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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2024.1357186</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Durability life evaluation of marine infrastructures built by using carbonated recycled coarse aggregate concrete due to the chloride corrosive environment</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Han</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2075631"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Linjian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2062283"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Guan</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Mingwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ju</surname>
<given-names>Xueli</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2194286"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xiang</surname>
<given-names>Zhouyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2194283"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Xiaohui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Yingying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Long</surname>
<given-names>Jia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Engineering Research Center for Inland Waterway Regulation, School of River and Ocean Engineering, Chongqing Jiaotong University</institution>, <addr-line>Chongqing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>First Design Branch of Water Transport, Sichuan Communication Surveying &amp; Design Institute Co. Ltd.</institution>, <addr-line>Chengdu</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Honglei Sun, Zhejiang University of Technology, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Maria Cruz Alonso, Spanish National Research Council (CSIC), Spain</p>
<p>Chuanqing Fu, Zhejiang University of Technology, China</p>
<p>Chunping Gu, Zhejiang University of Technology, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Linjian Wu, <email xlink:href="mailto:wljabgf@126.com">wljabgf@126.com</email>; Mingwei Liu, <email xlink:href="mailto:mingwei_liu@126.com">mingwei_liu@126.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>11</volume>
<elocation-id>1357186</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Jiang, Wu, Guan, Liu, Ju, Xiang, Jiang, Li and Long</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Jiang, Wu, Guan, Liu, Ju, Xiang, Jiang, Li and Long</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Due to the harsh marine environment of chloride ion invasion and corrosion, the issues of long-term chloride transport and durability life evaluation for marine infrastructures constructed/maintained by recycled aggregate concrete (RAC) after enhancement remain poorly understood. For our studies, an accelerated carbonation modification method for recycled coarse aggregate (RCA) was adopted to prepare carbonated recycled coarse aggregate (CRCA) samples, and the macroproperties, i.e., apparent density and water absorption, of CRCA were enhanced by approximately 1.40-3.97% and 16.3-21.8%, respectively, compared with those of RCA. An in-door experiment for chloride transport into concrete specimens subjected to a simulated marine environment of alternating drying-wetting cycles was conducted. The chloride profiles and transport characteristics of carbonated recycled coarse aggregate concrete (CRCAC), recycled coarse aggregate concrete (RCAC), and natural coarse aggregate concrete (NCAC) were analysed and compared. The results indicated that the chloride penetration depths and concentrations of CRCAC were approximately 52.6-96.2% of those of RCAC, which highlighted the better chloride resistance of CRCAC. A chloride transport model for marine concrete structures with various coarse aggregate types in a corrosive marine environment was established. Taking a certain harbour wharf as an example, the durability life of this case considering the application of the CRCAC was evaluated based on the chloride transport model, and the durability life of the CRCAC structure was improved by approximately 28.10% compared with that of the RCAC. The CRCAC developed in this paper has improved mechanical performance and durability than those of RCAC, and it has the potential to replace the NCAC and further support the construction and maintenance of marine infrastructures.</p>
</abstract>
<kwd-group>
<kwd>marine infrastructures</kwd>
<kwd>carbonated recycled coarse aggregate concrete (CRCAC)</kwd>
<kwd>marine corrosive environment</kwd>
<kwd>chloride transport</kwd>
<kwd>structural durability evaluation</kwd>
</kwd-group>
<counts>
<fig-count count="16"/>
<table-count count="5"/>
<equation-count count="8"/>
<ref-count count="65"/>
<page-count count="16"/>
<word-count count="8504"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Marine Conservation and Sustainability</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Oceans have received considerable attention for their abundant energy, mineral, and biological resources, making the development of marine infrastructures critical for the efficient exploitation of these resources (<xref ref-type="bibr" rid="B3">Bangley et&#xa0;al., 2022</xref>). Marine infrastructures include harbours, seawalls, offshore wind farms, offshore pipelines, tidal stream turbines, oil and gas platforms, cross-sea bridges, subsea tunnels, and so on (Guo et&#xa0;al., 2023). The construction, operation and development of marine infrastructures consume a large amount of the raw materials of reinforced concrete (RC) (<xref ref-type="bibr" rid="B18">He and Lu, 2023</xref>). In the face of the current major strategic requirements for the construction and development of marine infrastructures, as well as the increasing shortages of natural resources, such as aggregates of sand and crushed stone, for producing concrete worldwide, the promotion and utilization of waste concrete to produce/prepare recycled aggregate (RA) and recycled aggregate concrete (RAC) (<xref ref-type="bibr" rid="B12">Feng et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B64">Zhang et&#xa0;al., 2022</xref>) and the further treatment of these materials as concrete raw materials for RC structures of marine infrastructures must be the general trend in the future. This initiative can not only greatly reduce carbon emissions and decrease the exploitation of natural resources but also effectively promote the protection of the marine ecological environment, which has become a hot topic in the field of structures and materials in marine infrastructures worldwide.</p>
<p>However, the mechanical strength and durability (resistance to chloride penetration) of RA and its RAC used in marine infrastructures are worse than those of the natural aggregate and its concrete due to numerous pores and microcracks within the old mortar (OM) and the old interfacial transition zone (OITZ) of RA, as well as the formative multiple mesoscopic interface structure of RAC (see <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The microstructure of ITZ is shown in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1C</bold>
</xref> (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>) and <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref> (<xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>). On the basis of this figure, the ITZ within the RCAs before accelerated carbonation is loose and has obvious cracks. In accordance with <xref ref-type="bibr" rid="B56">Wang et&#xa0;al. (2016)</xref>, the OM and OITZ of RA contain a series of components, including calcium silicate hydrate (C-S-H), calcium hydroxide (Ca(OH)<sub>2</sub>), unhydrated C<sub>3</sub>S, C<sub>2</sub>S, etc. Carbon dioxide (CO<sub>2</sub>) can chemically react with these components and further form dense CaCO<sub>3</sub> and silica gel (SiO<sub>2</sub>&#xb7;nH<sub>2</sub>O), resulting in an increase in the solid phase volumes of the generated products of approximately 11-12% compared with the original components (<xref ref-type="bibr" rid="B32">Liang et&#xa0;al., 2020</xref>); this can further decrease the pores and microcracks within the OM and the OITZ of the RA and improve the microstructure of the RA, thereby enhancing the properties of the RA and its RAC (<xref ref-type="bibr" rid="B52">Tam et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B20">Hosseini Zadeh et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B45">Pu et&#xa0;al., 2021</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Mesoscopic structure of the <bold>(A)</bold> RA, <bold>(B)</bold> RAC, and <bold>(C)</bold> microstructure of the ITZ (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>) and <bold>(D)</bold> microstructure of the ITZ (<xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g001.tif"/>
</fig>
<p>In addition, the issues of marine structural performance deterioration, long-term durability and reliability for coastal reinforced concrete (RC) infrastructures caused by chloride ion invasion exposed to marine environments (<xref ref-type="bibr" rid="B10">Das and Pradhan, 2023</xref>; <xref ref-type="bibr" rid="B29">Lai et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B44">Prusty and Pradhan, 2023</xref>; <xref ref-type="bibr" rid="B55">Wally et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B11">de Vera et&#xa0;al., 2024</xref>) can seriously restrict the practical application of RA and its RAC for construction and development in marine engineering. Therefore, the property enhancement of RA and its RAC, as well as the long-term durability of modified RAC prepared from RA after modification, are considered vital issues that must be urgently researched and resolved to promote the application of RA and its RAC in marine infrastructures.</p>
<p>For RC structures exposed to marine environments, especially those exposed to marine zones with alternating drying-wetting cycles, chloride ion invasion into concrete via multiple transmission mechanisms, including diffusion, convection, etc., is generally considered the vital reason for rebar corrosion, which can risk the long-term durability and reliability of RC structures to a great extent (<xref ref-type="bibr" rid="B14">Gao et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B48">Shen et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B2">Ashrafian et&#xa0;al., 2022</xref>). Many classical studies have reported the transport of chloride ions into fresh natural aggregate concrete composites (<xref ref-type="bibr" rid="B4">Bao et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B39">Ou et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B15">Ga&#x161;p&#xe1;rek et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B43">Pontes et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B46">Qian et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B11">de Vera et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B27">Korec et&#xa0;al., 2024</xref>). However, the RAC contains a new ITZ (NITZ) and an OITZ structure, and the large number of pores and cracks as well as the unhydrated cement particles are included in the NITZ and OITZ; hence, they are regarded as the weakest link within RAC, which can greatly reduce its resistance to chloride ion penetration (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>). Moreover, the multiple interface structural characteristics of RAC can increase the connectivity of its internal pores and microcracks (<xref ref-type="bibr" rid="B37">Ortolan et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B40">Pandey and Rajhans, 2023</xref>), which results in chloride ion transport behaviours in RAC that are more complex than those in natural aggregate concrete (NAC) (<xref ref-type="bibr" rid="B50">Sua-iam and Makul, 2024</xref>).</p>
<p>However, there are few published reports on long-term chloride ion transport characteristics and durability evaluations for marine infrastructures constructed using recycled aggregate concrete based on carbonated recycled aggregate (CRA) exposed to marine environments. The stability and durability of marine infrastructures built from carbonated recycled aggregate concrete (CRAC) in operation remain poorly understood. Consequently, studying the risks and reliability of CRAC structures exposed to marine environments is critical for providing practical insights into protecting the stable operation of marine infrastructures. In summary, to further promote the application of CRA and its CRAC in marine infrastructures, the corresponding key durability issues for CRAC structures, including chloride profiles, transport characteristics and computational models, as well as structural durability evaluations under marine environments, need to be addressed.</p>
<p>In our study, two significant aspects, i.e., chloride transport in carbonated recycled coarse aggregate concrete (CRCAC) and durability evaluation of marine infrastructures using CRCAC in marine drying-wetting environments, were considered. During this paper&#x2019;s investigations, sufficient carbonated recycled coarse aggregate (CRCA) samples with different particle diameters based on the gaseous CO<sub>2</sub> accelerated carbonation method were acquired. Subsequently, the chloride profiles and transport characteristics of concrete cast by various coarse aggregate types, including natural coarse aggregate concrete (NCAC), recycled coarse aggregate concrete (RCAC) and CRCAC, subjected to a simulated marine environment with alternating drying-wetting cycles were analysed and compared. A computational model of chloride transport in concrete considering coarse aggregate types under a marine drying-wetting alternating environment was established, which can be used to estimate the long-term chloride transport behaviours of different concrete types (NCAC, RCAC, and CRCAC), especially for CRCAC. Finally, using the chloride transport computational model proposed in this paper, the durability life of marine infrastructure (an example of a certain harbour wharf) considering the application of the CRCAC was evaluated.</p>
<p>In summary, the significant research contents, objectives and innovations for this paper are highlighted as follows:</p>
<list list-type="simple">
<list-item>
<p>(1) An accelerated carbonation modification method for RCAs is adopted to prepare the CRCA, which can effectively enhance the properties of RCAs after accelerated carbonation.</p>
</list-item>
<list-item>
<p>(2) An in-door experiment for chloride transport into concrete cast by various coarse aggregate types under a simulated marine environment of alternating drying-wetting cycles is conducted, and the chloride profiles and transport characteristics of the NCAC, RCAC and CRCAC are described.</p>
</list-item>
<list-item>
<p>(3) A chloride transport model for marine concrete structures with various coarse aggregate types in a corrosive marine environment is established, and the durability life of a certain harbour wharf hypothetically constructed by the CRCAC is evaluated based on this chloride transport model.</p>
</list-item>
</list>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methodology</title>
<sec id="s2_1">
<label>2.1</label>
<title>Materials</title>
<p>Composite silicate cement, i.e., PC.42.5R, natural crush stones with a particle diameter range of 5-20 mm and continuous grading, freshwater river sand with a fineness modulus of 2.6 and continuous grading, and drinking water with a density of <italic>&#x3c1;<sub>w</sub>
</italic>=1 g/cm<sup>3</sup> were used as the raw materials for casting and preparing sufficient original C40-strength concrete specimens (100&#xd7;100&#xd7;100 mm<sup>3</sup> cube) based on the Chinese standard (<xref ref-type="bibr" rid="B23">JTJ 270-1998, 1998</xref>). The mix proportions for the C40-strength concrete specimens are listed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, and the particle grading distributions of the aggregates in the concrete specimens, including the coarse aggregates and fine aggregates, are shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 1</bold>
</xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Mix proportions of the original concrete for RCA preparation.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">w/c</th>
<th valign="middle" align="center">Cement<break/>(kg/m<sup>3</sup>)</th>
<th valign="middle" align="center">Water<break/>(kg/m<sup>3</sup>)</th>
<th valign="middle" align="center">Fine <break/>aggregate<break/>(kg/m<sup>3</sup>)</th>
<th valign="middle" align="center">Coarse <break/>aggregate<break/>(kg/m<sup>3</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">0.5</td>
<td valign="middle" align="center">390</td>
<td valign="middle" align="center">195</td>
<td valign="middle" align="center">617</td>
<td valign="middle" align="center">1198</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>All C40-strength concrete specimens were cast in plastic moulds and subsequently compacted using a vibrating table. After 24 h of curing at 20 &#xb1; 5&#xb0;C and a relative humidity of approximately 50&#x2013;55%, the concrete specimens were demoulded and transferred to saturated Ca(OH)<sub>2</sub> solutions for 28 days of ageing, and the environmental temperature was set to 20 &#xb1; 3&#xb0;C.</p>
<p>Samples of RCAs with various particle diameters of 5-10 mm, 10-20 mm, and 20-25 mm were acquired through crushing and sieving from the aforementioned original C40-strength concrete specimens by using a crusher (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 2A</bold>
</xref> and Taylor sieve machine (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 2A</bold>
</xref>). These prepared RCA samples were subsequently used for the accelerated carbonation experiment (ACE) of the RCAs.</p>
<p>Moreover, natural coarse aggregate (NCA) samples with identical particle diameters of 5-10 mm, 10-20 mm, and 20-25 mm were acquired by utilizing the identical sieving method of RCA. The prepared samples of recycled coarse aggregate (RCA) and NCA were placed in a drying oven at a constant temperature of 105 &#xb1; 5&#xb0;C for more than 24 h until they reached a constant weight (<xref ref-type="bibr" rid="B58">Wu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B63">Yang et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B25">Ju et&#xa0;al., 2024</xref>), after which they were removed and cooled to the general temperature for subsequent tests, including the ACE of the RCA and initial property measurements of the RCA and NCA.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Methodology</title>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>Preparation of CRCA based on the accelerated carbonation method</title>
<p>The ACE for the RCA samples with various particle diameters based on the accelerated carbonation method was determined by using a carbonation chamber for the cement-based composites, as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 3A</bold>
</xref>. The environmental temperature (ET), relative humidity (RH), and CO<sub>2</sub> concentration were set as constants of 20 &#xb1; 2&#xb0;C, 70 &#xb1; 5%, and 20 &#xb1; 3%, respectively, inside the carbonation chamber (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>). Stainless steel baskets with multiholes of less than 2 mm aperture size were customized and adopted to hold the samples of RCAs with various particle diameters in the carbonation chamber, as demonstrated in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 3B</bold>
</xref>, which ensured better all-round contact between the samples of RCA and CO<sub>2</sub> gas during the ACE of the RCA.</p>
<p>The ACE for the RCA samples was performed in this paper, and the corresponding detailed procedures for the ACE were described by <xref ref-type="bibr" rid="B63">Yang et&#xa0;al. (2023)</xref>. The standard for the end of ACE for the RCA samples was that when the weight of the samples remained basically unchanged, the accelerated carbonation durations for this paper&#x2019;s experiment were all more than 160 min.</p>
<p>The apparent density (<italic>&#x3c1;</italic>
<sub>app</sub>) and water absorption (<italic>W<sub>a</sub>
</italic>) of the RCAs before and after ACE were measured based on the Chinese standard <xref ref-type="bibr" rid="B16">GB/T 14685-2022, 2022</xref> to explore the degree to which the CRCA enhanced the properties, and the specific testing procedures and computational formulas used were described by <xref ref-type="bibr" rid="B58">Wu et&#xa0;al. (2023)</xref>; <xref ref-type="bibr" rid="B63">Yang et&#xa0;al. (2023)</xref>, and <xref ref-type="bibr" rid="B25">Ju et&#xa0;al. (2024)</xref>. Notably, the whole CRCA samples with different particle diameters obtained by RCA after carbonation were put into an oven at a temperature of 105 &#xb1; 5&#xb0;C to dry until a constant weight was reached. Subsequently, three parallel samples were used for testing the <italic>&#x3c1;</italic>
<sub>app</sub> and <italic>W<sub>a</sub>
</italic> of the CRCA (see <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>, and the final <italic>&#x3c1;</italic>
<sub>app</sub> and <italic>W<sub>a</sub>
</italic> of the CRCA were the average values based on the three parallel samples.</p>
<p>Moreover, during our following investigations, both the apparent density (<italic>&#x3c1;</italic>
<sub>app</sub>) and water absorption (<italic>W<sub>a</sub>
</italic>) of the RCAs before and after ACE were treated as the indexes for comparing and quantifying the properties enhancement degrees of NCA, RCA and CRCA, but the ITZ of RCA after the ACE test was not characterized in this paper.</p>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>Concrete mix proportions and specimen preparation</title>
<sec id="s2_2_2_1">
<label>2.2.2.1</label>
<title>Mix proportions for the fresh concrete cast by NCA, RCA, and CRCA</title>
<p>Concrete specimens, i.e., NCAC, RCAC, and CRCAC, with their different coarse aggregate types, including NCA, RCA and CRCA, were prepared in accordance with the mix proportions in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> (<xref ref-type="bibr" rid="B21">JGJ 55-2011, 2011</xref>). The coarse aggregates used for continuous grading and nominal diameters ranged from 5-10 mm, 10-20 mm, and 20-25 mm, and the particle grading distributions of the coarse aggregates in the concrete specimens, including the NCAC, RCAC, and CRCAC, are shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 1A</bold>
</xref>. Moreover, the other raw materials, including the cement, water, and fine aggregates (the particle grading distribution is shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 1B</bold>
</xref>, were consistent with those described in Section 2.1. In addition, the substitution rates of RCA and CRCA for preparing the RCAC and CRCAC based on <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> were both 100%.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Mix proportions of fresh concrete with NCA, RCA and CRCA.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">w/c</th>
<th valign="middle" align="center">Cement<break/>(kg/m<sup>3</sup>)</th>
<th valign="middle" align="center">Water<break/>(kg/m<sup>3</sup>)</th>
<th valign="middle" align="center">Fine <break/>aggregate<break/>(kg/m<sup>3</sup>)</th>
<th valign="middle" align="center">Coarse <break/>aggregate<break/>(kg/m<sup>3</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">0.4</td>
<td valign="middle" align="center">488</td>
<td valign="middle" align="center">195</td>
<td valign="middle" align="center">584</td>
<td valign="middle" align="center">1134</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2_2_2">
<label>2.2.2.2</label>
<title>Preparation of fresh concrete specimens</title>
<p>To minimize the adverse impacts of RCA and CRCA with high water absorption (<xref ref-type="bibr" rid="B47">Quattrone et&#xa0;al., 2016</xref>) on the workability, mechanical properties and durability of fresh RCAC and CRCAC, the RCA and CRCA were presaturated and drained one day before casting the RCAC and CRCAC specimens to ensure that the effective mix proportions of RCAC and CRCAC were consistent with those of NCAC (<xref ref-type="bibr" rid="B62">Xuan et&#xa0;al., 2016b</xref>). It was unnecessary to conduct the presaturation treatment for NCA due to its extremely low water absorption.</p>
<p>Sufficient experimental specimens of NCAC, RCAC and CRCAC with 100&#xd7;100&#xd7;100 mm<sup>3</sup> cubes were cast and prepared according to the Chinese standard (<xref ref-type="bibr" rid="B21">JGJ 55-2011, 2011</xref>); these specimens were used to test the compressive strengths of NCAC, RCAC and CRCAC and to further explore the chloride transport characteristics and durability life of marine RC structures constructed from NCA, RCA and CRCA exposed to an artificial simulated marine environment of alternating drying-wetting cycles.</p>
<p>A total of 9 cubic specimens of 100&#xd7;100&#xd7;100 mm<sup>3</sup> were utilized to determine the compressive strength of the concrete, and the number of each concrete type (NCAC, RCAC and CRCAC) included 3 parallel samples. The compressive strengths of the NCAC, RCAC and CRCAC specimens after 28 d of complete curing were measured by using a concrete pressure testing machine, as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 4</bold>
</xref>. Moreover, 15 concrete cube specimens remained in total, and each concrete type (NCAC, RCAC and CRCAC) included 5 samples. After 28 d of curing (<xref ref-type="bibr" rid="B19">He et&#xa0;al., 2023</xref>), each specimen was thoroughly washed and dried under natural conditions. Two symmetrical surfaces of every concrete cube were reserved for chloride ion invasion, and the remaining 4 surfaces were sealed using an epoxy polyurethane-based coating, as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 5</bold>
</xref>.</p>
</sec>
</sec>
<sec id="s2_2_3">
<label>2.2.3</label>
<title>Experiment of chloride transport in concrete specimens</title>
<sec id="s2_2_3_1">
<label>2.2.3.1</label>
<title>Simulation of a marine drying-wetting alternating environment</title>
<p>Previous efforts have indicated that an alternating drying-wetting marine environment, i.e., the marine tidal zone and splash zone, has the greatest impact on the deterioration of durability of coastal RC structures (<xref ref-type="bibr" rid="B38">Othmen et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B26">Ju et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B13">Fu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B24">Ju et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B57">Wu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B59">Xia et&#xa0;al., 2023</xref>). For our study, an indoor test of natural chloride transport in the concrete specimens of the NCAC, RCAC, and CRCAC under a simulated drying-wetting alternating marine environment was carried out to explore the effects of the NCA, RCA, and CRCA on the chloride profiles and chloride transport characteristics of various types of concrete. An automatic device for simulating the drying-wetting alternating marine environment independently developed by our scientific research team was used to achieve a marine tidal alternation of drying-wetting cycles based on a dry&#x2212;wet ratio of 1:1. This automatic device was composed of two test chambers and a timed water conveyance system, and the latter was composed of pumps, time-control switches, water pipes, etc., as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 6</bold>
</xref>.</p>
<p>According to the time-control switches of the timed water conveyance system, the open and close functions of the pumps were regularly controlled to automatically achieve alternating continuous 12 h complete immersion in man-made seawater and continuous 12 h complete dry exposure to the atmosphere for the NCAC, RCAC, and CRCAC specimens on the right side of the test chamber. During the simulated drying-wetting alternating process of the marine diurnal tides, the drying-wetting cycle period was equal to 24 h, and the dry&#x2212;wet ratio was considered 1:1. A 3.5% NaCl solution was adopted as the artificial seawater for our chloride transport experiment, and the artificial seawater in the test chambers was required to be termly updated every 10 d to ensure the accuracy of the final results. Moreover, the two test chambers were both sealed to prevent the evaporation of chloride solution during the stages of complete immersion, but the test chamber on the right side of <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 6</bold>
</xref> should be unsealed during the stages of complete dry exposures.</p>
<p>The final duration of chloride ion transport in the NCAC, RCAC and CRCAC specimens exposed to the simulated drying-wetting marine environment (<italic>t<sub>e</sub>
</italic>) was 180 d. When <italic>t<sub>e</sub>
</italic> reached 60, 90, 120, 150 and 180 d, the corresponding experimental specimens were removed from the test chambers; subsequently, the chloride penetration depths and chloride concentrations from the concrete surface to the inside were measured, as described in the following paragraphs.</p>
</sec>
<sec id="s2_2_3_2">
<label>2.2.3.2</label>
<title>Measurements of chloride penetration depth</title>
<p>As shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7A</bold>
</xref>, one of the chloride invasion surfaces for the NCAC, RCAC and CRCAC specimens at different exposure times was first selected and drilled along the chloride transport direction perpendicular to the surface (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7E</bold>
</xref>). At least 3 holes were drilled for each surface of the specimen, and the diameter and drilled depth of each arbitrary hole were at least 5 mm and 20 mm, respectively. Subsequently, the residual powders in the drilled holes were removed, a 0.1 mol/L AgNO<sub>3</sub> solution was titrated into the hole wall, and then, the colour reaction took approximately 10 min. Finally, the chloride penetration depths were measured based on the colour reaction depths in each drilled hole, and the final tested results were the average values of at least 3 drilled holes, as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7F</bold>
</xref>. Note that the chloride penetration depth for each drilled hole needed to be tested at least 5 times, and the final results of the chloride penetration depth for concrete used the multimeasured average values of the entire drilled hole. The&#xa0;measurements of chloride penetration depth for concrete samples can be used to roughly/qualitatively analyse and compare the resistance to chloride penetration of NCAC, RCAC, and CRCAC.</p>
</sec>
<sec id="s2_2_3_3">
<label>2.2.3.3</label>
<title>Measurements of chloride concentration</title>
<p>As shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7A</bold>
</xref>, two chloride invasion surfaces, including the drilled and other symmetrical surfaces, of the NCAC, RCAC, and CRCAC specimens at different exposure times were selected, and a cement-based composite grinder was used to mill the concrete powders layer by layer beginning from the two surfaces of the concrete specimens to their inside along the chloride transport depth direction, as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7B</bold>
</xref>. The thickness ground off for each layer within the concrete specimens was controlled at 2 mm from chloride transport depths of <italic>x</italic>=0 mm to <italic>x</italic>=20 mm. Subsequently, the various layers of the concrete powders were collected and placed in clean plastic sealing bags, as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7C</bold>
</xref>. Finally, the water-soluble chloride concentrations within the NCAC, RCAC, and CRCAC powders were determined by using a rapid chloride ion content test device according to the Chinese standard (<xref ref-type="bibr" rid="B23">JTJ 270-1998, 1998</xref>), as shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure 7D</bold>
</xref>. Hence, for this paper&#x2019;s test, the chloride concentration within each concrete specimen at different exposure times is equivalent to the average value of two parallel samples. The measurements of chloride concentration for concrete samples can be used to reflect the variation trend of chloride concentrations vs. depth and to precisely/quantitatively represent the chloride profiles and transport characteristics of the NCAC, RCAC, and CRCAC.</p>
<p>Note: the tested free chloride concentrations in our study were all referred to as the percentage of the concrete mass (%).</p>
</sec>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results and analysis</title>
<sec id="s3_1">
<label>3.1</label>
<title>Comparison of the properties of NCA, RCA and CRCA</title>
<p>According to Section 2.2.1, the apparent density and water absorption results for the NCA, the RCA, and the CRCA with different particle diameters are presented in the <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref> and <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>. The apparent density and water absorption of the CRCA were both between those of the NCA and RCA. Through analysis, the apparent density and water absorption for CRCA with different particle diameters are approximately 1.40-3.97% higher and approximately 16.3-21.8% lower than those of RCA, which indicates that the accelerated carbonation method based on gaseous CO<sub>2</sub> can effectively enhance the macroproperties of RCA.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Apparent densities of coarse aggregates of various types and with various particle diameters.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Water absorption of coarse aggregates of various types and with various particle diameters.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g003.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Compressive strength of various concrete specimens</title>
<p>The measured compressive strength results for the NCAC, RCAC, and CRCAC specimens prepared by NCA, RCA and CRCA with continuous grading based on Section 2.2.2 were determined and are shown in <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>; the substitution rates of RCA and CRCA within the RCAC and CRCAC specimens are 100%.</p>
<p>From <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>, the average compressive strength of the CRCAC was 52.47 MPa, which is between those of the NCAC (54.37 MPa) and RCAC (47.43 MPa). The strength of concrete materials with different aggregate types strongly depends on the mechanical properties of the internal aggregates and cement pastes (<xref ref-type="bibr" rid="B17">Ge et&#xa0;al., 2021</xref>). Compared to those of NCA and CRCA, the material defects of RCA, including porosity and microcracks, result in the looseness and nonuniformity of the RCA and its RCAC, further affecting the overall strength and stability of the RCAC (<xref ref-type="bibr" rid="B5">Bao et&#xa0;al., 2023</xref>). Moreover, the old and new interfacial transition zone (ITZ) as well as the incomplete hydration of cement particles can affect the strength of RCAC; in particular, the looser meso-scopic structure of the new ITZ for RCAC leads to a reduction in interfacial bonding performance, further decreasing the overall strength of RCAC (<xref ref-type="bibr" rid="B42">Patil et&#xa0;al., 2021</xref>), which is the reason for the decrease in strength of RCAC.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Compressive strength of the NCAC, CRCAC and RCAC specimens.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g004.tif"/>
</fig>
<p>Additionally, the measured compressive strength of the CRCAC was only approximately 3.49% lower than that of the NCAC based on <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>. The results further demonstrate that the difference in the mechanical properties between the CRCAC and NCAC can be reduced by the accelerated carbonation modification method, and this good approach can provide some feasible, stable and reliable support for the promotion and application of the CRCAC and its CRCAC in marine infrastructures.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Chloride transport characteristics of marine RC structures</title>
<sec id="s3_3_1">
<label>3.3.1</label>
<title>Chloride penetration depth</title>
<p>
<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> shows that the chloride penetration depths in the NCAC, RCAC and CRCAC gradually increase with increasing exposure time <italic>t<sub>e</sub>
</italic>. At an identical exposure time, the tested chloride penetration depth in NCAC is the smallest, that in RCAC is the largest, and that of CRCAC is between those of NCAC and RCAC. This result indicates that CRCA can increase the resistance of CRCAC to chloride penetration to a certain degree in an alternating drying-wetting marine environment and hence can effectively enhance the chloride ion penetration resistance of marine RC structures. This effect may be attributed to the densification degrees of internal pores and microcracks in the CRCA is greater than that in the RCA, which effectively blocks chloride penetration in the CRCA and CRCAC used for constructing marine infrastructures (<xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Time-dependent chloride penetration depths of the NCAC, CRCAC and RCAC specimens.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g005.tif"/>
</fig>
<p>On the basis of <xref ref-type="fig" rid="f13">
<bold>Figure&#xa0;13</bold>
</xref>, we can observe that the chloride penetration depths in RCAC are approximately 1.04-1.18 times greater than those in CRCAC, i.e., the chloride penetration depth in CRCAC accounts for approximately 84.7-96.2% of that in RCAC, which demonstrates that using CRCA can effectively improve the resistance of RCAC to chloride penetration. Moreover, the tested chloride penetration depths of the NCAC were still lower than those of the CRCAC, and the resistance to chloride penetration of the CRCAC exhibited a difference of approximately 11.4-30.2% compared with that of the NCAC.</p>
<p>The chloride penetration depth results are shown in <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref> and <xref ref-type="fig" rid="f6">
<bold>6</bold>
</xref>, which can only be used to roughly and qualitatively analyse the effect of NCA, RCA, and CRCA on the resistance to chloride penetration of their corresponding concrete materials. The chloride profiles and transport characteristics of the NCAC, RCAC, and CRCAC used for marine infrastructures under alternating drying-wetting marine environments still need to be accurately quantified and explored.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Chloride penetration depth: NCAC and RCAC vs. CRCAC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g006.tif"/>
</fig>
</sec>
<sec id="s3_3_2">
<label>3.3.2</label>
<title>Chloride profiles</title>
<p>The alternating drying&#x2212;wetting marine zone is the area where the RC structure is most seriously eroded by chloride ions (<xref ref-type="bibr" rid="B36">Nukushina, et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B9">Cao, et&#xa0;al., 2022</xref>), and the deterioration degree of RC structures exposed to alternating drying-wetting environments is greater than that in the underwater full immersion area, where chloride ions are transmitted by a pure diffusion mechanism (<xref ref-type="bibr" rid="B51">Sun et&#xa0;al., 2018</xref>). By means of Section 2.2.3, the chloride concentration profiles of the NCAC, RCAC, and CRCAC at various exposure periods are acquired, as plotted and exhibited in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>. Clearly, the tested chloride concentrations of the NCAC, RCAC, and CRCAC gradually increasing as the depth increases within the range of the convective zone (nearly 5 mm from the surface to the inside, along the chloride transport direction), and the skin effect of chloride ingress in concrete can be significantly observed (<xref ref-type="bibr" rid="B1">Andrade et&#xa0;al., 1997</xref>; <xref ref-type="bibr" rid="B6">Cai et&#xa0;al., 2020</xref>). The chloride concentrations of the different concrete types gradually decrease with increasing depth but increase with increasing exposure period in the stable diffusion zone (with depths greater than 5 mm). Due to the influence of the long-term drying&#x2212;wetting alternating action of seawater, chloride ions are transported by the common mechanisms of &#x201c;convection-diffusion&#x201d; (<xref ref-type="bibr" rid="B33">Liu et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2022</xref>), resulting in an increase in the chloride concentrations within the concrete as the depth of the &#x201c;first increase and then decrease&#x201d; distribution characteristics increases (<xref ref-type="bibr" rid="B28">Kumar et&#xa0;al., 2021</xref>) and in the concrete near the surface area with the formation of a chloride concentration peak (<xref ref-type="bibr" rid="B35">Luo et&#xa0;al., 2021</xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Chloride concentration of the concrete samples: <bold>(A)</bold> NCAC, <bold>(B)</bold> RCAC, and <bold>(C)</bold> CRCAC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g007.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref> quantifies the relationship of chloride concentrations within the stable diffusion zones of NCAC, RCAC and CRCAC; the chloride concentrations in NCAC are the lowest, but those in RCAC are the largest, and those of CRCAC are between those of NCAC and RCAC, which are consistent with the results of the chloride penetration depth shown in <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref> and <xref ref-type="fig" rid="f6">
<bold>6</bold>
</xref>. The measured chloride concentrations in the RCAC are approximately 1.2-1.9 times those in the CRCAC, i.e., the chloride concentrations in the CRCAC account for approximately 52.6-83.3% of those in the RCAC. Although the chloride concentrations in the CRCAC are approximately 27-50% less than those in the NCAC, the chloride concentrations in the CRCAC are also significantly lower than those in the RCAC. The results indicate that the use of the CO<sub>2</sub> accelerated carbonation method for RCAs can effectively promote the densification of internal pores in CRCA and CRCAC and further intercept the passageway of microcracks within marine RC structures (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>); hence, long-term chloride transport concentrations are reduced, and finally, the durability of marine infrastructures exposed to salt environments is prolonged.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Measurements of chloride concentration for the concrete samples within the stable diffusion zone: NCAC and RCAC vs. CRCAC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Modelling of chloride transport in marine RC structures</title>
<sec id="s3_4_1">
<label>3.4.1</label>
<title>Fick&#x2019;s second law of diffusion</title>
<p>The chloride profiles in the stable diffusion zone for the NCAC, RCAC, and CRCAC specimens are shown in <xref ref-type="fig" rid="f14">
<bold>Figure&#xa0;14</bold>
</xref> can be quantified using Fick&#x2019;s second law. Several significant parameters, including the surface chloride concentration (SCC), chloride diffusion coefficient (CDC), and ageing factor (AF) of concrete specimens with various coarse aggregate types, are determined via nonlinear regression analysis. These parameters were subsequently used to thoroughly analyse the effect of CRCA on the chloride transport characteristics of the CRCAC. The analytical solution expression of Fick&#x2019;s second law considering one-dimensional chloride diffusion in marine RC structures is expressed as (<xref ref-type="bibr" rid="B38">Othmen et&#xa0;al., 2018</xref>):</p>
<disp-formula id="eq1">
<label>(1)</label>
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<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="true">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mtext>ref</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>a</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>C</italic>(<italic>x</italic>, <italic>t</italic>) is the free chloride concentration at different depths <italic>x</italic> and an arbitrary exposure time <italic>t<sub>e</sub>
</italic> (%); <italic>C<sub>s</sub>
</italic>(<italic>t</italic>) denotes the time dependency of SCC for concrete materials (%); <italic>D</italic>
<sub>app</sub>(<italic>t</italic>) is the time dependency of the apparent chloride diffusion coefficient (ACDC) of concrete materials (m<sup>2</sup>/s), and its expression is shown in <xref ref-type="disp-formula" rid="eq2">Equation (2)</xref> (<xref ref-type="bibr" rid="B15">Ga&#x161;p&#xe1;rek et&#xa0;al., 2023</xref>); erf(&#xb7;) is the Gauss error function; <italic>D</italic>
<sub>ref</sub> is the reference chloride diffusion coefficient (RCDC) of concrete materials (m<sup>2</sup>/s); <italic>a</italic> is the AF; moreover, <italic>t</italic>
<sub>ref</sub> is the reference exposure time, and <italic>t</italic>
<sub>ref</sub> = 28 d (<xref ref-type="bibr" rid="B43">Pontes et&#xa0;al., 2023</xref>).</p>
</sec>
<sec id="s3_4_2">
<label>3.4.2</label>
<title>Determination of <italic>C<sub>s</sub>
</italic>(<italic>t</italic>), <italic>D</italic>
<sub>app</sub>(<italic>t</italic>), <italic>D</italic>
<sub>ref</sub>, and <italic>a</italic>
</title>
<p>The SCC, i.e., <italic>C<sub>s</sub>
</italic>, and the ACDC, i.e., <italic>D</italic>
<sub>app</sub>, for concrete specimens with various coarse aggregate types (NCA, RCA, and CRCA) and at different exposure periods <italic>t<sub>e</sub>
</italic>can be determined by fitting <xref ref-type="disp-formula" rid="eq1">Equation (1)</xref> to the chloride profiles of the NCAC, RCAC, and CRCAC specimens in the ranges of the stable diffusion zone using the nonlinear regression method, as shown in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>. The chloride measurements corresponding to the exposure times of <italic>t<sub>e</sub>
</italic>=60, 90, 120, and 180 d are the original scatters for acquiring the results of <italic>C<sub>s</sub>
</italic> and <italic>D</italic>
<sub>app</sub> via regression analysis, as exhibited in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Regression parameters of <italic>C<sub>s</sub>
</italic> and <italic>D</italic>
<sub>app</sub> of various concrete types: <bold>(A)</bold> NCAC; <bold>(B)</bold> RCAC; <bold>(C)</bold> CRCAC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g009.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Regression parameters of <italic>C<sub>s</sub>
</italic> and <italic>D</italic>
<sub>app</sub> for NCAC, RCAC, and CRCAC.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">
<italic>t<sub>e</sub>
</italic> (d)</th>
<th valign="middle" colspan="2" align="center">NCAC</th>
<th valign="middle" colspan="2" align="center">RCAC</th>
<th valign="middle" colspan="2" align="center">CRCAC</th>
</tr>
<tr>
<th valign="middle" align="center">
<italic>C<sub>s</sub>
</italic> (%)</th>
<th valign="middle" align="center">
<italic>D</italic>
<sub>app</sub> (&#xd7;10<sup>-12</sup> m<sup>2</sup>/s)</th>
<th valign="middle" align="center">
<italic>C<sub>s</sub>
</italic> (%)</th>
<th valign="middle" align="center">
<italic>D</italic>
<sub>app</sub> (&#xd7;10<sup>-12</sup> m<sup>2</sup>/s)</th>
<th valign="middle" align="center">
<italic>C<sub>s</sub>
</italic> (%)</th>
<th valign="middle" align="center">
<italic>D</italic>
<sub>app</sub> (&#xd7;10<sup>-12</sup> m<sup>2</sup>/s)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">60</td>
<td valign="middle" align="center">0.34</td>
<td valign="middle" align="center">12.0</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">15.7</td>
<td valign="middle" align="center">0.52</td>
<td valign="middle" align="center">13.7</td>
</tr>
<tr>
<td valign="middle" align="center">90</td>
<td valign="middle" align="center">0.41</td>
<td valign="middle" align="center">15.0</td>
<td valign="middle" align="center">0.67</td>
<td valign="middle" align="center">16.8</td>
<td valign="middle" align="center">0.61</td>
<td valign="middle" align="center">12.0</td>
</tr>
<tr>
<td valign="middle" align="center">120</td>
<td valign="middle" align="center">0.46</td>
<td valign="middle" align="center">9.71</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">12.3</td>
<td valign="middle" align="center">0.67</td>
<td valign="middle" align="center">10.9</td>
</tr>
<tr>
<td valign="middle" align="center">180</td>
<td valign="middle" align="center">0.53</td>
<td valign="middle" align="center">8.67</td>
<td valign="middle" align="center">0.98</td>
<td valign="middle" align="center">11.2</td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">9.50</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Moreover, the tested chloride concentration values for an exposure period <italic>t<sub>e</sub>
</italic> of 150 d are used to verify the accuracy of the chloride transport model of marine RC structures with various coarse aggregate types, as detailed in the following sections.</p>
<p>The variations in the SCC, i.e., <italic>C<sub>s</sub>
</italic>, with increasing exposure period <italic>t<sub>e</sub>
</italic> for the NCAC, RCAC, and CRCAC specimens under the alternating drying-wetting marine environment are shown in <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>. The <italic>C<sub>s</sub>
</italic> values for the concrete specimens with different coarse aggregate types exhibit a nonlinear increasing trend with increasing exposure time <italic>t<sub>e</sub>
</italic>, which is consistent with the findings reported in the existing published literature (<xref ref-type="bibr" rid="B7">Cai et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B37">Ortolan et&#xa0;al., 2023</xref>). Among them, the <italic>C<sub>s</sub>
</italic> values for NCAC are the lowest, but those for RCAC are the highest, and the <italic>C<sub>s</sub>
</italic> values of CRCAC are between those of NCAC and RCAC, which are consistent with the variation patterns of the chloride penetration depth and chloride concentrations shown in <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>&#x2013;<xref ref-type="fig" rid="f8">
<bold>8</bold>
</xref>.</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>A</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>A</italic> and <italic>B</italic> are the undetermined coefficients within <italic>C<sub>s</sub>
</italic>(<italic>t</italic>) for the NCAC, RCAC, and CRCAC.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Surface chloride concentrations of the NCAC, RCAC and CRCAC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g010.tif"/>
</fig>
<p>The coarse aggregate type coefficient, i.e., <italic>T<sub>ca</sub>
</italic>, is proposed to quantify the effects of NCA, RCA, and CRCA on the chloride transport characteristics of marine RC structures with different coarse aggregate types. <italic>T<sub>ca</sub>
</italic> values of 0, 1, and 2 represent NCA and its NCAC, CRCA and its CRCAC, as well as RCA and its RCAC, respectively. On this basis, the relationships between the regression parameters <italic>A</italic> and <italic>B</italic> of the NCAC, RCAC and CRCAC specimens and <italic>T<sub>ca</sub>
</italic> are quantified within <xref ref-type="disp-formula" rid="eq3">Equation (3)</xref>, as shown in <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>. Parameter <italic>A</italic> shows a nearly linear growth trend with <italic>T<sub>ca</sub>
</italic>, and a linear function is adopted to fit, regress and determine the functional expression of <italic>A</italic>(<italic>T<sub>ca</sub>
</italic>), as shown in <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>. Moreover, parameter <italic>B</italic> is almost independent of <italic>T<sub>ca</sub>
</italic>. Therefore, the average value of <italic>B</italic> is -0.38207, and this value is considered the final result for parameter <italic>B</italic>.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Fitted curves of parameters <italic>A</italic> and <italic>B</italic> with respect to <italic>T<sub>ca</sub>
</italic>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g011.tif"/>
</fig>
<p>In summary, an empirical function for the time dependency of the SCC, i.e., <italic>C<sub>s</sub>
</italic>(<italic>t</italic>), of concrete considering the coarse aggregate types (NCA, RCA, and CRCA) under alternating marine drying-wetting cycles is expressed as follows:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable columnalign="left">
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mi>B</mml:mi>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>0.1758</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.042</mml:mn>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.3821</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The variations in the ACDC, i.e., <italic>D</italic>
<sub>app</sub>, with increasing exposure period for the NCAC, RCAC, and CRCAC specimens under the alternating drying-wetting marine environment are shown in <xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12</bold>
</xref>. The <italic>D</italic>
<sub>app</sub> values for marine RC structures with different coarse aggregate types show a nonlinear decreasing trend with increasing exposure time <italic>t<sub>e</sub>
</italic>, which is consistent with the results reported in the literature (<xref ref-type="bibr" rid="B53">Titi and Tabatabai, 2018</xref>; <xref ref-type="bibr" rid="B65">Zhang et&#xa0;al., 2020</xref>, <xref ref-type="bibr" rid="B64">2022</xref>; <xref ref-type="bibr" rid="B54">Vintimilla et&#xa0;al., 2023</xref>). Among them, the <italic>D</italic>
<sub>app</sub> values of NCAC are the lowest, but those of RCAC are the highest, and the <italic>D</italic>
<sub>app</sub> values of CRCAC are between those of NCAC and RCAC, which are consistent with the variation patterns of chloride penetration depth, chloride concentrations and SCCs in the previous sections of this paper. Therefore, CRCA can effectively densify the internal pores and microcracks within CRCAC (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>), consequently decreasing the ACDC, i.e., the velocity of chloride transport into concrete, of CRCAC and reducing the chloride concentration in marine RC structures.</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Variation trend of the <italic>D</italic>
<sub>app</sub> values with the exposure time and the regression parameters of <italic>D</italic>
<sub>ref</sub> and <italic>a</italic> for the NCAC, RCAC and CRCAC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g012.tif"/>
</fig>
<p>The time dependency of the power function form [shown in <xref ref-type="disp-formula" rid="eq2">Equation (2)</xref>] is utilized to establish the relationship between <italic>D</italic>
<sub>app</sub> scatters and the exposure period <italic>t<sub>e</sub>
</italic> for the NCAC, RCAC, and CRCAC specimens to determine the RCDC, i.e., <italic>D</italic>
<sub>ref</sub>, and the AF, i.e., <italic>a</italic>. The fitted curves are shown in <xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12</bold>
</xref>, and the regression results are exhibited in <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>. On the basis of this figure and table, we can clearly observe that the magnitude and variation trend of <italic>D</italic>
<sub>ref</sub> with different coarse aggregate types are in agreement with those of <italic>D</italic>
<sub>app</sub>; specifically, the <italic>D</italic>
<sub>ref</sub> values of CRCAC are between those of NCAC and RCAC.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Regression parameters of <italic>D</italic>
<sub>ref</sub> and <italic>a</italic> for NCAC, RCAC, and CRCAC.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Concrete type</th>
<th valign="middle" align="center">NCAC</th>
<th valign="middle" align="center">RCAC</th>
<th valign="middle" align="center">CRCAC</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">
<italic>D</italic>
<sub>ref</sub> (&#xd7;10<sup>-12</sup> m<sup>2</sup>/s)</td>
<td valign="middle" align="center">10.72</td>
<td valign="middle" align="center">11.72</td>
<td valign="middle" align="center">14.27</td>
</tr>
<tr>
<td valign="middle" align="center">a</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.32</td>
<td valign="middle" align="center">0.33</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The impact factor of the coarse aggregate type, i.e., <italic>f<sub>ca</sub>
</italic>(<italic>T<sub>ca</sub>
</italic>), is defined to quantify the influence of different coarse aggregate types on the chloride diffusion coefficient of marine RC structures, expressed as follows:</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mtext>ref</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mtext>ref</mml:mtext>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>D</italic>
<sub>ref</sub>(<italic>T<sub>ca</sub>
</italic>) is the RCDC of marine RC structures with different coarse aggregate types (m<sup>2</sup>/s) and <italic>D</italic>
<sub>ref(0)</sub> is the RCDC of the NCAC (m<sup>2</sup>/s). On the basis of <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>, <italic>D</italic>
<sub>ref(0)</sub>=<italic>D</italic>
<sub>ref</sub>(<italic>T<sub>ca</sub>
</italic>=0)=10.72&#xd7;10<sup>-12</sup> m<sup>2</sup>/s, <italic>D</italic>
<sub>ref</sub>(<italic>T<sub>ca</sub>
</italic>=1)=11.72&#xd7;10<sup>-12</sup> m<sup>2</sup>/s, and <italic>D</italic>
<sub>ref</sub>(<italic>T<sub>ca</sub>
</italic>=2)=14.27&#xd7;10<sup>-12</sup> m<sup>2</sup>/s.</p>
<p>The results of the impact factor <italic>f<sub>ca</sub>
</italic>(<italic>T<sub>ca</sub>
</italic>) for the NCAC, RCAC and CRCAC specimens are confirmed in accordance with these <italic>D</italic>
<sub>ref</sub> values and <xref ref-type="disp-formula" rid="eq5">Equation (5)</xref>, and the variations in <italic>f<sub>ca</sub>
</italic> scatter with <italic>T<sub>ca</sub>
</italic> are plotted in <xref ref-type="fig" rid="f13">
<bold>Figure&#xa0;13</bold>
</xref>. From this figure, <italic>f<sub>ca</sub>
</italic> shows a nonlinear increasing trend with the variation in <italic>T<sub>ca</sub>
</italic>, and the empirical function of <italic>f<sub>ca</sub>
</italic>(<italic>T<sub>ca</sub>
</italic>) is fitted and determined by using nonlinear regression analysis. In addition, evident linear variation trends between the AFs <italic>a</italic> and <italic>T<sub>ca</sub>
</italic> are observed, and a linear functional expression of <italic>a</italic>(<italic>T<sub>ca</sub>
</italic>) is acquired in <xref ref-type="fig" rid="f13">
<bold>Figure&#xa0;13</bold>
</xref>.</p>
<fig id="f13" position="float">
<label>Figure&#xa0;13</label>
<caption>
<p>Fitted curves of the parameters <italic>f<sub>ca</sub>
</italic> and <italic>a</italic> with respect to <italic>T<sub>ca</sub>
</italic>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g013.tif"/>
</fig>
<p>In summary, an empirical expression for the time dependency of the ACDC, i.e., <italic>D</italic>
<sub>app</sub>(<italic>t</italic>), of the marine RC structure accounting for coarse aggregate types (NCA, RCA and CRCA) under alternating marine drying-wetting cycles is determined as follows:</p>
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<sec id="s3_4_3">
<label>3.4.3</label>
<title>Establishment of a chloride transport model for marine RC structures</title>
<p>A computational model of chloride transport in marine RC structures considering coarse aggregate types (NCA, RCA, and CRCA) is established by combining <xref ref-type="disp-formula" rid="eq1">Equations (1)</xref>, <xref ref-type="disp-formula" rid="eq2">(2)</xref>, <xref ref-type="disp-formula" rid="eq4">(4)</xref>, and <xref ref-type="disp-formula" rid="eq6">(6)</xref>. The effects of the coarse aggregate type on the time dependency of SCC [<italic>C<sub>s</sub>
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<mml:mi>D</mml:mi>
<mml:mtext>ref</mml:mtext>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mn>1.072</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mtext>&#xa0;m</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mtext>/s</mml:mtext>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>0.2922</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.01977</mml:mn>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>This chloride transport model [<xref ref-type="disp-formula" rid="eq7">Equation (7)</xref>] can be applied to assess and predict the chloride profiles for marine RC structures with various coarse aggregate types of NCA, RCA, and CRCA at arbitrary exposure times <italic>t<sub>e</sub>
</italic> under the precondition of w/c=0.4. In particular, when <italic>T<sub>ca</sub>
</italic>=1, this computational model can be utilized to analyse and evaluate the long-term chloride transport behaviours of marine RC structures constructed by using the CRCAC under an alternating marine drying-wetting environment, which can provide a vital theoretical foundation for evaluating the durability life of marine RC structures cast by the CRCA.</p>
</sec>
<sec id="s3_4_4">
<label>3.4.4</label>
<title>Model verification</title>
<p>To verify the accuracy of this paper&#x2019;s proposed chloride transport model [<xref ref-type="disp-formula" rid="eq7">Equation (7)</xref>], the tested chloride concentrations for the NCAC, RCAC and CRCAC at <italic>t<sub>e</sub>
</italic>=150 d (exhibited in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>) were compared with those evaluated via <xref ref-type="disp-formula" rid="eq7">Equation (7)</xref>, as shown in <xref ref-type="fig" rid="f14">
<bold>Figure&#xa0;14</bold>
</xref>.</p>
<fig id="f14" position="float">
<label>Figure&#xa0;14</label>
<caption>
<p>Comparison of chloride profiles determined by the model and experiments for the NCAC, RCAC, and CRCAC when the exposure time is 150 d.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g014.tif"/>
</fig>
<p>On the basis of this figure, the chloride concentrations acquired by the model of <xref ref-type="disp-formula" rid="eq7">Equation (7)</xref> were in agreement with those from this paper&#x2019;s experimental measurements. The chloride concentrations of the NCAC, RCAC and CRCAC samples predicted by our proposed model against the experimental results at <italic>t<sub>e</sub>
</italic>=150 d are shown in <xref ref-type="fig" rid="f15">
<bold>Figure&#xa0;15</bold>
</xref>. Based on <xref ref-type="fig" rid="f15">
<bold>Figure&#xa0;15</bold>
</xref>, almost all of the model results determined by <xref ref-type="disp-formula" rid="eq7">Equation (7)</xref> and our experiments are included in a relative error margin of &#xb1; 15% for the NCAC, RCAC, and CRCAC, validating the accuracy of the chloride transport model of marine RC structures.</p>
<fig id="f15" position="float">
<label>Figure&#xa0;15</label>
<caption>
<p>Comparison of chloride concentrations for the NCAC, RCAC and CRCAC evaluated by the model versus those of the experimental results.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g015.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Durability life evaluation for a certain harbour wharf</title>
<p>Taking the RC beam components within a certain harbour wharf exposed to a corrosive environment of marine tidal zone as an example, the durability life of the RC beams constructed by the NCAC, RCAC and CRCAC were evaluated based on this paper&#x2019;s proposed chloride transport model [<xref ref-type="disp-formula" rid="eq7">Equation (7)</xref>] of marine infrastructures and the time-dependent corrosion rate model of reinforcement. The concrete mix proportions of the RC beam are described in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. The cover thickness of the RC beam is 60 mm in the tensile area, and the rebar diameter is 25 mm. The design strength of the concrete materials for the RC beam of the wharf is considered greater than that of C35 based on the Chinese standard <xref ref-type="bibr" rid="B22">JTJ 153-2015, 2015</xref>. In fact, the tested compressive strengths of the NCAC and CRCAC are greater than 50 MPa, and the measured compressive strength of the RCAC is 45 MPa greater, as shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>. The geometric dimensions of the RC beam are shown in <xref ref-type="fig" rid="f16">
<bold>Figure&#xa0;16</bold>
</xref>.</p>
<fig id="f16" position="float">
<label>Figure&#xa0;16</label>
<caption>
<p>A certain harbour wharf: <bold>(A)</bold> real structure (under construction); <bold>(B)</bold> reinforcement drawing of an RC beam; <bold>(C)</bold> chloride transport in an RC beam.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1357186-g016.tif"/>
</fig>
<p>According to the mechanism of chloride-induced steel corrosion and marine structural performance degradation, the service life of marine RC structures can be treated in four stages, including the initial corrosion time of the steel bar <italic>t</italic>
<sub>i</sub>, the concrete cover cracking time <italic>t</italic>
<sub>s</sub>, the time that affects the normal use of RC structures <italic>t</italic>
<sub>z</sub>, and the time that affects the structural bearing capacity <italic>t</italic>
<sub>c</sub> (<xref ref-type="bibr" rid="B60">Xiaoping et&#xa0;al., 2016</xref>). Considering the safety reserve of marine RC structures during operation, the sum of the initial corrosion time of the steel bar and the concrete cover cracking time are used as the basis for evaluating the durability life of RC beams within the harbour wharf (<xref ref-type="bibr" rid="B61">Xu et&#xa0;al., 2019</xref>), i.e., <italic>t<sub>d</sub>
</italic>=<italic>t</italic>
<sub>i</sub>+<italic>t</italic>
<sub>s</sub>.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Initial corrosion time of steel bar, <italic>t<sub>i</sub>
</italic>
</title>
<p>According to <xref ref-type="bibr" rid="B8">Cao et&#xa0;al. (2019)</xref>, the chloride threshold value range for RC structures exposed to corrosive marine environments is approximately 0.97-2.3% (the percentage of the cementitious material mass) when w/c=0.4 (<xref ref-type="bibr" rid="B49">Song et&#xa0;al., 2007</xref>). Taking the average value, i.e., <italic>C<sub>cr</sub>
</italic>
<sub>(cem)</sub>=1.635%, as the basis, the chloride threshold value for marine RC structures considering w/c=0.4 is converted to the percentage of the concrete mass, i.e., <italic>C<sub>cr</sub>
</italic>
<sub>(con)</sub>=0.327%, based on the concrete mix proportions in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>.</p>
<p>By setting <italic>C</italic>(<italic>x</italic>, <italic>T<sub>ca</sub>
</italic>, <italic>t</italic>)=<italic>C</italic>(<italic>c</italic>=60 mm, <italic>T<sub>ca</sub>
</italic>, <italic>t<sub>i</sub>
</italic>)=0.327% at the left side of <xref ref-type="disp-formula" rid="eq7">Equation (7)</xref> and inserting the corresponding chloride transport parameters at the right side of <xref ref-type="disp-formula" rid="eq7">Equation (7)</xref>, the results of the initial corrosion time of steel bars for the RC beams cast by using the NCAC, RCAC, and CRCAC were evaluated based on this paper&#x2019;s proposed chloride transport model of marine infrastructures, as shown in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Durability life of RC structure with NCAC, CRCAC and RCAC.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Types of concrete<break/>Time (a)</th>
<th valign="top" align="center">NCAC</th>
<th valign="top" align="center">CRCAC</th>
<th valign="top" align="center">RCAC</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">
<italic>t<sub>i</sub>
</italic>
</td>
<td valign="top" align="center">15.80</td>
<td valign="top" align="center">10.72</td>
<td valign="top" align="center">7.300</td>
</tr>
<tr>
<td valign="top" align="center">
<italic>t<sub>s</sub>
</italic>
</td>
<td valign="top" align="center">7.160</td>
<td valign="top" align="center">6.980</td>
<td valign="top" align="center">6.520</td>
</tr>
<tr>
<td valign="top" align="center">
<italic>t<sub>d</sub>
</italic>
</td>
<td valign="top" align="center">22.96</td>
<td valign="top" align="center">17.70</td>
<td valign="top" align="center">13.82</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Concrete cover cracking time, <italic>t<sub>s</sub>
</italic>
</title>
<p>According to the achievements reported by <xref ref-type="bibr" rid="B26">Ju et&#xa0;al. (2021)</xref>, the concrete cover cracking time can be evaluated via the following equation:</p>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mn>0.0228</mml:mn>
<mml:mo>&#xb7;</mml:mo>
<mml:mfrac>
<mml:mi>c</mml:mi>
<mml:mi>d</mml:mi>
</mml:mfrac>
<mml:mo>+</mml:mo>
<mml:mn>0.0016</mml:mn>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>k</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>0.0343</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>w/c</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.64</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>1.4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>c</italic> denotes the cover thickness of the concrete, and <italic>c</italic>=60 mm; <italic>d</italic> is the diameter of the reinforcement, i.e., <italic>d</italic>=25 mm; and <italic>f<sub>cuk</sub>
</italic> is the standard compressive strength of the concrete, as shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>; w/c is the water-cement ratio of the concrete materials, and w/c=0.4.</p>
<p>By substituting all the known parameters into <xref ref-type="disp-formula" rid="eq8">Equation (8)</xref>, the results of the concrete cover cracking time, <italic>t<sub>s</sub>
</italic>, for the RC beams within the harbour wharf constructed by NCA, RCA and CRCA are evaluated, as shown in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Evaluation of the durability life of RC beams within harbour wharfs</title>
<p>Summarizing the evaluation results of the initial rebar corrosion time <italic>t<sub>i</sub>
</italic> in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref> and the concrete cover cracking time <italic>t<sub>s</sub>
</italic> in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>, the durability life results for the RC beam within the harbour wharf built by the NCAC, RCAC, and CRCAC, i.e., <italic>t<sub>d</sub>
</italic>, are determined and exhibited as follows:</p>
<p>The results indicated that the durability lifetimes of marine RC structures built with NCAC, RCAC, and CRCAC differ due to the various resistances to chloride ions. Among them, the durability life of the RC beam cast by the NCAC is the longest (almost <italic>t<sub>d</sub>
</italic>=23 a), but the durability life of the RC beam cast by the RCAC is the shortest (<italic>t<sub>d</sub>
</italic>=13.82 a), and the durability life of the RC beam constructed by the CRCAC (<italic>t<sub>d</sub>
</italic>=17.7 a) is between those of the NCAC and RCAC. <xref ref-type="bibr" rid="B41">Pang&#xa0;and Li (2016)</xref> derived probability models of chloride ingress parameters for predicting the service life of marine structures. The results indicated that the service life of OPC concrete structures is approximately 17-22.5 years when exposed to marine environments, validating the correctness and reasonability of this paper&#x2019;s evaluations.</p>
<p>In summary, based on the durability life results of marine structures, the durability of the marine RC infrastructures prepared by the CRCAC was approximately 28.10% greater than that of the RCAC. Although there are still differences compared with those of marine NCAC structures, the chloride penetration resistance and durability life of marine RC structures built via CRCAC are still improved to a certain extent compared with those of the RCAC, which can greatly promote the feasibility of using CRCAC in the construction, operation and maintenance of marine infrastructures.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this paper, an indoor experiment for chloride transport in NCAC, RCAC, and CRCAC specimens under an artificial simulated marine environment with alternating drying-wetting cycles was conducted to examine the chloride profiles and transport characteristics of the NCAC, RCAC, and CRCAC concrete types, and a chloride transport model of marine RC structures considering coarse aggregate types in a marine tidal environment was established based on Fick&#x2019;s second law. Moreover, the durability life of marine RC beams within a certain harbour wharf constructed by the application of NCAC, RCAC, and CRCAC was evaluated and compared.</p>
<p>Some critical conclusions are listed as follows:</p>
<list list-type="simple">
<list-item>
<p>(1) The apparent density and water absorption for CRCA with different particle diameters increased by approximately 1.40-3.97% and decreased by approximately 16.3-21.8% compared with those of the RCA, and the measured compressive strength for CRCAC was only approximately 3.49% lower than that of NCAC, indicating that the accelerated carbonation method based on gaseous CO<sub>2</sub> can effectively enhance the properties of RCA and reduce the difference in mechanical properties between CRCAC and NCAC.</p>
</list-item>
<list-item>
<p>(2) The chloride penetration depths, chloride concentration profiles, surface chloride concentrations (SCCs), and chloride diffusion coefficients (CDCs) of the CRCAC are all between those of the NCAC and RCAC, which indicates that using the CRCA can effectively improve the resistance to chloride penetration and durability of marine RC structures exposed to marine tidal environments.</p>
</list-item>
<list-item>
<p>(3) The SCCs and ACDCs for marine RC structures with NCA, RCA, and CRCA at various exposure periods are determined, and the effects of coarse aggregate type on the time dependency of SCC and ACDC are quantified. On the basis of the empirical expressions, a chloride transport model for marine RC structures considering coarse aggregate types is built, and the accuracy of this proposed model is verified.</p>
</list-item>
<list-item>
<p>(4) Taking the RC beams within a certain harbour wharf as an example, the durability life results of the RC beams constructed by the NCAC, RCAC and CRCAC are evaluated based on this paper&#x2019;s proposed chloride transport model [<xref ref-type="disp-formula" rid="eq7">Equation (7)</xref>] of marine infrastructures and the time-dependent corrosion rate model of reinforcement. The results showed that the durability life of the marine RC infrastructure prepared by the CRCAC was approximately 28.10% greater than that of the RCAC. Although there are still differences compared with those of marine NCAC structures, the chloride penetration resistance and durability life of marine RC structures built via CRCAC are still improved to a certain extent compared with those of the RCAC, which can greatly promote the feasibility of using CRCAC in the construction, operation and maintenance of marine infrastructures.</p>
</list-item>
</list>
<p>To sum up, our investigations can provide a scientific basis for the resource utilization of waste concrete, facilitate the practical application of RCAs and RCACs in marine infrastructures, and further help to improve the durability, reliability, stability and risk resistance of marine RC structures to support the design and construction of marine infrastructure, which has vital scientific significance, engineering value and development prospects.</p>
<p>For future studies, we will try our best to continuously carry out the relevant works and strive to be able to achieve the use of CRCA in the construction and operation of marine infrastructures to completely replace the NCA, as well as to ensure and even further enhance the durability, reliability, stability and risk resistance of marine RC structures and provide support for the design and construction of marine infrastructures.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>HJ: Conceptualization, Methodology, Writing &#x2013; original draft. LW: Investigation, Writing &#x2013; original draft. XLJ: Formal analysis, Validation, Writing &#x2013; original draft. ML: Writing &#x2013; review &amp; editing. ZX: Supervision, Writing &#x2013; original draft. LG: Visualization, Writing &#x2013; original draft. XHJ: Formal analysis, Validation, Writing &#x2013; original draft. YL: Resources, Supervision, Writing &#x2013; original draft. JL: Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This research was supported by the National Key R&amp;D Program of China (No: 2022YFB3207400), the Research and Innovation Program for Graduate Students in Chongqing (No: CYS23487), the National Natural Science Foundation of China (No: 52209156), and the 2023 National College Students&#x2019; Innovation and Entrepreneurship Training Program (No. S202310618012).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Author LG was employed by the company Sichuan Communication Surveying &amp; Design Institute Co. Ltd.</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 id="s10" sec-type="disclaimer">
<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="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2024.1357186/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2024.1357186/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="DataSheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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