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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">990963</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.990963</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>A novel CO<sub>2</sub> sensitive and recyclable viscoelastic fluid system for fracturing</article-title>
<alt-title alt-title-type="left-running-head">Wu et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.990963">10.3389/feart.2022.990963</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Baizhi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname>
<given-names>Xin</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/1902602/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dai</surname>
<given-names>Caili</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hou</surname>
<given-names>Shugang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Du</surname>
<given-names>Huanfu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Sinopec Matrix Co., LTD</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Petroleum Engineering</institution>, <institution>China University of Petroleum (East China)</institution>, <addr-line>Qingdao</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/1342544/overview">Wenhui Song</ext-link>, China University of Petroleum, Huadong, 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/1919054/overview">Mingyong Du</ext-link>, University of Western Australia, Australia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1919546/overview">Weitao Li</ext-link>, Geological Scientific Research Institute of Shengli Oilfield Company, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1530448/overview">Lijun Liu</ext-link>, Chengdu University of Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xin Sun, <email>upcsunxin@163.com</email>; Caili Dai, <email>daicl@upc.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Economic Geology, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>08</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>990963</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>07</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>08</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wu, Sun, Dai, Hou and Du.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wu, Sun, Dai, Hou and Du</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>Hydraulic fracturing is one of the most commonly used processes of stimulating oil and gas wells to improve the production in low permeability reservoirs or damaged wells. In response to the serious water waste caused by the flowback fluid after the fracturing operation and the huge environmental pressure, a novel CO<sub>2</sub> sensitive and recyclable viscoelastic fracturing fluid was developed. This CO<sub>2</sub> sensitive property allows fracturing fluids to be recycled. The system consists of viscoelastic surfactants called fatty methyl ester sulfonates (FMES), triethylenetetramine and NaCl. The system shows a strong sensitivity to CO<sub>2</sub>. When the system is repeatedly contacted and separated from CO<sub>2</sub>, the viscosity rises and falls rapidly and regularly. The experiments of viscoelasticity, shear resistance and microstructure confirmed that the increasing viscosity of the system after contacting with CO<sub>2</sub> was caused by the formation of viscoelastic fluid. When the system leak-off into the formation matrix, the microstructure of the system will be rapidly destroyed under the action of hydrocarbons, and the viscosity will drop to 1.225&#xa0;mPa&#xb7;s. Low viscosity after destroying reduces the retention of the system in the formation, resulting in formation damage rate of less than 35%. This research not only provides high-performance, low-cost fracturing fluids, but also provides new insights for the recovery and utilization of fracturing fluids.</p>
</abstract>
<kwd-group>
<kwd>CO<sub>2</sub> sensitive fluid</kwd>
<kwd>hydraulic fracturing</kwd>
<kwd>viscoelastic</kwd>
<kwd>performance evaluation</kwd>
<kwd>microstructure</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Since the 21st century, unconventional reservoir has become one of the most important fields of oil and gas exploration and development (<xref ref-type="bibr" rid="B20">Montgomery and Smith, 2010</xref>; <xref ref-type="bibr" rid="B4">Barati and Liang, 2014</xref>; <xref ref-type="bibr" rid="B31">Zhang et al., 2015a</xref>). A large amount of practical experience has shown that &#x201c;hydraulic fracturing is an irreplaceable technology for the exploitation of unconventional oil and gas reservoirs&#x201d;, and it is also a key technology for economic and effective exploitation (<xref ref-type="bibr" rid="B5">Clark, 1949</xref>; <xref ref-type="bibr" rid="B2">Almuntasheri, 2014a</xref>; <xref ref-type="bibr" rid="B12">Fan et al., 2020</xref>). This is because hydraulic fracturing can provide a large number of fractures in the reservoir to serve as high-speed oil and gas seepage channels. In the process of hydraulic fracturing, the selection of efficient and economical fracturing fluid system is of great significance to ensure the fracturing effect. The ideal fracturing fluid should have high viscoelasticity, low fluid loss, good sand carrying, easy gel breaking and backflow, low core damage and low cost (<xref ref-type="bibr" rid="B19">Lv et al., 2015</xref>; <xref ref-type="bibr" rid="B30">Yin et al., 2019</xref>).</p>
<p>At present, the widely used water-based fracturing fluids mainly use polymer or viscoelastic surfactant as thickener. Compared with polymer fracturing fluids, viscoelastic surfactant (VES) fracturing fluids have many advantages: no crosslinking agent is required, no water-insoluble materials, little damage to the formation, and easy flowback after gel breaking (<xref ref-type="bibr" rid="B18">Liu et al., 2009</xref>; <xref ref-type="bibr" rid="B27">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B9">Dan et al., 2020</xref>). However, VES fracturing fluids do not form a filter cake on the fracture surface, so it has a high leak-off rate in the formation (<xref ref-type="bibr" rid="B3">Almuntasheri, 2014b</xref>). Some researchers set the upper limit of formation permeability applicable to VES fracturing fluid to 100&#xa0;mD (<xref ref-type="bibr" rid="B25">Sullivan, 2006</xref>).</p>
<p>Although VES fracturing fluid has excellent performance, its treatment after flowback is a serious problem due to the large amount of fracturing fluid and the presence of a variety of chemical agents (<xref ref-type="bibr" rid="B16">Jr et al., 2003</xref>; <xref ref-type="bibr" rid="B11">Du et al., 2011</xref>; <xref ref-type="bibr" rid="B17">Li et al., 2014</xref>). To meet the wastewater discharge indicators of various countries, oil fields and service companies need to spend a lot of costs (including equipment, manpower, time, etc.) for the treatment of flowback liquid.</p>
<p>Therefore, it is necessary to construct a recyclable viscoelastic fracturing fluid. This fluid not only inherits the benefits of viscoelastic fracturing fluids, but also dramatically reduces the cost of fracturing and wastewater treatment through the reuse of backflow fluids. The key of recyclable fracturing fluid lies in its controllable viscosity change. In other words, after the fracturing fluid flows back to the ground, its viscosity can be raised again by simple treatment. Series of studies found that some of the CO<sub>2</sub> sensitive materials have the potential to build a recycled fracturing fluid (<xref ref-type="bibr" rid="B28">Wu et al., 2018a</xref>; <xref ref-type="bibr" rid="B29">Wu et al., 2018b</xref>; <xref ref-type="bibr" rid="B37">Zhao et al., 2018</xref>). In the development of fracturing fluids, a good CO<sub>2</sub> sensitive material can react with CO<sub>2</sub> quickly, resulting in a rapid increase in system viscosity. When the system is heated or exposed to a large number of other gases, the viscosity of the system will decrease due to the escape of CO<sub>2</sub>. This means that in the actual fracturing operation, the CO<sub>2</sub> in the fracturing fluid will escape due to the continuous high temperature of the formation or the action of the gas, resulting in a decrease in the viscosity of the system. When the fracturing fluid flows back to the ground, it can be simply collected and processed and then re-introduced with CO<sub>2</sub> to increase its viscosity, thereby realizing the reuse of the fracturing fluid.</p>
<p>During 2013 to 2015, Zhang et al. reported a long-chain tertiary amine surfactant solution that does not require the addition of counter-ions (<xref ref-type="bibr" rid="B33">Zhang et al., 2013a</xref>; <xref ref-type="bibr" rid="B35">Zhang et al., 2013b</xref>; <xref ref-type="bibr" rid="B34">Zhang and Feng, 2015</xref>). When CO<sub>2</sub> is injected into the system, it is found that the viscosity of the system increases from 2&#xa0;mPa&#xa0;s to more than 10<sup>5</sup>&#xa0;mPa&#xa0;s, and the system can be restored to its initial state by air or heating. And after more than three cycles, the performance of the system is basically unchanged. These studies show the possibility of building recyclable viscoelastic fracturing fluid by introducing CO<sub>2</sub>. In 2018, Wu et al. synthesized a CO<sub>2</sub> responsive surfactant, Erucamidopropyl Dimethylamine (EA), and applied it to the development of fracturing fluids for the first time (<xref ref-type="bibr" rid="B29">Wu et al., 2018b</xref>). Results showed this fracturing fluid has a good CO<sub>2</sub>-responsiveness, switchable viscoelastic performance, high shear tolerance, and low core damage. However, the solubility of the surfactant used in Wu&#x2019;s system decreases as the CO<sub>2</sub> escapes in the formation, leading to partial precipitation from the liquid. This characteristic is not conducive to the recovery of surfactant after fracturing fluid flowback.</p>
<p>During this study, we first constructed a CO<sub>2</sub> sensitive fracturing fluid using viscoelastic surfactants, small molecular amines and inorganic salts through extensive experiments. A series of properties such as temperature resistance, shear resistance, rheological property, recycling property, proppant suspension property, leak-off property and formation damage property were evaluated. In addition, the microstructure of the fluid is studied to explain the main mechanism of viscoelasticity of the system. This research not only provides high-performance, low-cost hydraulic fluids, but also provides new insights for the recovery and utilization of fracturing fluids.</p>
</sec>
<sec id="s2">
<title>2 Experimental section</title>
<sec id="s2-1">
<title>2.1 Materials</title>
<sec id="s2-1-1">
<title>2.1.1 Viscoelastic surfactant</title>
<p>The surface of rock is mostly negatively charged, which will lead to a large number of cationic molecules on the surface adsorption and retention, resulting in the waste of working fluid in the formation. Therefore, in order to maximize the recycling of fracturing fluid, we introduced a non-ionic anionic viscoelastic surfactant named fatty methyl ester sulfonates (FMES). The chemical structure of FMES was shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Chemical structure of FMES.</p>
</caption>
<graphic xlink:href="feart-10-990963-g001.tif"/>
</fig>
</sec>
<sec id="s2-1-2">
<title>2.1.2 CO<sub>2</sub> sensitizer</title>
<p>We employed four small molecule amines and investigated their CO<sub>2</sub> sensitivity and their viscosivity when mixed with surfactants. The small molecules amines used in this research are diethylenetriamine, triethylenetetramine, tetrethylenepentamine and pentethylenehexamine.</p>
</sec>
<sec id="s2-1-3">
<title>2.1.3 Oil</title>
<p>The oil saturated cores were used for core permeability regaining test. The crude oil used for oil saturation was collected from Jimsar block, Zhundong Oilfield, Xinjiang, China. The crude oil was centrifuged and filtered through a 5&#xa0;&#x3bc;m Millipore filter to remove water, solids, and other deposits prior to use, respectively (<xref ref-type="bibr" rid="B24">Shariatpanahi et al., 2010</xref>). According to the actual viscosity of underground oil, the experimental oil with a density of 0.8047&#xa0;g/cm<sup>3</sup> and a viscosity of 5.2&#xa0;mPa&#xb7;s at 20&#xb0;C was prepared by mixing crude oil with aviation kerosene in definite proportions. The mixed oil was used in this study.</p>
</sec>
<sec id="s2-1-4">
<title>2.1.4 Cores</title>
<p>Several low permeability cores were employed in the leak-off characteristic test and core permeability regaining test. All the core samples were well cemented sandstone from Chang 7 block of Ordos basin in China, with 2.5&#xa0;cm in diameter and 5&#xa0;cm in length. The basic data of the core samples are listed in <xref ref-type="table" rid="T1">Table 1</xref>. The permeability shown in <xref ref-type="table" rid="T1">Table 1</xref> is the nitrogen gas permeability. The cores L-40-20-1, L-14-2-1, and L-20-1-1 were used for leak-off characteristic test, while the remaining cores were used for permeability regaining test.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Basic parameters of core samples.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample no</th>
<th align="left">Length (cm)</th>
<th align="left">Diameter (cm)</th>
<th align="left">Pore volume (cm<sup>3</sup>)</th>
<th align="left">Porosity (%)</th>
<th align="left">Permeability (&#xd7; 10<sup>&#x2013;3</sup>&#xa0;&#x3bc;m<sup>2</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">L-40-20-1</td>
<td align="left">5.027</td>
<td align="left">2.510</td>
<td align="left">2.614</td>
<td align="left">10.516</td>
<td align="left">0.490</td>
</tr>
<tr>
<td align="left">L-40-20-2</td>
<td align="left">4.818</td>
<td align="left">2.510</td>
<td align="left">2.504</td>
<td align="left">10.510</td>
<td align="left">0.480</td>
</tr>
<tr>
<td align="left">L-14-2-1</td>
<td align="left">5.029</td>
<td align="left">2.516</td>
<td align="left">3.806</td>
<td align="left">15.228</td>
<td align="left">2.300</td>
</tr>
<tr>
<td align="left">L-14-2-2</td>
<td align="left">4.837</td>
<td align="left">2.516</td>
<td align="left">3.660</td>
<td align="left">15.225</td>
<td align="left">2.300</td>
</tr>
<tr>
<td align="left">L-20-1-1</td>
<td align="left">5.034</td>
<td align="left">2.518</td>
<td align="left">3.759</td>
<td align="left">15.002</td>
<td align="left">29.000</td>
</tr>
<tr>
<td align="left">H-16-2</td>
<td align="left">4.792</td>
<td align="left">2.532</td>
<td align="left">4.490</td>
<td align="left">18.618</td>
<td align="left">56.070</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Instruments and methods</title>
<sec id="s2-2-1">
<title>2.2.1 Preparation of fracturing fluid system</title>
<p>First, 60&#xa0;mmol/L of FMES were dissolved completely in deionized water individually. Next, four kinds of CO<sub>2</sub> sensitizers were injected into the surfactant solution. And we also added a certain amount of NaCl to the system. After the solution was fully dissolved by stirring, sufficient amount of CO<sub>2</sub> was slowly injected into the system. Finally, the samples were placed in a thermostat water bath at 60&#xb0;C for 24&#xa0;h to remove all air bubbles.</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2 Rheological measurements</title>
<p>Hakke Mars 60 rheometer (Hakke, Germany) was employed to test the theological property of the fracturing fluid. In order to prevent the escape of CO<sub>2</sub> during the high temperature test, we use the matching sealed measuring cup to conduct the rheological test. Before testing, the sample needs to be stable at a specific temperature for at least 24&#xa0;h (<xref ref-type="bibr" rid="B8">Dai et al., 2017</xref>; <xref ref-type="bibr" rid="B27">Wang et al., 2017</xref>).</p>
</sec>
<sec id="s2-2-3">
<title>2.2.3 Leak-off characteristic test</title>
<p>Various permeability core samples L-40-20-1, L-14-2-1, and L-20-1-1 were employed to take the leak-off experiment. The specific steps of the fluid leak-off experiment were carried out in accordance with the Chinese oil and gas industry standards (<xref ref-type="bibr" rid="B7">C.N.E.A., 2016</xref>).<list list-type="simple">
<list-item>
<p>(1) The core samples are cleaned and dried to measure the porosity.</p>
</list-item>
<list-item>
<p>(2) The core samples are saturated by 4% ammonium chloride aqueous solution.</p>
</list-item>
<list-item>
<p>(3) The core samples are placed in a core holder, and flooded with 4% ammonium chloride solution at 0.5&#xa0;ml/min. The stable flooding pressure is recorded and used to calculate the initial core permeability. The core flooding setup is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
</list-item>
<list-item>
<p>(4) The fracturing fluid system is injected into the core sample at a constant pressure of 6.895&#xa0;MPa. The volume of liquid produced at the outlet at different times is recorded to calculate the leakage coefficient by the following formula (<xref ref-type="bibr" rid="B26">Sun et al., 2019</xref>).</p>
</list-item>
</list>
<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>Q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>60</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>Where <italic>Q</italic> denotes the leak-off rate, cm<sup>3</sup>/s; <italic>V</italic> is the leak-off fluid volume, cm<sup>3</sup>; <italic>T</italic> denotes the leak-off time, min.<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>Q</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>Where <italic>&#x3bc;</italic> represents the viscosity of filtrate, mPa&#xb7;s; <italic>k</italic> is the permeability of core sample, &#x3bc;m<sup>2</sup>; <italic>A</italic> is the cross sectional area of core sample, cm<sup>2</sup>; <italic>&#x394;p</italic> denotes the pressure difference between core ends, MPa; <italic>Q</italic> is the leak-off rate, cm<sup>3</sup>/s and <italic>L</italic> represents the length of core sample, cm.<disp-formula id="equ3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>&#x3d5;</mml:mi>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</disp-formula>Where <italic>C</italic> is the leak-off coefficient of fracturing fluid, m/s<sup>1/2</sup>; <italic>k</italic> denotes the permeability of core sample, m<sup>2</sup>; <italic>&#x3d5;</italic> is the porosity of core sample; <italic>&#x394;p</italic> represents the pressure difference between core ends, Pa and <italic>&#x3bc;</italic> is the viscosity of filtrate, Pa&#xb7;s.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Core flooding system, here BPR denotes back-pressure regulator.</p>
</caption>
<graphic xlink:href="feart-10-990963-g002.tif"/>
</fig>
</sec>
<sec id="s2-2-4">
<title>2.2.4 Core permeability regaining test</title>
<p>The procedure of core permeability regaining test is similar to leak-off experiment.<list list-type="simple">
<list-item>
<p>(1) The core sample is cleaned and dried first, and then the porosity of the sample is measured.</p>
</list-item>
<list-item>
<p>(2) The core samples are saturated by crude oil. It should be noted that due to the low permeability, the core should be saturated with the vacuum pressurization method.</p>
</list-item>
<list-item>
<p>(3) Same method as leak-off experiment step (3) is employed to test the initial permeability of core samples, recorded as <italic>K</italic>
<sub>
<italic>1</italic>
</sub>. Here, crude oil is chosen as the flooding fluid instead of 4% ammonium chloride solution.</p>
</list-item>
<list-item>
<p>(4) The fracturing fluid is injected into the core in the opposite direction with a constant pressure difference of 1&#xa0;MPa. This process is maintained for 36&#xa0;min.</p>
</list-item>
<list-item>
<p>(5) The valves at both ends of the core holder are closed and kept for 120&#xa0;min to allow the fracturing fluid to fully diffuse and react in the core samples.</p>
</list-item>
<list-item>
<p>(6) Same method is employed as step (3) to measure the permeability after core damage by fracturing fluid and recorded as <italic>K</italic>
<sub>
<italic>2</italic>
</sub>. The formulas of permeability regain and damage ratio are as follows (<xref ref-type="bibr" rid="B26">Sun et al., 2019</xref>),</p>
</list-item>
</list>
<disp-formula id="equ4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mtext>rg</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>2</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>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>2</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>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>Where <italic>K</italic>
<sub>
<italic>rg</italic>
</sub> denotes the permeability regain; <italic>&#x3b7;</italic>
<sub>
<italic>d</italic>
</sub> represents the permeability damage ratio; <italic>K</italic>
<sub>
<italic>1</italic>
</sub> is the initial permeability and <italic>K</italic>
<sub>
<italic>2</italic>
</sub> represents the permeability after core damage by fracturing fluid, &#xd7;10<sup>&#x2212;3</sup>&#xa0;&#x3bc;m<sup>2</sup>.</p>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Composition optimization of fracturing fluid system</title>
<sec id="s3-1-1">
<title>3.1.1 CO<sub>2</sub> sensitizer type optimization of fracturing fluid system</title>
<p>Theoretically, diethylenetriamine, triethylenetetramine, tetrethylenepentamine and pentethylenehexamine can all react with CO<sub>2</sub>(<xref ref-type="bibr" rid="B15">Jessop et al., 2012</xref>; <xref ref-type="bibr" rid="B32">Zhang et al., 2015b</xref>). Through the protonation of CO<sub>2</sub>, positively charged ammonium ions are formed. Ammonium ions can further interact with negatively charged FMES to allow the surfactant to self-assemble into wormlike micelles. In order to explore the viscosification ability of the systems formed by different types of small molecules amines, we tested the viscosity data of each system at room temperature (25&#xb0;C). The detailed viscosity data after adding positive ion was shown in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>System viscosity for different kinds of amine (60&#xa0;mmol/L FMES), <bold>(A)</bold> low amine concentration <bold>(B)</bold> high amine concentration.</p>
</caption>
<graphic xlink:href="feart-10-990963-g003.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F3">Figure 3</xref>, it can be clearly seen that the type and concentration of small molecule amines have a significant impact on the system viscosity. At low concentration (lower than 180&#xa0;mmol/L), with the increase of amine, the overall viscosity of the system shows an upward trend. However, when the amine concentration exceeds 1200&#xa0;mmol/L-1500&#xa0;mmol/L, the viscosity of the system will decrease to some extent. This is because after CO<sub>2</sub> injection, small molecule amines are protonated to form ammonium ions. Ammonium ions will compress the electric double layer structure of the surfactant head base, so that the electrostatic repulsion on the surface of the head base is effectively shielded. At this time, the spherical micelles of the surfactant will gradually turn into worm-like micelles. These worm-like micelles are entangled with each other to form a three-dimensional structure, which makes the system viscoelastic on a macroscopic scale.</p>
<p>In <xref ref-type="fig" rid="F3">Figure 3A</xref>, it can be seen that the sensitivity of different amine systems to CO<sub>2</sub> is significantly different. Triethylenetetramine and pentethylenehexamine are the most sensitive to CO<sub>2</sub>. When the concentration is 20&#xa0;mmol/L, the viscosity of the system increases significantly. The sensitivity of tetrethylenepentamine was slightly worse than the former two, and the viscosity of the system increased significantly at 30&#xa0;mmol/L. However, diethylenetriamine is the least sensitive to CO<sub>2</sub>, and the change of system concentration will only be detected when the concentration reaches 1,200&#xa0;mmol/L. This is because a single diethylenetriamine molecule has the least number of amine groups compared to the other three amines. Accordingly, a single diethylenetriamine molecule reacts with CO<sub>2</sub> to form the lowest number of ammonium ions, so more molecules are required to form wormlike micelles. The addition of large amounts of diethylenetriamine is not appropriate for field application cost consideration, so we focus on the analysis of the other three amines.</p>
<p>When the amine concentration was 30&#xa0;mmol/L, the highest viscosity of triethylenetetramine system was 1,217.4&#xa0;mPa&#xb7;s. While the viscosity of tetrethylenepentamine and pentethylenehexamine systems is 454.9&#xa0;mPa&#xb7;s and 457.9&#xa0;mPa&#xb7;s, respectively. When the concentration increases from 20&#xa0;mmol/L to 180&#xa0;mmol/L gradually, the viscosity of the triethylenetetramine system still has a dominant advantage over the other two. Moreover, it can be seen that when the concentration is 60&#xa0;mmol/L, the viscosity of tetrethylenepentamine and pentethylenehexamine system decreases sharply, which reflects the instability of the viscosity increasing ability of these two amines. Therefore, we choose triethylenetetramine as the CO<sub>2</sub> sensitive agent of the system.</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 CO<sub>2</sub> sensitizer concentration optimization of fracturing fluid system</title>
<p>As <xref ref-type="fig" rid="F3">Figure 3A</xref> shown, the viscosity of the triethylenetetramine system remains between 1,200&#xa0;mPa&#xb7;s and 1,300&#xa0;mPa&#xb7;s at low concentrations. In order to further improve the viscosity and CO<sub>2</sub> sensitivity of the system, and reduce the amount of triethylamine and system cost, we chose to add some cations to the system. In common cations, the radius of Na<sup>&#x2b;</sup> is smaller than that of K<sup>&#x2b;</sup>. The smaller the ionic radius, the easier it is to adsorb around the polar groups, and more effectively shield the electrostatic repulsion (<xref ref-type="bibr" rid="B22">Mu and Li, 2001</xref>; <xref ref-type="bibr" rid="B21">Mu et al., 2002</xref>). Based on the performance-first principle, Na<sup>&#x2b;</sup> was chose as the counter ion in the fracturing fluid system. First, we detected the effect of NaCl concentrations on the system viscosity in the surfactant solution without triethylenetetramine, and the results were shown in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>System viscosity for different concentration of Na<sup>&#x2b;</sup> without triethylenetetramine (60&#xa0;mmol/L FMES).</p>
</caption>
<graphic xlink:href="feart-10-990963-g004.tif"/>
</fig>
<p>As <xref ref-type="fig" rid="F4">Figure 4</xref> shown, the concentration of Na<sup>&#x2b;</sup> has a great impact on system viscosity. When the Na<sup>&#x2b;</sup> concentration reached 1,200&#xa0;mmol/L, the viscosity of the system was 8,954.3&#xa0;mPa&#xb7;s, which far exceeded the viscosity of the surfactant and triethylenetetramine system in <xref ref-type="fig" rid="F3">Figure 3</xref>. This effectively proves that adding Na<sup>&#x2b;</sup> can improve the viscosity of the system. However, considering the CO<sub>2</sub> sensitivity of the system, we cannot add too much Na<sup>&#x2b;</sup>. Our method here is to refer to the general technical specifications of fracturing fluids, make sure that the system is just lower than the gluing standard under the appropriate Na<sup>&#x2b;</sup> concentration, that is, 20.0&#xa0;mPa&#xb7;s. According to the results, the system viscosity with 540&#xa0;mmol/L Na<sup>&#x2b;</sup> is 9.0&#xa0;mPa&#xb7;s, while the viscosity of 20.4&#xa0;mPa&#xb7;s with 600&#xa0;mmol/L Na<sup>&#x2b;</sup>. Therefore, we select the optimized concentration of Na<sup>&#x2b;</sup> is 540&#xa0;mmol/L.</p>
<p>Then, we re-added different concentrations of triethylenetetramine to the 60&#xa0;mmol/L surfactant and the 540&#xa0;mmol/L NaCl system, respectively, and tested their viscosities. This has two purposes. On the one hand, we can verify whether the addition of Na<sup>&#x2b;</sup> increases the viscosity and CO<sub>2</sub> sensitivity of the system as we expected. On the other hand, we can further optimize the concentration of triethylenetetramine in the system. The results were shown in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>System viscosity for different concentration of triethylenetetramine with and without NaCl (60&#xa0;mmol/L of FMES and 540&#xa0;mmol/L Na<sup>&#x2b;</sup>).</p>
</caption>
<graphic xlink:href="feart-10-990963-g005.tif"/>
</fig>
<p>By comparing the two dotted lines in <xref ref-type="fig" rid="F5">Figure 5</xref>, we can first find that the viscosity of the system with Na<sup>&#x2b;</sup> is better than that without Na<sup>&#x2b;</sup> at the same triethylenetetramine concentration. This proves that the addition of Na<sup>&#x2b;</sup> can indeed enhance the viscosification ability of the system. In addition, we can see that after CO<sub>2</sub> injection, the viscosity of system with 5&#xa0;mmol/L of triethylenetetramine and Na<sup>&#x2b;</sup> is even higher than system with 10&#xa0;mmol/L of triethylenetetramine without Na<sup>&#x2b;</sup>. This suggests that Na<sup>&#x2b;</sup> does increase the CO<sub>2</sub> sensitivity of the system, as we expected. Furthermore, in the system of FMES &#x2b; NaCl &#x2b; triethylenetetramine, it can be seen that with the increase of triethylenetetramine concentration, the viscosity of the system gradually increases, reaching a peak of 1940.3&#xa0;mPa&#xb7;s at 60&#xa0;mmol/L. When the concentration exceeds 60&#xa0;mmol/L, the viscosity of the system decreases slightly. After the concentration reached 120&#xa0;mmol/L, the viscosity increased back to 2,122.5&#xa0;mPa&#xb7;s. However, for the consideration of dosage and cost, we finally chose the formula of the system as 60&#xa0;mmol/L FMES &#x2b; 540&#xa0;mmol/L NaCl &#x2b; 60&#xa0;mmol/L triethylenetetramine.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Viscoelastic performance of fracturing fluid system</title>
<p>Proppant supports and migrates more efficiently in the elastic zone of a viscoelastic fracturing fluid than in the viscous zone (<xref ref-type="bibr" rid="B14">Harris et al., 2005</xref>). <xref ref-type="fig" rid="F6">Figure 6</xref> shows the viscoelasticity of the fracturing fluid system as the oscillation frequency. In the figure, G&#x2032; is the storage modulus, which represents the elasticity property of the system. Correspondingly, G&#x2033; is loss modulus, which represents the viscous property of the system. It can be seen that fracturing fluid system is characterized as liquid phase as G&#x2033; is greater than G&#x2032; at low oscillation frequency (<xref ref-type="bibr" rid="B29">Wu et al., 2018b</xref>). The transport of proppant depends on the viscosity characteristics of the system in this case. At high oscillation frequency, the storage modulus G&#x2032; is greater than the loss modulus G&#x2033;, and the system exhibits solid phase properties, and the transport of proppant depends on the elastic characteristics of the system (<xref ref-type="bibr" rid="B23">Rehage and Hoffmann, 1988</xref>; <xref ref-type="bibr" rid="B36">Zhao et al., 2019</xref>). When the oscillation frequency is 1.60&#xa0;Hz, the system storage modulus G&#x2032; is equal to the loss modulus G&#x2033;, and the reciprocal of the oscillation frequency is referred to as the relaxation time, which is 0.63&#xa0;s. In addition, at higher oscillation frequencies, the storage modulus G&#x2032; is basically unchanged, while the loss modulus G&#x2033; decreases first and then increases again with the increase of frequency. This phenomenon is consistent with Maxwell model and is one of the main characteristics of viscoelastic fluids composed of wormlike micelles (<xref ref-type="bibr" rid="B13">Granek and Cates, 1992</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Storage and loss modulus (G&#x2032; &#x26; G&#x2033;) as a function of oscillation frequency for fracturing fluid system.</p>
</caption>
<graphic xlink:href="feart-10-990963-g006.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Temperature-resistance of fracturing fluid system</title>
<p>Due to the geothermal gradient, the fracturing fluid usually faces the challenge of high temperature after being injected into the reservoir. Generally speaking, high temperature will destroy the three-dimensional structure of the worm-like micelles, thereby reducing the viscoelasticity of the fracturing fluid, which directly affects its sand-carrying capacity. During the test, in order to prevent the evaporation of liquid and the overflow of CO<sub>2</sub> under high temperature for a long time, we put the system in a 5&#xa0;MPa CO<sub>2</sub> sealed environment for measurement. The shear rate was stable at 170&#xa0;s<sup>&#x2212;1</sup>. The detailed data was shown in <xref ref-type="fig" rid="F7">Figure 7</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>System viscosity in different temperatures.</p>
</caption>
<graphic xlink:href="feart-10-990963-g007.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F7">Figure 7</xref>, it can be seen that with the increase of temperature, the system viscosity continues to decrease. At room temperature (25&#xb0;C) and 30&#xb0;C, the viscosity is around 170&#xa0;mPa&#xb7;s. When the temperature reached to 40&#xb0;C, the viscosity decreased to 158.024&#xa0;mPa&#xb7;s. Afterwards, with the increase of temperature, the system viscosity would be decrease to 28.974&#xa0;mPa&#xb7;s at 80&#xb0;C. According to the general technical specifications of fracturing fluids (<xref ref-type="bibr" rid="B6">C.N.D.R.C, 2008</xref>), the viscosity of viscoelastic fracturing fluid should be higher than 20&#xa0;mPa&#xb7;s at the shear rate of 170&#xa0;s<sup>&#x2212;1</sup>. As <xref ref-type="fig" rid="F6">Figure 6</xref> shown, the system viscosity meets the requirements at temperatures of 80&#xb0;C or below. That means the systems we developed can withstand temperatures of 80&#xb0;C or even more. There are two points to be noted here. Since the formation temperature of the target formation (Chang 7 block, Ordos basin) is 70&#xb0;C, the temperature resistance of the system meets the requirements of the target formation.</p>
</sec>
<sec id="s3-4">
<title>3.4 Shear-resistance of fracturing fluid system</title>
<p>In the fracturing process, in order to form a high pressure zone near the well in a short time, the fracturing fluid is usually injected into the formation at an extremely high rate. Therefore, the fracturing fluid in the wellbore suffers from extremely high shear rates. For polymer fracturing fluids, the macromolecular chains will break during high-speed shear, thereby permanently reducing the viscosity of the fracturing fluid. The viscoelastic surfactant fracturing fluid is formed by self-assembly of small molecules. Although the viscoelasticity will be reduced at high shear rates, when the shear rate is reduced, small molecules can reassemble to restore viscoelasticity. (<xref ref-type="bibr" rid="B1">Acharya and Kunieda, 2006</xref>; <xref ref-type="bibr" rid="B10">Dreiss, 2007</xref>). Here, we measured the viscosity of the system at a shear rate of 170&#xa0;s<sup>&#x2212;1</sup> and 510&#xa0;s<sup>&#x2212;1</sup>. The results are shown in <xref ref-type="fig" rid="F8">Figure 8</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>System viscosity with different shear rate.</p>
</caption>
<graphic xlink:href="feart-10-990963-g008.tif"/>
</fig>
<p>According to <xref ref-type="fig" rid="F8">Figure 8</xref>, when the initial shear rate is 170&#xa0;s<sup>&#x2212;1</sup>, the viscosity of the system is 156.3&#xa0;mPa&#xb7;s. As the shear rate rose to 510&#xa0;s<sup>&#x2212;1</sup>, the system viscosity increased gradually and on average 78.1&#xa0;mPa&#xb7;s. While the shear rate drops to 170&#xa0;s<sup>&#x2212;1</sup> again, the system viscosity reached to 186.6&#xa0;mPa&#xb7;s. Finally, the shear rate rose to 510&#xa0;s<sup>&#x2212;1</sup>, the system viscosity was stable at 81.6&#xa0;mPa&#xb7;s. The data show that the system will not be destroyed due to the high shear rate, but will cause a slight increase in viscosity. In conclusion, this fracturing fluid has a remarkable self-repairability.</p>
</sec>
<sec id="s3-5">
<title>3.5 Recycling performance of fracturing fluid system</title>
<p>The realization of fracturing fluid recycling is of great significance to control construction cost, reduce water resource waste and environmental pollution. This is also one of our original intentions for this research. In order to achieve this goal, we selected the type of CO<sub>2</sub> sensitizer and further enhanced the degree of CO<sub>2</sub> sensitivity of the system by adding inorganic salts. In theory, when CO<sub>2</sub> is injected into the system, protonation occurs, which causes nonionic amine to become positively charged ammonium ions, and then electrostatic shielding occurs to form wormlike micelles. However, after N<sub>2</sub> is introduced, CO<sub>2</sub> escapes from the system, and ammonium ions in the fracturing fluid are deprotonated to form nonionic amine. Micellar structure is destroyed and viscosity rapidly decreases. When CO<sub>2</sub> is injected again, and protonation makes small molecule amine form ammonium ions again, thus building micelle network structure and forming highly viscous fracturing fluid. We carried out specific experiments based on theoretical analysis, and the results are shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. From the picture, it can be found that after alternating CO<sub>2</sub> and N<sub>2</sub>, the viscosity of the system showed repetitive rise and fall. This shows that our system has nice recyclable performance.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Viscosity of system after circulating into CO<sub>2</sub> and N<sub>2</sub>.</p>
</caption>
<graphic xlink:href="feart-10-990963-g009.tif"/>
</fig>
</sec>
<sec id="s3-6">
<title>3.6 Leak-off characteristic test</title>
<p>In the early stages of fracture formation, leak-off of fracturing fluid through the formation slows down the rate of pressure increase and delays the onset of rock fracture. In addition, leak-off will cause the fracturing fluid to enter the reservoir and have a physical-chemical reaction with the reservoir, leading to changes in the physical properties of the reservoir. Polymer fracturing fluid usually forms a filter cake on the rock surface, thereby delaying or even preventing subsequent fluid loss. Since the clean fracturing fluid is composed of small molecules surfactant, it will not form a filter cake, that is, the fluid loss coefficient is constant. (<xref ref-type="bibr" rid="B4">Barati and Liang, 2014</xref>). The detailed experimental parameters and data was listed in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Leak-off experimental parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Experimental parameters</th>
<th colspan="3" align="left">Numerical value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Core number</td>
<td align="left">L-40-20-1</td>
<td align="left">L-14-2-1</td>
<td align="left">L-20-1-1</td>
</tr>
<tr>
<td align="left">Core length</td>
<td align="left">5.027&#xa0;cm</td>
<td align="left">5.029&#xa0;cm</td>
<td align="left">5.034&#xa0;cm</td>
</tr>
<tr>
<td align="left">Core diameter</td>
<td align="left">2.510&#xa0;cm</td>
<td align="left">2.516&#xa0;cm</td>
<td align="left">2.518&#xa0;cm</td>
</tr>
<tr>
<td align="left">Core cross sectional area</td>
<td align="left">4.946&#xa0;cm<sup>2</sup>
</td>
<td align="left">4.969&#xa0;cm<sup>2</sup>
</td>
<td align="left">4.977&#xa0;cm<sup>2</sup>
</td>
</tr>
<tr>
<td align="left">Core porosity</td>
<td align="left">10.516%</td>
<td align="left">15.228%</td>
<td align="left">15.002%</td>
</tr>
<tr>
<td align="left">Pressure difference</td>
<td align="left">6.895&#xa0;MPa</td>
<td align="left">6.895&#xa0;MPa</td>
<td align="left">6.895&#xa0;MPa</td>
</tr>
<tr>
<td align="left">Water permeability</td>
<td align="left">0.016&#xd7;10<sup>&#x2013;3</sup>&#xa0;&#x3bc;m<sup>2</sup>
</td>
<td align="left">0.120&#xd7;10<sup>&#x2013;3</sup>&#xa0;&#x3bc;m<sup>2</sup>
</td>
<td align="left">2.705&#xd7;10<sup>&#x2013;3</sup>&#xa0;&#x3bc;m<sup>2</sup>
</td>
</tr>
<tr>
<td align="left">Flow rate (25&#xb0;C)</td>
<td align="left">0.051&#xa0;cm<sup>3</sup>/min</td>
<td align="left">0.171&#xa0;cm<sup>3</sup>/min</td>
<td align="left">0.254&#xa0;cm<sup>3</sup>/min</td>
</tr>
<tr>
<td align="left">Flow rate (70&#xb0;C)</td>
<td align="left">0.071&#xa0;cm<sup>3</sup>/min</td>
<td align="left">0.206&#xa0;cm<sup>3</sup>/min</td>
<td align="left">3.728&#xa0;cm<sup>3</sup>/min</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In this research, the filtration volume and time show a linear relationship, and the fluid loss coefficient is constant, which is consistent with the theory that clean fracturing fluid will not form filter cake. Through combining the data in <xref ref-type="table" rid="T2">Table 2</xref> and the related formulas of <xref ref-type="sec" rid="s2-2-3">Section 2.2.3</xref>, the leak-off coefficient of fracturing fluid can be finally computed. According to the results, the leak-off coefficient of L-40-20-1&#xa0;at 25&#xb0;C is 6.740 &#xd7; 10<sup>&#x2013;5</sup>&#xa0;m/s<sup>1/2</sup> and 8.006 &#xd7; 10<sup>&#x2013;5</sup>&#xa0;m/s<sup>1/2</sup>&#xa0;at 70&#xb0;C, while L-14-2-1 is 1.495 &#xd7; 10<sup>&#x2013;4</sup>&#xa0;m/s<sup>1/2</sup>&#xa0;at 25&#xb0;C and 1.619 &#xd7; 10<sup>&#x2013;4</sup>&#xa0;m/s<sup>1/2</sup>&#xa0;at 70&#xb0;C, L-20-1-1 is 1.785 &#xd7; 10<sup>&#x2013;4</sup>&#xa0;m/s<sup>1/2</sup>&#xa0;at 25&#xb0;C and 6.864 &#xd7; 10<sup>&#x2013;4</sup>&#xa0;m/s<sup>1/2</sup>&#xa0;at 70&#xb0;C.</p>
</sec>
<sec id="s3-7">
<title>3.7 Breaking ability test</title>
<p>As we mentioned above, fracturing fluids have sand-carrying function and therefore usually have a certain viscosity. If these fracturing fluids maintain their initial viscosity after entering the formation, they will be difficult to flowback out of the formation and cause significant damage to the formation&#x2019;s permeability. Therefore, the gel breaking performance of the fracturing fluid is directly related to the subsequent crude oil production. Based on this situation, the viscosity of breaking liquid was measured to evaluate the breaking property through the steady shear rheology test in 25&#xb0;C, which was shown in <xref ref-type="fig" rid="F10">Figure 10</xref>. During the test, 10% of kerosene was employed as the breaker.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>System viscosity change before and after breaking.</p>
</caption>
<graphic xlink:href="feart-10-990963-g010.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F10">Figure 10</xref>, the viscosity of the fracturing fluid dropped drastically after adding the breaker, from the initial 1940.275&#xa0;mPa&#xb7;s to 1.225&#xa0;mPa&#xb7;s. The viscosity of the gel breaking fluid meets the specification of the general technical specifications of fracturing fluids (<xref ref-type="bibr" rid="B6">C.N.D.R.C, 2008</xref>) (the viscosity of breaking liquid should be lower than 5&#xa0;mPa&#xb7;s).</p>
</sec>
<sec id="s3-8">
<title>3.8 Core permeability regaining test</title>
<p>After fracturing fluid leak-off to the formation matrix, it will be adsorbed and retained on the pore surface through microscopic forces, which will narrow or even block the subsequent fluid seepage channels. Therefore, the change of fracturing fluid permeability after dynamic fluid loss has important reference significance for oil and gas production after fracturing construction.</p>
<p>From <xref ref-type="table" rid="T3">Table 3</xref>, three low permeability cores both showed damage after filtration. According to the general technical specifications of fracturing fluids (<xref ref-type="bibr" rid="B6">C.N.D.R.C, 2008</xref>), the dynamic filtration damage of viscoelastic fracturing fluid should be lower than 40%, which means this fracturing fluid obviously met the standards. In order to further explore the causes of damage caused by fracturing fluid to the core, we observed the micro morphology of the core before and after the damage, as shown in <xref ref-type="fig" rid="F11">Figure 11</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Core permeability regaining after fracturing fluid treatment.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Core no</th>
<th align="left">Initial permeability (&#xd7;10<sup>&#x2212;3</sup>&#xa0;&#x3bc;m<sup>2</sup>)</th>
<th align="left">Regained permeability (&#xd7;10<sup>&#x2212;3</sup>&#xa0;&#x3bc;m<sup>2</sup>)</th>
<th align="left">Permeability regain (%)</th>
<th align="left">Damage ratio (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">L-40-20-2</td>
<td align="left">0.023</td>
<td align="left">0.017</td>
<td align="left">73.913</td>
<td align="left">26.087</td>
</tr>
<tr>
<td align="left">L-14-2-2</td>
<td align="left">0.029</td>
<td align="left">0.019</td>
<td align="left">65.517</td>
<td align="left">34.483</td>
</tr>
<tr>
<td align="left">H-16-2</td>
<td align="left">3.489</td>
<td align="left">2.962</td>
<td align="left">84.895</td>
<td align="left">15.105</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Scanning electron microscopy (SEM) images of core surfaces: <bold>(A)</bold> before fracturing fluid injection, <bold>(B)</bold> and <bold>(C)</bold> after fracturing fluid injection.</p>
</caption>
<graphic xlink:href="feart-10-990963-g011.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F11">Figure 11A</xref> we can see the core is very clean before contacting with the fracturing fluid, and there is very little impurity except for various minerals. However, after contacting fracturing fluid, some network structures of fracturing fluid adsorption are formed on the surface of core pores (see <xref ref-type="fig" rid="F11">Figure 11B</xref>). Meanwhile, some fracturing fluid is stranded in the small channels (see the red box in <xref ref-type="fig" rid="F11">Figure 11C</xref>). According to SEM images, the adsorption and retention of fracturing fluid in the pore leads to the narrowing of the fluid flow channel and increases the flow resistance, which is manifested as the decrease of permeability at the macro level. However, it should be noted that these adsorption and retention do not significantly reduce the pore radius or even block the pore, so the damage to the core is much lower than that of conventional macromolecular fracturing fluids.</p>
</sec>
<sec id="s3-9">
<title>3.9 Microstructure test</title>
<p>Cryo-transmission electron microscopy (cryo-TEM) technology is employed to explore the mechanism of viscoelasticity of fracturing fluid system. The samples were placed in a low-temperature sample box (Gatan 626), detected by JEOLJEM-1400 Gatan multi-scan CCD, and processed by digital photomicrography. The microstructure of fracturing fluid is shown in the <xref ref-type="fig" rid="F12">Figure 12</xref>. Many of the worm-like substances can be easily observed in the figure. On the microscopic level, these worm-like micelles entangle with each other to form a spatial structure, so that the system exhibits macroscopic viscoelasticity.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Cryo-TEM image of the fracturing fluid system.</p>
</caption>
<graphic xlink:href="feart-10-990963-g012.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Conclusion</title>
<p>In this study, a CO<sub>2</sub> sensitive VES fracturing fluid was first developed. Then the viscoelasticity, temperature resistance, shear resistance and recycling performance of the fracturing fluid were evaluated by rheometer. Furthermore, other key application properties of fracturing fluids including leak-off performance, gel breaking performance and core damage performance were tested. Finally, the microscopic morphology of fracturing fluid was observed by transmission electron microscope. The specific conclusions are as follows:<list list-type="simple">
<list-item>
<p>(1) The new CO<sub>2</sub> sensitive fracturing fluid is composed of 60&#xa0;mmol/L FMES, 60&#xa0;mmol/L triethylenetetramine, 540&#xa0;mmol/L NaCl and water.</p>
</list-item>
<list-item>
<p>(2) After contacting with CO<sub>2</sub>, the three-dimensional structure formed by worm-like micelles in the solution significantly increases the viscosity and viscoelasticity of the fracturing fluid.</p>
</list-item>
<list-item>
<p>(3) The fracturing fluid has strong temperature resistance and shear resistance. The viscosity of fracturing fluid is higher than 20&#xa0;mPa&#xb7;s at 80&#xb0;C.</p>
</list-item>
<list-item>
<p>(4) After the fracturing fluid is cyclically exposed to CO<sub>2</sub> and other gas, the viscosity presents a repeatable rise and fall, which indicates that the fracturing fluid can be recycled after being recovered on the ground.</p>
</list-item>
<list-item>
<p>(5) After being injected into the formation, fracturing fluids can leak-off into the matrix and cause certain damage to the reservoir, while the damage rate is less than 35%.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>BW took the temperature and shear resistance research of the fracturing fluid. XS constructed the fracturing fluid system and took the rheology and microstructure test of the fracturing fluid. CD took the recycling performance and leak-off tests of the fracturing fluid. SH took the breaking ability and core permeability regaining tests. HD tested the viscoelastic performance of fracturing fluid system.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>The work was supported by the National Key Research and Development Project (2019YFA0708700), the National Natural Science Fund of China (51834010, 51874337) and the Key Research Project of Sinopec Petroleum Engineering Company (SG20-16K).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>BW, XS, SH, and HD were employed by Sinopec Matrix 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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