<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="review-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<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">738668</article-id>
<article-id pub-id-type="doi">10.3389/feart.2021.738668</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Methods</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The Main Controlling Factors and Evaluation Method of the Reservoir Stimulation Potential: A Case Study of the Changning Shale Gas Field, Southern Sichuan Basin, SW China</article-title>
<alt-title alt-title-type="left-running-head">Shen et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Reservoir Stimulation Potential Evaluation</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Shen</surname>
<given-names>Cheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1401694/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Jinzhou</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xie</surname>
<given-names>Jun</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fu</surname>
<given-names>Yongqiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Jianfa</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Lan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Southwest Oil and Gas Field Company, PetroChina, <addr-line>Chengdu</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, <addr-line>Chengdu</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>China National Petroleum Corporation, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1335100/overview">Gang Lei</ext-link>, King Fahd University of Petroleum and Minerals, Saudi Arabia</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/920453/overview">Kaiqiang Zhang</ext-link>, Imperial College London, United&#x20;Kingdom</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1438497/overview">Nai Cao</ext-link>, Sinopec Research Institute of Petroleum Engineering (SRIPE), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Cheng Shen, <email>shenc_victor@163.com</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>05</day>
<month>11</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>738668</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>09</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Shen, Zhao, Xie, Fu, Wu and Ren.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Shen, Zhao, Xie, Fu, Wu and Ren</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Based on logging, seismic, fracturing and production data from 301 productive wells in Longmaxi Formation in Changning shale gas field of southern Sichuan basin, the various influence factors of shale gas stimulated potential have been analyzed to carry out the correlation study with estimated ultimate recovery (<italic>EUR</italic>) of the same fracturing operation intensity to fully clarify the main controlling factors for shale gas stimulated potential. The results show that matrix brittleness, fracture propagation and reservoir properties are the 3 key secondary potentials that control shale gas stimulation potential. The matrix brittleness is controlled by elastic modulus, Poisson&#x2019;s ratio, Type I and II fracture toughness, which reflects the uniformity of hydraulic fracture propagation. Fracture propagation is controlled by critical net pressure, which reflects the scale of hydraulic fracture propagation. Reservoir properties are controlled by porosity, total organic carbon content (<italic>TOC</italic>) and horizontal interval differences, which reflect the enrichment conditions and dynamic production capacity of reservoir resources. The matrix brittleness index, fracture propagation index, reservoir properties index and their combined stimulated potential index were formed by using the above 7 parameters to verify and apply the wells in Changning shale gas field. Results show that the matrix brittleness index and length-width ratio of hydraulic fracture was significantly negative correlation, the fracture propagation index and stimulated reservoir volume (<italic>SRV</italic>) were significantly positive correlation, stimulated potential index was developed taking into account enrichment &#x26; exploitation potential. In areas where the value is greater than 0.5, increasing the fracturing scale can effectively improve the well productivity; in areas less than 0.5, increasing the fracturing scale has an upper limit on the increase of productivity, so the physical properties of the reservoir itself play a significant role in controlling the production of shale gas&#x20;wells.</p>
</abstract>
<kwd-group>
<kwd>shale gas</kwd>
<kwd>stimulated potential</kwd>
<kwd>matrix brittleness</kwd>
<kwd>fracture propagation</kwd>
<kwd>enrichment and exploitation</kwd>
<kwd>main factors</kwd>
<kwd>evaluation method</kwd>
<kwd>changning shale gasfield</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>For thick shales with stable sedimentary structures condition and continuous distribution in North America, such as Barnett, Utica, Marcellus and Eagle Ford, it is necessary to obtain large enough reservoir stimulated volume (SRV) through hydraulic fracturing of horizontal Wells to achieve resource production (<xref ref-type="bibr" rid="B52">Zhao et&#x20;al., 2018</xref>). However, such as the Haynesville shale in North America and the southern Sichuan Basin in China with larger burial depth, more complex seepage law and large <italic>in-situ</italic> stress difference, only aiming to obtain larger SRV can no longer guarantee that the larger SRV in the region or area can obtain higher productivity (<xref ref-type="bibr" rid="B33">Shen et&#x20;al., 2021</xref>). Numerical simulation studies show that the maximum distance that the fluid in the matrix of shale gas reservoir can fully flow within 10&#x20;years is 7&#x2013;10&#xa0;m in the radius (<xref ref-type="bibr" rid="B24">Ma, 2021</xref>), the degree to which hydraulic fractures interactive with natural fractures to form complex fracture network directly determines whether the gas well can be produced for a long time. It is crucial to evaluate the complexity of hydraulic fractures. Therefore, different evaluation theories and methods have been formed, including concept evaluation using brittle mineral mass fraction (<xref ref-type="bibr" rid="B29">Rickman et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B30">Rybacki et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B38">Tang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B16">Kumar et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B31">Arijit and Milan, 2019</xref>; <xref ref-type="bibr" rid="B1">Ayyaz et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B40">Vafaie and Rahimzadeh Kivi, 2020</xref>); emphasized the influence of natural weak plane, and established the three-dimensional evaluation method of natural weak surface through sedimentary facies-control theory (<xref ref-type="bibr" rid="B6">Fu et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B8">Geng et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B26">Ou and Li, 2017</xref>; <xref ref-type="bibr" rid="B47">Yi et al., 2019</xref>); evaluation of rock stress-strain properties based on experiments (<xref ref-type="bibr" rid="B15">Jin et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B9">Govindarajan et&#x20;al., 2017</xref>); evaluation of the potential of forming three-dimensional maps based on rock and fracture mechanics (<xref ref-type="bibr" rid="B48">Yuan et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B14">Ji et&#x20;al., 2019</xref>); A brittleness ductility evaluation method considering the effect of burial depth changes in ancient and modern times (<xref ref-type="bibr" rid="B49">Yuan et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B10">He et&#x20;al., 2019</xref>); Coupling evaluation of mineral and rock mechanics which carried out with consideration of petrophysical fabric (<xref ref-type="bibr" rid="B23">Liu and Sun, 2015</xref>); The potential evaluation method considered stress state at fracture interaction (<xref ref-type="bibr" rid="B42">Wang H. et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B43">Wang S. et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B37">Sheng and Li, 2016</xref>; <xref ref-type="bibr" rid="B19">Liu et&#x20;al., 2019</xref>); A superposition evaluation method considering multiple factors was established (<xref ref-type="bibr" rid="B39">Tang et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B53">Zhao et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B3">Chen et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B4">Cui et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B32">Shen et&#x20;al., 2017</xref>). From the perspective of engineering, some scholars proposed that stage length, operation (net) pressure, well (segment, cluster) spacing, fracturing fluid scale and performance, pumping rate and proppant dosage can also be used as evaluation indexes (<xref ref-type="bibr" rid="B51">Zhao et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B13">Huang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B18">Liao and Lu, 2018</xref>).</p>
<p>Practice shows that it is insufficient to use single factor to analyze the stimulation effect of gas wells, and even in Changning gas field and Jiaoshiba gas field in south China, the phenomenon that the higher the brittle mineral mass fraction is, the lower the production is. The main controlling factors are seldom analyzed and comprehensive evaluation methods are established by using multi-factor analysis. More importantly, static geological parameters are mostly taken as the index and the test yeild as the target in evaluation, and static parameters are considered to directly control the productivity of gas wells. Rock mechanics, fracture mechanics and geomechanical parameters are not fully considered, and the main controlling factors of cumulative production in different production stages of gas wells are not analyzed. Therefore, under the same technology conditions and stimulated intensity, it is necessary to comprehensively evaluate whether shale gas reservoirs can form large enough SRV and complex fracture network and achieve stimulated potential of commercial productivity, so as to form a comprehensive geological evaluation system with shale gas quality and fracturing quality as the core (<xref ref-type="bibr" rid="B12">Hou et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B24">Ma., 2021</xref>).</p>
<p>To solve the problems above, this study took the shale gas of 1st member of Longmaxi Formation in Changning gas field, southern Sichuan Basin, China as an example. Based on a large number of well testing, monitoring and productive data, the key factors affecting reservoir stimulated potential were analyzed, and the main controlling factors affecting SRV, fracture complexity and gas well productivity were selected to provide the basis for shale gas geological engineering double sweet spot optimization and targeted fracturing parameter combination system.</p>
</sec>
<sec id="s2">
<title>Geological Setting and Productive Situation</title>
<p>There are six sets of shale formations widely distributed in Sichuan Basin, among which the Qiongzhusi Formation and Longmaxi Formation are favorable strata for marine shale exploration and development. At present, the main exploration and development target is Longmaxi Formation, which is a set of organic-rich black shale deposited in deep water shelf facies. From the southwest to the northeast, it mainly includes the Changning-Weiyuan demonstration area and the Luzhou-West Chongqing deep evaluation area, with the burial depth gradually transitioning from 2000&#x2013;3500&#xa0;m to 3,500&#x2013;4500&#xa0;m, and the reservoir thickness is about 30&#x2013;210&#xa0;m. Among them, the main producing layers are located in the Wufeng Formation and the 1st sub-member of the 1st member of Longmaxi Formation, with a thickness of about 30&#x2013;60&#xa0;m, and the high quality shale is about 5&#x2013;20&#xa0;m thick (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>). From bottom to top, it is subdivided into five sub-layers, namely, Wufeng Formation, L1<sub>1</sub>
<sup>1</sup>, L1<sub>1</sub>
<sup>2</sup>, L1<sub>1</sub>
<sup>3</sup> and L1<sub>1</sub>
<sup>4</sup>. The overlying stratum is sand and mudstone of Long1<sub>2</sub>, and the underlying stratum is nodular limestone of Linxiang Formation. Total organic carbon content (<italic>TOC</italic>) of the reservoir is about 2.6&#x2013;5.3%, with an average of 3.6%. The porosity is about 3.7&#x2013;7.9%, with an average of 4.4%. The mass fraction of siliceous minerals (quartz, feldspar) is 22.8&#x2013;80.6%, with an average of 48.7%. The mass fraction of carbonate minerals (calcite and dolomite) is about 0&#x2013;27.8%, with an average of 13.8%. The mass fraction of clay minerals (kaolinite and illite) is about 24&#x2013;40%, with an average of 26.7%. The elastic modulus was about 12.6&#x2013;55.8&#xa0;GPa, with an average of 34.6&#xa0;GPa. Poisson&#x2019;s ratio was about 0.14&#x2013;0.31, with an average of 0.21; The minimum horizontal principal stress is about 55&#x2013;95&#xa0;MPa, with an average of 81&#xa0;MPa. The horizontal principal stress difference is about 8&#x2013;20MPa, with an average of 12.6&#xa0;MPa.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Map showing the high-quality reservoir thickness of the 1st member of Longmaxi Formation, and locations of sampling well and its comprehensive stratigraphic column.</p>
</caption>
<graphic xlink:href="feart-09-738668-g001.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Data and Methods</title>
<sec id="s3-1">
<title>Data Sources</title>
<p>The data in this paper focus on logging interpretation, seismic interpretation, fracturing operation and dynamic monitoring data of 161 horizontal wells in the 1<sup>st</sup> Member of Longmaxi Formation in Changning shale gas field. The logging interpretation data includes well path, reservoir property, rock mechanics, <italic>in-situ</italic> stress, the seismic interpretation data include the occurrence of natural fracture zone, the fracturing operation data include single well fracturing stage length, liquid and proppant strength, pumping rate, the dynamic monitoring data include micro-seismic monitoring results, test and cumulative production, EUR, which provide basic data for the study of the main controlling factors of shale gas well stimulation potential.</p>
</sec>
<sec id="s3-2">
<title>Methods for Factors</title>
<p>The study first extracted the required source factors (SF) and their derived factors (DF) as much as possible through logging and seismic interpretation data, which can be divided into matrix brittleness (MB), fracture propagation (FP) and reservoir properties (RP) (<xref ref-type="table" rid="T1">Table&#x20;1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Stimulation effect influencing factors and their calculating formulas.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Factors</th>
<th colspan="2" align="left">Key formula</th>
<th align="left">Reference</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="left">Matrix Brittleness (MB)</td>
<td rowspan="4" align="left">SF</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Si</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;a</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>DEN</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>b</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>CNL</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>c</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>KTH</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>d</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
<td rowspan="4" align="left">
<xref ref-type="bibr" rid="B46">Yang et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B53">Zhao et&#x20;al., 2015</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;a</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>DEN</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>b</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>CNL</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>c</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>KTH</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>d</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>POR</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>e</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>sh</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:msub>
<mml:mtext>I</mml:mtext>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msup>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:msup>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td align="left">
<italic>V</italic>
<sub>Total</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Total</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>&#xa0;V</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>Si</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td rowspan="4" align="left">DF</td>
<td align="left">
<italic>E</italic>
<sub>
<italic>dyn</italic>
</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mrow>
<mml:mtext>sat</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mtext>m</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mrow>
<mml:mtext>sat</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mrow>
<mml:mtext>dry</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mtext>m</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mrow>
<mml:mtext>dry</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mtext>f</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3d5;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mtext>m</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mtext>f</mml:mtext>
</mml:msub>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mtext>G</mml:mtext>
<mml:mrow>
<mml:mtext>sat</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>G</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>dry</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B41">Voigt Crystal physics[M], 1928</xref>; <xref ref-type="bibr" rid="B28">Reuss, 1929</xref>; <xref ref-type="bibr" rid="B11">Hill, 1952</xref>; <xref ref-type="bibr" rid="B45">Xu et&#x20;al., 1995</xref>; <xref ref-type="bibr" rid="B7">Gassmann, 1951</xref>; <xref ref-type="bibr" rid="B17">Kuster and Toks&#xf6;z, 1974</xref>; <xref ref-type="bibr" rid="B2">Biot, 1956</xref>; <xref ref-type="bibr" rid="B25">Mavko et&#x20;al., 1998</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>
<inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:mfrac>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msubsup>
<mml:mtext>t</mml:mtext>
<mml:mtext>p</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>4</mml:mn>
<mml:mn>3</mml:mn>
</mml:mfrac>
<mml:mtext>&#x3bc;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mfrac>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msubsup>
<mml:mtext>t</mml:mtext>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;&#x3bc;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mtext>&#x3c1;v</mml:mtext>
</mml:mrow>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mfrac>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>p</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>p</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c5;</mml:mtext>
<mml:mtext>o</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>p</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>p</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mtext>v</mml:mtext>
<mml:mtext>s</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td align="left">
<italic>K</italic>
<sub>
<italic>I</italic>
</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mtext>I</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.2856</mml:mn>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.086</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mtext>Clay</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.2771</mml:mn>
<mml:mi>lg</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>A</mml:mtext>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.6284</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mtext>IC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mtext>I</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B14">Ji et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B36">Shen et&#x20;al., 2020a</xref>; <xref ref-type="bibr" rid="B34">Shen et&#x20;al., 2020b</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>K</italic>
<sub>
<italic>II</italic>
</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mtext>II</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.9352</mml:mn>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.0954</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mtext>Clay</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.2154</mml:mn>
<mml:mi>lg</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>A</mml:mtext>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>6.6481</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mtext>IIC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mtext>II</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td rowspan="10" align="left">Fracture Propagation (FP)</td>
<td rowspan="4" align="left">SF</td>
<td align="left">
<italic>&#x3b2;</italic>
</td>
<td align="left">Identification by seismic interpretation map</td>
<td rowspan="5" align="left">
<xref ref-type="bibr" rid="B27">Ren et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B22">Liu and Song, 2017</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>v</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mtext>0</mml:mtext>
<mml:mtext>H</mml:mtext>
</mml:msubsup>
<mml:mrow>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mtext>z</mml:mtext>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>g</mml:mi>
<mml:mo>&#x2146;</mml:mo>
<mml:mtext>z</mml:mtext>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>H</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mfrac>
<mml:mtext>&#x3bd;</mml:mtext>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#x3bd;</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>h</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mfrac>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<inline-formula id="inf17">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>h</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mfrac>
<mml:mtext>&#x3bd;</mml:mtext>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#x3bd;</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>h</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td rowspan="6" align="left">DF</td>
<td align="left">
<italic>&#x3b8;</italic>
</td>
<td align="left">Identification by seismic interpretation map and well path</td>
</tr>
<tr>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>H</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>&#x3c3;</mml:mtext>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<xref ref-type="bibr" rid="B51">Zhao et&#x20;al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf19">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mtext>W</mml:mtext>
<mml:mrow>
<mml:mtext>NF</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;a</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Si</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>b</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>c</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Clay</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>d</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
<td rowspan="4" align="left">
<xref ref-type="bibr" rid="B35">Shen et&#x20;al. (2019)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf20">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mtext>W</mml:mtext>
<mml:mrow>
<mml:mtext>LM</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;a</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Si</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>b</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mrow>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>c</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td align="left">
<italic>P</italic>
<sub>p</sub>
</td>
<td align="left">
<inline-formula id="inf21">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mtext>n</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>v</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
</mml:mtd>
<mml:mtd>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>H</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
</mml:mtd>
<mml:mtd>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>h</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mover accent="true">
<mml:mtext>n</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mtext>T</mml:mtext>
</mml:msup>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf22">
<mml:math id="m22">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mtext>n</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">
<inline-formula id="inf23">
<mml:math id="m23">
<mml:mrow>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>H</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>h</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mtext>o</mml:mtext>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>H</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>h</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mtext>o</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mtext>nf</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf24">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mi>net</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td rowspan="5" align="left">Reservoir Properties (RP)</td>
<td rowspan="3" align="left">SF</td>
<td align="left">
<italic>POR</italic>/<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf25">
<mml:math id="m25">
<mml:mrow>
<mml:mtext>POR</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;a</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>AC</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>b</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>DEN</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>c</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>lg</mml:mi>
<mml:mtext>U</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>d</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
<td rowspan="5" align="left">
<xref ref-type="bibr" rid="B50">Zhao et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B54">Zhong et&#x20;al., 2020</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>TOC</italic>/<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>
<inline-formula id="inf26">
<mml:math id="m26">
<mml:mrow>
<mml:mtext>TOC</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;a</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>lg</mml:mi>
<mml:mtext>U</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>b</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>DEN</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>c</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</italic>
</td>
</tr>
<tr>
<td align="left">
<italic>D</italic>
<sub>A</sub>, <italic>D</italic>
<sub>B</sub>
</td>
<td align="left">Read by logging interpretation while drilling</td>
</tr>
<tr>
<td rowspan="2" align="left">DF</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub> &#x3d; <italic>Gas</italic>
<sub>F</sub> &#x2b; <italic>Gas</italic>
<sub>A</sub>
</td>
</tr>
<tr>
<td align="left">&#x394;<italic>D</italic>
</td>
<td align="left">&#x394;<italic>D</italic>&#x20;&#x3d; <italic>D</italic>
<sub>A</sub>&#x2212;<italic>D</italic>
<sub>B</sub>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source factors refer to the inherent geological parameters due to the comprehensive action of shale gas reservoir deposition, diagenesis and structure. They include mass fraction of siliceous minerals (V<sub>Si</sub>), mass fraction of carbonate minerals (V<sub>Ca</sub>), mass fraction of clay minerals (V<sub>Clay</sub>), vertical stress (&#x3c3;<sub>v</sub>), maximum horizontal principal stress (&#x3c3;<sub>H</sub>), minimum horizontal principal stress (&#x3c3;<sub>h</sub>), azimuth Angle (&#x3b2;), porosity (POR) and TOC (TOC).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Derived factors refer to all kinds of parameters that are combined with source factors or represent reservoir geological characteristics indirectly. They include dynamic modulus of elasticity (<italic>E</italic>
<sub>dyn</sub>), Poisson&#x2019;s ratio (<italic>&#x3bd;</italic>), the total brittleness mineral mass fraction (<italic>V</italic>
<sub>Total</sub>), type I fracture toughness (<italic>K</italic>
<sub>I</sub>) and type II fracture toughness (<italic>K</italic>
<sub>II</sub>), natural fracture belt approaching angle (<italic>&#x3b8;</italic>), <italic>in-situ</italic> stress difference (&#x394;<italic>&#x3c3;</italic>), micro natural fracture development index (<italic>W</italic>
<sub>NF</sub>), micro bedding development index (<italic>W</italic>
<sub>LM</sub>), the fracture pressure (<italic>P</italic>
<sub>p</sub>), critical net pressure (<italic>P</italic>
<sub>net</sub>), free gas volume (<italic>Gas</italic>
<sub>F</sub>), absorbed gas volume (<italic>Gas</italic>
<sub>A</sub>), vertical depth at the starting point (<italic>D</italic>
<sub>A</sub>) and ending point (<italic>D</italic>
<sub>B</sub>) of horizontal well fracturing stage, total gas content (<italic>Gas</italic>
<sub>T</sub>), vertical depth difference of horizontal well (&#x394;<italic>D</italic>, <italic>D</italic>
<sub>A</sub> is always subtracted from <italic>D</italic>
<sub>B</sub> to obtain the difference, which can distinguish updip well from downdip well).</p>
<p>We also give the calculation formulas of the above parameters to make the evaluation factors as complete as possible (<xref ref-type="table" rid="T1">Table&#x20;1</xref>). It is worth noting that the better the matrix brittleness factor is, the greater the brittleness is, the more beneficial to improve the complexity of the fracture network (<xref ref-type="bibr" rid="B29">Rickman et&#x20;al., 2008</xref>). The better the fracture propagation factors are, the wider the hydraulic fracture propagation may be. The better the reservoir resource factor, the more resources can be recovered within the transformed volume. In more detail, we introduce a large number of parameters not involved in conventional evaluation: &#x2460;Generally, the azimuth angle <italic>&#x3b2;</italic> of natural fracture zone is of great significance for well trajectory design, but for drilled and fractured wells, the approach angle <italic>&#x3b8;</italic> is more valuable for analysis; &#x2461;<italic>W</italic>
<sub>NF</sub> and <italic>W</italic>
<sub>LM</sub> reflect the development scale of micro-fractures and micro-bedding inside the matrix rock, which is controlled by sedimentary facies and is positively correlated with the content of mineral components, and can be obtained by multiple regression of <italic>V</italic>
<sub>Si</sub> and <italic>V</italic>
<sub>Ca</sub> in the source factors; &#x2462;<italic>P</italic>
<sub>p</sub> is a newly added parameter in this study that comprehensively considers three-dimensional stress and natural fracture zone angle to evaluate whether fractures can be opened. The smaller the value is, the easier the natural fracture zone is to be opened, and the more conducive it is to hydraulic fracturing; &#x2463;<italic>P</italic>
<sub>net</sub> is introduced as a newly added parameter, the smaller the value is, it indicates that the penetration and steering of hydraulic fractures are less difficult under the same construction intensity, and the fracture complexity is higher; &#x2464;Horizontal well path also has a crucial influence on long-term production effect. Both updip and downdip wells have large dip angles, which will lead to fluid accumulation at heel and toe, respectively, which will affect long-term productivity.</p>
</sec>
<sec id="s3-3">
<title>Methods for Stimulation Effects</title>
<p>The study also collected source targets (ST) and derived targets (DT) of dynamic monitoring, which can be divided into two categories: microseismic monitoring and production dynamic monitoring. Microseismic monitoring includes <italic>SRV</italic> (<italic>SRV</italic>), spread length (<italic>L</italic>), spread width (<italic>W</italic>), spread height (<italic>H</italic>) and derived parameters spread length-width ratio (<italic>R</italic>). Production dynamic monitoring includes daily test yeild (<italic>Q</italic>
<sub>Test</sub>), 30/60/90/180/330 days&#x2019; cumulative yeild (<italic>Q</italic>
<sub>30</sub>, <italic>Q</italic>
<sub>60</sub>, <italic>Q</italic>
<sub>90</sub>, <italic>Q</italic>
<sub>180</sub>, <italic>Q</italic>
<sub>330</sub>), <italic>EUR</italic> (<italic>EUR</italic>) and derivative parameters equivalent construction intensity production data (<italic>Q</italic>
<sub>Test&#x2b;</sub>, <italic>Q</italic>
<sub>30&#x2b;</sub>, <italic>Q</italic>
<sub>60&#x2b;</sub>, <italic>Q</italic>
<sub>90&#x2b;</sub>, <italic>Q</italic>
<sub>180&#x2b;</sub>, <italic>Q</italic>
<sub>330&#x2b;</sub>, <italic>EUR</italic>
<sub>&#x2b;</sub>).</p>
<sec id="s3-3-1">
<title>The Method for Micro-seismic Monitoring</title>
<p>It is generally believed that the larger the SRV, the larger the <italic>L</italic>, <italic>W</italic> and <italic>H</italic> are, indicating the larger the area that can be utilized. The constructed derivative parameter <italic>R</italic> is defined as the ratio of spread length to spread width, as shown in <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>. The smaller <italic>R</italic> is, the higher the uniformity is, the more uniform the SRV is, and the fewer the blind zones between intervals and wells are.<disp-formula id="e1">
<mml:math id="m27">
<mml:mrow>
<mml:mtext>R</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-3-2">
<title>The Method for Production Dynamic Monitoring</title>
<p>Productive monitoring source data are read by metering equipment and visually reflect well productivity, while <italic>EUR</italic> is obtained through the Duong model (<xref ref-type="bibr" rid="B5">Duong, 2011</xref>). The DT are mainly aimed at eliminating the influence of fracturing operation parameters. For the same stimulated intensity, this study is defined as returning to the average of the main parameters of shale gas fracturing in Sichuan Basin. Therefore, for any horizontal well, the corresponding productivity data of different periods are regression to the strength of fracturing section length of 1500m, cluster space of 10m, hydraulic strength of 30&#xa0;m&#xb3;/m (hydraulic volume used in horizontal well per meter), proppant strength of 2&#xa0;t/m (supporting dose used in horizontal well per meter), and pumping rate of 15&#xa0;m&#xb3;/min for unified evaluation, as shown in <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>. Minimize the impact of fracturing parameters.<disp-formula id="e2">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mtext>Q</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>Q</mml:mtext>
<mml:mfrac>
<mml:mrow>
<mml:mn>1500</mml:mn>
</mml:mrow>
<mml:mtext>l</mml:mtext>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mn>30</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>q</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mtext>pump</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mtext>cluster&#xa0;space</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<p>There are three keys to reservoir stimulation potential: high SRV, high fracture complexity, and high economic productivity. The correlation study between the factors above and the dynamic monitoring objectives can reveal the main controlling factors of the dynamic effect of horizontal shale gas wells, so as to achieve the purpose of comprehensive evaluation of reservoir stimulated potential. In the first place, without considering whether the reservoir contains resources, the study aims at maximizing <italic>SRV</italic> and fracture complexity to explore the reservoir parameters related to <italic>SRV</italic> and spread length-width ratio in micro-seismic monitoring. Combined with the reservoir property of gas-bearing shale, the study comprehensively evaluates the gas well productivity and selects the parameter group with the highest influence degree.</p>
<sec id="s4-1">
<title>Relationship Between the Factors and Micro-seismic Monitoring Results</title>
<p>Micro-seismic monitoring can be divided into two modes: downhole micro-seismic monitoring and surface micro-seismic monitoring. To eliminate the influence of different monitoring modes, this study selected 554 stages of 25 downhole micro-seismic wells with similar fracturing operation parameters in the Changning gasfield as the target, using the seismic and logging data to read the matrix brittleness and fracture propagation factors of each stage of horizontal well, and the correlation analysis is conducted with the target parameters of each stage monitored by micro-seismic.</p>
<p>Univariate analysis was carried out based on the calculation results of 554 stages of 25 wells in Changning gas field and <italic>SRV</italic> or <italic>R</italic> of each stage (<xref ref-type="table" rid="T2">Table&#x20;2</xref>). Due to the influence of the distance between the downhole micro-seismic monitoring sensor and the monitoring well, the monitoring data of each well is susceptible to the influence of the signal strength in the processing and has the difference in the value size of <italic>SRV</italic>. Therefore, the collected 554 segments of data are not completely linear. Taking 40 stages in three wells on platform H6 as an example, the factors with the most significant correlation with SRV were obtained, including <italic>P</italic>
<sub>net</sub>, &#x394;<italic>&#x3c3;</italic>, <italic>E</italic>
<sub>dyn</sub>, <italic>&#x3c3;</italic>
<sub>v</sub>, <italic>&#x3c3;</italic>
<sub>h</sub>, <italic>&#x3c3;</italic>
<sub>H</sub> (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>). The factors with the most significant correlation with <italic>R</italic> mainly included <italic>E</italic>
<sub>dyn</sub>, <italic>&#x3bd;</italic>, <italic>W</italic>
<sub>NF</sub>, <italic>W</italic>
<sub>LM</sub>, <italic>K</italic>
<sub>II</sub>, <italic>K</italic>
<sub>I</sub> (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>). The ranking of other relevant factors can be seen in <xref ref-type="table" rid="T2">Table&#x20;2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Correlation ranking of the influencing factors to microseismic monitoring targets.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Rank (Strong&#x2192;Weak)</th>
<th align="left">1</th>
<th align="left">2</th>
<th align="left">3</th>
<th align="left">4</th>
<th align="left">5</th>
<th align="left">6</th>
<th align="left">7</th>
<th align="left">8</th>
<th align="left">9</th>
<th align="left">10</th>
<th align="left">11</th>
<th align="left">12</th>
<th align="left">13</th>
<th align="left">14</th>
<th align="left">15</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>SRV</italic>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Total</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Total</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The relationship between single-stage SRV of H6 platform and strong correlation factors.</p>
</caption>
<graphic xlink:href="feart-09-738668-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The relationship between single-stage R of H6 platform and strong correlation factors.</p>
</caption>
<graphic xlink:href="feart-09-738668-g003.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>Relationship Between the Factors and Productivity</title>
<p>The evaluation of the stimulation effect in Sichuan Basin usually takes the test yield as the main goal and tends to ignore the long-term stable yield ability. On the other hand, reservoir quality also determines the upper limit of production. Since it is difficult to evaluate productivity by stages as a unit, this study selected 161 wells in Changning gasfield as the analysis target, and took into account the factors that affect <italic>SRV</italic> and <italic>R</italic> of micro-seismic monitoring. At the same time, several factors affecting the reservoir quality and production effect, such as <italic>POR</italic>, <italic>TOC</italic>, <italic>Gas</italic>
<sub>F</sub>, <italic>Gas</italic>
<sub>A</sub>, <italic>Gas</italic>
<sub>T</sub>, <italic>V</italic>
<sub>Total</sub>, &#x394;<italic>D</italic>, were considered to analyze the influence on the production parameters of the same stimulated intensity.</p>
<p>Univariate analysis was conducted by using the calculation results of 161 wells in Changning gasfield and <italic>Q</italic>
<sub>
<italic>Test&#x2b;</italic>
</sub>, <italic>Q</italic>
<sub>
<italic>30&#x2b;</italic>
</sub>, <italic>Q</italic>
<sub>
<italic>60&#x2b;</italic>
</sub>, <italic>Q</italic>
<sub>
<italic>90&#x2b;</italic>
</sub>, <italic>Q</italic>
<sub>
<italic>180&#x2b;</italic>
</sub>, <italic>Q</italic>
<sub>
<italic>330&#x2b;</italic>
</sub>, <italic>EUR</italic>
<sub>
<italic>&#x2b;</italic>
</sub> of a single well (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). The analysis shows that there are significant differences in the main controlling factors of gas well production in different production stages.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Correlation ranking of each influencing factor to production dynamic monitoring target.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Rank</th>
<th align="left">1</th>
<th align="left">2</th>
<th align="left">3</th>
<th align="left">4</th>
<th align="left">5</th>
<th align="left">6</th>
<th align="left">7</th>
<th align="left">8</th>
<th align="left">9</th>
<th align="left">10</th>
<th align="left">11</th>
<th align="left">12</th>
<th align="left">13</th>
<th align="left">14</th>
<th align="left">15</th>
<th align="left">16</th>
<th align="left">17</th>
<th align="left">18</th>
<th align="left">19</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>Q</italic>
<sub>Test&#x2b;</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>Q</italic>
<sub>30&#x2b;</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>Q</italic>
<sub>60&#x2b;</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>Q</italic>
<sub>90&#x2b;</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>Q</italic>
<sub>180&#x2b;</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>Q</italic>
<sub>330&#x2b;</sub>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
<tr>
<td align="left">
<italic>Q</italic>
<sub>EUR&#x2b;</sub>
</td>
<td align="left">
<italic>P</italic>
<sub>net</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>II</sub>
</td>
<td align="left">
<italic>K</italic>
<sub>I</sub>
</td>
<td align="left">
<italic>E</italic>
<sub>dyn</sub>
</td>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">
<italic>&#x3c6;</italic>
</td>
<td align="left">&#x394;<italic>&#x3c3;</italic>
</td>
<td align="left">
<italic>&#x3bd;</italic>
</td>
<td align="left">
<italic>Gas</italic>
<sub>T</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>A</sub>
</td>
<td align="left">
<italic>Gas</italic>
<sub>F</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>h</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>H</sub>
</td>
<td align="left">
<italic>&#x3c3;</italic>
<sub>v</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>NF</sub>
</td>
<td align="left">
<italic>W</italic>
<sub>LM</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Si</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Ca</sub>
</td>
<td align="left">
<italic>V</italic>
<sub>Clay</sub>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Taking <italic>Q</italic>
<sub>Test&#x2b;</sub> as the ordinate and main influencing factors as the abaxial coordinate, it shows that Gas<sub>T</sub>, <italic>TOC</italic>, <italic>Gas</italic>
<sub>A</sub>, <italic>POR</italic>, <italic>Gas</italic>
<sub>F</sub> are the main factors affecting the test daily yield. But taking <italic>Q</italic>
<sub>EUR&#x2b;</sub> as the vertical coordinate and main influencing factors as the horizontal coordinate, it shows that the main controlling factors have inherited the changing trend from the daily test yield to the <italic>EUR</italic> of the period mentioned above. The main controlling factors are basically unchanged, but changed in order. The top six are <italic>P</italic>
<sub>net</sub>, <italic>K</italic>
<sub>II</sub>, <italic>K</italic>
<sub>I</sub>, <italic>E</italic>
<sub>dyn</sub>, <italic>&#x3c9;</italic>, <italic>&#x3c6;</italic>. On the whole, the stimulation potential of gas well is controlled by reservoir property and fracability.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<sec id="s5-1">
<title>Influence Mechanism on <italic>SRV</italic> and <italic>R</italic>
</title>
<p>For SRV, <italic>P</italic>
<sub>net</sub> is a parameter derived from &#x394;<italic>&#x3c3;</italic> and <italic>&#x3b8;</italic>, and its influence on SRV is much higher than that of &#x394;<italic>&#x3c3;</italic>. The smaller <italic>P</italic>
<sub>net</sub> is, the greater the probability of hydraulic fractures penetration and diversion towards natural fractures is, and the wider the spread hydraulic fractures is. Therefore, the development direction of natural fracture belt and the comprehensive influence of horizontal stress difference play a key role in hydraulic fracture propagation. We also can see that <italic>P</italic>
<sub>net</sub> can basically embody the characteristics of &#x394;<italic>&#x3c3;</italic>, <italic>&#x3c3;</italic>
<sub>H</sub>, <italic>&#x3c3;</italic>
<sub>h</sub>. Therefore, <italic>P</italic>
<sub>net</sub> and <italic>E</italic>
<sub>dyn</sub> are selected as the main analysis objects. it can be seen from the statistical figure that the fracturing stages with smaller <italic>P</italic>
<sub>net</sub> and larger <italic>E</italic>
<sub>dyn</sub> in a single well generally have higher SRV (<xref ref-type="fig" rid="F4">Figures 4A,B</xref>), which can still show strong negative correlation and positive correlation, respectively, on the whole. According to &#x394;<italic>P</italic>
<sub>net</sub> &#x3d; 1&#xa0;MPa as the change step size, the mean value of <italic>P</italic>
<sub>net</sub> and <italic>SRV</italic> in the interval corresponding to the segment of the line (<xref ref-type="fig" rid="F4">Figure&#x20;4C</xref>) was calculated. Similarly, according to &#x394;<italic>E</italic>
<sub>dyn</sub> &#x3d; 2.5&#xa0;MPa as the change step size, the mean value of <italic>E</italic>
<sub>dyn</sub> and <italic>SRV</italic> in the corresponding interval of <italic>E</italic>
<sub>dyn</sub> was calculated (<xref ref-type="fig" rid="F4">Figure&#x20;4D</xref>). It can be seen that both <italic>P</italic>
<sub>net</sub> and <italic>E</italic>
<sub>dyn</sub> have a good power relationship with SRV, and the accuracy of the trend line is high. Therefore, <italic>E</italic>
<sub>dyn</sub> is obtained based on the comprehensive calculation of mineral and saturated fluid matrix, and also has the significance of rock ore itself. Therefore, <italic>P</italic>
<sub>net</sub> and <italic>E</italic>
<sub>dyn</sub> are selected as the main factors to evaluate the formation of large SRV in the reservoir under the precondition of not repeated consideration.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Relationship among <italic>P</italic>
<sub>net</sub>, <italic>E</italic>
<sub>dyn</sub> of single segment and SRV of underground micro-seismic in Changning gas&#x20;field.</p>
</caption>
<graphic xlink:href="feart-09-738668-g004.tif"/>
</fig>
<p>For <italic>R</italic>, it can be seen that the influence of <italic>E</italic>
<sub>dyn</sub> and <italic>&#x3bd;</italic> on <italic>R</italic> is much higher than that of other factors, indicating that the reservoir with higher matrix brittleness is more conducive to be uniformly stimulated. <italic>W</italic>
<sub>NF</sub> and <italic>W</italic>
<sub>LM</sub> also have a large influence, indicating that the development of natural weak plane may aggravate the non-uniform propagation of hydraulic fractures, resulting in the imbalance of spread length-width ratio. The increase of <italic>K</italic>
<sub>II</sub> also leads to the imbalance of fracture uniformity, indicating that the stronger the fracture resistance of rock is, the smaller the possibility of hydraulic fracture bending is. The influence of mineral composition on fracture uniformity is small, which may be related to the difficulty of mineral composition to directly reflect the rock structure and mechanical properties. Compared with <italic>SRV</italic>, the influence of <italic>in-situ</italic> stress and its derived parameters on <italic>R</italic> is small. <italic>E</italic>
<sub>dyn</sub> and <italic>&#x3bd;</italic> are extracted as the main analysis objects according to the correlation, and 554 stages of data are also analyzed statistically. It can be seen from the statistical figure that the lower the <italic>&#x3bd;</italic> and the greater the <italic>E</italic>
<sub>dyn</sub> in a single well, the smaller <italic>R</italic> is generally (<xref ref-type="fig" rid="F5">Figures 5A,B</xref>). According to &#x394;<italic>E</italic>
<sub>dyn</sub> &#x3d; 2&#xa0;GPa as the change step size, the mean <italic>E</italic>
<sub>dyn</sub> and <italic>R</italic> in the interval corresponding to <italic>E</italic>
<sub>dyn</sub> was calculated (<xref ref-type="fig" rid="F5">Figure&#x20;5C</xref>). In the same way, according to &#x394;<italic>&#x3bd;</italic> &#x3d; 0.02 as the changing step size, the mean <italic>&#x3bd;</italic> and R in the interval corresponding to the <italic>&#x3bd;</italic> is calculated (<xref ref-type="fig" rid="F5">Figure&#x20;5D</xref>). It can be seen that both <italic>E</italic>
<sub>dyn</sub> and <italic>&#x3bd;</italic> have a good power relationship with <italic>R</italic>, and the precision of the trend line is high. Therefore, <italic>E</italic>
<sub>dyn</sub> and <italic>&#x3bd;</italic> are selected as the main controlling factors to evaluate the uniform expansion of the reservoir.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Relationship among <italic>E</italic>
<sub>
<italic>dyn</italic>
</sub>, <italic>&#x3bd;</italic> of single segment and <italic>R</italic> of underground micro-seismic in Changning gas&#x20;field.</p>
</caption>
<graphic xlink:href="feart-09-738668-g005.tif"/>
</fig>
</sec>
<sec id="s5-2">
<title>Influence Mechanism on Productivity</title>
<p>For <italic>Q</italic>
<sub>Test&#x2b;</sub>, Gas<sub>T</sub>, <italic>TOC</italic>, <italic>Gas</italic>
<sub>A</sub>, <italic>POR</italic>, <italic>Gas</italic>
<sub>F</sub> are the main factors affecting the test daily production, which indicates that the reservoir quality plays a decisive role in the initial productivity. The obvious negative correlation between <italic>V</italic>
<sub>Total</sub> and <italic>Q</italic>
<sub>Test&#x2b;</sub> is not because the high brittleness of the reservoir affects the production, but more likely because the gas wells with high brittleness do not have high quality reservoir quality under the influence of deposition and diagenesis (<xref ref-type="bibr" rid="B34">Shen et&#x20;al., 2020b</xref>). It also shows that it is not sufficient to evaluate the reservoir stimulation potential only by using brittle minerals as an engineering factor. The influence of &#x394;<italic>D</italic> on the daily test yield is different from other factors. When it is negative, it means that the heel of the horizontal well is higher than the toe, indicating downdip well; otherwise, it means updip well; and its absolute value represents the inclination of the horizontal well. Influenced by the structure of the Sichuan Basin, the dip angle of 0&#x2013;10&#xb0; is always present in the main gas producing layers, and the larger dip angle has an obvious risk of fluid accumulation, thus affecting the production (<xref ref-type="bibr" rid="B44">Wei et&#x20;al., 2019</xref>). Therefore, there is a binomial relationship between the dip Angle and the measured daily production.</p>
<p>But for EUR&#x2b;, it shows that the main controlling factors have inherited the changing trend from the daily test yield to the <italic>EUR</italic> of the period mentioned above. The main controlling factors are changed, and changed in order. From the results of univariate analysis, the dominant factors have four characteristics. The first is the instability of the main control factors. The main control factors always change, with the passage of production time, the overall change is great. Second, and most important, with the passing of production time, the weight of <italic>P</italic>
<sub>net</sub> and <italic>E</italic>
<sub>dyn</sub>, which influence the effect of fracture network stimulation, is gradually increased, and the primary factor is gradually changed from &#x201c;geological parameters&#x201d; to &#x201c;engineering parameters.&#x201d; Third, reservoir property parameters could not to be ignored to productivity effect, which is the basic guarantee for the production after the formation of complex fracture network. Fourth, &#x394;<italic>D</italic> can not be ignored. The analysis shows that the influence of the horizontal well trajectory inclination on the long-term stable production is gradually increasing, which may be related to the fluid accumulation at the heel and toe of the upward dip well after a long production time. Comprehensive analysis shows that long-term stable and high production of gas well is not only affected by static geological parameters of reservoir, but also by rock mechanics, fracture mechanics, geomechanics and well path. Thus, the influence model of shale gas well geology-engineering-production model is established (<xref ref-type="fig" rid="F6">Figure&#x20;6</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The influence model of geological&#x2013;engineering&#x2013;production process of shale gas&#x20;well.</p>
</caption>
<graphic xlink:href="feart-09-738668-g006.tif"/>
</fig>
<p>In the early stage of production, under the precondition of smooth fracturing operation, gas well productivity is mainly controlled by RP, that is, the stronger the reservoir properties, the higher the gas content, and the overall high production of the gas well. Factors as production time, MB and FP gradually highlight the influence of factors on gas well productivity, show the resources of enrichment of reservoir formed by hydraulic fracturing complex network, get bigger the SRV, is the basis of the gas wells to maintain long-term stable and high yield eventually safeguard, also shows that the reservoir itself have the ability to form complex joint network and the larger the SRV, under the same construction intensity, relatively high yields can be obtained. The main controlling factors of productivity in different stages also show that the main controlling factors of gas well are RP factor, MB factor and FP factor successively: Regardless of the technology, the near-wellbore zone can be fully stimulated. Therefore, in the early stage of production, production mainly comes from the near-wellbore zone where complex fracture networks are formed by fracturing, and the reservoir and gas content of the reservoir itself absolutely control the productivity (<xref ref-type="fig" rid="F6">Figures 6A,B</xref>). As production time goes by, the fracture network formed by hydraulic fracturing connects the reservoir matrix and communicates with natural fractures, which becomes the main factor affecting production replacement. The more channels gas flows from the matrix to the wellbore, the more effectively the production of the gas well can be maintained (<xref ref-type="fig" rid="F6">Figures 6C,D</xref>). At the end of production, gas well productivity is more reflected in the initiative of stimulated reservoir volume, emphasizing that the wider control area of hydraulic fracture in three-dimensional space, the more conducive to obtain the final cumulative high production (<xref ref-type="fig" rid="F6">Figures&#x20;6E,F</xref>).</p>
</sec>
</sec>
<sec id="s6">
<title>Stimulation Effects Evaluation</title>
<p>According to the classification of different influencing factors, combined with their different influencing mechanisms, EUR&#x2b; was taken as the evaluation target, and the top factors were selected as the main control factors. Among them, <italic>P</italic>
<sub>net</sub> is the main controlling factor of fracture propagation, <italic>K</italic>
<sub>II</sub>, <italic>K</italic>
<sub>I</sub>, <italic>E</italic>
<sub>dyn</sub>, <italic>&#x3bd;</italic> are the main controlling factors of matrix brittleness, and <italic>POR</italic>, <italic>TOC</italic>, and &#x394;<italic>D</italic> are the main controlling factors of reservoir properties, which are used for parameters required by subsequent evaluation methods.</p>
<sec id="s6-1">
<title>Evaluation Model Establishment</title>
<p>Matrix brittleness is fused with <italic>E</italic>
<sub>dyn</sub> and <italic>&#x3bd;</italic>, considering the difference of the two orders of magnitude, the two parameters are firstly dimensionless processing:<disp-formula id="e3">
<mml:math id="m29">
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mi>dyn</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mtext>dyn</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mtext>dyn</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>max</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mtext>dyn</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;&#xa0;</mml:mtext>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3bd;</mml:mi>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bd;</mml:mi>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3bd;</mml:mi>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">II</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>I</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>I</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>I</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Then, the dimensionless elastic modulus and the dimensionless Poisson&#x2019;s ratio were dimensionless again to establish the matrix brittleness potential index:<disp-formula id="e4">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mtext>N</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mtext>N</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">II</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">II</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">II</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">II</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mfrac>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mtext>N</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mtext>N</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>
<italic>P</italic>
<sub>net</sub> is dimensionless to obtain the fracture propagation potential index:<disp-formula id="e5">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mi>F</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mtext>net</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>max</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mi>net</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mtext>net</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>max</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mtext>net</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Since it is difficult to combine <italic>POR</italic> and <italic>TOC</italic>, they should be combined by considering the weight. Therefore, the corresponding correlations of 0.1768 and 0.1734 in single factor analysis of POR and TOC were selected to evaluate EUR of gas wells. &#x394;<italic>D</italic> is introduced, and 1000&#xa0;m vertical depth difference is taken as the gas well limit, and enrichment and development potential index is established to reflect the impact of gas well inclination on production:<disp-formula id="e6">
<mml:math id="m32">
<mml:mrow>
<mml:mtext>POR</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>POR</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>POR</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>POR</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>POR</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mtext>TOC</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>TOC</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TOC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>TOC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TOC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m33">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.1768</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.1734</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mi>F</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>1000</mml:mn>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.1734</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mtext>POR</mml:mtext>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.1768</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">&#x2019;</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Finally, the three factors are combined to form the stimulation potential index:<disp-formula id="e8">
<mml:math id="m34">
<mml:mrow>
<mml:mfrac>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
</sec>
<sec id="s6-2">
<title>Field Evaluation</title>
<p>The study collected <italic>EUR</italic>
<sub>&#x2b;</sub> data from 301 wells, including 161 analysis wells above and 140 validation wells. A total of 301 wells were used for the analysis, and once the majority of wells met the evaluation requirements, the method proved to be of widespread value. With <italic>EUR</italic>
<sub>&#x2b;</sub> setting 0.5 &#xd7; 10<sup>8</sup>&#xa0;m&#xb3; as step length, the productivity interval was divided. <italic>C</italic>
<sub>F</sub> and <italic>P</italic>
<sub>F</sub> were used as horizontal and vertical coordinates respectively to analyze the distribution interval of high-producing and low-producing Wells (<xref ref-type="fig" rid="F7">Figure&#x20;7A</xref>). Wells with <italic>EUR</italic>
<sub>&#x2b;</sub> at 1.5 &#xd7; 10<sup>8</sup>&#xa0;m&#xb3; are mainly distributed in the dominant zones (<italic>C</italic>
<sub>F</sub> and <italic>P</italic>
<sub>F</sub> greater than 0.5), but the red dominant zones also have a significant number of low-producing wells, indicating that effective fracturing potential alone is not sufficient to reflect stimulation potential.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Gas well production distribution corresponding to different evaluation charts (Sample well number 301).</p>
</caption>
<graphic xlink:href="feart-09-738668-g007.tif"/>
</fig>
<p>For convenience analysis, <italic>C</italic>
<sub>F</sub> and <italic>P</italic>
<sub>F</sub> are equivalent combined as <italic>Q</italic>
<sub>F</sub> (<xref ref-type="disp-formula" rid="e9">Eq. 9</xref>) to comprehensively evaluate stimulated effect and form a Cartesian coordinate system with <italic>R</italic>
<sub>F</sub> (<xref ref-type="fig" rid="F7">Figure&#x20;7B</xref>). In terms of the distribution of gas Wells, the high-producing wells are always distributed in the dominant area (<italic>Q</italic>
<sub>F</sub> and <italic>R</italic>
<sub>F</sub> are greater than 0.5), while the low-producing wells are &#x201c;eliminated&#x201d; to other areas, with a more obvious differentiation, which confirms that the factors selected in this study and the indicators formed are effective in the evaluation of the stimulated potential of gas wells.<disp-formula id="e9">
<mml:math id="m35">
<mml:mrow>
<mml:mfrac>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mtext>Q</mml:mtext>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>F</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>A geological model was established based on 301 logging data to reflect the burial depth of the reservoir (<xref ref-type="fig" rid="F8">Figure&#x20;8A</xref>) and the comprehensive index <italic>M</italic>
<sub>F</sub> (<xref ref-type="fig" rid="F8">Figure&#x20;8B</xref>). The higher the <italic>M</italic>
<sub>F</sub>, the better the stimulated potential of the reservoir, and the more conducive to achieving high yield. It can be seen that the high part of the structure and the slope area (MF &#x3e; 0.5) are the main positions to obtain high yield (<xref ref-type="bibr" rid="B20">Liu et&#x20;al., 2020</xref>, <xref ref-type="bibr" rid="B21">2021</xref>), while the axial part of the tectonic syncline (MF &#x3c; 0.5) is more complicated due to stress concentration.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Distribution of gas Wells with different production rates in buried depth contour and M<sub>F</sub> contour.</p>
</caption>
<graphic xlink:href="feart-09-738668-g008.tif"/>
</fig>
<p>Moreover, in the fracturing process of horizontal wells in Changning gasfield, the liquid strength, proppant strength and pumping rate in a single well are within the range of 20&#x2013;45&#xa0;m&#xb3;/m, 1&#x223c;5&#xa0;t/m and 8&#x2013;18&#xa0;m&#xb3;/min respectively. A total of 181 wells in high part of structure and slope areas saw a significant increase in <italic>EUR</italic> as the fracturing parameters increased, and it seems that the fracturing parameters could be further increased to achieve the purpose of production increase (<xref ref-type="fig" rid="F9">Figures 9A,C,E</xref>). However, from the parameter changes of 120 wells in the synclinal axis, the increase rate of <italic>EUR</italic> per well is low, and the increase of production is no longer obvious after fracturing operation parameters increase to a certain scale, that is, reservoir conditions control the upper limit of gas well productivity in this area (<xref ref-type="fig" rid="F9">Figures 9B,D,F</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Relationship between frac-parameters and EUR of gas wells in regions with M<sub>F</sub> greater and less than 0.5.</p>
</caption>
<graphic xlink:href="feart-09-738668-g009.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s7">
<title>Conclusion</title>
<p>Shale gas stimulated potential can intuitively reflect the gas well productivity, can be divided into matrix brittleness, fracture propagation and enrichment and exploitation of three factors. It is mainly controlled by elastic modulus, Poisson&#x2019;s ratio, Type I and II fracture toughness, critical net pressure, porosity, <italic>TOC</italic>, and well trajectory, which are related to well trajectory, reservoir property, rock mechanics, <italic>in-situ</italic> stress, occurrence of natural fracture belt and their derived parameters.</p>
<p>The matrix brittleness index can be used to evaluate the hydraulic fracture homogenicity, and the fracture propagation index can be used to evaluate the SRV scale. Comprehensive index (<italic>M</italic>
<sub>F</sub>) can be used to evaluate the stimulation potential of gas well. The higher the <italic>M</italic>
<sub>F</sub>, the higher the ratio of gas Wells to high production, indicating that the reservoir itself must not only be favorable for fracturing, but also have sufficient resource enrichment. In areas with <italic>M</italic>
<sub>F</sub> greater than 0.5, wells can achieve significant production gains through enhanced fracturing parameters. In the area less than 0.5, when the fracturing parameters reach a certain level, the productivity increase of the well is no longer obvious, and the physical properties of the reservoir itself play a significant role in controlling the production of shale gas&#x20;wells.</p>
</sec>
</body>
<back>
<sec id="s8">
<title>Data Availability Statement</title>
<p>The data analyzed in this study is subject to the following licenses/restrictions: The data belongs to the internal production data of the oil and gas field company and can be used inside the oil field. The methods in the article can be extended to other fields for use. Requests to access these datasets should be directed to <email>ShenC_Victor@163.com</email>
</p>
</sec>
<sec id="s9">
<title>Author Contributions</title>
<p>CS: data analysis, method research, and paper writing ZZ: Theoretical research and methodological research JX: methodological research and thinking arrangement FW: Data analysis QF: data analysis and method research LR: Data analysis.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>Authors CS, QF, and FW were employed by the Southwest Oil and Gas Field Company. Author JX was employed by the China National Petroleum Corporation.</p>
<p>The remaining authors declare 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="s11">
<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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Ayyaz</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Abdulazeez</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Mohamed</surname>
<given-names>I. A.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). &#x201c;<article-title>Lithofacies Controls on Mechanical Properties and Brittleness in Qusaiba Shale, Rub&#x2019;s Al-Khali Basin, Saudi Arabia</article-title>,&#x201d; in <conf-name>International Petroleum Technology Conference</conf-name>, <conf-loc>Beijing</conf-loc>, <fpage>1</fpage>&#x2013;<lpage>20</lpage>. <pub-id pub-id-type="doi">10.2118/19084-MS</pub-id> </citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Biot</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>1956</year>). <article-title>Theory of Propagation of Elastic Waves in a Fluid&#x2010;Saturated Porous Solid. I. Low&#x2010;Frequency Range</article-title>. <source>The J.&#x20;Acoust. Soc. America</source> <volume>28</volume>, <fpage>168</fpage>&#x2013;<lpage>178</lpage>. <pub-id pub-id-type="doi">10.1121/1.190824110.1121/1.1908239</pub-id> </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>J.&#x20;Z.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>P. H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Fracability Evaluation of Shale in the Niutitang Formation in Northwestern Hunan</article-title>. <source>Earth Sci. Front.</source> <volume>24</volume>, <fpage>390</fpage>&#x2013;<lpage>398</lpage>. </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cui</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>Z. G.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>D. S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Rock Mechanics Study and Fracability Evaluation for Longmaxi Formation of Baojing Block in Hunan Province</article-title>. <source>Nat. Gas Geosci.</source> <volume>30</volume>, <fpage>626</fpage>&#x2013;<lpage>634</lpage>. </citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duong</surname>
<given-names>A. N.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Rate-decline Analysis for Fracture-Dominated Shale Reservoirs</article-title>. <source>SPE Reservoir Eval. Eng.</source> <volume>14</volume>, <fpage>377</fpage>&#x2013;<lpage>387</lpage>. <pub-id pub-id-type="doi">10.2118/137748-PA</pub-id> </citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fu</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Geological Controls on Artificial Fracture Networks in continental Shale and its Fracability Evaluation: A Case Study in the Yanchang Formation, Ordos Basin, China</article-title>. <source>J.&#x20;Nat. Gas Sci. Eng.</source> <volume>26</volume>, <fpage>1285</fpage>&#x2013;<lpage>1293</lpage>. <pub-id pub-id-type="doi">10.1016/j.jngse.2015.08.034</pub-id> </citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gassmann</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>1951</year>). <article-title>Elastic Waves through a Packing of Spheres</article-title>. <source>Geophysics</source> <volume>16</volume>, <fpage>673</fpage>&#x2013;<lpage>685</lpage>. <pub-id pub-id-type="doi">10.1190/1.1437718</pub-id> </citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Geng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Jing</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Integrated Fracability Assessment Methodology for Unconventional Naturally Fractured Reservoirs: Bridging the gap between Geophysics and Production</article-title>. <source>J.&#x20;Pet. Sci. Eng.</source> <volume>145</volume>, <fpage>640</fpage>&#x2013;<lpage>647</lpage>. <pub-id pub-id-type="doi">10.1016/j.petrol.2016.06.034</pub-id> </citation>
</ref>
<ref id="B9">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Govindarajan</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Gokaraju</surname>
<given-names>D. V.</given-names>
</name>
<name>
<surname>Mitra</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Patterson</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Aldin</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>Evaluation of Fracability index for Reservoir Rock- A Laboratory Study</article-title>,&#x201d; in <conf-name>Proceedings of 51st U.S. Rock Mechanics/Geomechanics Symposium</conf-name>, <conf-loc>California, USA</conf-loc>. <comment>ARMA-2017-0381</comment>. </citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>He</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Nie</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>The Shale Gas "sweet Window": "The Cracked and Unbroken" State of Shale and its Depth Range</article-title>. <source>Mar. Pet. Geology.</source> <volume>101</volume>, <fpage>334</fpage>&#x2013;<lpage>342</lpage>. <pub-id pub-id-type="doi">10.1016/j.marpetgeo.2018.11.033</pub-id> </citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hill</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>1952</year>). <article-title>The Elastic Behaviour of a Crystalline Aggregate</article-title>. <source>Proc. Phys. Soc. A.</source> <volume>65</volume>, <fpage>349</fpage>&#x2013;<lpage>354</lpage>. <pub-id pub-id-type="doi">10.1088/0370-1298/65/5/307</pub-id> </citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hou</surname>
<given-names>L. H.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>Z. C.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Z. Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Key Geological Factors Controlling the Estimated Ultimate Recovery of Shale Oil and Gas: A Case Study of the Eagle Ford Shale</article-title>. <source>Gulf Coast Basin, USA. Pet. Exploration Dev.</source> <volume>48</volume>, <fpage>654</fpage>&#x2013;<lpage>665</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(21)60062-9</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>L. Z.</given-names>
</name>
<name>
<surname>You</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>The Evaluation and Application of Engineering Sweet Spots in a Horizontal Well in the Fuling Shale Gas Reservoir</article-title>. <source>Pet. Drilling Tech.</source> <volume>44</volume>, <fpage>16</fpage>&#x2013;<lpage>20</lpage>. <pub-id pub-id-type="doi">10.11911/syztjs.201603003</pub-id> </citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ji</surname>
<given-names>G. F.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>S. C.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>K. D.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A Method for Evaluation Shale Fracability Based on Shear Slip Fractures under Plane Strain and Intergranular Fracture</article-title>. <source>J.&#x20;Chongqing Univ.</source> <volume>42</volume>, <fpage>1</fpage>&#x2013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.11835/j.issn.1000-582X.2019.255</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jin</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Shah</surname>
<given-names>S. N.</given-names>
</name>
<name>
<surname>Roegiers</surname>
<given-names>J.-C.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>An Integrated Petrophysics and Geomechanics Approach for Fracability Evaluation in Shale Reservoirs</article-title>. <source>Eng. Pet.</source> <volume>20</volume>, <fpage>518</fpage>&#x2013;<lpage>526</lpage>. <pub-id pub-id-type="doi">10.2118/168589-PA</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kumar</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Das</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Bastia</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ojha</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Mineralogical and Morphological Characterization of Older Cambay Shale from north Cambay Basin, India: Implication for Shale Oil/gas Development</article-title>. <source>Mar. Pet. Geology.</source> <volume>97</volume>, <fpage>339</fpage>&#x2013;<lpage>354</lpage>. <pub-id pub-id-type="doi">10.1016/j.marpetgeo.2018.07.020</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kuster</surname>
<given-names>G. T.</given-names>
</name>
<name>
<surname>Toks&#xf6;z</surname>
<given-names>M. N.</given-names>
</name>
</person-group> (<year>1974</year>). <article-title>Velocity and Attenuation of Seismic Waves in Two&#x2010;phase Media: Part I. Theoretical Formulations</article-title>. <source>Geophysics</source> <volume>39</volume>, <fpage>587</fpage>&#x2013;<lpage>606</lpage>. <pub-id pub-id-type="doi">10.1190/1.1440450</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liao</surname>
<given-names>D. L.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>B. P.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>An Evaluation Method of Engineering Sweet Spots of Shale Gas Reservoir Development: A Case Study from the Jiaoshiba Gas Field, Sichuan Basin</article-title>. <source>Nat. Gas Industry</source> <volume>38</volume>, <fpage>43</fpage>&#x2013;<lpage>50</lpage>. </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Hao</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Engelder</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Shu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Stress Memory Extracted from Shale in the Vicinity of a Fault Zone: Implications for Shale-Gas Retention</article-title>. <source>Mar. Pet. Geology.</source> <volume>102</volume>, <fpage>340</fpage>&#x2013;<lpage>349</lpage>. <pub-id pub-id-type="doi">10.1016/j.marpetgeo.2018.12.047</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Hao</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Engelder</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Influence of Tectonic Exhumation on Porosity of Wufeng-Longmaxi Shale in the Fuling Gas Field of the Eastern Sichuan Basin, China</article-title>. <source>Bulletin</source> <volume>104</volume>, <fpage>939</fpage>&#x2013;<lpage>959</lpage>. <pub-id pub-id-type="doi">10.1306/08161918071</pub-id> </citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Hao</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Jing</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Stress Heterogeneity in the Changning Shale-Gas Field, Southern Sichuan Basin: Implications for a Hydraulic Fracturing Strategy</article-title>. <source>Mar. Pet. Geology.</source> <volume>132</volume>, <fpage>105218</fpage>. <pub-id pub-id-type="doi">10.1016/j.marpetgeo.2021.105218</pub-id> </citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Wang Changsheng, Sun Ting, Yang Xiaoming and Li Xia. Evaluation Method of the Least Horizontal Principal Stress by Logging Data in Anisotropic Fast Formations[J]</article-title>. <source>Pet. Exploration Dev.</source> <volume>44</volume>, <fpage>745</fpage>&#x2013;<lpage>752</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(17)30089-7</pub-id> </citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>New Brittleness Indexes and Their Application in Shale/clay Gas Reservoir Prediction[J]</article-title>. <source>Pet. Exploration Dev.</source> <volume>42</volume>, <fpage>117</fpage>&#x2013;<lpage>124</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(15)60016-7</pub-id> </citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>&#x201c;Extreme Utilization&#x201d; Development Theory of Unconventional Natural Gas[J]</article-title>. <source>Pet. Exploration Dev.</source> <volume>48</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(21)60030-7</pub-id> </citation>
</ref>
<ref id="B25">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Mavko</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Mukerji</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Dvorikin</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1998</year>). <source>The Rock Physics Handbook: Tools for Seismic Analysis in Porous Media</source>. <publisher-loc>Cambridge</publisher-loc>: <publisher-name>Cambridge University Press</publisher-name>. </citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ou</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>3D Discrete Network Modeling of Shale Bedding Fractures Based on Lithofacies Characterization[J]</article-title>. <source>Pet. Exploration Dev.</source> <volume>44</volume>, <fpage>309</fpage>&#x2013;<lpage>318</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(17)30039-3</pub-id> </citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ren</surname>
<given-names>H. L.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>W. P.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>X. Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y. W.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Stress Field Simulation and Fracture Development Prediction of the Wufeng Formation- Longmaxi Formation in the Fushun-Yongchuan Block, Sichuan Basin</article-title>. <source>J.&#x20;Geomechanics</source> <volume>26</volume>, <fpage>74</fpage>&#x2013;<lpage>83</lpage>. <pub-id pub-id-type="doi">10.12090/j.issn.1006-6616.2020.26.01.008</pub-id> </citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Reuss</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>1929</year>). <article-title>Stresses Constant in Composite, Rule of Mixtures for Compliance Components</article-title>. <source>J.&#x20;Appl. Maths. Mech.</source> <volume>9</volume>, <fpage>49</fpage>&#x2013;<lpage>58</lpage>. <pub-id pub-id-type="doi">10.1002/zamm.19290090104</pub-id> </citation>
</ref>
<ref id="B29">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Rickman</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Mullen</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Petre</surname>
<given-names>J.&#x20;E.</given-names>
</name>
<name>
<surname>Grieser</surname>
<given-names>W. V.</given-names>
</name>
<name>
<surname>Kundert</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2008</year>). &#x201c;<article-title>A Practical Use of Shale Petrophysics for Stimulation Design Optimization: All Shale Plays Are Not Clones of the Barnett Shale</article-title>,&#x201d; in <conf-name>SPE Annual Technical Conference and Exhibition</conf-name>, <conf-loc>Denver, Colorado, USA</conf-loc>. <pub-id pub-id-type="doi">10.2118/115258-MS</pub-id>
<volume>21-24 September</volume> </citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rybacki</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Meier</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Dresen</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>What Controls the Mechanical Properties of Shale Rocks? - Part II: Brittleness</article-title>. <source>J.&#x20;Pet. Sci. Eng.</source> <volume>144</volume>, <fpage>39</fpage>&#x2013;<lpage>58</lpage>. <pub-id pub-id-type="doi">10.1016/j.petrol.2016.02.022</pub-id> </citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sahu</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Das</surname>
<given-names>M. K.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Petrophysical Evaluation of Organic Richness and Brittleness of Shale for Unconventional Hydrocarbon Prospecting: A Case Study on Vadaparru Shale, Krishna Godavari Basin, India</article-title>. <source>Bahrain</source>. <pub-id pub-id-type="doi">10.15530/AP-URTEC-2019-198280</pub-id> </citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>New Comprehensive index and its Application on Evaluation in Shale Gas Reservoirs: A Case Study of Upper Ordovician Wufeng Formation to Lower Silurian Longmaxi Formation in southeastern Margin of Sichuan Basin</article-title>. <source>Pet. Exploration Dev.</source> <volume>44</volume>, <fpage>649</fpage>&#x2013;<lpage>658</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(17)30078-2</pub-id> </citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Whole-life Cycle Countermeasures to Improve the Stimulation Effect of Network Fracturing in Deep Shale Gas Reservoirs of the Southern Sichuan Basin</article-title>. <source>Nat. Gas Industry</source> <volume>41</volume>, <fpage>169</fpage>&#x2013;<lpage>177</lpage>. <pub-id pub-id-type="doi">10.3787/j.issn.1000-0976.2021.01.015</pub-id> </citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020b</year>). <article-title>Evolution Difference of Fracability of marine Shale Gas Reservoir in Luzhou and West Chongqing Block, Sichuan Basin</article-title>. <source>J.&#x20;China Univ. Mining Tech.</source> <volume>49</volume>, <fpage>736</fpage>&#x2013;<lpage>748</lpage>. <pub-id pub-id-type="doi">10.13247/j.cnki.jcumt.001135</pub-id> </citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A New Fracturing Sweet Spot Identification Method in Longmaxi Formation of Sichuan Basin, SW China</article-title>. <source>J.&#x20;Nat. Gas Geosci.</source> <volume>4</volume>, <fpage>279</fpage>&#x2013;<lpage>286</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnggs.2019.09.001</pub-id> </citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020a</year>). <article-title>Target Window Spatial Distribution Prediction Based on Network Fracability: A Case Study of Shale Gas Reservoirs in the Changning Block, Southern Sichuan Basin</article-title>. <source>J.&#x20;Geomechanics</source> <volume>26</volume>, <fpage>881</fpage>&#x2013;<lpage>891</lpage>. </citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sheng</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Evaluation Method of Shale Fracability and its Application in Jiaoshiba Area</article-title>. <source>Prog. Geophys.</source> <volume>31</volume>, <fpage>1473</fpage>&#x2013;<lpage>1479</lpage>. </citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zhuang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Quantitative Evaluation of Rock Brittleness and Fracability Based on Elastic-Wave Velocity Variation Around Borehole</article-title>. <source>Pet. Exploration Dev.</source> <volume>43</volume>, <fpage>457</fpage>&#x2013;<lpage>464</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(16)30053-2</pub-id> </citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xing</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>L. Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>B. H.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>S. X.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Influence Factors and Evaluation Methods of the Gas Shale Fracability</article-title>. <source>Earth Sci. Front.</source> <volume>19</volume>, <fpage>356</fpage>&#x2013;<lpage>363</lpage>. </citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vafaie</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Rahimzadeh Kivi</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>An Investigation on the Effect of thermal Maturity and Rock Composition on the Mechanical Behavior of Carbonaceous Shale Formations</article-title>. <source>Mar. Pet. Geology.</source> <volume>116</volume>, <fpage>104315</fpage>&#x2013;<lpage>104413</lpage>. <pub-id pub-id-type="doi">10.1016/j.marpetgeo.2020.104315</pub-id> </citation>
</ref>
<ref id="B41">
<citation citation-type="book">
<collab>Voigt Crystal physics[M]</collab> (<year>1928</year>). <source>Griechische Satzlehre</source>. <publisher-loc>Leipzig</publisher-loc>: <publisher-name>Teubner</publisher-name>, <fpage>1</fpage>&#x2013;<lpage>86</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-663-15957-5_1</pub-id> </citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>Bo.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2016a</year>). <article-title>A New Method of Fracability Evaluation of Shale Gas Reservoir Based on Weight Allocation</article-title>. <source>Pet. Drilling Tech.</source> <volume>44</volume>, <fpage>88</fpage>&#x2013;<lpage>94</lpage>. <pub-id pub-id-type="doi">10.11911/syztjs.201603016</pub-id> </citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2016b</year>). <article-title>Research and Application of Comprehensive Evaluation on Fracability of Shale Gas Well</article-title>. <source>Pet. Geology. Recovery Efficiency</source> <volume>23</volume>, <fpage>121</fpage>&#x2013;<lpage>126</lpage>. <pub-id pub-id-type="doi">10.13673/j.cnki.cn37-1359/te.20151106.015</pub-id> </citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wei</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>Y,</given-names>
</name>
<name>
<surname>Jia</surname>
<given-names>C,</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>Y,</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Production Performance and Development Measures for Typical Platform Horizontal wells in the Weiyuan Shale Gas Field, Sichuan Basin</article-title>. <source>Nat. Gas Industry</source> <volume>39</volume>, <fpage>81</fpage>&#x2013;<lpage>86</lpage>. <pub-id pub-id-type="doi">10.3787/j.issn.1000-0976.2019.01.009</pub-id> </citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>White</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>White</surname>
</name>
</person-group> (<year>1995</year>). <article-title>A New Velocity Model for clay&#x2010;sand Mixtures 1</article-title>. <source>Geophys. Prospecting</source> <volume>43</volume>, <fpage>91</fpage>&#x2013;<lpage>118</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-2478.1995.tb00126.x</pub-id> </citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>Y,</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>W,</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X,</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>R,</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>X,.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y,.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Identification Method of Shale Lithofacies by Logging Curves: a Case Study from Wufeng-Longmaxi Formation in Jiaoshiba Area</article-title>. <source>SW China</source> <volume>33</volume>, <fpage>135</fpage>&#x2013;<lpage>146</lpage>. <pub-id pub-id-type="doi">10.12108/yxyqc.20210214</pub-id> </citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Bao</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Shu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Main Factors Controlling marine Shale Gas Enrichment and High-Yield wells in South China: A Case Study of the Fuling Shale Gas Field</article-title>. <source>Mar. Pet. Geology.</source> <volume>103</volume>, <fpage>114</fpage>&#x2013;<lpage>125</lpage>. <pub-id pub-id-type="doi">10.1016/j.marpetgeo.2019.01.024</pub-id> </citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yuan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Fracability Evaluation of Shale-Gas Reservoirs[J]</article-title>. <source>Acta Petrolei Sinica</source> <volume>34</volume> (<issue>3</issue>), <fpage>356</fpage>&#x2013;<lpage>363</lpage>. <pub-id pub-id-type="doi">10.11743/ogg20180505</pub-id> </citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yuan</surname>
<given-names>Y,</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Brittle-ductile Transition Zone of Shale and its Implications in Shale Gas Exploration</article-title>. <source>Oil Gas Geology.</source> <volume>39</volume>, <fpage>899</fpage>&#x2013;<lpage>906</lpage>. <pub-id pub-id-type="doi">10.11743/ogg20180505</pub-id> </citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Quantitative Prediction of Gas Contents in Different Occurrence States of Shale Reservoirs: A Case Study of the Jiaoshiba Shale Gasfield in the Sichuan Basin</article-title>. <source>Nat. Gas Industry</source> <volume>37</volume>, <fpage>27</fpage>&#x2013;<lpage>33</lpage>. <pub-id pub-id-type="doi">10.3787/j.issn.1000-0976.2017.04.004</pub-id> </citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Controlling Factors of Hydraulic Fractures Extending into Network in Shale Formations</article-title>. <source>J.&#x20;Southwest Pet. Univ. (Science Tech. Edition)</source> <volume>35</volume>, <fpage>1</fpage>&#x2013;<lpage>9</lpage>. </citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>RenShen</surname>
<given-names>L. C,</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Latest Research Progresses in Network Fracturing Theories and Technologies for Shale Gas Reservoirs</article-title>. <source>Nat. Gas Industry B</source> <volume>5</volume>, <fpage>533</fpage>&#x2013;<lpage>546</lpage>. <pub-id pub-id-type="doi">10.1016/j.ngib.2018.03.007</pub-id> </citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>A New Method for Fracability Evaluation of Shale-Gas Reservoirs</article-title>. <source>Nat. Gas Geosci.</source> <volume>26</volume>, <fpage>1165</fpage>&#x2013;<lpage>1172</lpage>. <pub-id pub-id-type="doi">10.11764/j.issn.1672-1926.2015.06.1165</pub-id> </citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhong</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Liao</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Y,</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>A Comprehensive Logging Evaluation Method of Shale Gas Reservoir Quality</article-title>. <source>Nat. Gas Industry</source> <volume>40</volume>, <fpage>54</fpage>&#x2013;<lpage>60</lpage>. <pub-id pub-id-type="doi">10.11911/syztjs.2020091</pub-id> </citation>
</ref>
</ref-list>
<sec id="s12">
<title>Glossary</title>
<def-list>
<def-item>
<term id="G1-feart.2021.738668">
<bold>VSi, VCa, VClay&#x2014;</bold>
</term>
<def>
<p>the mass fraction of siliceous mineral, carbonate mineral, clay mineral,&#x20;%</p>
</def>
</def-item>
<def-item>
<term id="G2-feart.2021.738668">
<bold>VTotal&#x2014;</bold>
</term>
<def>
<p>the mass fraction of brittle minerals,&#x20;%</p>
</def>
</def-item>
<def-item>
<term id="G3-feart.2021.738668">
<bold>&#x3c3;n&#x2014;</bold>
</term>
<def>
<p>the normal stress on the natural fracture belt,&#x20;MPa</p>
</def>
</def-item>
<def-item>
<term id="G4-feart.2021.738668">
<bold>&#x3c9;&#x2014;</bold>
</term>
<def>
<p>the dip angle of natural fracture belt, 10&#xb0; in this&#x20;study</p>
</def>
</def-item>
<def-item>
<term id="G5-feart.2021.738668">
<bold>&#x3b8;&#x2014;</bold>
</term>
<def>
<p>approximation angle, &#xb0;</p>
</def>
</def-item>
<def-item>
<term id="G6-feart.2021.738668">
<bold>PP&#x2014;</bold>
</term>
<def>
<p>the critical opening pressure in natural fracture belt,&#x20;MPa</p>
</def>
</def-item>
<def-item>
<term id="G7-feart.2021.738668">
<bold>
<inline-formula id="inf27">
<mml:math id="m36">
<mml:mrow>
<mml:mover accent="true">
<mml:mtext>n</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>&#x2014;</bold>
</term>
<def>
<p>the unit normal vector of the wall surface of natural fracture belt in three-dimensional&#x20;space</p>
</def>
</def-item>
<def-item>
<term id="G8-feart.2021.738668">
<bold>Pn1&#x2014;</bold>
</term>
<def>
<p>the critical net pressure of hydraulic fracture penetrating natural fracture belt,&#x20;MPa</p>
</def>
</def-item>
<def-item>
<term id="G9-feart.2021.738668">
<bold>Pn2&#x2014;</bold>
</term>
<def>
<p>the critical net pressure of hydraulic fracture turning along the natural fracture belt,&#x20;MPa</p>
</def>
</def-item>
<def-item>
<term id="G10-feart.2021.738668">
<bold>To&#x2014;</bold>
</term>
<def>
<p>the tensile strength of natural fracture zone, 3MPa was taken in this&#x20;study</p>
</def>
</def-item>
<def-item>
<term id="G11-feart.2021.738668">
<bold>&#x394;pnf&#x2014;</bold>
</term>
<def>
<p>pressure drop at fracture end, 1MPa is taken in this&#x20;study</p>
</def>
</def-item>
<def-item>
<term id="G12-feart.2021.738668">
<bold>Q&#x2b;&#x2014;</bold>
</term>
<def>
<p>production dynamic data under the same stimulated intensity, Q<sub>30&#x2b;</sub>, Q<sub>60&#x2b;</sub>, Q<sub>90&#x2b;</sub>, Q<sub>180&#x2b;</sub>, Q<sub>330&#x2b;</sub>, EUR<sub>&#x2b;</sub>
</p>
</def>
</def-item>
<def-item>
<term id="G13-feart.2021.738668">
<bold>Q&#x2014;</bold>
</term>
<def>
<p>Production dynamic data, Q<sub>30</sub>, Q<sub>60</sub>, Q<sub>90</sub>, Q<sub>180</sub>, Q<sub>330</sub>,&#x20;EUR</p>
</def>
</def-item>
<def-item>
<term id="G14-feart.2021.738668">
<bold>l&#x2014;</bold>
</term>
<def>
<p>length of fracturing section of horizontal well,&#x20;m</p>
</def>
</def-item>
<def-item>
<term id="G15-feart.2021.738668">
<bold>Liquid&#x2014;</bold>
</term>
<def>
<p>horizontal well fluid strength, m&#xb3;/m</p>
</def>
</def-item>
<def-item>
<term id="G16-feart.2021.738668">
<bold>Prop&#x2014;</bold>
</term>
<def>
<p>proppant strength of horizontal well, t/m</p>
</def>
</def-item>
<def-item>
<term id="G17-feart.2021.738668">
<bold>Pump&#x2014;</bold>
</term>
<def>
<p>horizontal well operation rate, m&#xb3;/min</p>
</def>
</def-item>
<def-item>
<term id="G18-feart.2021.738668">
<bold>E&#x2032;&#x2014;</bold>
</term>
<def>
<p>dimensionless modulus of elasticity</p>
</def>
</def-item>
<def-item>
<term id="G19-feart.2021.738668">
<bold>Edyn&#x2014;</bold>
</term>
<def>
<p>modulus of elasticity,&#x20;GPa</p>
</def>
</def-item>
<def-item>
<term id="G20-feart.2021.738668">
<bold>Edynmax, Edynmin&#x2014;</bold>
</term>
<def>
<p>maximum and minimum modulus of elasticity in sample,&#x20;GPa</p>
</def>
</def-item>
<def-item>
<term id="G21-feart.2021.738668">
<bold>&#x3bd;&#x2032;&#x2014;</bold>
</term>
<def>
<p>dimensionless Poisson&#x2019;s&#x20;ratio</p>
</def>
</def-item>
<def-item>
<term id="G22-feart.2021.738668">
<bold>&#x3bd;&#x2014;</bold>
</term>
<def>
<p>Poisson&#x2019;s&#x20;ratio</p>
</def>
</def-item>
<def-item>
<term id="G23-feart.2021.738668">
<bold>&#x3bd;<sub>max</sub>, &#x3bd;<sub>min</sub>&#x2014;</bold>
</term>
<def>
<p>maximum and minimum Poisson&#x2019;s ratio in the sample</p>
</def>
</def-item>
<def-item>
<term id="G24-feart.2021.738668">
<bold>Pnet&#x2014;</bold>
</term>
<def>
<p>critical net pressure,&#x20;MPa</p>
</def>
</def-item>
<def-item>
<term id="G25-feart.2021.738668">
<bold>P<sub>net max</sub>, P<sub>net min</sub>&#x2014;</bold>
</term>
<def>
<p>the maximum and minimum critical net pressure in the sample,&#x20;MPa</p>
</def>
</def-item>
<def-item>
<term id="G26-feart.2021.738668">
<bold>POR&#x2032;&#x2014;</bold>
</term>
<def>
<p>dimensionless porosity</p>
</def>
</def-item>
<def-item>
<term id="G27-feart.2021.738668">
<bold>POR&#x2014;</bold>
</term>
<def>
<p>porosity, %</p>
</def>
</def-item>
<def-item>
<term id="G28-feart.2021.738668">
<bold>POR<sub>max</sub>, POR<sub>min</sub>&#x2014;</bold>
</term>
<def>
<p>maximum and minimum porosity in sample,&#x20;%</p>
</def>
</def-item>
<def-item>
<term id="G29-feart.2021.738668">
<bold>TOC&#x2032;&#x2014;</bold>
</term>
<def>
<p>dimensionless total organic carbon content, dimensionless</p>
</def>
</def-item>
<def-item>
<term id="G30-feart.2021.738668">
<bold>TOC&#x2014;</bold>
</term>
<def>
<p>total organic carbon content,&#x20;%</p>
</def>
</def-item>
<def-item>
<term id="G31-feart.2021.738668">
<bold>TOC<sub>max</sub>, TOC<sub>min</sub>&#x2014;</bold>
</term>
<def>
<p>the maximum and minimum total organic carbon content in the sample,&#x20;%</p>
</def>
</def-item>
<def-item>
<term id="G32-feart.2021.738668">
<bold>&#x394;D&#x2014;</bold>
</term>
<def>
<p>vertical depth difference of horizontal wellbore,&#x20;m</p>
</def>
</def-item>
<def-item>
<term id="G33-feart.2021.738668">
<bold>CF, PF, RF, MF&#x2014;</bold>
</term>
<def>
<p>matrix brittleness potential index, fracture propagation potential index, enrichment &#x26; exploration potential index, stimulated potential</p>
</def>
</def-item>
</def-list>
</sec>
</back>
</article>