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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1079229</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1079229</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Impact of turbulence on magnetic alignment in sediments</article-title>
<alt-title alt-title-type="left-running-head">Philippe et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.1079229">10.3389/feart.2022.1079229</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Philippe</surname>
<given-names>&#xc9;douard G. H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2067785/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Valet</surname>
<given-names>Jean-Pierre</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/417633/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>St-Onge</surname>
<given-names>Guillaume</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/679768/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Egli</surname>
<given-names>Ramon</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/165351/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institut de Physique du Globe de Paris</institution>, <institution>Sorbonne Paris-Cit&#xe9;</institution>, <institution>UMR 7154 CNRS</institution>, <addr-line>Paris</addr-line>, <country>France</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institut des sciences de la mer de Rimouski (ISMER)</institution>, <institution>Canada Research Chair in Marine Geology and GEOTOP</institution>, <institution>Universit&#xe9; du Qu&#xe9;bec &#xe0; Rimouski</institution>, <addr-line>Rimouski</addr-line>, <addr-line>QC</addr-line>, <country>Canada</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Central Institute for Meteorology and Geodynamics</institution>, <addr-line>Vienna</addr-line>, <country>Austria</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/607034/overview">Eric C. Ferre</ext-link>, University of Louisiana at Lafayette, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/116849/overview">Leonardo Sagnotti</ext-link>, Istituto Nazionale di Geofisica e Vulcanologia (INGV), Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2087344/overview">Carl Richter</ext-link>, University of Louisiana at Lafayette, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: &#xc9;douard G. H. Philippe, <email>egh.philippe@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Geomagnetism and Paleomagnetism, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1079229</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Philippe, Valet, St-Onge and Egli.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Philippe, Valet, St-Onge and Egli</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>Rapidly deposited layers (RDL) such as turbidites or hyperpycnites are mostly studied for their sedimentological properties, but are carefully avoided in paleomagnetic studies due to the disturbances caused by such sudden and rapid sediment accumulation. Therefore, these layers can also be seen as potential indicators of sediment parameters susceptible of affecting the alignment of magnetic grains and ultimately the acquisition of the natural remanent magnetization (NRM). We have compiled 13 Holocene rapidly deposited layers from core MD99-2222 in the Saguenay Fjord, eastern Canada (St-Onge and al., 2004) with varying thicknesses (from 7.1&#xa0;cm to 1,510&#xa0;cm) and 4 Quaternary turbidites of different origins, to document the influence of sedimentary and magnetic parameters on natural remanent magnetization acquisition. We found a logarithmic relationship between rapidly deposited layers thickness on the one hand, and the amplitude of inclination changes and magnetic grain sizes on the other. Inclination and magnetic grain sizes are themselves correlated to each other by a logarithmic law. As there is no relationship between inclination deviation and stratigraphic depth, compaction alone cannot account for such large effects on inclination. Flocculation is grain size sensitive, but it is expected to affect mainly the natural remanent magnetization intensity, rather than its direction. Turbulence that prevails during the rapid deposition of sediments during such events is most likely the dominant factor.</p>
</abstract>
<kwd-group>
<kwd>natural remanent magnetisation</kwd>
<kwd>turbidite</kwd>
<kwd>hyperpycnite</kwd>
<kwd>sediment</kwd>
<kwd>detrital remanent magnetization</kwd>
<kwd>depositional remanence</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Measurements of sediment natural remanent magnetization (NRM) are useful to chronostratigraphic, paleomagnetic and paleoenvironmental studies (e.g., <xref ref-type="bibr" rid="B33">Meynadier et al., 1992</xref>; <xref ref-type="bibr" rid="B59">Valet and Meynadier, 1993</xref>; <xref ref-type="bibr" rid="B41">Roberts et al., 1997</xref>; <xref ref-type="bibr" rid="B27">Kissel et al., 1998</xref>; <xref ref-type="bibr" rid="B11">Channell et al., 2000</xref>; <xref ref-type="bibr" rid="B10">Channell &#x26; Kleiven, 2000</xref>; <xref ref-type="bibr" rid="B51">Stoner et al., 2000</xref>; <xref ref-type="bibr" rid="B58">Valet, 2003</xref>; <xref ref-type="bibr" rid="B52">Stoner and St-Onge, 2007</xref>; <xref ref-type="bibr" rid="B28">Lis&#xe9;-Pronovost et al., 2009</xref>; <xref ref-type="bibr" rid="B4">Barletta et al., 2010</xref>; <xref ref-type="bibr" rid="B30">Macr&#xec; et al., 2010</xref>; <xref ref-type="bibr" rid="B32">Mazaud et al., 2012</xref>; <xref ref-type="bibr" rid="B8">Caron et al., 2018</xref>; <xref ref-type="bibr" rid="B15">Deschamps et al., 2018</xref>; <xref ref-type="bibr" rid="B5">Bieber et al., 2021</xref>; <xref ref-type="bibr" rid="B61">Velle et al., 2022</xref>). Despite significant progress in the understanding of magnetization acquisition in sediments, the mechanisms that govern the detrital and post-detrital remanences remain relatively unconstrained (<xref ref-type="bibr" rid="B57">Tauxe et al., 2006</xref>). This uncertainty negatively affects the interpretation of paleomagnetic records. Various processes controlling NRM acquisition have been proposed through redeposition experiments and modelling (<xref ref-type="bibr" rid="B39">Nagata, 1961</xref>; <xref ref-type="bibr" rid="B13">Collinson, 1965</xref>; <xref ref-type="bibr" rid="B49">Stacey, 1972</xref>; <xref ref-type="bibr" rid="B14">Denham and Chave, 1982</xref>; <xref ref-type="bibr" rid="B56">Tauxe, 1993</xref>; <xref ref-type="bibr" rid="B23">Katari and Bloxham, 2001</xref>; <xref ref-type="bibr" rid="B57">Tauxe et al., 2006</xref>; <xref ref-type="bibr" rid="B46">Shcherbakov and Sycheva, 2010</xref>; <xref ref-type="bibr" rid="B42">Roberts et al., 2013</xref>). The first model of deposition proposed by <xref ref-type="bibr" rid="B39">Nagata (1961)</xref> focused on the rotation of magnetic grains within a fluid immersed in a magnetic field and predicted that all magnetic grains would be rapidly (&#x3c;1&#xa0;s) aligned by the field leading to saturation of the remanent magnetization. However, typical values of the natural remanence in sediments and in sediment redeposition experiments are two or three order of magnitudes below saturation (<xref ref-type="bibr" rid="B56">Tauxe, 1993</xref>; <xref ref-type="bibr" rid="B57">Tauxe et al., 2006</xref>; <xref ref-type="bibr" rid="B47">Spassov and Valet, 2012</xref>; <xref ref-type="bibr" rid="B42">Roberts et al., 2013</xref>). <xref ref-type="bibr" rid="B13">Collinson (1965)</xref> proposed that the absence of saturation could be linked to the Brownian motion, but this process affects only very fine particles (<xref ref-type="bibr" rid="B49">Stacey, 1972</xref>). Flocculation appears to be a more realistic controlling factor, as it agglomerates sedimentary particles and therefore affects the alignment of the magnetic grains by the field (<xref ref-type="bibr" rid="B45">Shcherbakov and Shcherbakova, 1983</xref>; <xref ref-type="bibr" rid="B56">Tauxe, 1993</xref>; <xref ref-type="bibr" rid="B23">Katari and Bloxham, 2001</xref>; <xref ref-type="bibr" rid="B57">Tauxe et al., 2006</xref>). In fact, the timing of magnetization acquisition depends on various sedimentary and magnetic parameters that can also introduce a delay between sediment deposition and lock-in of the remanent magnetization (<xref ref-type="bibr" rid="B62">Verosub, 1977</xref>; <xref ref-type="bibr" rid="B44">Sagnotti et al., 2005</xref>; <xref ref-type="bibr" rid="B46">Shcherbakov and Sycheva, 2010</xref>; <xref ref-type="bibr" rid="B42">Roberts et al., 2013</xref>).</p>
<p>Several experimental studies (<xref ref-type="bibr" rid="B40">Quidelleur et al., 1995</xref>; <xref ref-type="bibr" rid="B24">Katari et al., 2000</xref>; <xref ref-type="bibr" rid="B9">Carter-Stiglitz et al., 2006</xref>; <xref ref-type="bibr" rid="B21">Heslop et al., 2006</xref>; <xref ref-type="bibr" rid="B57">Tauxe et al., 2006</xref>; <xref ref-type="bibr" rid="B47">Spassov and Valet, 2012</xref>) attempted to evaluate the role played by specific parameters (e.g., water content, magnetic concentration, salinity, carbonate and clay content, flocculation, compaction) on the timing and alignment of magnetic grains within the sediment. However, the use of laboratory redeposition experiment as analogue to natural deposition is limited by lateral size limitations and short duration of the experiments compared to those in nature. Rapidly deposited layers (RDL) like turbidites can be seen as a natural analogue to laboratory redeposition experiment. So far, RDLs have been mostly studied for their sedimentological properties (e.g., <xref ref-type="bibr" rid="B34">Mulder and Alexander, 2001</xref>; <xref ref-type="bibr" rid="B38">Mulder et al., 2001</xref>; <xref ref-type="bibr" rid="B1">Alexander and Mulder, 2002</xref>; <xref ref-type="bibr" rid="B64">Zavala and Arcuri, 2016</xref>; <xref ref-type="bibr" rid="B18">Feng et al., 2021</xref>; <xref ref-type="bibr" rid="B54">Talling, 2021</xref>; <xref ref-type="bibr" rid="B66">M&#x00e9;rindol et al., 2022</xref>; <xref ref-type="bibr" rid="B43">Rodr&#xed;guez-Tovar, 2022</xref>) and only a few rock magnetic parameters have been investigated (e.g., <xref ref-type="bibr" rid="B48">St-Onge et al., 2004</xref>; <xref ref-type="bibr" rid="B29">Lis&#xe9;-Pronovost et al., 2014</xref>; <xref ref-type="bibr" rid="B16">Duboc et al., 2017</xref>; <xref ref-type="bibr" rid="B22">Kanamatsu et al., 2022</xref>).</p>
<p>A magnetic study of four distinct turbidites from the Bay of Bengal, Gulf of Corinth and Eastern China Sea was recently published by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref> (<xref ref-type="fig" rid="F1">Figure 1</xref>). The sedimentary and magnetic grain sizes revealed a significant coarsening of both sediment particles and magnetic grains within the bottom layers. The most striking observation was the existence of progressive shallowing of the magnetic inclinations between the upper and bottom layers that increases with the size of the event and obeys a simple linear scaling law. These results have been however obtained from a low number of events. It is thus necessary to establish a more complete database that would incorporate RDLs of different sizes and nature and to assess whether common properties emerge that could pave the way to a better understanding of detrital remanent magnetization. In this paper, we will thus investigate 17 turbidites from four different regions ranging from 7.1&#xa0;cm to 15.1 m, and use them to investigate possible NRM acquisition mechanisms in turbidites.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of the sampling sites of cores MD01-2477 (Gulf of Corinth), MD12-3418 (Bay of Bengal), MD98-2194 (China Sea) and MD99-2222 (Saguenay Fjord, Canada).</p>
</caption>
<graphic xlink:href="feart-10-1079229-g001.tif"/>
</fig>
</sec>
<sec sec-type="methods" id="s2">
<title>Methodology</title>
<sec id="s2-1">
<title>Core MD99-2222</title>
<p>All properties of core MD99-2222 have been studied by <xref ref-type="bibr" rid="B48">St-Onge et al. (2004)</xref>. Core MD99-2222 was sampled in the Saguenay Fjord, eastern Canada (48&#xb0;18.28&#x2032; N, 70&#xb0;15.44&#x2019; W, water depth 271&#xa0;m, <xref ref-type="fig" rid="F1">Figure 1</xref>). Low-field magnetic susceptibility (<italic>k</italic>) was measured every 2&#xa0;cm with a GEOTEK Multi Sensor Core Logger on board of the R/V Marion Dufresne II. Grain size analyses were conducted at the Universit&#xe9; de Bordeaux with a Malvern Supersizer &#x201c;S&#x201d; laser grain size analyzer. The grain size data were analyzed using the Gradistat software (<xref ref-type="bibr" rid="B6">Blott and Pye, 2001</xref>). The core was sampled using U-channels and sediment magnetization was measured every 1&#xa0;cm at the University of California in Davis using a 2G Enterprises cryogenic magnetometer Model 755. The Natural Remanent Magnetization (NRM) was measured on U-channel samples and then demagnetized with an alternating field (AF) in 5&#xa0;mT steps from 10&#xa0;mT to 40&#xa0;mT and then every 10&#xa0;mT up to 80&#xa0;mT. Inclination was calculated by principal component analysis (<xref ref-type="bibr" rid="B26">Kirschvink, 1980</xref>). An anhysteretic remanent magnetization (ARM) was produced using a 100&#xa0;mT peak AF with a 50&#xa0;&#x3bc;T direct current (DC) biasing field. This ARM was subsequently demagnetized with an alternating field (AF) at 10&#xa0;mT, steps from 10&#xa0;mT to 20&#xa0;mT every 5&#xa0;mT&#x2013;40&#xa0;mT and then every 10&#xa0;mT up to 60&#xa0;mT.</p>
<p>The <italic>k</italic>
<sub>ARM</sub>/<italic>k</italic> ratio was obtained by calculating the susceptibility of the ARM (<italic>k</italic>
<sub>ARM</sub>) by normalizing the ARM by the strength of the biasing field. Because <italic>k</italic> is sensitive to the coarser fraction of magnetite, it is frequently associated with ARM that responds dominantly to small magnetic grains and is therefore used as a magnetic grain size proxy (e.g., <xref ref-type="bibr" rid="B25">King et al., 1983</xref>; <xref ref-type="bibr" rid="B50">Stoner et al., 1996</xref>; <xref ref-type="bibr" rid="B52">Stoner and St-Onge, 2007</xref>). The ratio of the parameters depicts the evolution of magnetic grain size.</p>
</sec>
<sec id="s2-2">
<title>Cores from <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref>
</title>
<p>The study of <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref> focused on the detrital remanent magnetization of four turbidites found in cores MD12-3418, MD01-2477 and MD98-2194. Two turbidites were sampled and studied in core MD12-3418 from the Bay of Bengal (16&#xb0;30.27 N, 87&#xb0;47.92&#xa0;E, water depth 2,547&#xa0;m), one in core MD01-2477 from the Gulf of Corinth (38&#xb0;.133 N, 22&#xb0;.333&#xa0;E, water depth 867&#xa0;m) and one in core MD98-2,194 from Eastern China Sea (28&#xb0;06&#x2032; N; 127&#xb0;22&#x2019; E, water depth 989&#xa0;m, <xref ref-type="fig" rid="F1">Figure 1</xref>). The turbidites of the first two cores were deposited during the Holocene, while the event identified in core MD98-2194 was dated to the Pleistocene (<xref ref-type="bibr" rid="B55">Tanty et al., 2016</xref>). The NRM of the discrete samples taken within each turbidite was measured at IPGP using a 2G Enterprises cryogenic magnetometer Model 755-R. All samples were demagnetized with an AF using an AGICO LDA-3 demagnetizer at 5&#xa0;mT steps up to 30&#xa0;mT and then by steps of 10&#xa0;mT up to 80&#xa0;mT.</p>
</sec>
</sec>
<sec id="s3">
<title>Comparison of rapidly deposited layer from core MD99-2222</title>
<sec id="s3-1">
<title>Magnetic characteristics</title>
<p>Core MD99-2222 from the Saguenay Fjord (<xref ref-type="fig" rid="F1">Figure 1</xref>) was previously studied by <xref ref-type="bibr" rid="B48">St-Onge et al. (2004)</xref>. It includes 13 Holocene RDL with varying thicknesses from 7.1 cm to 1,510&#xa0;cm among which six turbidites, six hyperpycnites and one undefined event were identified (<xref ref-type="fig" rid="F2">Figure 2</xref>). A hyperpycnite is different from a classic turbidite as it can produce inverse and then normal grading within the same event (e.g., <xref ref-type="bibr" rid="B37">Mulder et al., 1998</xref>; <xref ref-type="bibr" rid="B36">Mulder et al., 2003</xref>; <xref ref-type="bibr" rid="B35">Mulder and Chapron, 2011</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Sedimentological and physical properties of core MD99-2222 (<xref ref-type="bibr" rid="B48">St-Onge et al., 2004</xref>).</p>
</caption>
<graphic xlink:href="feart-10-1079229-g002.tif"/>
</fig>
<p>The sedimentological and physical properties of the material from core MD99-2222 have been previously reported by <xref ref-type="bibr" rid="B48">St-Onge et al. (2004)</xref> (<xref ref-type="fig" rid="F2">Figure 2</xref>). Magnetic mineralogy was studied at 1.5&#xa0;m intervals (<xref ref-type="bibr" rid="B48">St-Onge et al., 2004</xref>) and showed no change within the RDL. Magnetic granulometry indicates the presence of pseudo-single domain (PSD) and multidomain (MD) grains. These characteristics remain similar for each RDL. We infer that since the Earth&#x2019;s magnetic field remained constant during the very short period of a turbiditic process, any evolution in direction and/or intensity of the remanent magnetization can only result from changes in magnetization acquisition processes.</p>
<p>Variations of sediment grain size, <italic>k</italic>, <italic>k</italic>
<sub>ARM</sub>/<italic>k</italic> and NRM inclination within the 1,510-cm thick hyperpycnite from core MD99-2222 are illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>. The evolution of sediment grain size with depth is the most sensitive parameter to define the RDL boundaries. All four indicators follow a parallel evolution which confirms the characteristics reported by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref> from other turbidites. Coarsest sediment and magnetic particles occur at the base of the event, while the NRM inclination deviates by up to &#x223c;60&#xb0; from the inclination of the geocentric axial dipole (GAD) at the site.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Sedimentological and physical properties of the RDL1 event from core MD99-2222 (<xref ref-type="bibr" rid="B48">St-Onge et al., 2004</xref>). Red curves were obtained by singular spectrum analysis (SPA). The maximum amplitude changes in inclinations and grain sizes were calculated from the SPA results and are shown by blue arrows. Green line in the inclination represents the geocentric axial dipole (GAD) value. The grey zone represents a normal period of sedimentation before the RDL1 deposition.</p>
</caption>
<graphic xlink:href="feart-10-1079229-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Coherent features between rapidly deposited layers</title>
<p>Using this extended database, we can investigate further the relationship between magnetic parameters and RDL that was reported by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref>. Typical parallel evolutions of the NRM inclination and <italic>k</italic>
<sub>ARM</sub>/<italic>k</italic> within an RDL event are shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. We selected RDL 1 due to its thickness; similar features describe all events as seen in supplementary material. Singular spectrum analysis (<xref ref-type="bibr" rid="B60">Vautard and Ghil, 1989</xref>) was used to obtain inclinations and <italic>k</italic>
<sub>ARM</sub>/<italic>k</italic> trends for all RDL events from core MD99-2222 (red lines in <xref ref-type="fig" rid="F3">Figure 3</xref>). Inclination variations, from 20&#xb0; to 80&#xb0;, correlate with the decreasing grain size trend, from coarsest at the bottom to finest at the top. Superimposed to this trend, inclination shows high-frequency large-amplitude fluctuations that do not occur in grain size. These fluctuations likely result from turbulent conditions that affected the alignment of the magnetic grains in the Earth&#x2019;s magnetic field. Turbulence is expected to strongly affect the orientation of suspended particles, especially larger ones (<xref ref-type="bibr" rid="B20">Heslop, 2007</xref>), but not the grain size dependence of the mean settling velocity, which is responsible for graded bedding.</p>
<p>We first scrutinized the inclination changes within each event and defined the amplitude of inclination changes from the results of singular spectrum analysis as &#x394;<italic>I</italic> &#x3d; <italic>I</italic>
<sub>max</sub> &#x2212; <italic>I</italic>
<sub>min</sub> (<xref ref-type="fig" rid="F3">Figure 3</xref>). Inclination changes within each RDL sequence, including those studied by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref>, depends logarithmically on the sequence thickness (<xref ref-type="fig" rid="F4">Figure 4</xref>). The 1,510&#xa0;cm thick turbidite, which is much larger than all other events, has been excluded from this comparison. The best-fit logarithmic curve (<xref ref-type="fig" rid="F4">Figure 4</xref>, black curve with shaded confidence interval) is the best fit obtained using a simulated annealing and bootstrap estimator (<xref ref-type="bibr" rid="B17">Efron and Tibshirani, 1986</xref>). The observed relation between &#x394;<italic>I</italic> and thickness differs from the linear curve that was previously reported by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref>, probably because of the larger number of data. Except for the smallest turbidite from <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref> and one turbidite from MD9-2222, all other RDL lie within the confidence interval. We note that the turbiditic or hyperpycnite nature of the RDL does not seem to influence the logarithmic trend shown in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Amplitude of inclination changes within 16 RDLs as a function of their thickness. Black, red and pink closed circles are for turbidites, hyperpycnites and other RDLs from core MD99-2222, respectively. Green closed circles show the values of the four turbidites studied by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref>.</p>
</caption>
<graphic xlink:href="feart-10-1079229-g004.tif"/>
</fig>
<p>Similarly, we investigated the relationship between the event thickness and the maximum amplitude &#x2206;(<italic>k</italic>
<sub>ARM</sub>/<italic>k</italic>) of changes in the magnetic grain size proxy resulting from singular spectrum analysis (<xref ref-type="fig" rid="F5">Figure 5</xref>). In this case, we were constrained to restrain the study to the 12 RDL events from core MD99-2222 because other field values were used by <xref ref-type="bibr" rid="B55">Tanty et al. (2016)</xref> to induce the ARMs. Also in this case, magnetic grain size changes depend logarithmically on the event thickness, as seen by the trend line obtained with the same annealing and bootstrap estimator used in <xref ref-type="fig" rid="F4">Figure 4</xref>. All data points lie within the confidence interval except for a single hyperpycnite.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Amplitude of grain size changes within 12 RDLs as a function of their thickness. Black, red and pink closed circles are for turbidites, hyperpycnites and other RDLs from core MD99-2222, respectively.</p>
</caption>
<graphic xlink:href="feart-10-1079229-g005.tif"/>
</fig>
<p>For layers thinner than 0.5&#xa0;m, the amplitude of inclination and magnetic grain size fluctuations are almost linearly correlated with the thickness of the event. For layers thicker than 0.5&#xa0;m, the correlation becomes more evidently a logarithmic one. When plotted with respect to each other, the amplitudes of inclination and magnetic grain size changes are not linearly correlated, but follow again a logarithmic dependence (<xref ref-type="fig" rid="F6">Figure 6</xref>). One turbidite and two hyperpycnite do not lie within the confidence interval.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Amplitude of inclination changes as a function of grain size changes within 12 RDLs. Same symbols as in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
</caption>
<graphic xlink:href="feart-10-1079229-g006.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Magnetic and/or sedimentary material that feed the turbidites and the hyperpycnites in the Saguenay Fjord come from the same source (<xref ref-type="bibr" rid="B37">Mulder et al., 1998</xref>; <xref ref-type="bibr" rid="B48">St-Onge et al., 2004</xref>). The evolution of the magnetic and sediment grain sizes follows a similar pattern in all RDLs with significant decreasing grain size from the bottom to the top. The amplitude of the changes increases with the magnitude of the event as shown by the data from core MD99-2222. Turbidites and hyperpycnites from the four different sites (<xref ref-type="fig" rid="F1">Figure 1</xref>) were produced in different water column thicknesses, and therefore the water column depth would have no significant impact on the grain sizes pattern within the sediment and also no influence on the magnetic alignment near or at the sea floor. The high concentration of particles during a turbidity or an hyperpycnal current favored the formation of aggregates after segregation of coarse magnetic and sedimentary grains, that is, not during the primary stage of the discharge, but also not long after deposition, because rapid accumulation of sediment reinforces particle cohesion and impedes post-depositional reorientation (<xref ref-type="bibr" rid="B55">Tanty et al., 2016</xref>).</p>
<p>As expected, the results in <xref ref-type="fig" rid="F6">Figure 6</xref> reveal that the large changes in magnetic grain size within the thick events correlate with large inclination changes. Inclination shallowing decreases within the event. The inclinations are near zero with some negative values at the base of the thickest turbidites like the 1,510&#xa0;cm thick hyperpycnite from core MD99-2222 (<xref ref-type="fig" rid="F3">Figure 3</xref>). In this case, inclination shows a regular trend with a zone of chaotic fluctuations below 1,100&#xa0;cm and a mean inclination of &#x223c;25&#xb0;, followed by a transition interval that ends with a mean inclination of &#x223c;55&#xb0; above 700&#xa0;cm. For comparison, the modern field inclination at the site is 71&#xb0;. The observed inclination trend correlates with the magnetic grain size coarsening recorded by the <italic>k</italic>
<sub>ARM</sub>/<italic>k</italic> variations (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<p>Compaction is frequently considered to be responsible for inclination shallowing in sediments (<xref ref-type="bibr" rid="B2">Anson and Kodama, 1987</xref>; <xref ref-type="bibr" rid="B3">Arason and Levi, 1990</xref>). The logarithmic relationship between inclination and magnetic grain size may also support the role of compaction (<xref ref-type="bibr" rid="B31">Maier et al., 2013</xref>). However, compaction does not generate inclination deviations as large as 60&#xb0; (<xref ref-type="bibr" rid="B2">Anson and Kodama, 1987</xref>; <xref ref-type="bibr" rid="B3">Arason and Levi, 1990</xref>; <xref ref-type="bibr" rid="B53">Sun and Kodama, 1992</xref>) and becomes significant only at much larger depths (below 100&#xa0;m, <xref ref-type="bibr" rid="B53">Sun and Kodama, 1992</xref>). The absence of any relationship between the mean inclination of each RDL event and the core depth of the event (<xref ref-type="fig" rid="F7">Figure 7</xref>) further confirms that the inclination deviations are not controlled by compaction.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Amplitude of inclination changes within 12 RDLs as a function of their average depth in core MD99-2222. Black, red and pink closed circles are for turbidites, hyperpycnites and other RDLs from core MD99-2222, respectively.</p>
</caption>
<graphic xlink:href="feart-10-1079229-g007.tif"/>
</fig>
<p>Turbulence and flocculation (<xref ref-type="bibr" rid="B56">Tauxe, 1993</xref>; <xref ref-type="bibr" rid="B55">Tanty et al., 2016</xref>) can both affect the orientation of the magnetic grains. Flocculation has been discussed in several models (<xref ref-type="bibr" rid="B23">Katari and Bloxham, 2001</xref>; <xref ref-type="bibr" rid="B57">Tauxe et al., 2006</xref>; <xref ref-type="bibr" rid="B46">Shcherbakov and Sycheva, 2010</xref>; <xref ref-type="bibr" rid="B42">Roberts et al., 2013</xref>). The flocculation process depends to some extent on sediment grain size, as finer sediment particles are more cohesive than larger ones (van Leussen, 1988). In turbidites, turbulence is expected to play a major role, as it promotes flocculation through increased collision frequencies but also breaks large aggregates, thus determining the maximum size and minimum density of flocs (<xref ref-type="bibr" rid="B12">Clark and Flora, 1991</xref>; <xref ref-type="bibr" rid="B63">Winterwerp, 1998</xref>). Because of the lack of correlation between &#x394;<italic>I</italic> and sediment grain size (<xref ref-type="fig" rid="F8">Figure 8</xref>), the changes in inclination across each event must be controlled by turbulence. Largest inclination shallowing occurs systematically at the base of an event, where sediment material was deposited under maximum shear flow. Shear flows tends to align the long axis of individual particles and flocs parallel to the flow axis (<xref ref-type="bibr" rid="B19">Harada et al., 2006</xref>). Repeated turbulence-induced floc breakup and aggregation will thus progressively align individual constituents, including magnetic particles, along the horizontal flow direction. Because the magnetic moment of a ferrimagnetic grain tend to align with the grain&#x2019;s longest axis, newly formed flocs tend to contain magnetic particles with their moments aligned along the flow direction, rather than parallel to the magnetic field, explaining the progressive transition from sub-horizontal to GAD-like inclinations.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Inclination as a function of sediment mean grain size in 13 RDLs from core MD99-2222 (<xref ref-type="bibr" rid="B48">St-Onge et al., 2004</xref>). The linear correlation coefficient is <italic>R</italic>
<sup>2</sup> &#x3d; 0.14.</p>
</caption>
<graphic xlink:href="feart-10-1079229-g008.tif"/>
</fig>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>We have compared the magnetic characteristics of 17 RDLs of different sizes and origins. The results confirmed several observations concerning the alignment of magnetic grains in turbulent conditions that were derived from a previous study of four turbidites. A major characteristic is that the degree of inclination shallowing within the sequence increases with the magnitude of events and that this relationship can be well described by a logarithmic dependence on the event thickness. We could pinpoint the origin of inclination shallowing within RDLs to the turbulence associated with shear flow. Sediment grain size and compaction, on the other hand, have insignificant effects in these settings. We explain inclination shallowing by the preferential alignment of magnetic particles with the horizontal flow direction during floc breakup and reaggregation.</p>
<p>The much smaller degree of inclination shallowing observed in quiet depositional environments emphasizes the importance of post-depositional reorientation of magnetic grains in the surface mixed layer of regularly deposited sediments. This reorientation suppresses or drastically reduces the inclination shallowing inherited by the original remanent magnetization acquired during deposition (<xref ref-type="bibr" rid="B65">Zhao et al., 2016</xref>). Post-depositional reorientation does not occur at the bottom of the turbidites due to the fast accumulation of the upper sediment layers which prevents grain mobility within the lower layers and/or long exposure to bioturbation.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1016/j.quascirev.2003.03.001">https://doi.org/10.1016/j.quascirev.2003.03.001</ext-link> and <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1002/2016GC006378">https://doi.org/10.1002/2016GC006378</ext-link> the data are in published article.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This research was funded by the Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery grant RGPIN-2017-05294 to GSO and by the ERC advanced Grant agreement ID: 339899 &#x201c;EDIFICE&#x201d; funded under the ERC&#x2019;s 7th framework program FO7-IDEAS-ERC (European Union).</p>
</sec>
<ack>
<p>We also thank the captains, the crew and the scientific participants of the IMAGES IV, IMAGES V, MD124 Geosciences 2 and MD191 MONOPOL campaigns on board the Marion Dufresne II in 1998, 1999, 2001 and 2012, respectively. Many thanks to Cyrielle Tanty and Fernando Lopes at IPGP for various advices and Amel Philippe for proofreading this article. This is xxxx IPGP contribution number.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The 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>
<p>The reviewer LS declared a past co-authorship with the author JPMV to the handling editor.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<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/feart.2022.1079229/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2022.1079229/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Image1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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