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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">1086298</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1086298</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>Sequence stratigraphy of the Middle Jurassic Yan&#x2019;an Formation (NE Ordos Basin, China), relationship with climate conditions and basin evolution, and coal maceral&#x2019;s characteristics</article-title>
<alt-title alt-title-type="left-running-head">Lv 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.2022.1086298">10.3389/feart.2022.1086298</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lv</surname>
<given-names>Dawei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1993931/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shen</surname>
<given-names>Yangyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van Loon</surname>
<given-names>A. J. Tom</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Raji</surname>
<given-names>Munira</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Zhihui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2054988/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Song</surname>
<given-names>Guangzeng</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Zhouhe</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yujia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Dongdong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/975721/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Shandong Provincial Key Laboratory of Depositional Mineralization and Sedimentary Minerals</institution>, <institution>College of Earth Sciences and Engineering</institution>, <institution>Shandong University of Science and Technology</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Laboratory for Marine Mineral Resources</institution>, <institution>Qingdao National Laboratory for Marine Science and Technology</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Sustainable Earth Institute</institution>, <institution>University of Plymouth</institution>, <addr-line>Devon</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Water Conversancy and Environment</institution>, <institution>University of Jinan</institution>, <addr-line>Jinan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/899649/overview">Ruoyu Sun</ext-link>, Tianjin University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1997520/overview">Jian Chen</ext-link>, Anhui University of Science and Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1217873/overview">Xianfeng Tan</ext-link>, Chongqing University of Science and Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Zhihui Zhang, <email>zhzhihui@sdust.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Geochemistry, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1086298</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>11</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; 2023 Lv, Shen, van Loon, Raji, Zhang, Song, Ren, Wang and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Lv, Shen, van Loon, Raji, Zhang, Song, Ren, Wang and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The Yan&#x2019;an Formation of the Ordos Basin in North China is among the largest and most extensively studied Jurassic coal reservoirs in the world. The lacustrine Yan&#x2019;an Formation was investigated near Dongsheng (Ordos Basin, China) in its sequence-stratigraphic context, to understand the factors that controlled the peat accumulation and the cyclicity in the coal-bearing strata. Nine facies, grouped into two facies associations, jointly composed two third-order sequences. These represent lowstand system tracts, extended (lacustrine) system tracts and highstand system tracts. The sequence stratigraphic framework could be established on the basis of correlations of cores and logging from several wells. It appears that the coal development was controlled partly by fluctuations of the lake level. The sequence development controlled the vertical distribution of the coal seams, which mainly developed during extended lacustrine system tracts (&#x3d; during transgressive stages of the lake) and the early stage of highstand system tracts. Sequence stratigraphy and maceral analysis indicate that basin subsidence and climate were the main controlling factors for the development of the coal seams and the coal-bearing succession. A generic model was established to show the lateral and vertical distribution of coal seams in the large, subsiding lacustrine coal basin with no significant folding or faulting. Special attention is paid to the changing climate conditions. The findings are considered to help deepen the theory of coal formation; they will also help increase the efficacy of coal exploitation in basins such as the Ordos Basin.</p>
</abstract>
<kwd-group>
<kwd>Yan&#x2019;an Formation</kwd>
<kwd>Jurassic</kwd>
<kwd>Coal formation</kwd>
<kwd>Macerals</kwd>
<kwd>Ordos Basin</kwd>
<kwd>Sequence stratigraphy</kwd>
</kwd-group>
<contract-num rid="cn002">41772096</contract-num>
<contract-sponsor id="cn001">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Cycles in coal measures must be ascribed to phases in their development under conditions of regular alternation (<xref ref-type="bibr" rid="B84">Ward, 1984</xref>; <xref ref-type="bibr" rid="B11">Catuneanu, 2006</xref>; <xref ref-type="bibr" rid="B12">Catuneanu, 2020</xref>). The study of such cycles is consequently an important tool for the reconstruction of the environmental changes under which the coal was formed (<xref ref-type="bibr" rid="B19">Dai and Finkelman, 2018</xref>; <xref ref-type="bibr" rid="B30">Fielding, 2021</xref>). Moreover, a good insight into these changing environmental conditions helps not only to compare the developments in different coal-bearing successions in the same basin, but also can facilitate exploration for economically exploitable coal fields (<xref ref-type="bibr" rid="B4">Biswas et al., 2021</xref>).</p>
<p>Cyclic patterns, including those of coal measures, have always been a hot topic in geology and particularly sedimentology, with special application to coal geology. Analyses of numerous coal measures (<xref ref-type="bibr" rid="B48">Klein and Willard, 1989</xref>; <xref ref-type="bibr" rid="B47">Klein, 1990</xref>; <xref ref-type="bibr" rid="B7">Calder, 1994</xref>; <xref ref-type="bibr" rid="B8">Cameron et al., 1994</xref>) have led to the conclusion that climate is the main factor controlling these cycles (<xref ref-type="bibr" rid="B7">Calder, 1994</xref>; <xref ref-type="bibr" rid="B36">Holz et al., 2002</xref>). We here put forward sound arguments, however, that implies that quiet but somewhat irregular basin subsidence must have played an at least equally important role in the coal cycles (<xref ref-type="bibr" rid="B66">Miall, 2013</xref>). The irregular subsidence must, in addition to the climate, also have played an important role in the cyclical occurrences of specific coal types, as present in the various system tracts. Many more factors influence the formation of different types of coal, particularly tectonics, glacially-induced sea-level changes, sediment supply, and climate (<xref ref-type="bibr" rid="B48">Klein and Willard, 1989</xref>), but the role of more or less continuous basin subsidence has largely been neglected in studies varied out during the past few decades, although some studies recognized and even emphasized the importance of this aspect (<xref ref-type="bibr" rid="B97">Zhao et al., 2022</xref>).</p>
<p>The cycles of coal measures developed in tectonically quiet lacustrine basins obviously differ from those in coastal areas, as more sediment tends to be supplied, and as eustatic sea-level fluctuations commonly have no influence. These differences are also reflected in the lithology: whereas limestones tend to be common in coastal coal measures, they are very rare in lacustrine equivalents.</p>
<p>These differences are important for the present study, because the focus is here on coal seams in the lacustrine Yan&#x2019;an Formation, which forms a Jurassic succession in the Ordos Basin. Although the Yan&#x2019;an Formation and its coal measures have attracted attention already for a long time (<xref ref-type="bibr" rid="B45">Johnson et al., 1989</xref>; <xref ref-type="bibr" rid="B43">Jiao et al., 2016</xref>; <xref ref-type="bibr" rid="B83">Wang et al., 2018</xref>), still many questions have to be answered, such as 1) what types of coal-measure cycles can be distinguished in lacustrine successions such as the one under study here? 2) What system tracts are they formed in? 3) What are the differences in the coal macerals of the various coal types? And 4) what are the main factors controlling the coal formation and the cyclicity in the coal measures developed in large lacustrine basins with a relatively stable tectonic setting?</p>
</sec>
<sec id="s2">
<title>2 Study area and geological setting</title>
<p>The cyclical coal measures under study here, forming part of the Jurassic Yan&#x2019;an Formation, developed in the overall lacustrine setting of the Ordos Basin, and developed in environments ranging from a meandering river to a lacustrine delta. The study area was tectonically stable at the time, and sediment was supplied from nearby source areas (<xref ref-type="bibr" rid="B17">Chen et al., 2022</xref>).</p>
<p>The Ordos Basin, which covers an area of about 250,000&#xa0;km<sup>2</sup>, is well known for its vast energy resources (<xref ref-type="bibr" rid="B88">Yao et al., 2013</xref>; <xref ref-type="bibr" rid="B91">Zhang et al., 2017</xref>; <xref ref-type="bibr" rid="B87">Yang and Van Loon, 2022</xref>), among which coal is abundant (<xref ref-type="bibr" rid="B19">Dai and Finkelman, 2018</xref>; <xref ref-type="bibr" rid="B93">Zhang et al., 2021a</xref>; <xref ref-type="bibr" rid="B55">Li et al., 2021b</xref>). The area under study in the present contribution is the Dongsheng Coalfield near Ordos City, Inner Mongolia, which is located in the north-eastern margin of the basin (<xref ref-type="fig" rid="F1">Figure 1A</xref>). The Yan&#x2019;an Formation is well developed here and is exposed in an area of some 2,000&#xa0;km<sup>2</sup>; it reaches a thickness of 133&#x2013;279&#xa0;m.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Location of the Ordos Basin in China, and location of the study area within the Ordos Basin. <bold>(B)</bold> Borehole map of the study area. <bold>(C)</bold> Composite sedimentary log of the Yan&#x2019;an Fm., with top part of the underlying Yanchang Fm. and basal part of the overlying Zhiluo Fm.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g001.tif"/>
</fig>
<p>The development of the Yan&#x2019;an Formation must, obviously, be understood in the context of the basin&#x2019;s history. The basin originated in the Mesoproterozoic but developed a thick sedimentary succession since the Early Paleozoic (<xref ref-type="bibr" rid="B1">Akhtar et al., 2017</xref>). The surroundings of the basin have been tectonically strongly active, and Mesozoic and Cenozoic activity resulted in a complex orogenic zone around the basin (<xref ref-type="bibr" rid="B57">Liu et al., 2021</xref>). In contrast, the interior remained relatively stable, although uplift, subsidence, and some folding have taken place (<xref ref-type="bibr" rid="B45">Johnson et al., 1989</xref>; <xref ref-type="bibr" rid="B57">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B81">Wang et al., 2022</xref>; <xref ref-type="bibr" rid="B92">Zhang et al., 2022</xref>).</p>
<p>The study area, which covers part of the Dongsheng Coalfield, is situated in the area around Tongjiangchuan near Ordos City and the exposed rocks consist mainly of Mesozoic sediments (<xref ref-type="fig" rid="F1">Figure 1B</xref>). The overall more or less flat-lying sediments in the Dongsheng Coalfield form a simple homocline with a gentle dip of 1&#x2013;3&#xb0; toward the SE. A regional unconformity is present between the Late Triassic Yanchang Formation and the Middle Jurassic (<xref ref-type="fig" rid="F1">Figure 1C</xref>), which consists of the Yan&#x2019;an Fm. and the overlying Zhiluo Fm. (<xref ref-type="bibr" rid="B64">Ma et al., 2007</xref>; <xref ref-type="bibr" rid="B94">Zhang Q. et al., 2022</xref>).</p>
<p>The Yan&#x2019;an Formation is the main coal-bearing unit (<xref ref-type="fig" rid="F1">Figure 1C</xref>). It consists mainly of sandstone and mudstone, and the intercalated coal seams are divided into six main units (<xref ref-type="fig" rid="F1">Figure 1C</xref>), coded from top to bottom as 2-2, 3-1, 4-1, 5-1, 6-1, and 6-2z (<xref ref-type="bibr" rid="B51">Li et al., 1992</xref>). The six coal seams are laterally continuous in the Dongsheng Coalfield. The Yan&#x2019;an Formation is exposed at open pit mines in the coalfield, which allow a complete succession of the Yan&#x2019;an Formation to be constructed. Moreover, an extensive network of boreholes drilled across the coalfield for exploration purposes facilitates stratigraphic correlation of the Yan&#x2019;an Formation by the six coal seams.</p>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methods</title>
<p>Much is already known about the lithology of the Yan&#x2019;an Fm., so the lithofacies are mentioned only shortly (<xref ref-type="sec" rid="s3-1">Section 3.1</xref>). New information was obtained mostly by analysis of the sequence stratigraphy (<xref ref-type="sec" rid="s3-2">Section 3.2</xref>) and the coal petrology (<xref ref-type="sec" rid="s3-3">Section 3.3</xref>).</p>
<sec id="s3-1">
<title>3.1 Lithofacies analysis</title>
<p>The various lithofacies and their associations have been investigated in numerous earlier studies (<xref ref-type="bibr" rid="B65">Miall, 1977</xref>; <xref ref-type="bibr" rid="B85">Wescott and Ethridge, 1980</xref>; <xref ref-type="bibr" rid="B70">Nemec and Steel, 1988</xref>; <xref ref-type="bibr" rid="B69">Mjos and Prestholm, 1993</xref>; <xref ref-type="bibr" rid="B39">Hwang et al., 1995</xref>; <xref ref-type="bibr" rid="B46">Junnila and Young, 1995</xref>; <xref ref-type="bibr" rid="B49">Kneller and Branney, 1995</xref>; <xref ref-type="bibr" rid="B67">Miall, 1996</xref>; <xref ref-type="bibr" rid="B50">Krassay et al., 2000</xref>; <xref ref-type="bibr" rid="B6">Boyd et al., 2006</xref>; <xref ref-type="bibr" rid="B41">Ielpi, 2012</xref>; <xref ref-type="bibr" rid="B82">Wang et al., 2020</xref>) and we refer here to these studies. We carried out some additional lithofacies analyses of the coal measures (see <xref ref-type="sec" rid="s4-1">Section 4.1</xref>) in order to identify cycles, with the objective to deepen the understanding of the sedimentary environment of these coal-measure cycles (<xref ref-type="bibr" rid="B20">Diesel and Wolff-Fischer, 1986</xref>; <xref ref-type="bibr" rid="B24">Diessel and Gammidge, 1998</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Sequence stratigraphy</title>
<p>The sequence-stratigraphically important levels were identified following the method described in detail by <xref ref-type="bibr" rid="B10">Catuneanu (2019)</xref>. Initial (lake) flooding surfaces (IFS) and maximum (lake) flooding surfaces (MFS) needed most attention. IFS were identified on the basis of the transition of the stacking pattern in the succession from progradational to retrogradational, indicating that the lake changed from regression to transgression (<xref ref-type="bibr" rid="B11">Catuneanu, 2006</xref>; <xref ref-type="bibr" rid="B54">Li et al., 2018</xref>; <xref ref-type="bibr" rid="B82">Wang et al., 2020</xref>). MFS, in contrast, were recognized because of the change from retrogradation to aggradation or even progradation (<xref ref-type="bibr" rid="B54">Li et al., 2018</xref>; <xref ref-type="bibr" rid="B52">Li et al., 2020</xref>; <xref ref-type="bibr" rid="B53">Li et al., 2021a</xref>), marking the end of a lacustrine transgression with a change of the lake shoreline to regression (<xref ref-type="bibr" rid="B11">Catuneanu, 2006</xref>; <xref ref-type="bibr" rid="B54">Li et al., 2018</xref>; <xref ref-type="bibr" rid="B82">Wang et al., 2020</xref>). It can thus be deduced that, when an MFS was formed, the lake area had its largest extent, and that the sedimentation rate was lower than the rate at which the accommodation space increased. This led to the deposition of a condensed layer.</p>
<p>In order to understand the sequence-stratigraphic framework of the Yan&#x2019;an Formation in the study area, several boreholes were selected for such an analysis. As will be detailed in <xref ref-type="sec" rid="s4-2-3">Section 4.2.3</xref>, the Yan&#x2019;an Formation consists of two third-order sequences, which are characterized by a specific vertical arrangement of lithofacies associations. The various system tracts with different lithofacies associations were therefore determined, and the evolution of the depositional environment was reconstructed on the basis of core analysis from a single well and correlation of the thus obtained data with other wells (<xref ref-type="bibr" rid="B76">Souza et al., 2021</xref>).</p>
</sec>
<sec id="s3-3">
<title>3.3 Coal-petrology analysis</title>
<p>Coal samples were collected from the two coal mines (<xref ref-type="fig" rid="F1">Figure 1B</xref>): the randomly selected samples from seams 2-2, 3-1, 4-1, and 5-1 were collected from the Gaoxigou mine, and those from seams 6-1 and 6-2z were collected from the Nayuan mine. Moreover, 176 samples were collected from all coal seams at 10-cm sampling intervals for maceral analysis. The macerals were analyzed in order to obtain insight into the diagenetic conditions under which the coals had formed, and into the coal types.</p>
<p>The coal samples were air-dried, crushed to a maximum grain size of 2&#xa0;mm, and prepared as polished epoxy-bound pellets for the analyses. The macerals and inertinite reflectance of all samples were determined at the Shandong Provincial Key Laboratory of Depositional Mineralization &#x26; Sedimentary Minerals using a Zeiss Axio Scope A1 reflected-light microscope equipped with an MSP UV-VIS2000 spectrophotometer. The petrological composition was determined for each sample by counting at least 500 points and subsequently classified (<xref ref-type="bibr" rid="B77">S&#xfd;korov&#xe1; et al., 2005</xref>); the maceral classification and terminology applied in the present contribution are based on <xref ref-type="bibr" rid="B98">Taylor et al. (1998)</xref> and ICCP 1994 (<xref ref-type="bibr" rid="B40">ICCP (International, 1998</xref>). The thus counted maceral and mineral composition was subsequently converted into percentages (by volume) for each maceral and mineral.</p>
<p>Commonly used coal parameters include the Gelation Index (GI) and the Texture Preservation Index (TPI) (<xref ref-type="bibr" rid="B25">Diessel, 1986</xref>). The GI refers to the ratio between macerals with and without gelatinization in the coal: GI &#x3d; (vitrinite &#x2b; megasome)/(fusinite &#x2b; semifusinite &#x2b; inertodetrinite); this indicates the degree of gelatinization of coal-forming plant residues (<xref ref-type="bibr" rid="B23">Diessel, 1992a</xref>; <xref ref-type="bibr" rid="B26">Diessel, 1992b</xref>; <xref ref-type="bibr" rid="B44">Jiu et al., 2021</xref>; <xref ref-type="bibr" rid="B2">Akinyemi et al., 2022</xref>). The TPI refers to the ratio of textured and untextured maceral components in the vitrinite and inertinite: TPI &#x3d; (telinite &#x2b; telocollinite &#x2b; fusinite &#x2b; semifusinite)/(desmocollinite &#x2b; megasome &#x2b; inertodettinite); TPI thus indicates the degree of fragmentation of plant tissues and the ratio of xylophytes in the coal-forming plants (<xref ref-type="bibr" rid="B23">Diessel, 1992a</xref>; <xref ref-type="bibr" rid="B26">Diessel, 1992b</xref>; <xref ref-type="bibr" rid="B61">Lu et al., 2017</xref>; <xref ref-type="bibr" rid="B44">Jiu et al., 2021</xref>).</p>
<p>A GI index over 1 reflects a relatively wet climate and the probable presence of a peat swamp covered with relatively deep water (<xref ref-type="bibr" rid="B78">Teichm&#xfc;ller, 1989</xref>); a GI index of less than 1 reflects a relatively dry climate with the probable presence of a peat swamp covered with shallow water (<xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>; <xref ref-type="bibr" rid="B2">Akinyemi et al., 2022</xref>). A TPI index of over 1 indicates that the coal-forming plants were dominated by xylophytes with good structural preservation (<xref ref-type="bibr" rid="B32">Flores, 2002</xref>; <xref ref-type="bibr" rid="B34">Guo et al., 2018</xref>); a TPI index of less than 1 indicates that the coal-forming plants were dominated by herbaceous plants (<xref ref-type="bibr" rid="B35">Harvey and Dillon, 1985</xref>; <xref ref-type="bibr" rid="B20">Diesel and Wolff-Fischer, 1986</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<p>The origin of the coal seams can be understood only if their sedimentary context is understood. It is therefore necessary to pay attention here first to the various facies and facies associations in the sections under study (<xref ref-type="sec" rid="s4-1">Section 4.1</xref>). Subsequently, these facies and their associations will be dealt with in their sequence-stratigraphic context (<xref ref-type="sec" rid="s4-2">Section 4.2</xref>); when the context of the coal seams is clear, the analyses of the coal petrology will be dealt with (<xref ref-type="sec" rid="s4-3">Section 4.3</xref>). This will, finally, result in the relationship between facies and coal development (<xref ref-type="sec" rid="s4-4">Section 4.4</xref>).</p>
<sec id="s4-1">
<title>4.1 Facies and facies associations</title>
<p>It appears that nine lithofacies can be distinguished in the Yan&#x2019;an Formation within the Dongsheng Coalfield (<xref ref-type="sec" rid="s12">Supplementary Figure S1</xref>; <xref ref-type="table" rid="T1">Table 1</xref>), including some facies that contain coal, coaly material and/or plant fossils (<xref ref-type="sec" rid="s12">Supplementary Figure S1</xref>). These lithofacies can be grouped into two lithofacies associations (FA1 and FA2) (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Main lithofacies of the Yan&#x2019;an Formation in the Dongsheng Coalfield of the Ordos Basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Lithofacies code</th>
<th align="center">Lithofacies</th>
<th align="center">Description</th>
<th align="center">Interpretation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Gp</td>
<td align="center">Fining-upward graded bedding, quartzose sandy conglomerate</td>
<td align="center">The gravel is mainly composed of quartz, mainly grayish white and grayish yellow, with high hardness, poor sorting, medium roundness, and no plant fossils, tabula-bedding, parallel bedding, upward-fining trend, and multiple stages of repeated development</td>
<td align="center">Meandering river channel, delta distributary channel (<xref ref-type="bibr" rid="B85">Wescott and Ethridge, 1980</xref>; <xref ref-type="bibr" rid="B67">Miall, 1996</xref>)</td>
</tr>
<tr>
<td align="center">Sp</td>
<td align="center">Tabular cross-bedded gravel-bearing coarse-grained sandstones</td>
<td align="center">Generally grayish white, poorly sorted and rounded, containing feldspar and quartz, there are many gravel particles in the coarse sandstone layer, cross-bedding is developed in the sandstone layer, hydrodynamic conditions are strong, and no plant fossils are found</td>
<td align="center">Delta distributary channel, meandering river channel (<xref ref-type="bibr" rid="B70">Nemec and Steel, 1988</xref>; <xref ref-type="bibr" rid="B41">Ielpi, 2012</xref>)</td>
</tr>
<tr>
<td align="center">St</td>
<td align="center">Trough cross-bedded and horizontally laminated medium-grained sandstones</td>
<td align="center">Gray or gray-black, medium sorting and grinding, medium quartz content, visible horizontal bedding, and coal line development. Trough bedding and lenticular limestone nodules are developed at the bottom of the Yan&#x2019;an Formation</td>
<td align="center">Delta distributary channel, meander channel (<xref ref-type="bibr" rid="B39">Hwang et al., 1995</xref>; <xref ref-type="bibr" rid="B41">Ielpi, 2012</xref>)</td>
</tr>
<tr>
<td align="center">Sr</td>
<td align="center">Cross-bedding fine-grained sandstone</td>
<td align="center">Gray or gray-white, well sorted and rounded, high content of feldspar, which can be seen as obvious cross-bedding. Plant detrital fossils are unevenly distributed, and a layer of sandstone and a layer of organic matter are alternately arranged</td>
<td align="center">Meandering river channel, delta distributary channel (<xref ref-type="bibr" rid="B69">Mjos and Prestholm, 1993</xref>)</td>
</tr>
<tr>
<td align="center">Sh</td>
<td align="center">Horizontally laminated siltstones</td>
<td align="center">Gray or grayish-white, grayish black, large thickness, good sorting and rounding, more feldspar debris, less quartz content, containing crumby marl lens (foaming by dropping hydrochloric acid). Wavy bedding and horizontal bedding are developed</td>
<td align="center">Floodplains, mouth bars, and natural levee of meandering river (<xref ref-type="bibr" rid="B69">Mjos and Prestholm, 1993</xref>; <xref ref-type="bibr" rid="B46">Junnila and Young, 1995</xref>; <xref ref-type="bibr" rid="B50">Krassay et al., 2000</xref>)</td>
</tr>
<tr>
<td align="center">Fm</td>
<td align="center">Gray, horizontally laminated mudstone</td>
<td align="center">Gray, grayish black and grayish white, the surface is seriously weathered, the fracture is greasy luster, most of them develop horizontal bedding, and there are a large number of plant fossils (plant debris rhizomes).Some mudstones contain silty mudstone, argillaceous siltstone, coal line and marl lens</td>
<td align="center">Peat bogs, Floodplains, natural levee of meandering rivers, wash land (<xref ref-type="bibr" rid="B74">Reading, 1996</xref>)</td>
</tr>
<tr>
<td align="center">Fl</td>
<td align="center">Rooted mudstone</td>
<td align="center">The rocks are mostly distributed in the lower part of the coal seam, the color is gray or gray black, the bedding is not obvious, and the plant rhizome fossils are mostly perpendicular or oblique to the layer</td>
<td align="center">Peat mire (<xref ref-type="bibr" rid="B26">Diessel, 1992b</xref>)</td>
</tr>
<tr>
<td align="center">C</td>
<td align="center">Coal</td>
<td align="center">Light black, black, thin or massive; banded structure, and the weathered surface is powder; the cleavage surface is glassy. Plant stem and leaf fossils can be seen, which is developed on a large scale in the Yan&#x2019;an Formation</td>
<td align="center">Peat mire, flood plain (<xref ref-type="bibr" rid="B23">Diessel, 1992a</xref>; <xref ref-type="bibr" rid="B26">Diessel, 1992b</xref>; <xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>)</td>
</tr>
<tr>
<td align="center">FI</td>
<td align="center">Interbedded gray sandstone and gray-white mudstone</td>
<td align="center">Grayish-white, thinly laminated, medium sorting and rounding, ranges from centimeters to meters in thickness, sandstone alternates with mudstone, heavily weathered and develops horizontal laminated, mudstone contains coal line, fossilized plant stems and leaves is distributed in layers</td>
<td align="center">Peat mire, flood plain, washland (<xref ref-type="bibr" rid="B67">Miall, 1996</xref>)</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Facies associations of the Yan&#x2019;an Formation in the Dongsheng Coalfield of the Ordos Basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Facies associations</th>
<th align="center">Constituent facies</th>
<th align="center">Depositional environment</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">FA1</td>
<td align="center">Gp, Sp, St, Sr, Sh, C, Fm</td>
<td align="center">Meandering river</td>
</tr>
<tr>
<td align="center">FA2</td>
<td align="center">St, Sr, Sh, FI, Fr, C, Fm</td>
<td align="center">Lacustrine delta</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s4-1-1">
<title>4.1.1 Facies and depositional environment of association FA1</title>
<p>Seven lithofacies are grouped in this association because the facies are stacked upon each other and jointly show a fining upward trend (<xref ref-type="sec" rid="s12">Supplementary Figure S2A</xref>). The nine lithofacies of FA1 are characterized by, respectively, quartzose sandy conglomerates that show distinct scouring and that are occasionally discontinuous (lithofacies Gp), tabular cross-bedded gravel-bearing coarse-grained sandstones (Sp), trough cross-bedded and horizontally laminated medium-grained sandstones (St), cross-bedded fine-grained sandstone (Sr), horizontally laminated siltstones (Sh), coal or coaly beds (C), and gray, horizontally laminated mudstones (Fm) (<xref ref-type="sec" rid="s12">Supplementary Figure S2A</xref>). Lithofacies Gp and Sp, which form the lowest part of FA1, consist of moderately sorted and poorly rounded particles. Lithofacies St and Sr have, in contrast, well sorted and rounded sand grains. Facies Sh and Fm overly Sr and contain fairly frequent plant fossils. Lithofacies C is about 0.3&#x2013;0.4&#xa0;m thick and forms the top of FA1.</p>
<p>The interpretation of these lithofacies is simple, as they have been described frequently in studies from successions ranging from the Carboniferous to the Neogene. They are characteristic of a meandering river system. Lithofacies Gp is common in the channels of a meandering river and in the distributary channels of a delta (<xref ref-type="bibr" rid="B60">Lowe, 1982</xref>). Lithofacies Sp typically suggests an environment with high-energy currents. Lithofacies St and Sr are characteristic of point bars. The plant fossils indicate weak currents and settling from suspension, which is common for a flood plain. Consequently, all lithofacies fit in the system of a meandering river depositional environment.</p>
</sec>
<sec id="s4-1-2">
<title>4.1.2 Facies and depositional environment of association FA2</title>
<p>The seven lithofacies of this association are characterized, respectively, by trough and tabular cross-bedded and horizontally laminated medium-grained well-sorted sandstones with rounded grains (St), trough and tabular cross-bedded fine-grained well-sorted sandstones with rounded sand grains (Sr), horizontally laminated siltstones (Sh), gray, horizontally laminated mudstones (Fm), intercalated gray sandstones and grayish-white mudstones (FI) with plant fossils, rooted clay (Fr), and coal beds (C) (<xref ref-type="sec" rid="s12">Supplementary Figure S2B</xref>). Compared with association FA1, the grain size is smaller. Facies Fm and C, which form the lowermost facies of FA2, contain plant fossils. These facies are overlain by facies Sh, which contain a number of thin-layered coal seams in their top parts. The topmost facies of FA2 are facies Fm and C. Facies C is locally intercalated within rooted clay.</p>
<p>The interpretation of the depositional environment of association FA2 is a lacustrine delta. Facies Fm and C with their numerous plant fossils indicate low-energy conditions well comparable to those of a prodelta, deep-marine or lacustrine environment (<xref ref-type="bibr" rid="B74">Reading, 1996</xref>; <xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>). The horizontally bedded facies Sh has been interpreted by Miall (1996) as characteristic of an interdistributary bay. The combination with facies Sr suggests deposition as a mouth bar (<xref ref-type="bibr" rid="B69">Mjos and Prestholm, 1993</xref>). Facies St and Sr with their tabular and trough cross-bedding and scours, represent distributary channels (<xref ref-type="bibr" rid="B69">Mjos and Prestholm, 1993</xref>; <xref ref-type="bibr" rid="B39">Hwang et al., 1995</xref>; <xref ref-type="bibr" rid="B41">Ielpi, 2012</xref>). Facies C and Fm at the top of the association indicate a peat-bog environment (<xref ref-type="bibr" rid="B23">Diessel, 1992a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>; <xref ref-type="bibr" rid="B27">Edress et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Guatame and Rinc&#xf3;n, 2021</xref>). The vertical fine-grained succession of association FA2 thus represents a lacustrine deltaic environment.</p>
</sec>
</sec>
<sec id="s4-2">
<title>4.2 Sequence stratigraphy</title>
<p>The sediments under study have been analyzed for their sequence-stratigraphic aspects. The results are presented in the following sections for the sequence boundaries (<xref ref-type="sec" rid="s4-2-1">Section 4.2.1</xref>) and the boundaries of the system tracts (<xref ref-type="sec" rid="s4-2-2">Section 4.2.2</xref>). This results in a sequence-stratigraphic framework (<xref ref-type="sec" rid="s4-2-3">Section 4.2.3</xref>), representing two third-order sequences (S-1 and S-2) that are each dealt with in <xref ref-type="sec" rid="s4-2-3-1">Sections 4.2.3.1</xref>, <xref ref-type="sec" rid="s4-2-3-2">4.2.3.2</xref>, respectively.</p>
<sec id="s4-2-1">
<title>4.2.1 Sequence boundaries</title>
<p>The sequence boundaries of the Yan&#x2019;an Formation in the study area are represented by regional unconformities and abrupt changes of the facies, due to the (also abruptly changing) depositional conditions (<xref ref-type="sec" rid="s12">Supplementary Figure S3</xref>). It appears that three such unconformities can be distinguished (from bottom to top sequence boundaries SB1 to SB3), thus bounding (see <xref ref-type="sec" rid="s4-3-2">Section 4.3.2</xref>) two complete third-order sequences (S-1 and S-2).</p>
<p>The lowermost sequence boundary (SB1) is the unconformity that forms the boundary between the Yan&#x2019;an Formation and the underlying Yanchang Formation. This sequence boundary forms the base of sequence S-1 (<xref ref-type="sec" rid="s12">Supplementary Figure S3A</xref>), which starts with facies Gp and Sp. The quartz grains are oriented more or less horizontally, parallel lamination and cross-bedding occur frequently, and erosion by the currents in the river is distinctly present (<xref ref-type="sec" rid="s12">Supplementary Figure S1A</xref>). Sequence S-1 is bounded at its top by sequence boundary SB2. The transition from the coarse top of sequence S-1 to sequence S-2 is lithologically abrupt: the lower part of sequence S-2 is dominated by silty mudstones. The upper part of sequence S-2 gradually changes into coarse and thick sandstones. The channel erosion is distinct (<xref ref-type="sec" rid="s12">Supplementary Figure S3C</xref>). Sequence S-2 is bounded at the top by sequence boundary SB3, which is the unconformity between the Yan&#x2019;an Formation and the overlying Zhiluo Formation. This unconformity represents an incised valley (<xref ref-type="sec" rid="s12">Supplementary Figure S3B</xref>).</p>
</sec>
<sec id="s4-2-2">
<title>4.2.2 System tract boundaries</title>
<p>System tract boundaries are controlled by changes of the base-level (<xref ref-type="bibr" rid="B79">Van Wagoner et al., 1988</xref>), and are represented by initial flooding surfaces (IFS) and maximum flooding surface (MFS).</p>
<p>IFS can be identified because of the transition of the succession from progradational to retro gradational (<xref ref-type="sec" rid="s12">Supplementary Figure S3D</xref>), which indicates that a (here: lacustrine) regression changed into a transgression (<xref ref-type="bibr" rid="B11">Catuneanu, 2006</xref>; <xref ref-type="bibr" rid="B9">Catuneanu et al., 2009</xref>; <xref ref-type="bibr" rid="B54">Li et al., 2018</xref>). This development results in a distinct lithofacies change (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). The beginning of the lacustrine transgression is reflected by a lower part of the succession that commonly consists of fluvial sandstones (<xref ref-type="sec" rid="s12">Supplementary Figure S3D</xref>) and an upper part that is dominated by deltaic sand- and mudstones.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Lithology, lithofacies, depositional environment and sequence stratigraphy as determined for borehole 30. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for well location.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Lithology, lithofacies, depositional environment and sequence stratigraphy as determined for borehole 243. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for well location.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g003.tif"/>
</fig>
<p>The MFS are recognized by their change from retrogradation to progradation (<xref ref-type="sec" rid="s12">Supplementary Figure S3E</xref>), marked by a lake shoreline trajectory transition from an extended (lake) system tract (EST) to a highstand system tract (HST) (<xref ref-type="bibr" rid="B75">Shanley and McCabe, 1994</xref>; <xref ref-type="bibr" rid="B73">Plint et al., 2001</xref>; <xref ref-type="bibr" rid="B11">Catuneanu, 2006</xref>). The lower part of the MFS of the Yan&#x2019;an Formation consists of mudstones and a coal seam, whereas the upper part consists of sandstones (<xref ref-type="sec" rid="s12">Supplementary Figure S3E</xref>). The MFS is often accompanied by a condensed layer that represents the end of the lake transgression (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>).</p>
</sec>
<sec id="s4-2-3">
<title>4.2.3 Sequence stratigraphic framework</title>
<p>Based on the analysis of the sequence boundaries, the Yan&#x2019;an Formation can be subdivided into two third-order sequences: S-1 and S-2 (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). The system tracts were identified by the key surfaces and the sedimentary stacking patterns (<xref ref-type="bibr" rid="B13">Catuneanu, 2002</xref>; <xref ref-type="bibr" rid="B12">Catuneanu, 2020</xref>), including the lowstand systems tract (LST), extended (lake) system tract (EST), and highstand system tract (HST).</p>
<sec id="s4-2-3-1">
<title>4.2.3.1 <italic>Sequence S-1</italic>
</title>
<p>S-1 consists of the sediments between sequence boundaries SB1 and SB2 (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). It thins from the center of the basin toward all its margins (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>) and formed in a meandering river and a lacustrine delta.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>NW-SE cross-section (A-A&#x2032;) through the Yan&#x2019;an Formation, showing lithofacies, interpreted depositional environments (including coal seams) and sequence-stratigraphic data. The intraformational sequence boundary SB2 is taken as horizontal. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for location of the cross-section.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>NE-SW cross-section (B-B&#x2032;) through the Yan&#x2019;an Formation, showing lithofacies, interpreted depositional environments (including coal seams) and sequence-stratigraphic data. The intraformational sequence boundary SB2 is taken as horizontal. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for location of the cross-section.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>NW-SE cross-section (C-C&#x2032;) through the Yan &#x2018;an Formation, showing lithofacies, interpreted depositional environments (including coal seams) and sequence-stratigraphic data. The intraformational sequence boundary SB2 is taken as horizontal. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for location of the cross-section.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>NE-SW cross-section (D-D&#x2032;) through the Yan&#x2019;an Formation, showing lithofacies, interpreted depositional environments (including coal seams) and sequence-stratigraphic data. The intraformational sequence boundary SB2 is taken as horizontal. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for location of the cross-section.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>NE-SW cross-section (E-E&#x2032;) through the Yan&#x2019;an Formation, showing lithofacies, interpreted depositional environments (including coal seams) and sequence-stratigraphic data. The intraformational sequence boundary SB2 is taken as horizontal. See <xref ref-type="fig" rid="F1">Figure 1B</xref> for location of the cross-section.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g008.tif"/>
</fig>
<p>The LST comprises FA1 and FA2 (mainly lithofacies Gp, St, and Sp), showing a stacking pattern reflecting progradation. A meandering river was situated near the source area and a lacustrine delta was present at the margin of the basin. The EST consists predominantly of FA2 (lithofacies Sr, Sh and FI), reflecting a retrogradation pattern and representing a lacustrine delta. The thickness of the coal seam in the EST, which represents the main coal-forming phase of the Yan&#x2019;an Formation, is 3&#x2013;5&#xa0;m. The HST is composed near the provenance area mainly of FA2 (lithofacies St and Sr, and near the basin of lithofacies FI and Sh). The thickness of the coal seam is 2&#x2013;3&#xa0;m. The lake level fell, and the sediments were deposited in a meandering river and on a lacustrine delta (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>).</p>
<p>The interpretation of this sequence is that the Yan&#x2019;an Formation initially (during the LST) inherited the mainly fluvial sedimentary pattern of the Yanchang Formation (<xref ref-type="bibr" rid="B57">Liu et al., 2021</xref>). The source area was situated to the north and northwest of the basin. Still during the LST, and continuing during the HST, the supply of clastics from the source area increased and the river channel became extended. Due to the limited accommodation space, no thick coal seams could develop during the LST.</p>
<p>The EST formed during ongoing expansion of the lake area, accompanied by a rise of the base level. The sedimentary environment changed from a meandering river to a lacustrine delta and FA1 became replaced by FA2. Along the margin of the basin, lithofacies FI developed, while a condensed mudstone (MFS) represents the EST in the basin center. The increasing accommodation space kept more or less space with the higher peat production during the EST, so that thick coal seams could develop.</p>
<p>During the HST, the base level was lowered, and clastics were continuously supplied to the basin, resulting in progradation. Although the lake level fell, the accommodation space was initially in balance with the peat production, resulting in a thick coal seam. In a later phase of the HST, the accommodation space was no longer in balance with the possible peat production, so that no thick coal seams developed (<xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>). The environment consisted for most part of a lacustrine delta, whereas the meandering river remained present only directly adjacent to the source area.</p>
</sec>
<sec id="s4-2-3-2">
<title>4.2.3.2 <italic>Sequence S-2</italic>
</title>
<p>Sequence S-2 is the succession between SB2 at its base and SB3 at its top (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). It thins from southwest to northeast (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>), and it was deposited by a meandering river and a lacustrine delta.</p>
<p>The LST, which consists of FA1 and FA2 (lithofacies St and Sr) and shows progradation characteristics, is thinner than in S-1. A meandering river was present close to the source area, whereas the lacustrine delta was far away. The EST, which is built by FA2 (lithofacies Sr, Sh, Fm, and C; the coal seam is 3&#xa0;m thick) reflects retrogradation of the lacustrine delta. The HST consists of FA1 and FA2 (lithofacies St, Sr, and FI) with a thick coal seam during the beginning of the HST, and a thin one during a later phase. The HST shows an overall progradation of the delta. Both the meandering river and the lacustrine delta remained the main sedimentary environments (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>).</p>
<p>The interpretation of this sequence is that an unconformity with an erosional channel forms the base of this sequence (<xref ref-type="sec" rid="s12">Supplementary Figure S3C</xref>). The lake shrank and the base level of the meandering river near the source area, relatively far away from the lacustrine delta, was lowered. Due to the continuous supply of sediment, the delta became wider, and due to the small accommodation space, no thick coal seams could develop during the LST (<xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>; <xref ref-type="bibr" rid="B59">Liu et al., 2020</xref>).</p>
<p>At the top of the LST, the lake basin expanded and an EST formed with fine-grained sediments. The base level rose and the accommodation space increased, which favored the formation of thick coal seams.</p>
<p>The subsequent HST is represented by a thick succession that consists of lithofacies St, Sr, Sh, and C, and which shows a stacking pattern indicating progradation. Although the base level of the HST was lowered, the accommodation space could initially keep pace with the peat production due to ongoing subsidence, resulting in thick coal seams. Afterwards, a decrease in the subsidence rate caused that the accommodation space was insufficient during the HST for peat accumulation, so that thick coal seams could not develop.</p>
<p>The overall paleogeography did not change fundamentally: a meandering river existed near the source area and a lacustrine delta dominated the margin of the basin.</p>
</sec>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Coal petrology</title>
<p>The various aspects mentioned in the methods section about the coal-petrology analysis are dealt with here in the same order: first the results of the maceral analysis (<xref ref-type="sec" rid="s4-3-1">Section 4.3.1</xref>), then the TPI and GI indices (<xref ref-type="sec" rid="s4-3-2">Section 4.3.2</xref>).</p>
<sec id="s4-3-1">
<title>4.3.1 Maceral analysis</title>
<p>Inertinite is the most abundant maceral group with a content varying from 29.85% to 73.22% by volume (<xref ref-type="table" rid="T3">Table 3</xref>). The content decreases initially upwards, but then increases again (<xref ref-type="fig" rid="F9">Figure 9A</xref>). The vitrinite content varies from 20.06% to 64.29% by volume (<xref ref-type="table" rid="T3">Table 3</xref>); it increases initially upwards, but then decreases again (<xref ref-type="fig" rid="F9">Figure 9A</xref>). The vitrinite content is lowest in coal seam 6-2z, and maximum in seam 4-1. The liptinite content varies from 2.47% to 9.45% by volume.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Average maceral and mineral content of the various coal seams in the Yan&#x2019;an Formation in the study area.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Coal seam</th>
<th align="center">V (vol/%)</th>
<th align="center">I (vol/%)</th>
<th align="center">L (vol/%)</th>
<th align="center">M (vol/%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2-2</td>
<td align="char" char=".">36.57</td>
<td align="char" char=".">49.92</td>
<td align="char" char=".">9.45</td>
<td align="char" char=".">4.05</td>
</tr>
<tr>
<td align="center">3-1</td>
<td align="char" char=".">47.94</td>
<td align="char" char=".">46.03</td>
<td align="char" char=".">3.48</td>
<td align="char" char=".">2.56</td>
</tr>
<tr>
<td align="center">4-1</td>
<td align="char" char=".">64.29</td>
<td align="char" char=".">29.85</td>
<td align="char" char=".">3.14</td>
<td align="char" char=".">2.72</td>
</tr>
<tr>
<td align="center">5-1</td>
<td align="char" char=".">56.38</td>
<td align="char" char=".">39.43</td>
<td align="char" char=".">2.74</td>
<td align="char" char=".">1.45</td>
</tr>
<tr>
<td align="center">6-1</td>
<td align="char" char=".">39.11</td>
<td align="char" char=".">54.75</td>
<td align="char" char=".">3.20</td>
<td align="char" char=".">2.94</td>
</tr>
<tr>
<td align="center">6-2z</td>
<td align="char" char=".">20.06</td>
<td align="char" char=".">73.22</td>
<td align="char" char=".">2.86</td>
<td align="char" char=".">3.86</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>V, vitrinite; I, inertinite; L, liptinite; M, mineral particles.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> Average maceral and mineral content (in weight percentage) of the samples from the six investigated coal seams. V, vitrinite; I, inertinite; L, liptinite; M, mineral particles). <bold>(B)</bold> Relationship between the GI and TPI indices of the coal samples, with environmental interpretation.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g009.tif"/>
</fig>
<p>The mineral content in the coals varies from 1.45% to 4.05% by volume (<xref ref-type="table" rid="T3">Table 3</xref>). Like the liptinite, the mineral content is relatively low and relatively stable.</p>
</sec>
<sec id="s4-3-2">
<title>4.3.2 The TPI and GI indices</title>
<p>The GI value, which varies from 0.23 to 9.24, increases initially and then decreases upwards (<xref ref-type="sec" rid="s12">Supplementary Table S1</xref>). This index is relatively high for the 4-1 coal seam. GI indices higher than 1 are found for coal seams 6-1, 5-1, 4-1, and 3-1 coal. These &#x3e;1 values indicate relatively humid conditions.</p>
<p>The TPI values vary from .32 to 9.35 and are mostly higher than 1 (<xref ref-type="sec" rid="s12">Supplementary Table S1</xref>), indicating that the plant tissues are well-preserved and that xylophytes form a major part.</p>
</sec>
</sec>
<sec id="s4-4">
<title>4.4 Relationship between facies and coal development</title>
<p>The above findings indicate that the coal seams in the Yan&#x2019;an Formation have different characteristics in facies associations FA1 and FA2. Those in FA1 are mostly developed in successions representing an LST or HST, which implies development in a fluvial environment. In contrast, the coal seams in FA2 were formed during the EST in a lacustrine delta environment.</p>
<p>Another difference between FA1 and FA2 regards the thicknesses and petrographic characteristics of the coal seams. Those formed in FA1 are thinner than those in FA2. Moreover, the vitrinite content of the coal in FA1 is lower than in FA2.</p>
<p>The values of the TPI and GI indices in the coals of FA1 are relatively low (TPI &#x3c; 2 and GI &#x3c; 1) than those in FA2 (TPI &#x3e;2 and GI &#x3e;1) (<xref ref-type="fig" rid="F9">Figure 9B</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>Several aspects need some more attention. These regard the more precise environment in which the coal seams could develop (<xref ref-type="sec" rid="s5-1">Section 5.1</xref>) and the factors that controlled the coal development (<xref ref-type="sec" rid="s5-2">Section 5.2</xref>). On the basis of these analyses, a model for the coal accumulation is developed (<xref ref-type="sec" rid="s5-3">Section 5.3</xref>).</p>
<sec id="s5-1">
<title>5.1 Coal-forming environments</title>
<p>The 2-2 coal seam, which is present in FA2, formed during the HST in a meandering river or lacustrine delta environment (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>). This occurred when the lake level fell and the accommodation space increased less than the peat production, so that the conditions were not favorable for the development of peat accumulation (<xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>; <xref ref-type="bibr" rid="B16">Chalmers et al., 2013</xref>).</p>
<p>Coal seams 6-2z, 6-1, 5-1, 4-1, and 3-1, which also form part of FA2, occur in the EST or an early phase of the HST; they developed in a lacustrine deltaic environment. There was less supply of clastic sediment, but the accommodation space increased (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>). The lake level kept pace with the accommodation space and the peat production. The plant material accumulated during a fairly long time-span, resulting in a thick accumulation of the peat that eventually formed fairly thick coal seams (<xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>; <xref ref-type="bibr" rid="B16">Chalmers et al., 2013</xref>).</p>
<p>As already mentioned in <xref ref-type="sec" rid="s3-3">Section 3.3</xref>, the TPI and GI indices of the coal samples (<xref ref-type="fig" rid="F9">Figure 9B</xref>) provide additional environmental information, particularly if their mutual relationship is taken into account (<xref ref-type="fig" rid="F9">Figure 9A</xref>). It can thus be deduced that a moist forest swamp existed in which the 6-1, 5-1, 4-1, and 3-1 coal seams were formed, whereas a dry forest swamp enabled the development of the 2-2 and 6-2z coal seams. The environment was thus dominated by a forest peat swamp throughout the peat development (<xref ref-type="bibr" rid="B33">Guatame and Rinc&#xf3;n, 2021</xref>).</p>
</sec>
<sec id="s5-2">
<title>5.2 Factors controlling coal formation in the study area</title>
<p>Four factors (climate, sediment supply, tectonics and eustasy) tend to control sequence stratigraphy (<xref ref-type="bibr" rid="B36">Holz et al., 2002</xref>). In contrast to full-marine basins that are controlled particularly by tectonics and glacially-induced eustasy (<xref ref-type="bibr" rid="B86">Wilgus et al., 1988</xref>), the sequence stratigraphy of continental basins is determined primarily by lake-level fluctuations, sediment supply and climate (<xref ref-type="bibr" rid="B72">Petersen et al., 2013</xref>; <xref ref-type="bibr" rid="B34">Guo et al., 2018</xref>). These are not mutually independent factors, however: sediment supply is largely controlled by climate and tectonics, because they influence weathering, erosion and accommodation space (<xref ref-type="bibr" rid="B36">Holz et al., 2002</xref>). Consequently, climate may be considered as a factor that may considerably influence the sequence stratigraphy of stable continental basins (<xref ref-type="bibr" rid="B7">Calder, 1994</xref>). The study area was located in the northeastern margin of the Ordos Basin (<xref ref-type="bibr" rid="B96">Zhao et al., 2020</xref>), which had a tectonically quiet setting during the Middle Jurassic (<xref ref-type="bibr" rid="B18">Cheng et al., 1997</xref>; <xref ref-type="bibr" rid="B56">Li et al., 2015</xref>; <xref ref-type="bibr" rid="B93">Zhang et al., 2021a</xref>). It is therefore deduced in modern Chinese studies that the most important factor that controlled the coal formation in the succession under study was climate. This is particularly of interest because the characteristics of the macerals (vitrinite and inertinite contents, V/I and AR/PPR ratios, GPI and TI indices) in all six coal seams under study show that wet and dry conditions alternate during the accumulation of the peat while the coal seams originated (<xref ref-type="table" rid="T4">Table 4</xref>). We will show in <xref ref-type="sec" rid="s5-2-2">Section 5.2.2</xref>. That&#x2013;in contrast to what is commonly assumed nowadays&#x2014;(probably slightly irregular) subsidence of the basin must have been at least equally important as the climate with respect to the development of the coal measures in the Yan&#x2019;an Formation.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Tendency (increasing or decreasing) of the maceral characteristics in the coal seams under study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Coal seam</th>
<th colspan="2" align="center">Coal seam</th>
<th colspan="2" align="center">Coal seam</th>
<th colspan="2" align="center">Coal seam</th>
<th colspan="2" align="center">Coal seam</th>
<th colspan="2" align="center">Coal seam</th>
<th colspan="2" align="center">Coal seam</th>
</tr>
<tr>
<th align="left"/>
<th colspan="2" align="center">6-2z</th>
<th colspan="2" align="center">6-1</th>
<th colspan="2" align="center">5-1</th>
<th colspan="2" align="center">4-1</th>
<th colspan="2" align="center">3-1</th>
<th colspan="2" align="center">2-2</th>
</tr>
<tr>
<th align="left"/>
<th align="center">Bottom part</th>
<th align="center">Top part</th>
<th align="center">Bottom part</th>
<th align="center">Top part</th>
<th align="center">Bottom part</th>
<th align="center">Top part</th>
<th align="center">Bottom part</th>
<th align="center">Top part</th>
<th align="center">Bottom part</th>
<th align="center">Top part</th>
<th align="center">Bottom part</th>
<th align="center">Top part</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Vitrinite content</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
</tr>
<tr>
<td align="center">Inertinite content</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
</tr>
<tr>
<td align="center">V/I ratio</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
</tr>
<tr>
<td align="center">GI</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
</tr>
<tr>
<td align="center">TPI</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
</tr>
<tr>
<td align="center">AR/PPR</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2191;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
<td align="center">&#x2193;</td>
</tr>
<tr>
<td align="center">Paleoclimate</td>
<td align="center">Dry</td>
<td align="center">Wet</td>
<td align="center">Dry</td>
<td align="center">Wet</td>
<td align="center">Wet</td>
<td align="center">Dry</td>
<td align="center">Wet</td>
<td align="center">Humid</td>
<td align="center">Wet</td>
<td align="center">Dry</td>
<td align="center">Wet</td>
<td align="center">Dry</td>
</tr>
<tr>
<td align="center">Depositional stage</td>
<td colspan="2" align="center">Expansion lake</td>
<td colspan="2" align="center">Expansion lake</td>
<td colspan="2" align="center">Shrinking lake</td>
<td colspan="2" align="center">Expanding lake</td>
<td colspan="2" align="center">Shrinking lake</td>
<td colspan="2" align="center">Shrinking lake</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s5-2-1">
<title>5.2.1 Maceral characteristics in the coal seams and environmental implications</title>
<p>The vitrinite and inertinite contents in coal are commonly used to reconstruct the depositional environment of the vegetation (<xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>): vitrinite is formed from the roots and leaves of plants in a reducing environment covered with water, whereas inertinite is formed by the roots and leaves of plants under relatively dry oxidizing conditions. A high content of vitrinite in the coal samples under study thus indicates that the conditions were relatively wet, and that accumulation could take place because the accommodation space increased; in contrast, a high inertinite content indicates that the conditions were relatively dry (<xref ref-type="bibr" rid="B33">Guatame and Rinc&#xf3;n, 2021</xref>). In other words: the ratio between vitrinite and inertinite (V/I ratio) is a proxy for the degree of reducing conditions to which the peat was exposed (<xref ref-type="bibr" rid="B35">Harvey and Dillon, 1985</xref>). If V/I is less than 1, the peat is considered to have accumulated in an oxidizing environment.</p>
<p>The ratio between the increase in accommodation space and the peat production (commonly indicated as the AR/PPR ratio) is also an important index to evaluate the depositional conditions (<xref ref-type="bibr" rid="B5">Bohacs and Suter, 1997</xref>; <xref ref-type="bibr" rid="B22">Diessel et al., 2000a</xref>; <xref ref-type="bibr" rid="B21">Diessel et al., 2000b</xref>; <xref ref-type="bibr" rid="B59">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="B82">Wang et al., 2020</xref>). The V/I ratio and the GI and TPI indices of the various coal seams, as well as the trends of the vitrinite and inertinite, are shown in <xref ref-type="fig" rid="F9">Figure 9A</xref> and <xref ref-type="table" rid="T4">Table 4</xref>. More details about the characteristics of the macerals in the six coal seams under study are presented in the following subsections.</p>
<sec id="s5-2-1-1">
<title>5.2.1.1 <italic>Macerals in the 6-2z coal seam</italic>
</title>
<p>The vitrinite and inertinite values reflect that the peat accumulated initially in a dry oxidizing environment that changed into a wet reducing environment. The GI and TPI indices reflect that xylophytes dominated and support the finding that the environment changed from dry to wet. The change in the AR/PPR ratio indicates the base level was rising, which is consistent with an expanding lake.</p>
<p>Taking all above data together, it can be deduced that the conditions changed from dry to wet, and that the lake expanded (<xref ref-type="fig" rid="F10">Figure 10</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Relationship between sequence stratigraphy, occurrences of coal seams, maceral, and the astronomical 405-ka (eccentricity) cycle for the Yan&#x2019;an Formation in the study area.</p>
</caption>
<graphic xlink:href="feart-10-1086298-g010.tif"/>
</fig>
</sec>
<sec id="s5-2-1-2">
<title>5.2.1.2 <italic>Macerals in the 6-1 coal seam</italic>
</title>
<p>The vitrinite and inertinite concentrations reflect that the peat was exposed initially to dry, oxidizing conditions that changed into wet, reducing conditions (<xref ref-type="table" rid="T4">Table 4</xref>). The GI and TPI values are above 1, indicating that xylophytes dominated and supporting the finding that the environment changed from dry to wet. The initially decreasing and subsequently rising AR/PPR values fluctuate around 1; they indicate that the base level was rising so that the lake expanded.</p>
<p>Compared with the 6-2z coal seam, the environment was wetter.</p>
</sec>
<sec id="s5-2-1-3">
<title>5.2.1.3 <italic>Macerals in the 5-1 coal seam</italic>
</title>
<p>The vitrinite and inertinite concentrations reflect wet, reducing conditions, with an upward drying tendency (<xref ref-type="table" rid="T4">Table 4</xref>). The changing TPI and GI values are more than 1, which indicates that xylophytes dominated and that the environment changed from wet to dry. The AR/PPR ratio, fluctuating between 1 and 1.18, increases upwards, reflecting a rising base level due to a lacustrine transgression.</p>
<p>Compared with the 6-1 coal seam, the environment had become dryer, and the lake was shrinking.</p>
</sec>
<sec id="s5-2-1-4">
<title>5.2.1.4 <italic>Macerals in the 4-1 coal seam</italic>
</title>
<p>The vitrinite and inertinite indicate that the peat was exposed to wet, reducing conditions, changing to humid (<xref ref-type="table" rid="T4">Table 4</xref>). The TPI and GI values indicate that xylophytes dominated. The AR/PPR ratio changed from less than 1 in the lower part of the seam to more than 1 in the upper part, reflecting a base level drop followed by arise, indicating expansion of the lake.</p>
<p>Compared with the 5-1 coal seam, the environment was wetter.</p>
</sec>
<sec id="s5-2-1-5">
<title>5.2.1.5 <italic>Macerals in the 3-1 coal seam</italic>
</title>
<p>In the 3-1 coal seam, the vitrinite and inertinite values, in combination with the V/I ratio that is more than 1 in the lower part of the seam and more than 1 in the upper part, indicate that the conditions changed from wet and reducing to dry and oxidizing. The TPI and GI indices simultaneously change from more than 1 to less than 1, indicating that xylophytes dominated and supporting the finding that the conditions changed from wet to dry. The AR/PPR ratio varied but fluctuated around 1; it indicates that the base level was lowered, reflecting a drop of the lake level and consequently shrinking of the lake (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<p>Compared with the 4-1 and 5-1 coal seams, the conditions of the 3-1 coal seam were dryer than those of the 4-1 coal seam but similar to those of the 5-1 coal seam.</p>
</sec>
<sec id="s5-2-1-6">
<title>5.2.1.6 <italic>Macerals in the 2-2 coal seam</italic>
</title>
<p>In the 2-2 coal seam, the vitrinite and inertinite contents reflect that the peat was exposed to dry, oxidizing conditions. The TPI and GI values indicate that xylophytes dominated and that the conditions changed from wet to dry (<xref ref-type="table" rid="T4">Table 4</xref>). The AP/PPR ratio, which is less than 1, indicates that the base level gradually became lower.</p>
<p>Compared with the 3-1 coal seam, the environment was drier, and the lake shrank (<xref ref-type="fig" rid="F10">Figure 10</xref>).</p>
</sec>
</sec>
<sec id="s5-2-2">
<title>5.2.2 Climate as a factor influencing the sequence stratigraphy</title>
<p>As indicated above, the sediment influx and, particularly, the climate conditions and basin subsidence appear to have controlled the lake level, and, consequently, whether the lake expanded or shrank. The influence of the climate is supported by the maceral variation: the coal seams 6-2z, 6-1, and 4-1 formed in the EST of both sequences (<xref ref-type="fig" rid="F10">Figure 10</xref>). The conditions changed from dry to wet during expansion of the lake, which is consistent with EST characteristics. However, the 5-1, 3-1, and 2-2 coal seams formed during the HST of both sequences. The conditions then changed from wet to dry, during shrinking of the lake, which is consistent with HST characteristics. This shows that the fluctuating lake level was the main factor controlling the sequence stratigraphy, and this must have played an important role in the coal formation. Possibly the fluctuations in the lake level were influenced to some degree by climate changes (resulting in e.g., more or less precipitation and consequently more or less inflow of water, more or less evaporation, etc.), but it is physically impossible that the changing meteorological conditions caused the development of the entire succession of the Yan&#x2019;an coal measures.</p>
<p>Nevertheless, <xref ref-type="bibr" rid="B58">Liu and Li (2007)</xref> proposed that the climate was the main factor to control short-lived sequences without sedimentary hiatuses during tectonically quiet stages of lacustrine environments. However, <xref ref-type="bibr" rid="B90">Zhang et al. (2020)</xref> have found that astronomical forcing determined the development of a Paleogene coal-bearing succession, and deduced that climate was the controlling factor of these coal-bearing successions. Moreover, <xref ref-type="bibr" rid="B93">Zhang et al. (2021a)</xref> found that the coal of the Yan&#x2019;an Formation developed during time-spans of eccentricity minima in the 405-ka cycle (<xref ref-type="fig" rid="F10">Figure 10</xref>), whereas eccentricity maxima in these cycles are characterized by detrital sedimentation. During phases of large eccentricity, the differences between seasons are large, which, according to <xref ref-type="bibr" rid="B95">Zhang et al. (2021b)</xref>, would result in increased river discharge and sediment supply, even though this is not supported by actual data. Moreover, phases of limited eccentricity would, gain according to <xref ref-type="bibr" rid="B93">Zhang et al. (2021a)</xref>, result in limited seasonal differences and in a stable climate, much vegetation, and reduced sediment supply, whereas the maximum long eccentricity would commonly have been accompanied by a short phase of intensive rainfall and a perennial drought climate, with significant seasonal differences. The time-span of long eccentricity minima must, following <xref ref-type="bibr" rid="B95">Zhang et al. (2021b)</xref> usually have been warm and humid, with moderate seasonal variation, which favored vegetation growth and thus was suitable for peat accumulation. <xref ref-type="bibr" rid="B93">Zhang et al. (2021a)</xref> therefore consider it likely that the climate influenced the sequence development of the Yan&#x2019;an coal measures as well as the coal formation. Unfortunately, however, they do not pay attention to the process that must have created sufficient accommodation space for the entire coal-measures succession.</p>
</sec>
<sec id="s5-2-3">
<title>5.2.3 The controlling role of basin subsidence</title>
<p>Ever since astronomical factors have been found to affect sedimentation on Earth, numerous studies (<xref ref-type="bibr" rid="B3">Berger et al., 1992</xref>; <xref ref-type="bibr" rid="B58">Liu and Li, 2007</xref>; <xref ref-type="bibr" rid="B29">Fang et al., 2017</xref>; <xref ref-type="bibr" rid="B37">Huang et al., 2020</xref>; <xref ref-type="bibr" rid="B90">Zhang et al., 2020</xref>; <xref ref-type="bibr" rid="B95">Zhang et al., 2021b</xref>; <xref ref-type="bibr" rid="B38">Huang et al., 2021</xref>; <xref ref-type="bibr" rid="B97">Zhao et al., 2022</xref>) emphasize the role of astronomically-induced climate changes on the development of specific successions, including coal measures of different ages and in different parts of the world (<xref ref-type="bibr" rid="B15">Cecil et al., 1985</xref>; <xref ref-type="bibr" rid="B14">Cecil, 1990</xref>; <xref ref-type="bibr" rid="B31">Fielding and Webb, 1996</xref>; <xref ref-type="bibr" rid="B68">Miller and Eriksson, 1999</xref>; <xref ref-type="bibr" rid="B71">Pashin and Gastaldo, 2004</xref>; <xref ref-type="bibr" rid="B42">Izart et al., 2005</xref>; <xref ref-type="bibr" rid="B58">Liu and Li, 2007</xref>; <xref ref-type="bibr" rid="B28">Falahatkhah et al., 2021</xref>; <xref ref-type="bibr" rid="B89">Zainal Abidin et al., 2022</xref>). This is remarkable since another factor, <italic>viz.</italic>, basin subsidence, tends to be completely overlooked, even though the successions could not have developed without such subsidence. The Yan&#x2019;an Formation in the study area is some 170&#xa0;m thick, and the succession with the coals seams is some 130&#xa0;m thick. A geologically simple question is how such a lacustrine succession can develop, particularly if the occurrences of coal seams indicate that the entire succession was deposited at roughly the lake level. The answer is just as simple as the question: accommodation space must have been created that allowed sediment to accumulate, eventually reaching a total thickness of at least the succession with the coal seams. This, in turn, raises the simple question of how such an accommodation space can be created within in and along the marginal part of a huge lake. Also, this question has a simple answer: the accumulation of the sediments must have kept roughly pace with the local subsidence of the lake bottom.</p>
<p>This seems, however, not self-evident, as Chinese literature mentions that the Ordos Basin was (apart from some adjacent areas) tectonically quiet and stable during the Mesozoic (<xref ref-type="bibr" rid="B58">Liu and Li, 2007</xref>). This commonly accepted view has, unfortunately, led to the unjustified idea that no tectonic activity (such as subsidence) took place. This is the more remarkable since at least four tectonic phases influenced the evolution of the Ordos Basin, or at least the adjacent areas, during the Mesozoic, <italic>viz.</italic>, the Late Triassic Indosinian Orogeny, and the Yanshan I (Early Jurassic), Yanshan II (Late Jurassic) and Yanshan III (Early Cretaceous) phases of the Yanshan cycle.</p>
<p>In spite of the above considerations, it seems scientifically only appropriate to check whether other processes may have resulted in a succession of over 100&#xa0;m thick with several coal seams. It has been advocated (<xref ref-type="bibr" rid="B58">Liu and Li, 2007</xref>) that climate change must have been the main factor that controlled the development (see also <xref ref-type="sec" rid="s5-2-2">Section 5.2.2</xref>). The accumulation of clastic sediment with peat on top is then ascribed to a rising lake level under the influence of climate (high precipitation rate, much inflow of river water). This poses several problems, however: where did the precipitation and inflowing water come from? Considering the paleogeographic situation (almost), all this water must have been derived from evaporated water from the Ordos Lake, which implies that the influence on the lake level was negligible and certainly not enough to create an accommodation space for many meters of sediment. A second problem is that the inflow of huge amounts of water from another water source might, indeed, raise the lake level (though only in a very limited way) so that clastic sediments with peat on top could develop, but that a next lake-level drop (as reflected by the sequence stratigraphical characteristics) would have resulted in erosion of the subaerially exposed peat, so that no coal layer would be formed.</p>
<p>Particularly considering the fact that several coal seams are present in a succession of over a hundred meters thick, it must be deduced that the characteristics of the coal measures, in combination with their geological context, falsify the commonly adhered to hypothesis that climate was the main factor controlling the development of the coal measures. On the other hand, it can be deduced that the basin subsidence, which had taken place already for a long time considering the thicknesses of the Triassic formations in the basin, created the accommodation space in which the coal measures could develop. The subsidence, although quiet and continuous if considered over longer time-spans, may have taken place with small irregularities (steps), which might explain the alternating dry and wet conditions under which the plants grew: slow subsidence could easily result in gradually drier conditions because the sedimentation was faster than the subsidence; when quick subsidence occurred, for instance due to small-scale faulting in the subsoil, lowering of the sedimentary surface resulted in a relative rise of the lake level, and consequently in wetter conditions.</p>
<p>Obviously, basin subsidence and climate change can have acted simultaneously, without leaving traces that prove which process prevailed. It should be realized, however, that only subsidence of the lake bottom could create the conditions in which the Yan&#x2019;an Formation could develop, and under which successive coal seams could be formed.</p>
</sec>
</sec>
<sec id="s5-3">
<title>5.3 Coal-forming model</title>
<p>Many coal-forming models have been presented in the past decade (<xref ref-type="bibr" rid="B80">Wang et al., 2011</xref>; <xref ref-type="bibr" rid="B63">Lv et al., 2017</xref>; <xref ref-type="bibr" rid="B54">Li et al., 2018</xref>; <xref ref-type="bibr" rid="B62">Lv et al., 2019</xref>; <xref ref-type="bibr" rid="B52">Li et al., 2020</xref>; <xref ref-type="bibr" rid="B82">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B53">Li et al., 2021a</xref>; <xref ref-type="bibr" rid="B55">Li et al., 2021b</xref>). Most of these models focused on the depositional process, neglecting the role of climate and accommodation space. The model proposed here takes the role of the climate as a factor to control the sequence stratigraphy into account, as well as the role of subsidence as the main factor responsible for the creation of sufficient accommodation space (<xref ref-type="fig" rid="F11">Figure 11</xref>). The model explains the development of the investigated succession with its coal seams but is considered to be equally applicable to other coal measures formed under comparable conditions.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Model showing the development of the coal measures in the Yan&#x2019;an Formation in a fluvial and (lacustrine) deltaic environment, as a consequence of the simultaneous effects of eccentricity-influenced climate change and basin subsidence. Vs &#x3d; subsidence velocity, Vr &#x3d; lake-level rise</p>
</caption>
<graphic xlink:href="feart-10-1086298-g011.tif"/>
</fig>
<p>The climate prevailing during an LST was dry, with relatively little rainfall and a relatively low lake level (<xref ref-type="fig" rid="F11">Figure 11A</xref>). There were distinct seasonal differences. The subsidence velocity (Vs) was much higher than the velocity of the lake-level rise (Vr). Along the meandering river, which was the main depositional environment, some vegetations was present, but little of the peat that might be formed could be preserved because of erosion. Consequently, hardly any coal is present in sediments accumulated during an LST.</p>
<p>The beginning of an EST coincided, following Zhang et al. (2021), with a relatively low eccentricity of the orbit of the Earth, resulting in a climate that became wetter, with more rainfall and more vegetation. Simultaneously, a relative rise of the lake level (with velocity Vr) occurred as a result of subsidence of the lake bottom (with velocity Vs). Because Vs was more or less equal to Vr, extensive coal accumulation in the form of the 6-2z coal seam took place at the beginning of the EST (<xref ref-type="fig" rid="F11">Figure 11B</xref>). With increasing eccentricity, the climate was no longer suitable for plant development because of large seasonal differences that caused extensive erosion and sediment removal because Vs was lower than Vr (<xref ref-type="fig" rid="F11">Figure 11C</xref>). When the eccentricity started to decrease again, more and more plants started to develop. The AR/PPR ratio tended toward 1, and coal seams 6-1 and 4-1 developed in the middle and upper stages of the EST (<xref ref-type="fig" rid="F11">Figure 11D</xref>). Subsequently, the AR/PPR ratio rose to over 1 indicating that the climate became wetter; the peatland became covered by water due to the relative rise of the lake level under the influence of ongoing subsidence.</p>
<p>The climate changed again during the HST because of an increased eccentricity of the Earth&#x2019;s orbit (<xref ref-type="fig" rid="F11">Figure 11E</xref>), resulting in more erosion because the lake level fell and earlier deposited clastic sediments and peat became exposed and were partly eroded. During the stage of the relatively low eccentricity, the supply of clastics was limited (<xref ref-type="bibr" rid="B95">Zhang et al., 2021b</xref>). More and more wetlands were formed, resulting in extensive peat areas (the parent material of the 5-1, 3-1, and 2-2 coal seams) where the AR/PPR ratio changed toward (<xref ref-type="fig" rid="F11">Figure 11F</xref>). Increasingly more clastics became supplied by the meandering river, eventually the peats, so that their growth stopped, and the AR/PPR ratio became less than 1.</p>
<p>The coal-bearing cycles in the Yan&#x2019;an Formation show similar sedimentary characteristics (vertical changes in, depositional conditions, coal distribution, etc.) (<xref ref-type="bibr" rid="B80">Wang et al., 2011</xref>; <xref ref-type="bibr" rid="B41">Ielpi, 2012</xref>; <xref ref-type="bibr" rid="B62">Lv et al., 2019</xref>; <xref ref-type="bibr" rid="B95">Zhang et al., 2021b</xref>; <xref ref-type="bibr" rid="B81">Wang et al., 2022</xref>), but these characteristics were not yet well explained. The coal-forming model presented here, with the interaction between basin subsidence and climate changes (<xref ref-type="bibr" rid="B89">Zainal Abidin et al., 2022</xref>), which sometimes strengthened each other but sometimes reduced the joint effect, explains the lateral distribution and the vertical occurrences of the coal seams in a context of sequence stratigraphy that is at least partly determined by astronomical factors, in particularly the fluctuations in eccentricity of the Earth&#x2019;s orbit.</p>
<p>Consequently, the present study may help deepen the understanding of coal formation, but may equally have a practical significance regarding the exploitation of coals in lacustrine basins. Recycling and regeneration performance.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>
<list list-type="simple">
<list-item>
<p>(1) The coal-bearing succession of the Yan&#x2019;an Formation in the Ordos Basin comprises nine lithofacies, which can be grouped into two lithofacies associations (FA1 and FA2). FA1 was formed in and along a meandering river, whereas FA2 was formed on a lacustrine delta.</p>
</list-item>
<list-item>
<p>(2) Two sequences (S-1 and S-2) are present, bounded by three sequence boundaries (SB1, SB2 and SB3). Each sequence includes three system tracts (LST, EST, and HST). The successions formed during an LST consist of both FA1 and FA2. The EST successions consist of FA2. The successions formed during an HST consist mostly of FA2, but partly of FA1.</p>
</list-item>
<list-item>
<p>(3) The coal seams originated mostly during early stages of an EST or HST, in a delta plain environment. The coal seams 6-2z, 6-1, 5-1, 4-1, and 3-1 forming part of FA2 are thicker than coal seam 2-2 forming part of FA1 because of the longer time-span with sufficient accommodation space during the peat production. The TPI and GI indices in the coals of FA1 are relatively low (TPI l &#x3c; 2 and GI &#x3c; 1), whereas those of the coal in FA2 are relatively high (TPI &#x3e; 2 and GI &#x3e; 1). The variations of the macerals in the coal seams indicate that the climate controlled the dominant vegetation type and consequently the coal petrology.</p>
</list-item>
<list-item>
<p>(4) In contrast to previous studies, the present contribution shows that the development of coal measures cannot be ascribed exclusively to climate changes, but that basin subsidence must have created the required accommodation space. The (probably irregular but relatively small) basin subsidence interacted with climate change; the joint effect was sometimes relatively large, sometimes smaller, depending on the precise conditions that depended on the sequence stratigraphic development, which, in turn, was influenced by astronomical factors, in particularly the eccentricity of the Earth&#x2019;s orbit.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s12">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>LD, SY, and ZZ participated in the fieldwork, LD and ZZ drafted the manuscript. AL, MR, and SG prepared the final text and put the material in the context of the Mesozoic Ordos Basin. RZ and WY made the photographs and WD composed the tables. The interpretation of the field data and the conclusions were a result of input from all authors. All authors have read and approved the final manuscript.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This study was financially supported by the National Key R&#x26;D Plan of China (Grant no. 2022YFC2903402), the National Natural Science Foundation of China (Grants nos. 41772096 and 42102127), and the SDUST Research Fund (Grant no. 2018TDJH101).</p>
</sec>
<ack>
<p>We thank the editors and reviewers for giving us many constructive comments that significantly improved the paper.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<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>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12">
<title>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.2022.1086298/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2022.1086298/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.doc" id="SM1" mimetype="application/doc" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="DataSheet2.xlsx" id="SM2" mimetype="application/xlsx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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