<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">GEP</journal-id><journal-title-group><journal-title>Journal of Geoscience and Environment Protection</journal-title></journal-title-group><issn pub-type="epub">2327-4336</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/gep.2019.75002</article-id><article-id pub-id-type="publisher-id">GEP-92440</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  Yang’s Dynamic Vertical Balance Process for the Content of Cd in a Marine Bay
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Dongfang</surname><given-names>Yang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sivakumar</surname><given-names>Manickam</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Danfeng</surname><given-names>Yang</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sixi</surname><given-names>Zhu</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ming</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>College of Chemistry and Environmental Science, Guizhou Minzu University, Guiyang, China</addr-line></aff><aff id="aff3"><addr-line>The Fu Foundation School of Engineering and Applied Science, Columbia University, New York City, New York, USA</addr-line></aff><aff id="aff2"><addr-line>Department of Chemical and Environmental Engineering, Faculty of Science and Engineering, University 
of Nottingham Malaysia, Kuala Lumpur, Malaysia</addr-line></aff><pub-date pub-type="epub"><day>17</day><month>05</month><year>2019</year></pub-date><volume>07</volume><issue>05</issue><fpage>16</fpage><lpage>25</lpage><history><date date-type="received"><day>4,</day>	<month>March</month>	<year>2019</year></date><date date-type="rev-recd"><day>14,</day>	<month>May</month>	<year>2019</year>	</date><date date-type="accepted"><day>17,</day>	<month>May</month>	<year>2019</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  
    This study analyzes the horizontal and vertical migration processes of Cd contents based on the investigations conducted during May and August 1990. It reveals the dynamic balance process of Cd substance in a marine bay and shows that in the waters close to the source input, the content of Cd in the surface waters is the highest, and also the vertical dilution amount is the highest. This is the beginning of the dynamic vertical balance process. Along with distance from the source input, the sedimentation is an ongoing process, which results in a decrease in the content of Cd in the surface waters, and a reduction in the vertical dilution amount. This process continues to the balance point. In waters far away from the source input, the content of Cd is homogeneous in the waters, and the vertical dilution amount decreases to the lowest value, i.e., the balance point. Furthermore, a block diagram has been provided to demonstrate the dynamic vertical balance process. 
  
 
</p></abstract><kwd-group><kwd>Cadmium</kwd><kwd> Balance</kwd><kwd> Dynamic</kwd><kwd> Process</kwd><kwd> Jiaozhou Bay</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>With the rapid development of industries, many different discharges from the industries lead to massive pollution to the environment, especially the discharges of Cd, Pb, Cr into the soil and waters (Chen et al., 2014; Jin et al., 2013). The heavy metals Cd and Cr, and its compounds are commonly applied in the industries for electroplating, dyeing, leather making and coatings (Xu et al., 2002), and thus after the production process, a large amount of wastewaters containing Cd and Cr is generated. Since the pollutants in the wastewaters could not be decomposed by themselves, they concentrate in the living bodies in the waters and soils, destroy the structure of the living things and threaten the human health by the food chain (Cheng, 2012). For example, Cd as a heavy metal enters plants and accumulates enough to cause poisoning (Shaan et al., 2009). The pollution of Cd results in breaking the structures of the cells, inhibiting the photosynthesis, weakening the uptake of water and nutrients in the vegetables such as pepper, cucumber, cauliflower, tomato, cabbage, rape, etc. (Li et al., 2005; Peng et al., 2006; Tang et al., 2008; Meral &amp; Gomez, 1994). Also, Cd and Cr have dangerous health effects such as teratogenic, mutagenic, and carcinogenic diseases (Zhong et al., 2012; Wang et al., 2013).</p><p>Artificial wetland simulates the natural wetland systems using the interaction among different animals, plants, microorganisms, and inorganic environment to load some pollutants, by the functions of physical uptake, filtration, and settlement, and chemical oxidation, decomposition, and biodegradation resulting in the purification of wastewater (Liu et al., 2012). Compared with the natural wetland system, the artificial wetland has the positive function of purifying the wastewater (Zhu et al., 2010), such that under the threat of Cr different plants show different characteristics of physiology and biochemistry and the growth response (Zhu et al., 2014a, 2014b, 2014c; Zhao et al., 2017), and Cd concentrates in the plants (Zhang &amp; Chen, 2013). Therefore, these methods provide the scientific grounds for the renovation of plants for Cr and Cd pollution.</p><p>Along with rapid economic growth and industrial development, a large amount of generated wastes are discharged to the environment (Yang et al., 2010a, 2010b, 2010c, 2013, 2014a, 2014b). The ocean is a sink as various pollutants are discharged to the ocean via many different paths such as river discharges, atmospheric deposition, marine traffic, etc. (Yang et al., 2014c, 2015a, 2015b, 2015c). These pollutants move through the water body and finally reach to the bottom of the sea through the effect of water (Yang et al., 2015d, 2016a, 2016b, 2016c, 2016d). Understanding the migration process of substances in the marine bay is essential to environmental protection and remediation. Jiaozhou Bay is a semi-closed bay located in Shandong Province, China. This bay is surrounded by the cities of Qingdao, Jiaozhou and Jiaonan. The industrial developments and hence the economy is rapidly growing since the 1980s which intensified the environmental pollution problems, but yet efficient waste treatment processes are lacking (Yang et al., 2016e, 2016f, 2016g, 2016h, 2016i, 2016j, 2017a, 2017b, 2017c, 2017d, 2017e). Cd is widely used in various industries, yet Cd is highly toxic, and its existence in excess in the environment could result in health risks (Yang et al., 2017f, 2017g, 2017h, 2017i, 2017j, 2018). On this context, investigations were attempted on Cd in May and August 1990, to analyze the horizontal and vertical migration processes of Cd, to reveal the dynamic balance process. Overall, this study provides a scientific basis on the migration process of pollutants in a marine bay.</p></sec><sec id="s2"><title>2. Materials and Methods</title><p>Study area: Jiaozhou Bay (120˚04' - 120˚23'E, 35˚55' - 36˚18'N) is located in the south of Shandong Province, eastern China (<xref ref-type="fig" rid="fig1">Figure 1</xref>). It is a semi-closed bay with the total area, average water depth and bay mouth width of 446 km<sup>2</sup>, 7 m, and 3 km, respectively. There are more than ten inflow rivers such as Haibo River, Licun River and Loushan River (Yang et al., 2005, 2014).</p><p>Data source: The data were provided by the North China Sea Environmental Monitoring Center. The investigations were conducted in May and August 1990. Surface and bottom water samples from 2 sampling sites (i.e., 55 and 60) were collected and measured by following the standards of National Specification for Marine Monitoring (<xref ref-type="fig" rid="fig1">Figure 1</xref>) (China’s State Oceanic Administration, 1991).</p><p>Modeling for horizontal loss: The contents of the substances in the marine bay waters change continuously owing to an exchange between open and internal waters in the bay (Yang et al., 2016d, 2016e, 2016f, 2016g). Site 55 is located in the bay center, while Site 66 is located in the bay mouth. It is considered that the contents of the substances in the surface and bottom waters in the bay center and the bay mouth are, A and a, and B and b, respectively.</p><p>In the surface waters, and from the bay center to the bay mouth, the migration process is calculated using the following Equation (1).</p><p>D = (A − B), E = (100 &#215;|A - B|/max(A, B))% (1)</p><p>where D is the horizontal absolute loss amount in surface waters, and E is the horizontal relative loss amount.</p><p>In the bottom waters, and from the bay center to the bay mouth, the migration process is calculated using the following Equation (2).</p><p>d = (a − b), e = (100 &#215;|a - b|/max(a, b))% (2)</p><p>where d is the horizontal absolute loss amount in the surface waters, and e is the horizontal relative loss amount.</p><p>Modeling for vertical loss: It is assumed that the contents of the substances in the surface and bottom waters in a specific sampling site (e.g., Site 55 in the bay center) are A and a, respectively. From the surface waters to bottom waters, the migration process is calculated using the following Equation (3).</p><p>V<sub>na</sub> = (A − a), V<sub>nr</sub> = (100 &#215;|A - a|/max(A, a))% (3)</p><p>where V<sub>na</sub> is the horizontal absolute dilution amount from the surface waters to bottom waters, V<sub>nr</sub> is the horizontal relative dilution amount. While from the bottom waters to surface waters, V<sub>na</sub> refers to the horizontal absolute accumulation amount, and V<sub>nr</sub> refers to the horizontal relative accumulation amount.</p></sec><sec id="s3"><title>3. Results</title><p>Horizontal change: The horizontal migration process of Cd in the surface waters in Jiaozhou Bay was calculated based on Cd contents in Site 55 in the bay center and Site 66 in the bay mouth. The horizontal migration process of Cd in</p><p>the bottom waters in Jiaozhou Bay was calculated according to Cd contents in Site 55 in the bay center and Site 66 in the inner side of the bay mouth. The horizontal losses of Cd in the surface and bottom waters have been calculated as shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>Vertical change: The vertical migration process of Cd in the waters in Jiaozhou Bay was calculated according to Cd contents in Site 55 in the bay center and Site 66 in the bay mouth. The horizontal losses of Cd have been calculated as shown in <xref ref-type="table" rid="table2">Table 2</xref>.</p></sec><sec id="s4"><title>4. Discussion</title><p>Vertical and horizontal losses: The vertical and horizontal losses during the migration process of substances in the marine bay were determined by the source input and vertical and horizontal effect of water (Yang et al., 2017d, 2017e, 2017f) The primary source of Cd in May 1990 was marine traffic (i.e., the wharf in the north of bay mouth) whose source strength was relatively weak (1.02 μg∙L<sup>−1</sup>). In May 1990, from the bay mouth to the bay center the horizontal loss in the surface waters was 65.68%, while from the bay center to the bay mouth the horizontal loss in the bottom waters was 68.57% (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Once Cd moved across the bay waters, irrespective of whether it is from the bay mouth to the bay center or from the bay center to the bay mouth, the amount of horizontal loss in May 1990 was relatively high (65.68% to 68.57%). In May 1990, for vertical changes, both the vertical dilution and accumulation amounts in the bay center were 0%, while in the bay mouth there was a vertical dilution process and</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Horizontal losses of Cd from Site 55 to Site 66 in Jiaozhou Bay</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Month</th><th align="center" valign="middle"  colspan="2"  >Surface waters</th><th align="center" valign="middle"  colspan="2"  >Bottom waters</th></tr></thead><tr><td align="center" valign="middle" >D/μg∙L<sup>−1</sup></td><td align="center" valign="middle" >E/%</td><td align="center" valign="middle" >d/μg∙L<sup>−1</sup></td><td align="center" valign="middle" >e/%</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >−0.67</td><td align="center" valign="middle" >65.68</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >68.57</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >1.04</td><td align="center" valign="middle" >82.53</td><td align="center" valign="middle" >0.30</td><td align="center" valign="middle" >62.50</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Vertical losses of Cd from Site 55 to Site 66 in Jiaozhou Bay</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Month</th><th align="center" valign="middle" >Site</th><th align="center" valign="middle" >V<sub>na</sub>/μg∙L<sup>−1</sup></th><th align="center" valign="middle" >V<sub>nr</sub>/%</th></tr></thead><tr><td align="center" valign="middle"  rowspan="2"  >May</td><td align="center" valign="middle" >55</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.00</td></tr><tr><td align="center" valign="middle" >66</td><td align="center" valign="middle" >0.91</td><td align="center" valign="middle" >89.21</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >August</td><td align="center" valign="middle" >55</td><td align="center" valign="middle" >0.78</td><td align="center" valign="middle" >61.90</td></tr><tr><td align="center" valign="middle" >66</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >18.18</td></tr></tbody></table></table-wrap><p>its vertical dilution amount was 89.21% (<xref ref-type="fig" rid="fig2">Figure 2</xref>). This demonstrates that there was rapid sedimentation in the north of the bay mouth where marine traffic was the significant source input (i.e., the wharf), while in the bay center which was far away from the source input there was little sedimentation.</p><p>The primary source of Cd in August 1990 was atmospheric deposition whose source strength was relatively strong (1.26 μg∙L<sup>−1</sup>). In August 1990, from the bay mouth to the bay center the horizontal loss in the surface waters was 82.53%, compared to 62.50% in the bottom waters (<xref ref-type="fig" rid="fig3">Figure 3</xref>). Once Cd moved across the bay waters from the bay center to the bay mouth, the amounts of horizontal loss in August 1990 were relatively high (62.50% to 82.53%). In May 1990, for vertical changes, both the vertical dilution and accumulation amounts in the bay center were 0%, while in the bay mouth there was a vertical dilution process whose vertical dilution amount was 89.21% (<xref ref-type="fig" rid="fig2">Figure 2</xref>). This indicates that there was rapid sedimentation in the north of the bay mouth where marine traffic was the significant source input (i.e., the wharf), while in the bay center which was far away from the source input there was little sedimentation.</p><p>Dynamic vertical balance: The vertical and horizontal losses during the migration process of substances in the marine bay were determined by source input and vertical and horizontal effect of water (Yang et al., 2017d, 2017e, 2017f). It could be concluded that once substances move across the bay waters, irrespective of whether they are from the bay mouth to the bay center or from the bay center to the bay mouth, the amounts of horizontal loss in different seasons were relatively high. For vertical changes, there was rapid sedimentation in the waters that were close to the major source input, while in the bay mouth that was far away from the source input there was little sedimentation.</p><p>The above phenomenon exhibits the dynamic vertical balance of substances in the marine bay. In waters that were close to the source input, the content of substances in the surface waters is the highest, and the vertical dilution amount is also the highest. This shows the beginning of the dynamic vertical balance process. Along with distance from the source input, the sedimentation is ongoing which results in a decrease in the content of substances in the surface waters, and a decrease in the vertical dilution amount. This process continues to the balance point. In waters far away from the source input, the content of substances is homogeneous in the waters, and the vertical dilution amount decreases to the lowest value, i.e., to the balance point. This dynamic vertical balance process has been demonstrated as shown in the block diagram (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p></sec><sec id="s5"><title>5. Conclusion</title><p>The horizontal and vertical migration processes of Cd contents were analyzed, and the dynamic balance process was revealed. At the starting point, in the waters close to the source input, the content of substances in the surface waters was the highest, and the vertical dilution amount is also the highest. In the case of balancing process, along with the distance from the source input, the sedimentation is an ongoing process which results into a decrease in the content of substances in the surface waters, and a decrease in the vertical dilution amount. Whereas at the end point, in the waters far away from the source input, the content of substances is homogeneous in the waters, and the vertical dilution</p><p>amount decreased to the lowest value, i.e., to the balance point. Finally, this dynamic vertical balance process has been demonstrated using a block diagram.</p></sec><sec id="s6"><title>Acknowledgements</title><p>This research was sponsored by Doctoral Degree Construction Library of Guizhou Nationalities University, Research Projects of Guizhou Nationalities University ([<xref ref-type="bibr" rid="scirp.92440-ref2014">2014</xref>]02), Research Projects of Guizhou Province Ministry of Education (KY [<xref ref-type="bibr" rid="scirp.92440-ref2014">2014</xref>] 266) and Research Projects of Guizhou Province Ministry of Science and Technology (LH [<xref ref-type="bibr" rid="scirp.92440-ref2014">2014</xref>] 7376).</p></sec><sec id="s7"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s8"><title>Cite this paper</title><p>Yang, D. F., Manickam, S., Yang, D. F., Zhu, S. X., &amp; Wang, M. (2019). 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