<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-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">759538</article-id>
<article-id pub-id-type="doi">10.3389/feart.2021.759538</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Experimental Investigation on the Crack Evolution of Marine Shale with Different Soaking Fluids</article-title>
<alt-title alt-title-type="left-running-head">Wang et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Hydration Induced Crack in Shale</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1445282/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Bi</surname>
<given-names>Zhenhui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1444273/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zeng</surname>
<given-names>Yijin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Guangguo</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Guo</surname>
<given-names>Yintong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1288026/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Hanzhi</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Sinopec Research Institute of Petroleum Engineering, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>State Key Laboratory for Coal Mine Disaster Dynamics and Control, Chongqing University, <addr-line>Chongqing</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/1271351/overview">Yuwei Li</ext-link>, Liaoning University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1450415/overview">Tianshou Ma</ext-link>, Southwest Petroleum University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1456137/overview">Bing Hou</ext-link>, China University of Petroleum, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/877756/overview">Ada Huang</ext-link>, University of Alberta, Canada</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Zhenhui Bi, <email>bzh199511998@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>16</day>
<month>11</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>759538</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>08</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>10</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Wang, Bi, Zeng, Yang, Guo and Yang.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Wang, Bi, Zeng, Yang, Guo and Yang</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>Hydration induced cracks could promote the complexity of hydraulic fractures in marine shale gas reservoir. But the evolution process and forming mechanism has not been fully investigated. In this paper, Longmaxi marine shale were collected and immersed in three types of fluids (distilled water, fracturing fluid, and mineral oil) for more than 10 days. The spatial-temporal evolution of soaking fractures was recorded and analyzed. A fracture mechanical model was established, considering the effects of <italic>in-situ</italic> stress, fluid pressure, hydration stress, and capillary force. The promotion mechanism of hydration cracks in forming complex fracking network was discussed. Results showed that hydration fractures were extremely developed and evenly distributed in a state of network for specimens immersed in distilled water. For specimens soaked in fracturing fluid, the hydration cracks were moderately developed for the addition of anti-swelling agent. Fractures were rarely developed for specimens treated in mineral oil. The hydration fractures were mainly formed in the first 5&#xa0;h and showed strong anisotropy. Cracks parallel to the bedding planes accounted for the vast majority, with a small proportion developed in vertical direction. Theoretical calculations indicated that the stress intensity factor (SIF) caused by hydration stress and capillary force was greater than the measured fracture toughness. The micro crack would probably propagate along bedding planes and grow up into macro horizontal fractures, which promoted the formation of crisscrossing fracture network in shale gas formation.</p>
</abstract>
<kwd-group>
<kwd>marine shale</kwd>
<kwd>hydration fracture</kwd>
<kwd>spatial-temporal evolution</kwd>
<kwd>fracture mechanical model</kwd>
<kwd>fracture network</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Marine organic-rich shales deposited in oceanic and continental margin basins are the most important source rocks of both conventional and unconventional oil and gas resources all over the world (<xref ref-type="bibr" rid="B31">Zou et&#x20;al., 2019</xref>). During the past decade, marine shale gas exploration in China has acquired rapid progress. With the discovery of Fuling, Weiyuan, Changning, Fushun, Yongchuan Block in Sichuan Basin, the proved reserves of marine shale gas in China were up to 544.1&#xa0;billion cubic meters, and the output of shale gas in 2020 reached 20&#xa0;billion cubic meters (<xref ref-type="bibr" rid="B5">Cnr, 2021</xref>). Consequently, China has become the fourth country that achieved large scale commercial development of shale gas resources, and the other three countries are America, Canada and Argentina (<xref ref-type="bibr" rid="B25">Wang, 2017</xref>).</p>
<p>Shale hydration is a key factor that leads to wellbore instability problems in hard-brittle shale formation (<xref ref-type="bibr" rid="B17">Ma et&#x20;al., 2021</xref>). Most researchers focused on revealing hydration mechanism (<xref ref-type="bibr" rid="B4">CHENEVERT ME, 1970</xref>; <xref ref-type="bibr" rid="B6">DARLEY HCH, 1969</xref>; <xref ref-type="bibr" rid="B9">Dokhani et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B21">Roshan et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B26">Wen et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B15">Liang et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B14">Kang et&#x20;al., 2017</xref>) and developing effective anti-hydration drilling fluids to guarantee wellbore stability (<xref ref-type="bibr" rid="B8">Deville et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B20">Riley et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B1">An et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B30">Zhong et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B3">Barati et&#x20;al., 2017</xref>). However, in the view of reservoir stimulation, it might be a positive effect on improving recovery ratio in shale gas reservoir (<xref ref-type="bibr" rid="B7">Dehghanpour et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B13">Ji and Geehan, 2013</xref>; <xref ref-type="bibr" rid="B19">Morsy and Sheng, 2014</xref>), because hydration induced fractures could enhance the formation permeability.</p>
<p>Field practice of shale gas exploration in Jiaoshiba block, Fuling Distict, Chongqing, China showed that it consumed about 3&#xa0;h to fracturing one stage, preparation time between two adjacent stages was about 3&#x2013;4&#xa0;h, so fracturing 2 stages would cost nearly 1&#xa0;day. Supposing that a well needs to fracture 16 stages, 8&#xa0;days were needed (<xref ref-type="bibr" rid="B32">Wang et al., 2017</xref>). Typically, during the whole process of hydraulic fracturing, tens of thousands cubic meter fluid were injected in the reservoir, with very small proportion returning to the ground (<xref ref-type="bibr" rid="B28">Yuyang et&#x20;al., 2021</xref>). So, shale reservoir was in a state of fluid immersion environment and hydration process would fully develop. <xref ref-type="bibr" rid="B29">Zhang and Sheng (2017)</xref> studied of the propagation of hydration-induced fractures in Mancos shale using computerized tomography. <xref ref-type="bibr" rid="B16">Ma and Chen (2014)</xref> investigated on the meso-damage characteristics of shale hydration. However, previous studies mainly focused on the certain or final hydration state to evaluate hydration effect. The detailed spatial-temporal evolution process of hydration fractures in marine shale was rarely reported and still need systematic study, which was valuable for reservoir engineers to design more abundant and effective permeable fractures.</p>
<p>This paper presents a detailed study on the fracture evolution of Longmaxi marine shale, soaked in three different types of fluids. The distribution and total length of hydration fractures were observed and analyzed from the time of immersion to more than 10&#xa0;days. A mechanical model, considering the effects of <italic>in-situ</italic> stress, fluid pressure, hydration stress, and capillary force, was established to reveal the propagation mechanism of hydration fracture. Results could enlighten us about the formation mechanism of complex hydraulic fractures in shale gas reservoir.</p>
</sec>
<sec id="s2">
<title>Experimental Design</title>
<sec id="s2-1">
<title>Sample Preparation</title>
<p>The main shale gas reservoirs range from the upper Ordovician Wufeng Formation to lower Silurian Longmaxi Formation (<xref ref-type="bibr" rid="B27">Yi et&#x20;al., 2019</xref>). Large shale blocks were collected from Longmaxi shale outcrop in Jiaoshiba Block, Fuling District, Chongqing, China (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>). Then, cylindrical specimens with a diameter of 50&#xa0;mm were cored from shale blocks with the direction parallel to the bedding plane. These cored cylinders were cut and polished into standard specimens (<italic>&#x3d5;</italic>50&#xa0;mm &#xd7; 100&#xa0;mm) (<xref ref-type="bibr" rid="B23">Ulusay and Hudson, 2007</xref>). As shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, nine specimens were prepared ready for experiment. The mineral composition and general mechanical properties were provided in <xref ref-type="table" rid="T1">Table&#x20;1</xref> (<xref ref-type="bibr" rid="B11">Guo et&#x20;al., 2018</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Sampling process: <bold>(A)</bold> Longmaxi shale outcrop, and <bold>(B)</bold> field sampling.</p>
</caption>
<graphic xlink:href="feart-09-759538-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Prepared standard specimens.</p>
</caption>
<graphic xlink:href="feart-09-759538-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Mineral composition and mechanical properties of sampled marine&#x20;shale.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="10" align="left">Mineral composition</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Mineral type</td>
<td align="center">Quartz</td>
<td align="center">Cristobalite</td>
<td align="center">Albite</td>
<td align="center">Calcite</td>
<td align="center">Muscovite</td>
<td align="center">Pyrite</td>
<td align="left">Annite</td>
<td align="left">Ankerite</td>
<td align="left">Clay mineral</td>
</tr>
<tr>
<td align="left">Content (%)</td>
<td align="center">50.23</td>
<td align="center">4.75</td>
<td align="center">17.60</td>
<td align="center">2.60</td>
<td align="center">5.71</td>
<td align="center">5.80</td>
<td align="left">3.83</td>
<td align="left">4.21</td>
<td align="left">5.26</td>
</tr>
<tr>
<td colspan="10" align="left">
<bold>Mechanical properties</bold>
</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Loading direction VS Bedding plane</td>
<td colspan="2" align="center">Strength (MPa)</td>
<td colspan="3" align="center">Young&#x2019;s modulus (GPa)</td>
<td colspan="2" align="left">Poisson&#x2019;s ratio</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Vertical</td>
<td colspan="2" align="center">116.5</td>
<td colspan="3" align="center">15.26</td>
<td colspan="2" align="left">0.275</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Horizontal</td>
<td colspan="2" align="center">86.2</td>
<td colspan="3" align="center">15.95</td>
<td colspan="2" align="left">0.320</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>Experiment Scheme</title>
<p>Three kinds of soaking fluids (distilled water, fracturing fluid, and mineral oil) were selected to study the crack induced by hydration in shale. Mineral oil is a kind of liquid that contains no water. So, hydration effect would not occur for specimens soaking in it, which could be regarded as a control group. The fracturing fluid was a kind of slick water applied on site, where some additives (0.1% drag reducer, 0.2% anti-swelling agent, 0.1% synergistic agent, 0.02% anti-foaming agent) were added. MOBIL NUTO H46 was selected as mineral oil. As listed in <xref ref-type="table" rid="T2">Table&#x20;2</xref>, all nine specimens were divided into three groups and put into each of the three soaking fluids.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Allocation of specimens according to three types of soaking fluids.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Soaking fluids</th>
<th align="center">Distilled water</th>
<th align="center">Fracturing fluid</th>
<th align="center">Mineral oil</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">Serial numbers of the specimens</td>
<td align="center">J-1-1</td>
<td align="center">J-2-1</td>
<td align="center">J-3-1</td>
</tr>
<tr>
<td align="center">J-1-2</td>
<td align="center">J-2-2</td>
<td align="center">J-3-2</td>
</tr>
<tr>
<td align="center">J-1-3</td>
<td align="center">J-2-3</td>
<td align="center">J-3-3</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Test procedures are as follow:<list list-type="simple">
<list-item>
<p>1) Photograph the upper and lower faces of each specimen by high resolution camera to record the initial state of crack distribution.</p>
</list-item>
<list-item>
<p>2) Put each group of specimens into three vessels that contain different soaking fluids, guarantee all specimens are completely submerged.</p>
</list-item>
<list-item>
<p>3) After soaking for a certain time, take specimens out of the fluids and photograph the upper and lower faces of each specimen, then put specimens into the liquid again and keep on soaking. The time-points of taking out and photographing are set to 0, 2, 5, 12 and 23&#xa0;h, 1D01, 1D09, 2D09, 4D, 7D01, 8D07 and 10D09&#xa0;h from the test start time (h denotes hour, D represents day). The number of time-points are 12, and the whole observation period exceeds 10&#xa0;days.</p>
</list-item>
<list-item>
<p>4) Import all photographs shot at different time-points into the AutoCAD software, draw and analyze the crack distribution of the upper and lower faces of all specimens.</p>
</list-item>
</list>
</p>
</sec>
</sec>
<sec id="s3">
<title>Experimental Result and Analysis</title>
<sec id="s3-1">
<title>Crack Evolution</title>
<sec id="s3-1-1">
<title>Soaking in Distilled Water</title>
<p>After soaking in distilled water, the hydration fractures in the end faces of shale specimens were fully developed into a state of fracture network. Take the lower face of specimen J-1-2 for example (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>). Before soaking, no fractures could be spotted by naked eyes. 2&#xa0;h later, several fractures appeared parallel to the bedding planes. We called these horizontal fractures. After 5&#xa0;h, the preexisting fractures continued propagating and new fractures were also formed. It was worthwhile to note that a new fracture was approximately vertical to the bedding planes and link up two horizontal fractures. We called it vertical fracture. Fractures were spread all over the end face. In the subsequent period, hydration fractures developed in two patterns: propagating parallel to the bedding planes and fracturing perpendicular to the bedding planes. After soaking 10&#xa0;days and 9&#xa0;h (10D09&#xa0;h), the end face of the specimen showed a state of crisscrossing fracture network.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Crack evolution process in distilled water <bold>(lower face of J-1-2)</bold> (In first line, original photos were showed; in second line, hydration fractures were highlighted by yellow lines in original photos).</p>
</caption>
<graphic xlink:href="feart-09-759538-g003.tif"/>
</fig>
</sec>
<sec id="s3-1-2">
<title>Soaking in Fracturing Fluid</title>
<p>For specimens soaking in fracturing fluid, hydration fractures were developed moderately and mainly paralleled to the bedding planes. Take the lower face of specimen J-2-3 for example (<xref ref-type="fig" rid="F4">Figure&#x20;4</xref>). Originally, there were no obvious fractures in the end face. After soaking 2&#xa0;h, several horizontal fractures were formed in the middle and lower part of the surface. Although continue soaking, rare new fractures were formed in other regions, instead, preexisting fractures kept on propagating and branching. Because of the addition of anti-swelling agent in fracturing fluid, the free swelling of clay minerals was restrained, leading to the relatively moderately developed hydration fractures compared with that immersed in distilled&#x20;water.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Crack evolution process in fracturing fluid <bold>(lower face of J-2-3)</bold>.</p>
</caption>
<graphic xlink:href="feart-09-759538-g004.tif"/>
</fig>
</sec>
<sec id="s3-1-3">
<title>Soaking in Mineral Oil</title>
<p>Entirely different from the specimens immersed in distilled water and fracturing fluid, fractures were rarely developed for specimens soaking in mineral oil. Take the specimen J-3-2 for example (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>). There was one fracture in the upper face before soaking. After soaking 10D09&#xa0;h, only one fracture developed in the middle part of the section and failed to reach the border. For the lower face, no fractures were spotted before test, and only three small fractures were formed after soaking 10D09&#xa0;h.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Crack evolution process in mineral oil (J-3-2).</p>
</caption>
<graphic xlink:href="feart-09-759538-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-2">
<title>Statistical Analysis of Hydration Fractures</title>
<sec id="s3-2-1">
<title>Evolution of the Total Fracture Length</title>
<p>The total length of end face hydration fractures at each soaking time-points were measured in AutoCAD. All data were collected in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. Considering only a few fractures were formed in specimens submerging in mineral oil, fractures in these specimens were not included&#x20;here.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Statistics of length of all hydration crack of specimens soaking in distilled water and fracturing fluid (Unit: mm).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Time points number</th>
<th align="center">0&#xa0;h</th>
<th align="center">2&#xa0;h</th>
<th align="center">5&#xa0;h</th>
<th align="center">12&#xa0;h</th>
<th align="center">23&#xa0;h</th>
<th align="center">1D01&#xa0;h</th>
<th align="center">1D09&#xa0;h</th>
<th align="center">2D09&#xa0;h</th>
<th align="center">4D</th>
<th align="center">7D01&#xa0;h</th>
<th align="center">8D07&#xa0;h</th>
<th align="center">10D09&#xa0;h</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">J-1-1</td>
<td align="left">Upper</td>
<td align="char" char=".">0</td>
<td align="char" char=".">128</td>
<td align="char" char=".">128</td>
<td align="char" char=".">144</td>
<td align="char" char=".">144</td>
<td align="char" char=".">147</td>
<td align="char" char=".">147</td>
<td align="char" char=".">226</td>
<td align="char" char=".">226</td>
<td align="char" char=".">229</td>
<td align="char" char=".">229</td>
<td align="char" char=".">229</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="char" char=".">0</td>
<td align="char" char=".">163</td>
<td align="char" char=".">163</td>
<td align="char" char=".">210</td>
<td align="char" char=".">215</td>
<td align="char" char=".">216</td>
<td align="char" char=".">216</td>
<td align="char" char=".">230</td>
<td align="char" char=".">306</td>
<td align="char" char=".">331</td>
<td align="char" char=".">337</td>
<td align="char" char=".">340</td>
</tr>
<tr>
<td rowspan="2" align="left">J-1-2</td>
<td align="left">Upper</td>
<td align="char" char=".">0</td>
<td align="char" char=".">106</td>
<td align="char" char=".">119</td>
<td align="char" char=".">128</td>
<td align="char" char=".">140</td>
<td align="char" char=".">140</td>
<td align="char" char=".">163</td>
<td align="char" char=".">188</td>
<td align="char" char=".">190</td>
<td align="char" char=".">190</td>
<td align="char" char=".">202</td>
<td align="char" char=".">205</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="char" char=".">0</td>
<td align="char" char=".">223</td>
<td align="char" char=".">295</td>
<td align="char" char=".">308</td>
<td align="char" char=".">308</td>
<td align="char" char=".">313</td>
<td align="char" char=".">330</td>
<td align="char" char=".">330</td>
<td align="char" char=".">342</td>
<td align="char" char=".">390</td>
<td align="char" char=".">404</td>
<td align="char" char=".">420</td>
</tr>
<tr>
<td rowspan="2" align="left">J-1-3</td>
<td align="left">Upper</td>
<td align="char" char=".">0</td>
<td align="char" char=".">189</td>
<td align="char" char=".">207</td>
<td align="char" char=".">218</td>
<td align="char" char=".">225</td>
<td align="char" char=".">225</td>
<td align="char" char=".">225</td>
<td align="char" char=".">269</td>
<td align="char" char=".">276</td>
<td align="char" char=".">292</td>
<td align="char" char=".">292</td>
<td align="char" char=".">301</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="char" char=".">49</td>
<td align="char" char=".">193</td>
<td align="char" char=".">237</td>
<td align="char" char=".">237</td>
<td align="char" char=".">258</td>
<td align="char" char=".">258</td>
<td align="char" char=".">266</td>
<td align="char" char=".">281</td>
<td align="char" char=".">287</td>
<td align="char" char=".">287</td>
<td align="char" char=".">293</td>
<td align="char" char=".">301</td>
</tr>
<tr>
<td rowspan="2" align="left">J-2-1</td>
<td align="left">Upper</td>
<td align="char" char=".">11</td>
<td align="char" char=".">169</td>
<td align="char" char=".">186</td>
<td align="char" char=".">186</td>
<td align="char" char=".">186</td>
<td align="char" char=".">186</td>
<td align="char" char=".">186</td>
<td align="char" char=".">211</td>
<td align="char" char=".">211</td>
<td align="char" char=".">214</td>
<td align="char" char=".">214</td>
<td align="char" char=".">214</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="char" char=".">0</td>
<td align="char" char=".">233</td>
<td align="char" char=".">245</td>
<td align="char" char=".">258</td>
<td align="char" char=".">262</td>
<td align="char" char=".">274</td>
<td align="char" char=".">274</td>
<td align="char" char=".">274</td>
<td align="char" char=".">276</td>
<td align="char" char=".">276</td>
<td align="char" char=".">282</td>
<td align="char" char=".">282</td>
</tr>
<tr>
<td rowspan="2" align="left">J-2-2</td>
<td align="left">Upper</td>
<td align="char" char=".">30</td>
<td align="char" char=".">207</td>
<td align="char" char=".">211</td>
<td align="char" char=".">232</td>
<td align="char" char=".">239</td>
<td align="char" char=".">239</td>
<td align="char" char=".">239</td>
<td align="char" char=".">263</td>
<td align="char" char=".">264</td>
<td align="char" char=".">268</td>
<td align="char" char=".">271</td>
<td align="char" char=".">271</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="char" char=".">23</td>
<td align="char" char=".">191</td>
<td align="char" char=".">233</td>
<td align="char" char=".">233</td>
<td align="char" char=".">248</td>
<td align="char" char=".">251</td>
<td align="char" char=".">251</td>
<td align="char" char=".">255</td>
<td align="char" char=".">259</td>
<td align="char" char=".">259</td>
<td align="char" char=".">266</td>
<td align="char" char=".">266</td>
</tr>
<tr>
<td rowspan="2" align="left">J-2-3</td>
<td align="left">Upper</td>
<td align="char" char=".">0</td>
<td align="char" char=".">145</td>
<td align="char" char=".">166</td>
<td align="char" char=".">166</td>
<td align="char" char=".">170</td>
<td align="char" char=".">179</td>
<td align="char" char=".">179</td>
<td align="char" char=".">188</td>
<td align="char" char=".">199</td>
<td align="char" char=".">203</td>
<td align="char" char=".">203</td>
<td align="char" char=".">219</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="char" char=".">49</td>
<td align="char" char=".">76</td>
<td align="char" char=".">129</td>
<td align="char" char=".">142</td>
<td align="char" char=".">145</td>
<td align="char" char=".">145</td>
<td align="char" char=".">155</td>
<td align="char" char=".">163</td>
<td align="char" char=".">163</td>
<td align="char" char=".">163</td>
<td align="char" char=".">179</td>
<td align="char" char=".">181</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For specimens soaking in distilled water, the length of hydration fractures grew rapidly in the early 5&#xa0;h, then slowed down, and gradually reached a plateau. Finally, the total length of hydration fractures distributed between 150 and 450&#x20;mm (<xref ref-type="fig" rid="F6">Figure&#x20;6</xref>). The average value of the six end faces was 299&#xa0;mm. This indicated that the major part of hydration fractures was formed in the early period.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Increase of the length of hydration fractures soaking in distilled water with time: <bold>(A)</bold> complete period, and <bold>(B)</bold> the first&#x20;day.</p>
</caption>
<graphic xlink:href="feart-09-759538-g006.tif"/>
</fig>
<p>As illustrated in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>, the evolution of the length of hydration fractures soaking in fracturing fluid was similar to those submerging in distilled water. The length of hydration fractures grew rapidly in the early 5&#xa0;h, then slowed down, and finally became stable. The final hydration fracture length was distributed between 150 and 300&#xa0;mm. The average value of the six end faces was 239&#xa0;mm, decreased by 20% compared with that soaking in distilled&#x20;water.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Increase of the length of hydration fractures soaking in fracturing fluid with time: <bold>(A)</bold> complete period, and <bold>(B)</bold> the first&#x20;day.</p>
</caption>
<graphic xlink:href="feart-09-759538-g007.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>Evolution of the Vertical Fractures</title>
<p>It is worth considering that vertical fractures (fractures perpendicular to bedding planes) developed in some end faces of specimens and made the fracture system more complicated. Therefore, it was valuable to count and analyze the evolution of vertical fractures. Statistical data of vertical fractures were listed in <xref ref-type="table" rid="T4">Table&#x20;4</xref>. For specimens soaking in distilled water, four out of six end faces developed vertical fractures and the total fracture length were greater than those not forming vertical fractures. For specimens submerging in fracturing fluid, only one out of six end faces developed vertical fractures. The occurrence time of vertical fractures distributed between 5&#xa0;h and 4&#xa0;days. The proportion of length of vertical fractures was 3&#x2013;13%, which was relatively&#x20;small.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Statistics of length of vertical hydration crack of specimens soaking in purified water and fracturing fluid (Unit: mm).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" colspan="2" align="left">Number</th>
<th rowspan="2" align="center">Soaking fluids</th>
<th colspan="3" align="center">Vertical fractures</th>
<th rowspan="2" align="center">Total length of all fractures</th>
<th rowspan="2" align="center">Proportion of vertical fractures</th>
</tr>
<tr>
<th align="center">Whether occur</th>
<th align="center">Occurrence time</th>
<th align="center">Length</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">J-1-1</td>
<td align="left">Upper</td>
<td rowspan="6" align="left">Distilled water</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">229</td>
<td align="center">---</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="left">Yes</td>
<td align="center">2D09&#xa0;h</td>
<td align="char" char=".">37</td>
<td align="char" char=".">340</td>
<td align="char" char=".">11%</td>
</tr>
<tr>
<td rowspan="2" align="left">J-1-2</td>
<td align="left">Upper</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">205</td>
<td align="center">---</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="left">Yes</td>
<td align="center">5&#xa0;h</td>
<td align="char" char=".">56</td>
<td align="char" char=".">420</td>
<td align="char" char=".">13%</td>
</tr>
<tr>
<td rowspan="2" align="left">J-1-3</td>
<td align="left">Upper</td>
<td align="left">Yes</td>
<td align="center">23&#xa0;h</td>
<td align="char" char=".">23</td>
<td align="char" char=".">301</td>
<td align="char" char=".">8%</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="left">Yes</td>
<td align="center">4D</td>
<td align="char" char=".">11</td>
<td align="char" char=".">301</td>
<td align="char" char=".">4%</td>
</tr>
<tr>
<td rowspan="2" align="left">J-2-1</td>
<td align="left">Upper</td>
<td rowspan="6" align="left">Fracturing fluid</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">214</td>
<td align="center">---</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">282</td>
<td align="center">---</td>
</tr>
<tr>
<td rowspan="2" align="left">J-2-2</td>
<td align="left">Upper</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">271</td>
<td align="center">---</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="left">Yes</td>
<td align="center">2D09&#xa0;h</td>
<td align="char" char=".">9</td>
<td align="char" char=".">266</td>
<td align="char" char=".">3%</td>
</tr>
<tr>
<td rowspan="2" align="left">J-2-3</td>
<td align="left">Upper</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">219</td>
<td align="center">---</td>
</tr>
<tr>
<td align="left">Lower</td>
<td align="left">No</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="char" char=".">181</td>
<td align="center">---</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s4">
<title>Propagating Model of the Hydration Fracture</title>
<p>By investigating microstructure change during shale hydration, <xref ref-type="bibr" rid="B22">Shi et&#x20;al. (2012)</xref> argued that capillary force induced by microfractures in shale promoted the hydration of clay mineral. Meanwhile, hydration in turn accelerated the propagation of microfractures. This mutual promotion mechanism leads to the rapid evolution of hydration cracks. For this reason, a fracture propagation model considering hydration and capillary effect were established based on the theory of fracture mechanics (<xref ref-type="bibr" rid="B2">Anderson, 2005</xref>), and the promoting mechanism of hydration and capillary effect to fracture propagation were analyzed in a mechanical&#x20;view.</p>
<p>The mechanical model is based on the following assumptions:<list list-type="simple">
<list-item>
<p>1) An infinite homogeneous medium contains a finite fracture;</p>
</list-item>
<list-item>
<p>2) The medium behaves in a linear elastic response to loading;</p>
</list-item>
<list-item>
<p>3) The fracture width is small enough to cause notable capillary effects;</p>
</list-item>
<list-item>
<p>4) Fluid pressure and hydration stress both distribute uniformly along fracture surface.</p>
</list-item>
</list>
</p>
<p>By considering hydration and capillary effects, the stress intensity factor (SIF) at fracture tip is determined by remote <italic>in-situ</italic> stress, fluid pressure, hydration stress and capillary force (see <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>).<list list-type="simple">
<list-item>
<p>1) SIF induced by <italic>in-situ</italic> stress</p>
</list-item>
</list>
<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
<mml:msqrt>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>Where <italic>&#x3c3;</italic> is the remote <italic>in-situ</italic> stress perpendicular to fracture face, MPa; <italic>a</italic> is the half length of the micro fracture, m.<list list-type="simple">
<list-item>
<p>2) SIF induced by fluid pressure</p>
</list-item>
</list>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mi>&#x3c0;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
<mml:mi>arcsin</mml:mi>
<mml:mfrac>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>Where <italic>p</italic>
<sub>
<italic>f</italic>
</sub> is the fluid pressure in fracture, MPa; <italic>b</italic> is the half length of infiltration area, m.<list list-type="simple">
<list-item>
<p>3) SIF induced by hydration stress</p>
</list-item>
</list>
</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Force analysis of hydration fracture.</p>
</caption>
<graphic xlink:href="feart-09-759538-g008.tif"/>
</fig>
<p>Hydration force are the result of swelling of clay mineral. Assume the clay mineral is distributed evenly in shale, and the hydration stress <italic>&#x3c3;</italic>
<sub>
<italic>w</italic>
</sub> spread uniformly in fracture surface, the model &#x2160; SIF can be described by<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mtext>&#x3c0;</mml:mtext>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
<mml:mi>arcsin</mml:mi>
<mml:mfrac>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>4) SIF induced by capillary&#x20;force</p>
</list-item>
</list>
</p>
<p>By simplifying the micro-fracture faces as parallel-plate, capillary force could be calculated by<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3b3;</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:mi>W</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>Where <italic>F</italic> is capillary force, N; <italic>&#x3b8;</italic> is contact angle, &#xb0;; <italic>W</italic> is fracture width, m; <italic>&#x3b3;</italic> is surface tension of water, N/m (<xref ref-type="fig" rid="F9">Figure&#x20;9</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Force analysis of capillary effect.</p>
</caption>
<graphic xlink:href="feart-09-759538-g009.tif"/>
</fig>
<p>Fracture surface would bear the counter force of capillary force, <italic>F</italic>cos<italic>&#x3b8;</italic>. SIF induced by this counter force is<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>4</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>cos</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mi>W</mml:mi>
</mml:mfrac>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>b</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>The superposition of the above 4 parts results in the final mode &#x2160; SIF.<disp-formula id="e6">
<mml:math id="m6">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>4</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msubsup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
<mml:msqrt>
<mml:mrow>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msqrt>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mtext>&#x3c0;</mml:mtext>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
<mml:mi>arcsin</mml:mi>
<mml:mfrac>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>cos</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mi>W</mml:mi>
</mml:mfrac>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>b</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Without considering the influence of <italic>in-situ</italic> stress and fluid pressure, assume the half length of micro-fracture is 0.005&#xa0;m, half-length of infiltration area is 0.004&#xa0;m, fracture with is 0.001&#xa0;m, contact angle is 15&#xb0;, surface tension is 0.0728&#xa0;N/m, hydration stress is 1&#xa0;MPa, the SIF induced by hydration and capillary effects is 3.613&#xa0;MPa&#xa0;m<sup>1/2</sup>. <xref ref-type="bibr" rid="B12">Heng et&#x20;al. (2015)</xref> got the fracture toughness of shale (0.566&#xa0;MPa&#xa0;m<sup>1/2</sup> along the bedding plane and 1.146&#xa0;MPa&#xa0;m<sup>1/2</sup> perpendicular the bedding plane) by performing three-point bending test. By comparing this with previous study, it is apparently that the SIF caused by hydration stress and capillary force is greater than the measured fracture toughness and the micro-fracture would probably propagate.</p>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<p>Fracture propagation caused by hydration might play a key role in the formation of fracture network in shale gas extraction. As the major hydraulic fracture extends in the vertical or transverse direction, hydration fracture would form along the direction of bedding plane in the face of fracture. High fluid pressure and capillary induced hydration effect promotes fracture propagation along bedding-plane to the deeper shale reservoir. Micro hydration fracture would gradually develop into macro-crack which is a part of the whole hydraulic fractures. Finally, a 3-D stimulated volume would form, where major hydraulic fractures propagate along the direction of fracture height and length and secondary fractures extend along the direction of bedding planes (<xref ref-type="fig" rid="F10">Figure&#x20;10</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Influence of hydration fracture to hydraulic fracturing.</p>
</caption>
<graphic xlink:href="feart-09-759538-g010.tif"/>
</fig>
<p>Another import change is the reservoir stiffness. Shale formation that has been hydro-fractured is no longer an intact rock mass. Its strength, Youngs Modulus would reduce to some extent, and the permeability might increase. All these would bring critical influence on the follow-up fracturing and refracturing <xref ref-type="bibr" rid="B34">Wang et al., 2020</xref>.</p>
<p>It is a very interesting phenomenon that vertical cracks (fractures perpendicular to the bedding planes) occurred with horizontal (along bedding) fractures. Further analysis indicated that the occurrence time of vertical fractures distributed between 5&#xa0;h and 4&#xa0;days, at which the horizontal fractures had already been fully developed. It seems the horizontal and vertical fractures appeared in chronological order. As shown in <xref ref-type="fig" rid="F11">Figure&#x20;11</xref>, the clay minerals usually arranged directionally along shale bedding planes. During the initial hydration process, the water absorption of clay minerals could induce great swelling stress to open the bedding planes. So, horizontal fractures along bedding planes would occur first and fully develop. Furthermore, the fully developed horizontal cracks promoted continuous hydration and swelling of clay minerals. This process could produce tensile stress along horizontal fracture surface and then induce the crack initiation and propagation perpendicular to the bedding planes, which contributed to forming the vertical cracks.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Sketch map of the evolution of hydration fractures.</p>
</caption>
<graphic xlink:href="feart-09-759538-g011.tif"/>
</fig>
<p>The application of water based fracturing fluid could induce abundant hydration cracks to increase the fracture complexity of fracking. But complex fractures would not surely represent high conductivity. The permeability damage caused by the swelling of clay mineral should also be evaluated, which is one of the critical disadvantages of the application of water based fracturing fluid <xref ref-type="bibr" rid="B33">Cong et al., 2022</xref>. Extra permeability tests should be conducted. The ideal water based fracturing fluid should not only create complex fractures, but also keep good fracture conductivity.</p>
<p>Although the evolution of hydration cracks was studied in this experiment, several limitations should be clarified to guide future research. Firstly, the test was conducted at room temperature and pressure, which ignored the high temperature and high pressure formation environment (<xref ref-type="bibr" rid="B24">Wang et&#x20;al., 2021</xref>). Secondly, we only described the surface crack evolution, and failed to present the crack propagation inside the sample, which could be revealed by CT scanning (<xref ref-type="bibr" rid="B16">Ma and Chen, 2014</xref>; (<xref ref-type="bibr" rid="B18">Ma et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B29">Zhang and Sheng, 2017</xref>). Finally, the anisotropic bedding structure of shale was not considered in theoretical analysis (<xref ref-type="bibr" rid="B10">Gui et&#x20;al., 2018</xref>; (<xref ref-type="bibr" rid="B17">Ma et&#x20;al., 2021</xref>). Restricted to experiment condition, the above aspects were not realized and would be paid attention in future&#x20;study.</p>
</sec>
<sec sec-type="conclusion" id="s6">
<title>Conclusion</title>
<p>Shale hydration fractures not only threaten wellbore stability, but also influence the effect of reservoir stimulation. By performing shale soaking experiment in three different fluids, conclusions are as follows:<list list-type="simple">
<list-item>
<p>1) For specimens soaking in distilled water, hydration fractures were extremely developed and evenly distributed in a state of network, and their final average cumulative length were 299&#xa0;mm.</p>
</list-item>
<list-item>
<p>2) For specimens soaking in fracturing fluid, hydration fractures were moderately developed and local accumulated, the final average cumulative length were 239&#xa0;mm. The addition of anti-swelling agent remarkably restrained the free swelling of clay minerals. Fractures were rarely developed for specimens soaking in mineral&#x20;oil.</p>
</list-item>
<list-item>
<p>3) The hydration fractures were mainly formed in the first 5&#xa0;h and showed strong anisotropy. Cracks parallel to the bedding plane accounted for the vast majority, with a small proportion developed in vertical direction.</p>
</list-item>
<list-item>
<p>4) Theoretical calculations indicated that the stress intensity factor (SIF) caused by hydration stress and capillary force was greater than the measured fracture toughness. The micro crack would probably propagate along bedding plane and grow up into macro horizontal fractures, which promoted the formation of crisscrossing fracture network in shale gas formation</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec id="s7">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>LW: Formal analysis; Writing&#x2014;original draft. ZB: Writing&#x2014;review and; editing. YZ: Acquisition and analysis of data. GY: Data curation. YG: Conceptualization; Methodology. HY: Design of the experiment.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was sponsored by the &#x201c;Sinopec Science and Technology Department Project&#x201d; (P21056). The open access publication fees is provided by this&#x20;fund.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>Authors YZ and GY were employed by Sinopec.</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>
<sec id="s12">
<title>Abbreviations</title>
<p>
<inline-formula id="inf1">
<mml:math id="m7">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, Stress intensity factor (SIF) induced by <italic>in-situ</italic> stress MPa&#x2022;m<sup>1/2</sup>; <inline-formula id="inf2">
<mml:math id="m8">
<mml:mi>&#x3c3;</mml:mi>
</mml:math>
</inline-formula>, Remote <italic>in-situ</italic> stress perpendicular to fracture face MPa; <inline-formula id="inf3">
<mml:math id="m9">
<mml:mi>a</mml:mi>
</mml:math>
</inline-formula>Half-length of the micro fracture m; <inline-formula id="inf4">
<mml:math id="m10">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>SIF induced by fluid pressure MPa&#x2022;m<sup>1/2</sup>; <inline-formula id="inf5">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>Fluid pressure in fracture MPa; <inline-formula id="inf6">
<mml:math id="m12">
<mml:mi>b</mml:mi>
</mml:math>
</inline-formula>Half-length of infiltration area m.; <inline-formula id="inf7">
<mml:math id="m13">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>SIF induced by hydration stress MPa&#x2022;m<sup>1/2</sup>; <inline-formula id="inf8">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>Hydration stress MPa; <inline-formula id="inf9">
<mml:math id="m15">
<mml:mi>F</mml:mi>
</mml:math>
</inline-formula>Capillary force, N; <inline-formula id="inf10">
<mml:math id="m16">
<mml:mi>&#x3b3;</mml:mi>
</mml:math>
</inline-formula>Surface tension of water N/m; <inline-formula id="inf11">
<mml:math id="m17">
<mml:mi>&#x3b8;</mml:mi>
</mml:math>
</inline-formula>Contact angle &#xb0;; <inline-formula id="inf12">
<mml:math id="m18">
<mml:mi>W</mml:mi>
</mml:math>
</inline-formula>Fracture width m; <inline-formula id="inf13">
<mml:math id="m19">
<mml:mrow>
<mml:msubsup>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>4</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>SIF induced by capillary force MPa&#x2022;m<sup>1/2</sup>; <inline-formula id="inf14">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>I</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>Totality of SIF MPa&#x2022;m<sup>1/2</sup>; <inline-formula id="inf15">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>V</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>Vertical principal stress MPa; <inline-formula id="inf16">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>Horizontal minimum principal stress&#x20;MPa.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>An</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ge</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>An Environmental Friendly and Biodegradable Shale Inhibitor Based on Chitosan Quaternary Ammonium Salt</article-title>. <source>J.&#x20;Pet. Sci. Eng.</source> <volume>135</volume>, <fpage>253</fpage>&#x2013;<lpage>260</lpage>. <pub-id pub-id-type="doi">10.1016/j.petrol.2015.09.005</pub-id> </citation>
</ref>
<ref id="B2">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Anderson</surname>
<given-names>T. L.</given-names>
</name>
</person-group> (<year>2005</year>). <source>Fracture Mechanics-Fundamentals and Applications</source>. <publisher-loc>Boca Raton</publisher-loc>: <publisher-name>CRC Press</publisher-name>. </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Barati</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Shahbazi</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kamari</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Aghajafari</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Shale Hydration Inhibition Characteristics and Mechanism of a New Amine-Based Additive in Water-Based Drilling Fluids</article-title>. <source>Petroleum</source> <volume>3</volume>, <fpage>476</fpage>&#x2013;<lpage>482</lpage>. <pub-id pub-id-type="doi">10.1016/j.petlm.2017.05.003</pub-id> </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<collab>CHENEVERT ME</collab> (<year>1970</year>). <article-title>Shale Alteration by Water Adsorption</article-title>. <source>J.&#x20;Pet. Tech.</source> <volume>22</volume>, <fpage>1141</fpage>&#x2013;<lpage>1148</lpage>. <pub-id pub-id-type="doi">10.2118/2401-pa</pub-id> </citation>
</ref>
<ref id="B5">
<citation citation-type="web">
<collab>Cnr</collab> (<year>2021</year>). <article-title>The Growth Rate of Shale Gas Production in China Exceeded 30% in 2020</article-title>. <comment>Available at: <ext-link ext-link-type="uri" xlink:href="http://baijiahao.baidu.com/s?id=1691230280447523341&amp;wfr=spider&amp;for=pc">http://baijiahao.baidu.com/s?id&#x3d;1691230280447523341&#x26;wfr&#x3d;spider&#x26;for&#x3d;pc</ext-link>
</comment>. </citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cong</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Study on CO2 foam fracturing model and fracture propagation simulation</article-title>. <source>Energy</source> <volume>338</volume>, <fpage>121778</fpage>. <pub-id pub-id-type="doi">10.1016/j.energy.2021.121778</pub-id> </citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<collab>DARLEY HCH</collab> (<year>1969</year>). <article-title>A Laboratory Investigation of Borehole Stability</article-title>. <source>J.&#x20;Pet. Tech.</source> <volume>21</volume>, <fpage>883</fpage>&#x2013;<lpage>892</lpage>. <pub-id pub-id-type="doi">10.2118/2400-pa</pub-id> </citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dehghanpour</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Lan</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Saeed</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Fei</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Spontaneous Imbibition of Brine and Oil in Gas Shales: Effect of Water Adsorption and Resulting Microfractures</article-title>. <source>Energy Fuels</source> <volume>27</volume>, <fpage>3039</fpage>&#x2013;<lpage>3049</lpage>. <pub-id pub-id-type="doi">10.1021/ef4002814</pub-id> </citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Deville</surname>
<given-names>J.&#x20;P.</given-names>
</name>
<name>
<surname>Fritz</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Jarrett</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Development of Water-Based Drilling Fluids Customized for Shale Reservoirs</article-title>. <source>SPE Drilling and Completion</source> <volume>26</volume>, <fpage>484</fpage>&#x2013;<lpage>491</lpage>. <pub-id pub-id-type="doi">10.2118/140868-PA</pub-id> </citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dokhani</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Takach</surname>
<given-names>N. E.</given-names>
</name>
<name>
<surname>Bloys</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>The Role of Moisture Adsorption in Wellbore Stability of Shale Formations: Mechanism and Modeling</article-title>. <source>J.&#x20;Nat. Gas Sci. Eng.</source> <volume>27</volume>, <fpage>168</fpage>&#x2013;<lpage>177</lpage>. <pub-id pub-id-type="doi">10.1016/j.jngse.2015.08.056</pub-id> </citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gui</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Anisotropic Damage to Hard Brittle Shale with Stress and Hydration Coupling</article-title>. <source>Energies</source> <volume>11</volume>, <fpage>1</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.3390/en11040926</pub-id> </citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Effects of Cyclic Loading on the Mechanical Properties of Mature Bedding Shale</article-title>. <source>Adv. Civil Eng.</source> <volume>2018</volume>, <fpage>9</fpage>. <pub-id pub-id-type="doi">10.1155/2018/8985973</pub-id> </citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heng</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Influence of Bedding Planes on Hydraulic Fracture Propagation in Shale Formations</article-title>. <source>Chin. J.&#x20;Rock Mech. Eng.</source> <volume>34</volume>, <fpage>228</fpage>&#x2013;<lpage>237</lpage>. <pub-id pub-id-type="doi">10.13722/j.cnki.jrme.2015.02.002</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Ji</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Geehan</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2013</year>). &#x201c;<article-title>Shale Failure Around Hydraulic Fractures in Water Fracturing of Gas Shale</article-title>,&#x201d; in <conf-name>SPE Canadian Unconventional Resources Conference 2013 - Unconventional Becoming Conventional: Lessons Learned and New Innovations</conf-name> (<publisher-loc>Calgary, Alberta, Canada</publisher-loc>: <publisher-name>Society of Petroleum Engineers</publisher-name>), <fpage>406</fpage>&#x2013;<lpage>416</lpage>. <pub-id pub-id-type="doi">10.2118/167155-ms</pub-id> </citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>You</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Quantitative Characterization of Micro Forces in Shale Hydration and Field Applications</article-title>. <source>Pet. Exploration Develop.</source> <volume>44</volume>, <fpage>328</fpage>&#x2013;<lpage>335</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(17)30038-1</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Xiong</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Experimental Study on Crack Propagation in Shale Formations Considering Hydration and Wettability</article-title>. <source>J.&#x20;Nat. Gas Sci. Eng.</source> <volume>23</volume>, <fpage>492</fpage>&#x2013;<lpage>499</lpage>. <pub-id pub-id-type="doi">10.1016/j.jngse.2015.02.032</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Study of Meso-Damage Characteristics of Shale Hydration Based on CT Scanning Technology</article-title>. <source>Pet. Exploration Develop.</source> <volume>41</volume>, <fpage>249</fpage>&#x2013;<lpage>256</lpage>. <pub-id pub-id-type="doi">10.1016/S1876-3804(14)60029-X</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Gui</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Logging Evaluation on Mechanical-Damage Characteristics of the Vicinity of the Wellbore in Tight Reservoirs</article-title>. <source>J.&#x20;Petrol. Explor Prod. Technol.</source> <volume>11</volume>, <fpage>3213</fpage>&#x2013;<lpage>3224</lpage>. <pub-id pub-id-type="doi">10.1007/s13202-021-01200-7</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>On the Damage Constitutive Model for Hydrated Shale Using CT Scanning Technology</article-title>. <source>J.&#x20;Nat. Gas Sci. Eng.</source> <volume>28</volume>, <fpage>204</fpage>&#x2013;<lpage>214</lpage>. <pub-id pub-id-type="doi">10.1016/j.jngse.2015.11.025</pub-id> </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Morsy</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sheng</surname>
<given-names>J.&#x20;J.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Effect of Water Salinity on Shale Reservoir Productivity</article-title>. <source>Adv. Pet. Exploration Develop.</source> <volume>8</volume>, <fpage>9</fpage>&#x2013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.3968/5604</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Riley</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Stamatakis</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Young</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Price Hoelsher</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>De Stefano</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Friedheim</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2012</year>). &#x201c;<article-title>Wellbore Stability in Unconventional Shale - The Design of a Nano-Particle Fluid</article-title>,&#x201d; in <conf-name>Oil and Gas India Conference and Exhibition 2012, OGIC - Further, Deeper, Tougher: The Quest Continues.</conf-name> (<publisher-loc>Mumbai, India</publisher-loc>: <publisher-name>Society of Petroleum Engineers - SPE</publisher-name>), <fpage>416</fpage>&#x2013;<lpage>423</lpage>. <pub-id pub-id-type="doi">10.2118/153729-ms</pub-id> </citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Roshan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ehsani</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Marjo</surname>
<given-names>C. E.</given-names>
</name>
<name>
<surname>Andersen</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Acworth</surname>
<given-names>R. I.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Mechanisms of Water Adsorption into Partially Saturated Fractured Shales: An Experimental Study</article-title>. <source>Fuel</source> <volume>159</volume>, <fpage>628</fpage>&#x2013;<lpage>637</lpage>. <pub-id pub-id-type="doi">10.1016/j.fuel.2015.07.015</pub-id> </citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shi</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>CT Imaging and Mechanism Analysis of Crack Development by Hydration in Hard-Brittle Shale Formations</article-title>. <source>Acta Petrolei Sinica</source> <volume>33</volume>, <fpage>137</fpage>&#x2013;<lpage>142</lpage>. </citation>
</ref>
<ref id="B23">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Ulusay</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Hudson</surname>
<given-names>J.&#x20;A.</given-names>
</name>
</person-group> (<year>2007</year>). <source>The Complete ISRM Suggested Methods for Rock Characterization, Testing and Monitoring; 1974&#x2013;2006</source>. <publisher-loc>Cham, Switzerland</publisher-loc>: <publisher-name>International Society for Rock Mechanics</publisher-name>. </citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Xiao</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Rock Mechanical Characteristics of Deep marine Shale in Southern China, a Case Study in Dingshan Block</article-title>. <source>J.&#x20;Pet. Sci. Eng.</source> <volume>204</volume>, <fpage>108699</fpage>. <pub-id pub-id-type="doi">10.1016/j.petrol.2021.108699</pub-id> </citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Dai</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Technology of Bridge Plug and Multi-cluster Perforation and Its Application in Shale Gas of Sichuan and Chongqing Area</article-title>. <source>Well Logging Technol</source> <volume>41</volume>, <fpage>373</fpage>-<lpage>377</lpage>. </citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Geng</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Bai</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Evaluation Method of Shale Brittleness Index</article-title>. <source>Well Logging Technol</source> <volume>44</volume>, <fpage>294</fpage>-<lpage>299</lpage>. <pub-id pub-id-type="doi">10.16489/j.issn.1004-1338.2017.03.023</pub-id> </citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Shale Gas Exploitation: Status, Issues and Prospects</article-title>. <source>Nat. Gas Industry</source> <volume>37</volume>, <fpage>115</fpage>&#x2013;<lpage>130</lpage>. <pub-id pub-id-type="doi">10.3787/j.issn.1000-0976.2017.06.016</pub-id> </citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wen</surname>
<given-names>H.</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>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ge</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Water Activity Characteristics of Deep Brittle Shale from Southwest China</article-title>. <source>Appl. Clay Sci.</source> <volume>108</volume>, <fpage>165</fpage>&#x2013;<lpage>172</lpage>. <pub-id pub-id-type="doi">10.1016/j.clay.2015.02.015</pub-id> </citation>
</ref>
<ref id="B27">
<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="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yuyang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Xinhua</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Xiaowei</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Lixia</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Rongze</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Shale Gas Well Flowback Rate Prediction for Weiyuan Field Based on a Deep Learning Algorithm</article-title>. <source>J.&#x20;Pet. Sci. Eng.</source> <volume>203</volume>, <fpage>108637</fpage>. <pub-id pub-id-type="doi">10.1016/j.petrol.2021.108637</pub-id> </citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sheng</surname>
<given-names>J.&#x20;J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Study of the Propagation of Hydration-Induced Fractures in mancos Shale Using Computerized Tomography</article-title>. <source>Int. J.&#x20;Rock Mech. Mining Sci.</source> <volume>95</volume>, <fpage>1</fpage>&#x2013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijrmms.2017.03.011</pub-id> </citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhong</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Qiu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Inhibiting Shale Hydration and Dispersion with Amine-Terminated Polyamidoamine Dendrimers</article-title>. <source>J.&#x20;Nat. Gas Sci. Eng.</source> <volume>28</volume>, <fpage>52</fpage>&#x2013;<lpage>60</lpage>. <pub-id pub-id-type="doi">10.1016/j.jngse.2015.11.029</pub-id> </citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zou</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Z.-Q.</given-names>
</name>
<name>
<surname>Ogg</surname>
<given-names>J.&#x20;G.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Organic-matter-rich Shales of China</article-title>. <source>Earth-Science Rev.</source> <volume>189</volume>, <fpage>51</fpage>&#x2013;<lpage>78</lpage>. <pub-id pub-id-type="doi">10.1016/j.earscirev.2018.12.002</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>