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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1343724</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2023.1343724</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Applicability evaluation of plunger lift technology in shale gas wells</article-title>
<alt-title alt-title-type="left-running-head">Fan et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2023.1343724">10.3389/fenrg.2023.1343724</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Fan</surname>
<given-names>Yu</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xiang</surname>
<given-names>Jianhua</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Bochun</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Jiaxiao</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Mi</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yu</surname>
<given-names>Fan</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2586325/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff>
<institution>Engineering Technology Research Institute of PetroChina Southwest Oil and Gas Field Company</institution>, <addr-line>Chengdu</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/2387578/overview">Hongyan Qu</ext-link>, China University of Petroleum, Beijing, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2592360/overview">Zongxiao Ren</ext-link>, Xi&#x2019;an Shiyou University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2592357/overview">Leilei Zhang</ext-link>, Rice University, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Fan Yu, <email>yu_fan@petrochina.com.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>02</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1343724</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>11</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Fan, Xiang, Li, Chen, Jiang and Yu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Fan, Xiang, Li, Chen, Jiang and Yu</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>The accumulation of liquid in gas wells is a common problem in the later stages of shale gas production. The plunger lift is currently one of the most economically effective methods for removing accumulated liquid in gas wells, but its applicability is not yet clear. This article analyzes the production characteristics of gas wells on-site and summarizes the key indicators for evaluating the plunger lift technology, including casing pressure changes, production changes, liquid column plunger height, tubing-casing pressure differential changes, and differential size of pressure relief. Combined with numerical simulation methods, a complete set of evaluation systems for judging, classifying, and evaluating the effectiveness of plunger lift technology is established, and an evaluation method for the applicability of plunger lift technology is proposed. Taking well Ning 216-H4 as an example, a comprehensive evaluation is made on whether the gas well is suitable for plunger lift based on the height of the liquid column above the plunger, the production effect under pressure, and the overall shut-in time. This method has important guiding significance for the further promotion and application of plunger lift technology in deep wells, directional wells, and horizontal wells to achieve efficient development of natural gas.</p>
</abstract>
<kwd-group>
<kwd>shale gas</kwd>
<kwd>plunger lift</kwd>
<kwd>applicability</kwd>
<kwd>indicators</kwd>
<kwd>evaluation method</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Advanced Clean Fuel Technologies</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Shale gas wells are characterized by low porosity and low permeability, necessitating volume fracturing for industrial gas flow initiation. Given the difficulty in recovering a large volume of fracturing fluid (<xref ref-type="bibr" rid="B16">Meng et al., 2023a</xref>), it is assumed that shale gas wells will produce a certain amount of injected water (<xref ref-type="bibr" rid="B25">Zou et al., 2021</xref>; <xref ref-type="bibr" rid="B15">Meng et al., 2023b</xref>). In the initial production stage, shale gas wells often have high output, but most wells experience a rapid decline in production of 40%&#x2013;80% within a year (<xref ref-type="bibr" rid="B17">Oyewole, 2016</xref>). The production characteristics of high initial output and rapid decline post-fracturing necessitate the use of artificial lift techniques (<xref ref-type="bibr" rid="B9">Kaisare et al., 2013</xref>). For low-producing shale gas wells in the middle and late stages of production, plunger lift can achieve optimal economic benefits (<xref ref-type="bibr" rid="B6">HASSOUNA, 2013</xref>).</p>
<p>The plunger lift is currently one of the most economically effective methods for removing accumulated liquid in gas wells (<xref ref-type="bibr" rid="B3">Chen et al., 2021</xref>), but its applicability is not yet clear (<xref ref-type="bibr" rid="B6">Hassouna, 2013</xref>; <xref ref-type="bibr" rid="B7">Hingerl et al., 2020</xref>), and there are still some challenges in its application in horizontal wells (<xref ref-type="bibr" rid="B19">Sask et al., 2010</xref>).As early as the 1950s, experts and scholars from the United States and the Soviet Union began researching plunger lift. In 1965, Foss and Gaul proposed the classic plunger lift model based on force balance, derived from experience in gas fields, which later influenced most subsequent research (<xref ref-type="bibr" rid="B4">Foss and Gaul, 1965</xref>; <xref ref-type="bibr" rid="B12">Lea, 1982</xref>). <xref ref-type="bibr" rid="B14">Maggard et al. (2000)</xref> established a new dynamic model for plunger lift specifically for tight gas wells, enabling in-depth analysis of the entire gas lift process in such wells. In 2007, plunger lift was applied in 40 tight gas wells in the San Juan Basin&#x2019;s northern area, resulting in an increase in daily production of over 11 &#xd7; 10<sup>4</sup>&#xa0;m<sup>3</sup>/d (<xref ref-type="bibr" rid="B18">Oyewole and Garg, 2007</xref>). Advances in related technologies have greatly expanded the application range of plunger lift technology, especially the rise of gas-assisted-plunger-lift (GAPL) and plunger-assisted-gas lift (PAGL), further extended plunger lift&#x2019;s capabilities in horizontal wells (<xref ref-type="bibr" rid="B2">Burns, 2018</xref>). In 2011, the plunger reached a 74 well inclination in Marcellus shale gas wells, demonstrating the applicability of plunger lift in horizontal wells (<xref ref-type="bibr" rid="B10">Kravits et al., 2011</xref>).</p>
<p>Currently, there is limited research on comprehensive evaluation methods for plunger lift in the industry. <xref ref-type="bibr" rid="B11">Lea et al. (2007)</xref> proposed an empirical method for monitoring plunger movement, liquid column height, and circulation time, optimizing the control parameters of plunger lift. <xref ref-type="bibr" rid="B1">Bello et al. (2011)</xref> developed a simple analysis model for plunger lift systems, assessing the feasibility of the technology. <xref ref-type="bibr" rid="B8">Hosein and Mohammed, (2017)</xref> used the Foss and Gaul model to determine optimal plunger rise speed and gas requirements. <xref ref-type="bibr" rid="B20">Teymourifar and Ozturk (2018)</xref> adopted a neural network heuristic algorithm to solve the production scheduling problem of plunger lift. <xref ref-type="bibr" rid="B13">Liu et al. (2020)</xref> proposed a method to implement a work system according to the average production of plunger lift Wells. <xref ref-type="bibr" rid="B23">Yang et al. (2022)</xref> established an evaluation method of plunger lift application timing, process parameters, and operational regimes in the shenmu Gas Field based on the production situation.</p>
<p>As an economically effective measure for stabilizing production, the plunger lift has been extensively implemented in over 200 wells in Changning Block (<xref ref-type="bibr" rid="B21">Wang et al., 2023</xref>). However, challenges remain, including the dispersion of Plunger lift wells, and a lack of comprehensive evaluation methods. Current practices involve adjusting process parameters based on individual well production without a complete plunger lift applicability evaluation system. Therefore, it is necessary to carry out comprehensive evaluations of plunger lift. This paper summarizes key evaluation indicators for plunger lift based on field production situations, classifies typical field plunger lift wells, and comprehensively evaluates the effectiveness of plunger lift in gas wells.</p>
</sec>
<sec id="s2">
<title>2 Factors influencing plunger lift</title>
<p>Plunger lift propels the plunger up and down, utilizing the well&#x2019;s own energy to expel accumulated liquids and prolong the life of the gas well, thereby effectively restoring gas production. This method is a special form of intermittent gas lifting, primarily powered by formation energy, but can be supplemented by injecting high-pressure gas into the wellbore. The plunger, acting as a solid interface, separates the accumulated liquids above from the gas below, reducing liquid loss and gas channeling, thus improving operational efficiency. Typically, the entire movement process of plunger lift is divided into four stages: plunger descent, pressure recovery, plunger ascent, and sustained production (<xref ref-type="bibr" rid="B24">Zhao et al., 2021</xref>; <xref ref-type="bibr" rid="B22">Xiong et al., 2023</xref>) as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.<list list-type="simple">
<list-item>
<p>(a) Plunger descent</p>
</list-item>
</list>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Four stages of plunger movement.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g001.tif"/>
</fig>
<p>After the end of the sustained production stage, the well is shut in, and the plunger starts to descend from the wellhead under its own gravity. The casing pressure and tubing pressure gradually recover, and the plunger passes through the gas and accumulated liquid, eventually descending to the catcher position. If the pressure recovery meets the requirements at this point, the well is reopened to start a new cycle, otherwise, it enters the pressure recovery stage.<list list-type="simple">
<list-item>
<p>(b) Pressure recovery</p>
</list-item>
</list>
</p>
<p>When the reservoir&#x2019;s liquid and gas supply capacity is low, the plunger should remain on the catcher for a period, allowing the pressure to recover sufficiently to push the plunger from the wellbore to the wellhead. During this stage, oil and gas continue to accumulate around the wellbore, and the energy at the bottom of the well gradually recovers.<list list-type="simple">
<list-item>
<p>(c) Plunger ascent</p>
</list-item>
</list>
</p>
<p>When the casing pressure and tubing pressure recovers to a certain extent, the well is opened for production. The expanded gas in the annulus flows into the tubing, lifting the plunger and the upper liquid column towards the wellhead along with the formation gas until the plunger reaches the wellhead, where it is captured by the wellhead catcher. The liquid column above the plunger completely enters the production pipeline, and the gas well enters the continuous sustained production stage.<list list-type="simple">
<list-item>
<p>(d) Sustained production</p>
</list-item>
</list>
</p>
<p>If the reservoir has sufficient energy, the gas well can be put on intermittent production for a period of time. However, with the production of the gas well, the formation water and accumulated liquid in the annulus gather at the bottom of the well again, causing the well-bottom flow pressure increases continuously. If the gas well energy cannot carry the liquid, it indicates the end of the working cycle.</p>
<p>Key evaluation indicators for plunger lift include casing pressure changes, production variations, plunger height in the liquid segment, changes in tubing-casing pressure differential, and blowdown differential. These indicators are crucial for classifying and evaluating the performance of typical field plunger wells.<list list-type="simple">
<list-item>
<p>(1) Casing Pressure Change after Shut-In</p>
</list-item>
</list>
</p>
<p>The cycle gas production of plunger lift wells increases with casing pressure and the duration of sustained flow after reopening. The higher the set opening casing pressure, the longer the shut-in time required for pressure recovery, resulting in a longer lift cycle. This is partly due to the larger volume of gas needed to achieve higher casing pressures and partly because the pressure difference between the well-bottom flow pressure and the formation pressure decreases at higher casing pressures, slowing the recovery rate.<list list-type="simple">
<list-item>
<p>(2) Plunger Ascent Speed</p>
</list-item>
</list>
</p>
<p>Due to a minimum gap of 1.25&#xa0;mm between the plunger and the tubing wall, liquid loss occurs. The plunger must reach a certain speed during ascent to effectively seal gas and liquid, known as &#x201c;velocity sealing&#x201d;. Numerical simulations indicate that the critical ascent speed to prevent liquid leakage is 3.7&#xa0;m/s (<xref ref-type="bibr" rid="B5">Han, 2016</xref>). If the plunger&#x2019;s ascent speed is too low, gas channeling increases dramatically, reducing production efficiency. Conversely, too high a speed can cause significant liquid leakage, decreasing lifting efficiency.</p>
<p>When the liquid segment plunger reaches the wellhead, the smaller size of the wellhead pipeline compared to the tubing can delay liquid discharge, creating backpressure. The plunger ascent time is from the moment of opening the well until the tubing backpressure returns to atmospheric pressure as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>.<list list-type="simple">
<list-item>
<p>(3) Plunger Descent Speed</p>
</list-item>
</list>
</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Plunger ascent time.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g002.tif"/>
</fig>
<p>During plunger descent, a dynamic fluid level exists in the tubing, so the plunger experiences both falling through gas and liquid phases. Both too fast and too slow descent speeds are detrimental. For wells with inflection points in the pressure recovery curve, the plunger undergoes both descent and settling in the catcher, with the descent time being from shut-in to the inflection point in the pressure recovery curve. For wells without inflection points: slower plunger descent speeds mean the plunger only experiences the descent phase, with the descent time equal to the shut-in duration as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>.<list list-type="simple">
<list-item>
<p>(4) Tubing-Casing Pressure Differential</p>
</list-item>
</list>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Plunger descent time.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g003.tif"/>
</fig>
<p>For plunger lift wells, one method to judge the effectiveness of plunger lifting is to observe whether there is a height of the liquid column above the plunger. Using data from the Ning 209-2well, a &#x201c;WellFlo numerical model&#x201d; was developed to simulate the relationship between tubing-casing pressure differential and liquid column height as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>WellFlo numerical model.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g004.tif"/>
</fig>
<p>Results show that the tubing-casing pressure differential reflects the height of the liquid inside the wellbore (<xref ref-type="fig" rid="F5">Figure 5</xref>). And the difference between &#x201c;opening tubing-casing pressure differential&#x201d; and &#x201c;shut-in tubing-casing pressure differential&#x201d; indicates changes in the height of the liquid column during opening and shut-in.<list list-type="simple">
<list-item>
<p>(5) Pressure relief</p>
</list-item>
</list>
</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Relationship between tubing-casing pressure differential and the height of liquid column above the plunger.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g005.tif"/>
</fig>
<p>The pressure relief is defined as the difference between the &#x201c;tubing pressure in the gas well before opening&#x201d; and the &#x201c;stable production tubing pressure in the gas well after opening.&#x201d; The magnitude of the pressure relief before and after opening reflects the pressure exerted by the gas to push the liquid column above the plunger and is indicative of the pressure recovery during the shut-in period. As a special form of intermittent gas lifting, plunger lift is essentially a high-frequency &#x201c;intermittent production&#x201d; as shown in <xref ref-type="fig" rid="F6">Figure 6</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Pressure relief of gas wells.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g006.tif"/>
</fig>
</sec>
<sec id="s3">
<title>3 Classification method of plunger lift well</title>
<p>For plunger lift wells, the change in tubing-casing pressure differential is an important evaluation indicator for the plunger lift. An important method to determine the effectiveness of plunger lift is to observe the height of the liquid column above the plunger. Classifying based on the liquid column height is not only simple and intuitive, but also has a certain corresponding relationship with the oil tubing-casing pressure differential as shown in <xref ref-type="table" rid="T1">Table 1</xref>. Generally, it is believed that in the case of sufficient gas volume, wells with a liquid column height &#x3e;100&#xa0;m have a better effect in reducing pressure by plunger lift for deliqufication. For wells with a liquid column height of 20&#x2013;100&#xa0;m, plunger lift can have a certain effect in reducing pressure for deliqufication. For wells with a liquid column height &#x3c;20&#xa0;m, plunger lift for deliqufication is ineffective.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Liquid column height corresponding to the tubing-casing pressure differential.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Liquid column height above plunger (m)</th>
<th align="center">Tubing-casing pressure differential before opening (MPa)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">&#x3e;100</td>
<td align="center">&#x3e;1.30</td>
</tr>
<tr>
<td align="center">20&#x2013;100</td>
<td align="center">0.25&#x2013;1.30</td>
</tr>
<tr>
<td align="center">&#x3c;20</td>
<td align="center">&#x3c;0.25</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-1">
<title>3.1 Numerical simulation of annular liquid level height in gas wells</title>
<p>Gas wells produced using plunger lift, during the opening phase, the liquid in the annular enters the tubing, and the high-pressure gas in the annular pushes the plunger upwards, so there is almost no liquid in the annular above the tubing shoe. During the closing phase, gas enters the casing first, and the casing pressure is restored more quickly. Due to the higher liquid column in the tubing compared to the annular, a small amount of liquid enters the annular space, but this can be ignored due to the much smaller cross-sectional area of the tubing compared to the annular. The simulation results of the OLGA software also confirmed that there is almost no liquid in the annular above the tubing shoe during a complete plunger cycle.</p>
<p>To study the variation of liquid level in the tubing-casing annulus during the plunger lift process, an OLGA numerical simulation model was developed based on the basic data from the Ning 209-H2 well, and the simulation of the annular holdup above the tubing shoe was conducted using the OLGA software as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. This well is characterized by dry gas with a natural gas specific gravity of 0.65 and a production rate of 50,000&#xa0;m<sup>3</sup>/d. The reservoir temperature is 107.2&#xb0;C, with a pressure of 62.8&#xa0;MPa. The reservoir depth is 3,988&#xa0;m, the plunger depth is 3,200&#xa0;m, and the simulation covers a 12-day production period.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Profile of wellhead pressure difference in well Ning 209-H2.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g007.tif"/>
</fig>
<p>The OLGA software was used to simulate the liquid holdup above the tubing shoe in the annulus (<xref ref-type="fig" rid="F8">Figure 8</xref>). The results, indicate that there is almost no liquid present in the annular above the tubing shoe throughout a complete plunger cycle. This allows for the calculation of the liquid column height above the plunger.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Simulation results of wellbore holdup by OLGA software.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g008.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Classification results for plunger lift gas wells</title>
<p>At the moment before opening a plunger lift well, the basic pressure relationships within the gas well are as follows: tubing pressure &#x2b; gas column pressure in the tubing &#x2b; liquid column pressure in the tubing &#x3d; casing pressure &#x2b; gas pressure in the casing. Since the heights of the gas and liquid columns in the tubing are unknown, iterative calculations can be performed through programming. An analysis was conducted on 8 field plunger lift gas wells, and the classification results are as presented in the <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Plunger lift well classification results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Well number</th>
<th align="center">Type</th>
<th align="center">Liquid column height/m</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Ning 216-H4</td>
<td align="center">The first class well</td>
<td align="center">157.6083</td>
</tr>
<tr>
<td align="center">Ning 209-H3</td>
<td align="center">The first class well</td>
<td align="center">143.2931</td>
</tr>
<tr>
<td align="center">Ning 209-H6</td>
<td align="center">The second class well</td>
<td align="center">55.7013</td>
</tr>
<tr>
<td align="center">Ning 216-H2</td>
<td align="center">The second class well</td>
<td align="center">27.3072</td>
</tr>
<tr>
<td align="center">Ning 209-H5</td>
<td align="center">The third class well</td>
<td align="center">10.6279</td>
</tr>
<tr>
<td align="center">Ning 209-H11</td>
<td align="center">The third class well</td>
<td align="center">5.8387</td>
</tr>
<tr>
<td align="center">Ning 209-H12</td>
<td align="center">The third class well</td>
<td align="center">6.9664</td>
</tr>
<tr>
<td align="center">Ning 216-H1</td>
<td align="center">The third class well</td>
<td align="center">4.4356</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>4 Plunger lift well comprehensive evaluation method</title>
<sec id="s4-1">
<title>4.1 Evaluation method of plunger lift</title>
<p>The evaluation of the effectiveness of plunger lift technology is mainly based on three aspects: the necessity of plunger lift, the operating conditions of plunger lift, and the deliquification effect of plunger lift technology. By considering the height of the liquid column above the plunger, the production effect under pressure, and the overall shut-in time, a comprehensive evaluation is made on whether a well is suitable for plunger lift technology (<xref ref-type="fig" rid="F9">Figure 9</xref>).<list list-type="simple">
<list-item>
<p>(1) Necessity of plunger lift</p>
</list-item>
</list>
</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Evaluation flow of plunger lift.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g009.tif"/>
</fig>
<p>The necessity of using plunger lift in a shale gas well is determined mainly by the critical gas rate profile. Considering that the field well type is horizontal well, in order to fully consider the influence of well inclination angle, and at the same time ensure the accuracy and practicability, the Wang Zhibin (W.Z.B.) empirical model is selected as the field gas well liquid carrying analysis model to analyze the gas well liquid carrying state and predict the production performance of the gas well.</p>
<p>W.Z.B. model:<disp-formula id="equ1">
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</disp-formula>
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</disp-formula>
<list list-type="simple">
<list-item>
<p>(2) Judgment of plunger operating conditions</p>
</list-item>
</list>
</p>
<p>The judgment of whether the self-conditions of a gas well can ensure the normal operation of plunger lift primarily relies on the reservoir pressure, gas-liquid ratio, and liquid accumulation height. The simulation results of the OLGA software for the failure pressure of gas well plunger lift under different gas-liquid ratios and liquid accumulation heights are shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. Generally, the smaller the gas-liquid ratio and the higher the liquid accumulation height, the more difficult it is to start the well, and the greater the failure pressure of the well. At the same time, at higher liquid accumulation heights, the gas-liquid ratio parameter has a relatively small impact on the well&#x2019;s failure pressure as shown in <xref ref-type="fig" rid="F10">Figure 10</xref>.<list list-type="simple">
<list-item>
<p>(3) Deliquification effect of plunger lift</p>
</list-item>
</list>
</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Failure pressure of plunger lift at different liquid accumulation heights.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g010.tif"/>
</fig>
<p>The plunger lift can reduce slippage losses, improve lifting efficiency, and reduce the waste of gas energy. In a properly operating plunger lift well, during the shut-in phase, gas will preferentially enter the annular space, resulting in a faster recovery of casing pressure compared to tubing pressure. Then, during the opening phase, the high-pressure gas in the annulus drives the plunger and the liquid column upwards. The difference between the &#x201c;tubing pressure in the gas well before opening&#x201d; and the &#x201c;stable production tubing pressure in the gas well after opening&#x201d; is defined as the &#x201c;the pressure relief ", which is used to determine whether the plunger lift technology serves to maintain pressure. The magnitude of the pressure relief before and after opening can reflect the pressure of the gas pushing the liquid column above the plunger (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Calculation results of pressure release difference for each well.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Well number</th>
<th align="center">Tubing pressure before well opening/MPa</th>
<th align="center">Stable production tubing pressure/MPa</th>
<th align="center">The pressure relief/MPa</th>
<th align="center">Whether the suppressed pressure is significant</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Ning 216-H4</td>
<td align="center">5.1</td>
<td align="center">3.5</td>
<td align="center">1.6</td>
<td align="center">No</td>
</tr>
<tr>
<td align="center">Ning 209-H3</td>
<td align="center">3.3</td>
<td align="center">2.1</td>
<td align="center">1.2</td>
<td align="center">No</td>
</tr>
<tr>
<td align="center">Ning 209-H6</td>
<td align="center">5.1</td>
<td align="center">2.8</td>
<td align="center">2.3</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Ning 216-H2</td>
<td align="center">6.2</td>
<td align="center">3.9</td>
<td align="center">2.3</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Ning 209-H5</td>
<td align="center">6.8</td>
<td align="center">4.2</td>
<td align="center">2.6</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Ning 209-H11</td>
<td align="center">6.3</td>
<td align="center">5.1</td>
<td align="center">1.2</td>
<td align="center">No</td>
</tr>
<tr>
<td align="center">Ning 209-H12</td>
<td align="center">4.1</td>
<td align="center">2.3</td>
<td align="center">1.8</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Ning 216-H1</td>
<td align="center">5.9</td>
<td align="center">3.7</td>
<td align="center">2.2</td>
<td align="center">Yes</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to the simulation results of wellFlo software, the tubing-casing pressure differential can reflect the height of the liquid column in the wellbore. Therefore, the plunger lift can be run for one cycle, and the tubing-casing pressure differential before well opening can be used as the basis for judging the liquid column height above the plunger to determine whether the plunger lift plays the role of liquid drainage.</p>
</sec>
<sec id="s4-2">
<title>4.2 Effect evaluation of plunger lift well</title>
<p>Well Ning 216-H4 was selected to evaluate the plunger lift effect, and the evaluation results are as follows:<list list-type="simple">
<list-item>
<p>(1) Necessity of plunger lift</p>
</list-item>
</list>
</p>
<p>Well Ning 216-H4 is a horizontal well with a depth of 4051&#xa0;m and an average gas production of 2.64 &#xd7; 10<sup>4</sup>&#xa0;m<sup>3</sup>/d. The critical gas rate calculated by the W.Z.B. model is 2.58 &#xd7; 10<sup>4</sup>&#xa0;m<sup>3</sup>/d, slightly lower than the production gas rate. The critical liquid accumulation depth is 2,372.48&#xa0;m, with an on-site critical gas rate of 537.80&#xa0;m<sup>3</sup>/d at the danger point as shown in <xref ref-type="fig" rid="F11">Figure 11</xref>.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>W.Z.B. model results.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g011.tif"/>
</fig>
<p>In the 30 days before the plunger lift process was put into operation, the average drainage volume of the well was 24.13&#xa0;m<sup>3</sup>/d, with daily drainage volumes ranging from 1&#xa0;m<sup>3</sup>/d to 52&#xa0;m<sup>3</sup>/d, showing significant fluctuations. Due to the rapid decline in reservoir energy and high water production, there were three instances of needing to resume production using gas lift in the month before the plunger was put into operation, hence the need for plunger lift production as shown in <xref ref-type="fig" rid="F12">Figure 12</xref>.<list list-type="simple">
<list-item>
<p>(2) Judgment of plunger operating conditions</p>
</list-item>
</list>
</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Production in the month before plunger lift.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g012.tif"/>
</fig>
<p>After the implementation of plunger lift, the daily gas production of the well is 1.43 &#xd7; 10<sup>4</sup>&#xa0;m<sup>3</sup>, and the gas-liquid ratio is 1786, showing the characteristic of &#x201c;large gas and large liquid&#x201d;. The calculated liquid column height above the plunger reaches 154.0518&#xa0;m, and the pressure at the end of the tubing is 6.31&#xa0;MPa. Although the liquid column height is high, the energy of plunger lift is sufficient, and the plunger lift process can operate normally. One month after the plunger is put into operation, there is no need for gas lifting to resume production. Liquid column height calculation parameters are shown in <xref ref-type="table" rid="T4">Table 4</xref>.<list list-type="simple">
<list-item>
<p>(3) Deliquification effect of plunger lift</p>
</list-item>
</list>
</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Liquid column height calculation parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Tubing pressure</th>
<th align="center">4.48&#xa0;MPa</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Tubing head gas density</td>
<td align="center">0.0372&#xa0;g/cm3</td>
</tr>
<tr>
<td align="center">Liquid denisty</td>
<td align="center">1&#xa0;g/cm<sup>3</sup>
</td>
</tr>
<tr>
<td align="center">Casing pressure</td>
<td align="center">5.63&#xa0;MPa</td>
</tr>
<tr>
<td align="center">Casing head gas density</td>
<td align="center">0.0723&#xa0;g/cm<sup>3</sup>
</td>
</tr>
<tr>
<td align="center">Tubing depth (TVD)</td>
<td align="center">2506&#xa0;m</td>
</tr>
<tr>
<td align="center">Tubing bottom pressure</td>
<td align="center">6.311&#xa0;MPa</td>
</tr>
<tr>
<td align="center">Tubing gas height</td>
<td align="center">2352&#xa0;m</td>
</tr>
<tr>
<td align="center">Initial liquid height</td>
<td align="center">124&#xa0;m</td>
</tr>
<tr>
<td align="center">Tubing gas column end pressure</td>
<td align="center">4.8018&#xa0;MPa</td>
</tr>
<tr>
<td align="center">Tubing-casing pressure differential</td>
<td align="center">1.15&#xa0;MPa</td>
</tr>
<tr>
<td align="center">Calculated liquid height</td>
<td align="center">154.0518&#xa0;m</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Pressure relief can judge whether the plunger lift plays the role of holding pressure, reflecting the pressure size of the gas pushing the liquid column above the plunger. The tubing-casing pressure differential can reflect the height of the liquid column in the wellbore, and judge whether the plunger lift plays the role of deliquification.</p>
<p>&#x2460;The role of well shut-in pressure holding and intermittent production.</p>
<p>The tubing pressure in Well Ning 216-H4 quickly dropped after opening, and then stabilized. After closing, it instantly recovered some pressure, and then slowly returned to stability. The casing pressure as a whole is basically stable. Before opening, the tubing pressure was 4.48&#xa0;MPa, and after opening, the stable production tubing pressure was 2.87&#xa0;MPa, with a pressure difference of 1.61&#xa0;MPa (<xref ref-type="fig" rid="F13">Figure 13</xref>). After the plunger is inserted, both the tubing pressure and the casing pressure have a certain recovery, with a pressure relief of 1.6&#xa0;MPa, playing a certain role in backpressure, equivalent to high-frequency &#x201c;intermittent production&#x201d;.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Plunger lift production process for gas well Ning 216-H4.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g013.tif"/>
</fig>
<p>From a pressure perspective, both the tubing pressure and the casing pressure have shown some recovery, with a Pressure relief of 1.61&#xa0;MPa before and after opening. One month after the plunger is put into operation, there is no need for gas lift to resume production, greatly saving production costs as shown in <xref ref-type="fig" rid="F14">Figure 14</xref>.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Comparison of production parameters before and after plunger lift.</p>
</caption>
<graphic xlink:href="fenrg-11-1343724-g014.tif"/>
</fig>
<p>In summary, the plunger lift has affected the production efficiency of the gas well, reducing production gas rate but increasing water production, reducing the need for gas lift to resume production, and significantly saving production costs.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>
<list list-type="simple">
<list-item>
<p>(1) This paper analyzes the production characteristics of on-site gas wells and summarizes the key evaluation indicators of plunger lift, including casing pressure changes, production changes, liquid column plunger height, tubing-casing pressure differential changes, and differential size of pressure relief. Combined with numerical simulation methods, a complete set of methods for judging, classifying, and evaluating the effectiveness of plunger lift is proposed.</p>
</list-item>
<list-item>
<p>(2) According to the simulation results of the WellFlo software, the tubing-casing pressure differential can reflect the height of the liquid column in the wellbore, while the difference between the &#x201c;opening tubing-casing pressure differential&#x201d; and the &#x201c;closing tubing-casing pressure differential&#x201d; can reflect the changes in the liquid column height in the wellbore during opening and closing.</p>
</list-item>
<list-item>
<p>(3) The pressure relif is defined as the difference between the &#x201c;tubing pressure in the gas well before opening&#x201d; and the &#x201c;stable production tubing pressure in the gas well after opening.&#x201d; The magnitude of the pressure relif before and after opening can reflect the pressure of the gas driving the liquid column above the plunger and is an indication of pressure recovery during well shut-in.</p>
</list-item>
<list-item>
<p>(4) The holdup rate of the annulus above the tubing shoe was simulated using OLGA software, and it was found that there was almost no liquid present in the annular interface above the tubing shoe during the operation of the plunger lift process. This led to the calculation method for the liquid column height above the plunger: at the moment just before the plunger lift operation, &#x201c;tubing oil pressure &#x2b; gas column pressure inside the tubing &#x2b; liquid column pressure inside the tubing &#x3d; casing pressure &#x2b; gas pressure inside the casing."</p>
</list-item>
<list-item>
<p>(5) An evaluation method for the effectiveness of the plunger lift was proposed, mainly based on the necessity of plunger lift, the judgment of plunger operating conditions and the deliquification effect of plunger lift. Taking well Ning 216-H4 as an example, a comprehensive assessment was made on whether the plunger lift process is suitable for the gas well based on the impact of factors such as the liquid column height above the plunger, shut-in pressure, and the duration of well shut-in.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<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 author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>YF: Writing&#x2013;original draft. JX: Writing&#x2013;original draft. BL: Writing&#x2013;original draft. JC: Writing&#x2013;review and editing. MJ: Writing&#x2013;review and editing. FY: Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work is financial support from National Natural Science Foundation of China (No. 52204059).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>Authors YF, JX, BL, JC, MJ, and FY were employed by Engineering Technology Research Institute of PetroChina Southwest Oil and Gas Field Company.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<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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