for the next set of experiments.</p>
</sec>
<sec id="s3">
<title>3 Results analysis</title>
<sec id="s3-1">
<title>3.1 Analysis of the influence of fracture length on CO<sub>2</sub> flooding</title>
<sec id="s3-1-1">
<title>3.1.1 Pressure distribution in cores with different fracture lengths</title>
<sec id="s3-1-1-1">
<title>3.1.1.1 Control experiment</title>
<p>Firstly, the CO<sub>2</sub> flooding experiment in cores without fractures was carried out as a control experiment. The measuring points were set every 10&#xa0;cm from the injection point. The outlet pressure remained unchanged, and the CO<sub>2</sub> was injected at a constant rate of 0.2&#xa0;ml/min. The value of the pressure at each measuring point was recorded, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Pressure distribution at different times of the control experiment.</p>
</caption>
<graphic xlink:href="feart-10-983442-g002.tif"/>
</fig>
<p>The pressure at each measuring point gradually decreased with displacement time before CO<sub>2</sub> broke through the core. It indicated that in the initial stage of gas injection, high pressure was required to generate a pressure difference between the inlet and outlet. Stable flooding was formed after the experiment had been carried out for a period of time. At this stage, the required injection pressure at the inlet was decreased. The flow resistance was decreased by reducing the unswept area. Therefore the required pressure became smaller with CO<sub>2</sub> flooding. The gas-oil ratio in <xref ref-type="fig" rid="F3">Figure 3</xref> shows that the CO<sub>2</sub> broke through the core at 0.77&#xa0;PV. Before CO<sub>2</sub> was detected at the outlet, it can be seen from <xref ref-type="fig" rid="F2">Figure 2</xref> that the pressure difference was significantly smaller than the initial pressure difference. It shows that, after the gas broke through, the constant-rate flooding could be achieved with a low pressure difference.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Gas-oil ratio at different times.</p>
</caption>
<graphic xlink:href="feart-10-983442-g003.tif"/>
</fig>
</sec>
<sec id="s3-1-1-2">
<title>3.1.1.2 Fracture lengths of 10 and 20&#xa0;cm</title>
<p>Two kinds of cores were considered in this case. One contained a 10-cm fracture and the other a 20-cm fracture. The aperture of both fractures was 0.05&#xa0;mm. The measuring points were set every 10&#xa0;cm from the injection point. The outlet pressure remained unchanged, and the CO<sub>2</sub> was injected at a constant rate of 0.2&#xa0;ml/min. The values of the pressure at each measuring point were recorded, as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. The curves of gas oil ratio for these two cases are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Pressure distribution in cores with different fracture lengths. <bold>(A)</bold> Length of fracture 10&#xa0;cm and <bold>(B)</bold> length of fracture 20&#xa0;cm.</p>
</caption>
<graphic xlink:href="feart-10-983442-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Gas oil ratio at outlet with different fracture lengths. <bold>(A)</bold> Length of fracture 10&#xa0;cm and <bold>(B)</bold> length of fracture 20&#xa0;cm.</p>
</caption>
<graphic xlink:href="feart-10-983442-g005.tif"/>
</fig>
<p>Compared with the control experiment, the required injection pressure of the cores with fracture was smaller. Similarly, before CO<sub>2</sub> was detected at the outlet, the pressure at each measuring point decreased with the displacement time. The high permeability of the fractures led to low energy loss when fluid flowed through the fracture. Therefore the pressure in the fracture area did not decrease much with distance. But after passing through the fractured area, the descent rate of pressure was faster.</p>
<p>It indicates that fractures can reduce the required injection pressure because of their high permeability. As the experiment continued, the high-viscosity oil area gradually decreased and the flow resistance became smaller simultaneously. <xref ref-type="fig" rid="F5">Figure 5</xref> shows that the CO<sub>2</sub> broke through the core at 0.64&#xa0;PV and 0.58&#xa0;PV, respectively. Before CO<sub>2</sub> was detected at the outlet, it can be seen from <xref ref-type="fig" rid="F4">Figure 4</xref> that the pressure distribution had been reduced to 1.2&#xa0;MPa. When the fracture length was 20&#xa0;cm, the required injection pressure was lower than when the fracture length was 10&#xa0;cm. It indicates that the fractures could effectively reduce the pressure difference between the injection and the production point.</p>
</sec>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Components at outlet of the cores with different fracture lengths</title>
<p>The outlet was used as the collection point to record the cumulative production of the cores at different times. The gas-oil ratio at different times was obtained according to the instantaneous production. The component composition under standard conditions was obtained by chromatography. Four time points were selected to analyze the component, including the time before CO<sub>2</sub> broke through the core, the time when CO<sub>2</sub> broke through the core, the time after CO<sub>2</sub> broke through the core, and the later stage of CO<sub>2</sub> flooding. The molar composition of each component in the gas phase and the oil phase was obtained according to the chromatographic analysis, as shown in the following <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>.<list list-type="simple">
<list-item>
<p>1) Length of fracture 10&#xa0;cm</p>
</list-item>
<list-item>
<p>2) Lengths of fracture 20&#xa0;cm</p>
</list-item>
</list>
</p>
<p>The molar composition of gas and oil are shown in <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>. It is obvious that CH<sub>4</sub> accounts for the largest proportion in the gas phase before CO<sub>2</sub> was detected. Part of the CO<sub>2</sub> was separated from the oil, less than 10%. After the CO<sub>2</sub> was detected, the proportion of CH<sub>4</sub> continued to decrease, and the proportion of CO<sub>2</sub> continued to increase, until the gas component at the outlet was mainly CO<sub>2</sub>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Molar composition at different times. <bold>(A)</bold> Molar composition of the gas phase at different times and <bold>(B)</bold> molar composition of the oil phase at different times.</p>
</caption>
<graphic xlink:href="feart-10-983442-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Molar composition at different times. <bold>(A)</bold> Molar composition of the gas phase at different times and <bold>(B)</bold> molar composition of the oil phase at different times.</p>
</caption>
<graphic xlink:href="feart-10-983442-g007.tif"/>
</fig>
<p>It can be seen from the oil phase composition that at the outlet, the proportion of light hydrocarbon components C<sub>5</sub>-C<sub>7</sub> decreased after gas was detected. Meanwhile, the proportion of intermediate components C<sub>8</sub>-C<sub>12</sub> and heavy components C<sub>13</sub>-C<sub>20</sub> increased. This shows that CO<sub>2</sub> could extract light components from oil. After the light components were extracted, the viscosity of the oil in the swept area was increased, and it was difficult to bring out the heavy components. Therefore, the proportion of heavy components at the outlet continued to decrease.</p>
<p>The proportion of CO<sub>2</sub> in the gas was different, as seen by comparing the gas components in <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>. The produced gas contained more CO<sub>2</sub> in the core with the 20-cm fracture. It demonstrates that the fracture could exacerbate the gas channeling of CO<sub>2</sub>. On the other hand, the fracture had little effect on the component of the produced oil. The main difference was in the core with the 20-cm fracture; the final proportion of intermediate components C<sub>8</sub>-C<sub>12</sub> was increased (the molar fraction of C<sub>8</sub>-C<sub>12</sub> in the 10-cm fracture was increased to 0.51, and the mole fraction of C<sub>8</sub>-C<sub>12</sub> in 20&#xa0;cm fracture was increased to 0.62). It indicates that the fracture could lead to the reduction of the extraction and displacement of CO<sub>2</sub>.</p>
<p>The results in <xref ref-type="fig" rid="F8">Figure 8</xref> show that the final oil recovery was closely connected to the fracture length. A longer fracture had a greater influence on the gas channeling during the CO<sub>2</sub> flooding process. Therefore, the oil recovery decreased as the fracture length increased.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Comparison of the recovery degree of different fracture lengths.</p>
</caption>
<graphic xlink:href="feart-10-983442-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Analysis of the influence of fracture aperture on CO<sub>2</sub> flooding</title>
<p>The fracture with an aperture of 0.1&#xa0;mm was made and compared with the above fracture with an aperture of 0.05&#xa0;mm. The lengths of both fractures were 20&#xa0;cm. The measuring points were set every 10&#xa0;cm from the injection point. The outlet pressure remained unchanged, and the CO<sub>2</sub> was injected at a constant rate of 0.2&#xa0;ml/min. The pressure distribution is shown in the following <xref ref-type="fig" rid="F9">Figure 9</xref>.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Pressure distribution at different times.</p>
</caption>
<graphic xlink:href="feart-10-983442-g009.tif"/>
</fig>
<p>Compared with the 0.05&#xa0;mm fracture aperture in the previous section, the required pressure was smaller. Similar to the conclusion of fracture length, the larger the fracture aperture, the smoother the pressure change. The fracture aperture led to greater effective permeability to reduce the injection-production pressure difference.</p>
<p>The proportion of CO<sub>2</sub> in gas was different in the cores with different apertures as shown in <xref ref-type="fig" rid="F10">Figure 10</xref>. The produced gas contained more CO<sub>2</sub> in the core with the 0.1&#xa0;mm fracture. More than 60% of CO<sub>2</sub> was detected at the outlet when the fracture aperture was 0.1&#xa0;mm. The fracture had little effect on the component of the produced oil.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Molar composition at different times. <bold>(A)</bold> Molar composition of the gas phase at different times and <bold>(B)</bold> molar composition of the oil phase at different times.</p>
</caption>
<graphic xlink:href="feart-10-983442-g010.tif"/>
</fig>
<p>The results in <xref ref-type="fig" rid="F11">Figure 11</xref> show that although the larger fracture aperture may have reduced the pressure difference between the injection and the production point, the gas was able to flow along the high-permeability fracture; this was not conducive to a balanced displacement.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Comparison of the recovery degree of different fracture apertures.</p>
</caption>
<graphic xlink:href="feart-10-983442-g011.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Analysis of the influence of fracture on CO<sub>2</sub> flooding</title>
<p>The pressure before CO<sub>2</sub> was detected at the injection and production point is shown in <xref ref-type="fig" rid="F12">Figure 12</xref>.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Pressure in different experiments.</p>
</caption>
<graphic xlink:href="feart-10-983442-g012.tif"/>
</fig>
<p>The results show that before CO<sub>2</sub> was detected, a larger pressure difference was required in the control experiment. The pressure difference between the injection and production point was about 1.4&#xa0;MPa. The pressure difference would drop if there was a fracture, and the longer the fracture, the smaller the injection-production pressure difference. The fracture aperture had a similar influence on the pressure. Comparing the control experiment and experiment with the fracture of 0.1&#xa0;mm and aperture 20&#xa0;cm length, the injection-production pressure difference was reduced by 40%.</p>
<p>The outlet molar fraction was taken at the moment of gas being detected under the five conditions for comparison, and the results are shown in <xref ref-type="fig" rid="F13">Figure 13</xref>.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Main components of the gas phase at the moment when gas was detected.</p>
</caption>
<graphic xlink:href="feart-10-983442-g013.tif"/>
</fig>
<p>The results show that at the moment of gas being detected, the mole fraction of CO<sub>2</sub> was the lowest in the control experiment, which was only 12.7%. With an increase in fracture length and aperture, the proportion of CO<sub>2</sub> increased to 62.3% when the CO<sub>2</sub> broke through the core. Long and wide fractures shortened the CO<sub>2</sub> breakthrough time at the outlet, and the injected CO<sub>2</sub> had no chance to contact the oil and improve the condition. Therefore the rapid increase of CO<sub>2</sub> affected the displacement efficiency.</p>
<p>The light components C<sub>5</sub>-C<sub>7</sub>, intermediate components C<sub>8</sub>-C<sub>12</sub>, and heavy components C<sub>13</sub>-C<sub>20</sub> were taken under five conditions for comparison, and the results are shown in <xref ref-type="fig" rid="F14">Figure 14</xref>.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Main components of the oil phase at the moment when CO<sub>2</sub> was detected.</p>
</caption>
<graphic xlink:href="feart-10-983442-g014.tif"/>
</fig>
<p>The results show that the increase of fracture aperture and length had little influence on the oil phase composition at the moment of CO<sub>2</sub> breaking the core.</p>
<p>
<xref ref-type="fig" rid="F15">Figure 15</xref> shows that the control experiment had the highest oil recovery. The increase in fracture length and aperture aggravated the gas channeling which led to a decrease in oil recovery. Besides this, compared with the fracture width, the fracture length had a greater impact on the CO<sub>2</sub> flooding.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Comparison of the recovery degree of the different cases.</p>
</caption>
<graphic xlink:href="feart-10-983442-g015.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Conclusion</title>
<p>A CO<sub>2</sub> flooding experiment in a long core was designed. The artificial cores and live oil were prepared according to the reservoir parameters in Shengli Oilfield. The inlet was injected with CO<sub>2</sub> at a constant speed of 0.2&#xa0;ml/min. The pressure distribution along the core and components of the gas phase and oil phase at the outlet was tested. The results demonstrate the following:<list list-type="simple">
<list-item>
<p>1) The CO<sub>2</sub> flooding experiments on the matrix cores show that the pressure of each measuring point decreased rapidly with time in the early stage. After CO<sub>2</sub> broke through the core, the injection-production pressure difference decreased with the decrease of flow resistance. It indicates that constant speed displacement could be achieved without high injection pressure after the gas broke through. The proportion of CH<sub>4</sub> in the gas phase at the outlet exceeded 70% when CO<sub>2</sub> broke through the core. Then the proportion of methane continued to decrease, and the proportion of CO<sub>2</sub> continued to increase until the gas component at the outlet was mainly CO<sub>2</sub>. The proportion of light and intermediate components increased after CO<sub>2</sub> broke through the core.</p>
</list-item>
<list-item>
<p>2) It shows that the long and wide fracture could effectively reduce the injection-production pressure difference. With the increase in fracture length and aperture, the recovery degree decreased from 72.41% to 48.15%. In general, the fracture length and aperture had obvious effects on the pressure distribution and the displacement efficiency.</p>
</list-item>
<list-item>
<p>3) Fracture length and aperture had a significant effect on the gas phase composition at the outlet. Wide and long fractures shortened the CO<sub>2</sub> breakthrough time, and the rapid increase of CO<sub>2</sub> at the outlet affected the displacement efficiency. Generally speaking, the increase of fracture aperture and length had little effect on the oil phase composition.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The data analyzed in this study is subject to the following licenses/restrictions: The data are used for scientific analysis. Requests to access these datasets should be directed to <email>emcgroup@163.com</email>.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>The author confirms being the sole contributor of this work and has approved it for publication.</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of interest</title>
<p>ZQ-F was employed by Shengli Oilfield Company, SINOPEC.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<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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