<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">ENG</journal-id><journal-title-group><journal-title>Engineering</journal-title></journal-title-group><issn pub-type="epub">1947-3931</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/eng.2023.1511051</article-id><article-id pub-id-type="publisher-id">ENG-129203</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Study on Optimization of Polymer Enhanced Foam Formulation System
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Meinan</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yuejie</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hongyou</surname><given-names>Zhang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xiaoyan</surname><given-names>Yang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xiaoming</surname><given-names>Chen</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Bohai Oilfield Research Institute of CNOOC Ltd.—Tianjin Branch, Tang Gu, Tianjin, China</addr-line></aff><pub-date pub-type="epub"><day>20</day><month>11</month><year>2023</year></pub-date><volume>15</volume><issue>11</issue><fpage>742</fpage><lpage>748</lpage><history><date date-type="received"><day>22,</day>	<month>October</month>	<year>2023</year></date><date date-type="rev-recd"><day>20,</day>	<month>November</month>	<year>2023</year>	</date><date date-type="accepted"><day>23,</day>	<month>November</month>	<year>2023</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Taking the pilot test area of polymer enhanced foam flooding in Y oilfield as the prototype, a numerical core model was established, and the polymer enhanced foam formulation system was optimized by analyzing the resistance factor and the change rule of oil recovery of different formulation systems. Research shows that the higher the polymer concentration, the greater the resistance factor, and the more obvious the sealing effect formed in the formation. The concentration of surfactant has a greater impact on the resistance factor. With the increase of surfactant concentration, the resistance factor increases significantly, and the plugging effect of foam agent on core is significantly enhanced. With the increase of gas-liquid ratio, the resistance factor first increases and then decreases. When the gas-liquid ratio is 1:1, the resistance is the largest, and the foam agent has the strongest plugging effect on the core. The optimal formula system of polymer enhanced foam flooding in Y oilfield is: polymer concentration is 1200 mg/L, surfactant concentration is 0.25
   
  wt%, gas-liquid ratio is 1:1.
 
</p></abstract><kwd-group><kwd>Enhanced Foam</kwd><kwd> Polymer Concentration</kwd><kwd> Surfactant Concentration</kwd><kwd> Gas-Liquid Ratio</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Polymer enhanced foam flooding is a new tertiary oil recovery technology, which plays a very important role in today’s increasingly scarce oil resources and increasingly difficult exploitation [<xref ref-type="bibr" rid="scirp.129203-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref4">4</xref>] . For this reason, scholars at home and abroad have done a lot of indoor experiments and field experiments on foam flooding [<xref ref-type="bibr" rid="scirp.129203-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref8">8</xref>] . The polymer enhanced foam profile control agent is composed of polymer, surfactant and gas CO<sub>2</sub>. The surfactant, as a foaming agent, reacts with gas CO<sub>2</sub> to generate foam. As a foam stabilizer, polymer increases the viscosity of the system, thus improving the stability of foam. The gas liquid ratio determines the foam concentration and migration speed [<xref ref-type="bibr" rid="scirp.129203-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref12">12</xref>] . In this system, the formula combination of surfactant, polymer and gas-liquid ratio is the key to the effect of foam flooding [<xref ref-type="bibr" rid="scirp.129203-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.129203-ref15">15</xref>] . This paper takes the pilot test area of polymer enhanced foam flooding in Y oilfield as the prototype, establishes a numerical core model, analyzes the resistance factor and the change rule of oil recovery of different formula systems, and carries out the optimization study of polymer enhanced foam formula system, which lays the foundation for ensuring the profile control effect.</p></sec><sec id="s2"><title>2. Model Parameter</title><p>Numerical cores are established to simulate polymer enhanced foam flooding. The displacement process is as follows: conduct displacement at the injection rate of 0.7 mL/min, inject 2 PV foam agent after water drive until the pressure is stable, record the pressure difference and calculate the resistance factor after the pressure is stable. Subsequently, water drive to 98% water content and calculate the recovery factor. The model parameters are shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p></sec><sec id="s3"><title>3. Optimization of Polymer Concentration</title><p>Using numerical core simulation schemes 1 to 6 to optimize polymer concentration, the formulas and simulation results of schemes 1 to 6 are shown in <xref ref-type="table" rid="table2">Table 2</xref>.</p><p>According to <xref ref-type="table" rid="table2">Table 2</xref>, plot the curve of resistance factor and recovery rate increase with polymer concentration, as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Model parameter table</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Parameter</th><th align="center" valign="middle" >Value</th></tr></thead><tr><td align="center" valign="middle" >Permeability (10<sup>−</sup><sup>3</sup> μm<sup>2</sup>)</td><td align="center" valign="middle" >47.3</td></tr><tr><td align="center" valign="middle" >Porosity (%)</td><td align="center" valign="middle" >22.7</td></tr><tr><td align="center" valign="middle" >Model dimension (cm &#215; cm &#215; cm)</td><td align="center" valign="middle" >3 &#215; 3 &#215; 60</td></tr><tr><td align="center" valign="middle" >Oil saturation</td><td align="center" valign="middle" >0.69</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Formulas and simulation results for schemes 1 to 6</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Scheme</th><th align="center" valign="middle" >Polymer concentration (mg/L)</th><th align="center" valign="middle" >Surface active agent concentration (wt%)</th><th align="center" valign="middle" >Gas-liquid ratio</th><th align="center" valign="middle" >Resistance factor</th><th align="center" valign="middle" >Recovery rate improvement value (%)</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >600</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >25.36</td><td align="center" valign="middle" >5.33</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >800</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >28.22</td><td align="center" valign="middle" >6.15</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >1000</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >31.34</td><td align="center" valign="middle" >8.23</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >33.83</td><td align="center" valign="middle" >9.62</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >1400</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >34.96</td><td align="center" valign="middle" >10.25</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >1600</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >35.35</td><td align="center" valign="middle" >10.54</td></tr></tbody></table></table-wrap><p>From <xref ref-type="table" rid="table2">Table 2</xref> and <xref ref-type="fig" rid="fig1">Figure 1</xref>, it can be seen that the higher the polymer concentration, the greater the resistance factor. When the polymer concentration exceeds 1200 mg/L, the increase in resistance factor slows down. The higher the polymer concentration, the greater the recovery rate. When the polymer concentration exceeds 1200 mg/L, the increase in recovery rate slows down. Therefore, the optimal polymer concentration is chosen as 1200 mg/L.</p><p>The higher the polymer concentration, the greater the viscosity of displacement fluid, the more obvious the strengthening effect on foam, the lower the natural defoaming speed of foam, and the higher the foam concentration, the greater the viscosity of foam system, the greater the resistance factor, and the more obvious the plugging effect formed in the formation. At the same time, with the increase of the viscosity of the foam system, the mobility ratio of oil to displacement agent increases, which is more conducive to the flow of oil, slows down the flow of displacement agent, and the water content at the outlet end decreases, so the recovery factor increases. But as the polymer concentration increases, the increase in resistance factor and recovery rate slows down.</p></sec><sec id="s4"><title>4. Optimization of Surfactant Concentration</title><p>Using numerical core simulation schemes 7 to 12, optimize the concentration of surfactants. The formulas and simulation results of schemes 7 to 12 are shown in <xref ref-type="table" rid="table3">Table 3</xref>.</p><p>According to <xref ref-type="table" rid="table3">Table 3</xref>, plot the curve of resistance factor and recovery rate increase with surfactant concentration, as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><p>It can be seen from <xref ref-type="table" rid="table3">Table 3</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref> that the concentration of surfactant has a greater impact on the resistance factor. With the increase of the concentration of surfactant, the resistance factor increases from 33.83 to 66.40, and the plugging effect of foam agent on the core is significantly enhanced. When the concentration of surfactant is 0.25 wt%, the resistance factor and recovery factor increase the most. Therefore, the optimal concentration of surfactant is 0.25 wt%.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Formulation and simulation results of schemes 7 to 12</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Scheme</th><th align="center" valign="middle" >Polymer concentration (mg/L)</th><th align="center" valign="middle" >Surface active agent concentration (wt%)</th><th align="center" valign="middle" >Gas-liquid ratio</th><th align="center" valign="middle" >Resistance factor</th><th align="center" valign="middle" >Recovery rate improvement value (%)</th></tr></thead><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.10</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >33.83</td><td align="center" valign="middle" >8.23</td></tr><tr><td align="center" valign="middle" >8</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >36.38</td><td align="center" valign="middle" >10.37</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.20</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >48.45</td><td align="center" valign="middle" >15.65</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >61.05</td><td align="center" valign="middle" >18.92</td></tr><tr><td align="center" valign="middle" >11</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.30</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >65.25</td><td align="center" valign="middle" >20.15</td></tr><tr><td align="center" valign="middle" >12</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >66.40</td><td align="center" valign="middle" >20.56</td></tr></tbody></table></table-wrap><p>Surfactant plays a foaming role in the foam system. The higher the concentration, the greater the foam generation speed, the stronger the foaming ability, the stronger the plugging ability, and therefore the greater the resistance factor. When the concentration of surfactant is less than 0.25 wt%, the resistance factor changes greatly, indicating that the concentration of surfactant has a significant impact on foaming ability at this time. When the concentration of surfactant exceeds 0.25 wt%, the change in resistance factor is relatively small, indicating that when the concentration of surfactant reaches a certain value, the foaming ability tends to stabilize. At the same time, with the increase of surfactant concentration, the foam volume is larger, the viscosity of foam system is increased, and the mobility ratio of oil and displacement agent is increased, which is more conducive to the flow of oil, slows down the flow of displacement agent, and the water content at the outlet end decreases, so the recovery factor is increased. But with the increase of surfactant concentration, the change in resistance factor is no longer significant, and the increase in recovery rate slows down.</p></sec><sec id="s5"><title>5. Optimization of Gas-Liquid Ratio</title><p>Using numerical core simulation schemes 13 to 17 for gas-liquid ratio optimization. The formulas and simulation results of schemes 13 to 17 are shown in <xref ref-type="table" rid="table4">Table 4</xref>.</p><p>According to <xref ref-type="table" rid="table4">Table 4</xref>, plot the curve of resistance factor and recovery rate increase with gas-liquid ratio, as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>.</p><p>It can be seen from <xref ref-type="table" rid="table4">Table 4</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref> that the gas-liquid ratio has a greater impact on the resistance factor. With the increase of the gas-liquid ratio, the resistance factor increases first and then decreases. When the gas-liquid ratio is 1:1, the resistance is the largest. Foam agent has the strongest plugging effect on the core, and the recovery factor is also the largest at this time. Therefore, the optimal gas-liquid ratio is 1:1.</p><p>The gas-liquid ratio is a direct factor affecting the amount of foam generated, thus affecting the seepage resistance of foam fluid in porous media. When the gas-liquid ratio is less than 1:1, with the increase of the gas-liquid ratio, the production of foam sharply increases, the plugging ability increases, the resistance factor increases, and the viscosity of the foam system increases, the mobility ratio of oil and displacement agent increases, the water cut decreases, and the oil recovery increases. However, when the gas-liquid ratio is greater than 1:1, the resistance factor of foam decreases. This is because when the gas-liquid ratio increases</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Formulation and simulation results of schemes 13 to 17</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Scheme</th><th align="center" valign="middle" >Polymer concentration (mg/L)</th><th align="center" valign="middle" >Surface active agent concentration (wt%)</th><th align="center" valign="middle" >Gas-liquid ratio</th><th align="center" valign="middle" >Resistance factor</th><th align="center" valign="middle" >Recovery rate improvement value (%)</th></tr></thead><tr><td align="center" valign="middle" >13</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >1:3</td><td align="center" valign="middle" >30.56</td><td align="center" valign="middle" >7.48</td></tr><tr><td align="center" valign="middle" >14</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >1:2</td><td align="center" valign="middle" >51.36</td><td align="center" valign="middle" >13.88</td></tr><tr><td align="center" valign="middle" >15</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >1:1</td><td align="center" valign="middle" >61.05</td><td align="center" valign="middle" >18.92</td></tr><tr><td align="center" valign="middle" >16</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >2:1</td><td align="center" valign="middle" >48.34</td><td align="center" valign="middle" >15.57</td></tr><tr><td align="center" valign="middle" >17</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >3:1</td><td align="center" valign="middle" >28.15</td><td align="center" valign="middle" >9.98</td></tr></tbody></table></table-wrap><p>to a certain value, the gas viscosity is much smaller than the liquid, and its propulsion speed is higher than the liquid, which is not conducive to the gas-liquid mixing in the foam system, and cannot form a stable injection production pressure difference. At the same time, with the increase of the gas-liquid ratio, the gas channeling phenomenon is obvious, which reduces the plugging ability of foam, so the resistance factor decreases sharply and the recovery factor decreases.</p></sec><sec id="s6"><title>6. Conclusions</title><p>1) The higher the polymer concentration, the greater the resistance factor. When the polymer concentration exceeds 1200 mg/L, the increase in resistance factor slows down. The higher the polymer concentration, the greater the recovery rate. When the polymer concentration exceeds 1200 mg/L, the increase in recovery rate slows down. Therefore, the optimal polymer concentration is chosen as 1200 mg/L.</p><p>2) The concentration of surfactant has a greater impact on the resistance factor. With the increase of surfactant concentration, the resistance factor increases from 33.83 to 66.40. The plugging effect of foam agent on the core is significantly enhanced. When the concentration of surfactant is 0.25 wt%, the resistance factor and recovery factor increase the most. Therefore, the optimal surfactant concentration is 0.25 wt%.</p><p>3) The gas-liquid ratio has a greater impact on the resistance factor. With the increase of gas-liquid ratio, the resistance factor first increases and then decreases. When the gas-liquid ratio is 1:1, the resistance is the largest. The foam agent has the strongest plugging effect on the core, and the recovery factor is the largest at this time. Therefore, the optimal gas-liquid ratio is 1:1.</p><p>4) The optimal formulation system of polymer enhanced foam in Y oilfield is: polymer concentration is 1200 mg/L, surfactant concentration is 0.25 wt%, and gas-liquid ratio is 1:1.</p></sec><sec id="s7"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s8"><title>Cite this paper</title><p>Wang, M.N., Wang, Y.J., Zhang, H.Y., Yang, X.Y. and Chen, X.M. (2023) Study on Optimization of Polymer Enhanced Foam Formulation System. Engineering, 15, 742-748. https://doi.org/10.4236/eng.2023.1511051</p></sec></body><back><ref-list><title>References</title><ref id="scirp.129203-ref1"><label>1</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Jiang</surname><given-names> C.Y. </given-names></name>,<etal>et al</etal>. 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