Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary
Estuaries are areas where runoff and tide interact. Tidal waves propagate upstream from river mouths and produce tidal currents and tidal level variations along rivers. Based on the hydrological frequency analysis of river discharge in the dry season and flood season at the Datong hydrological stati...
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| Format: | Article |
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MDPI AG
2021-11-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/9/11/1291 |
| _version_ | 1797509811904970752 |
|---|---|
| author | Chengcheng Hou Jianrong Zhu Ju Huang Xinyue Cheng |
| author_facet | Chengcheng Hou Jianrong Zhu Ju Huang Xinyue Cheng |
| author_sort | Chengcheng Hou |
| collection | DOAJ |
| description | Estuaries are areas where runoff and tide interact. Tidal waves propagate upstream from river mouths and produce tidal currents and tidal level variations along rivers. Based on the hydrological frequency analysis of river discharge in the dry season and flood season at the Datong hydrological station over the past 70 years, a three-dimensional estuary numerical model was used to produce the quantitative relationships between the tidal current limit, tidal level limit and river discharge in the Changjiang River estuary. The positions of tidal current limit and tidal level limit depend not only on river discharge but also on river topography. When river discharge varies from a hydrological frequency of 95% to 5%, the relationship between the tidal current limit and river discharge is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mn>2</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><msup><mi>x</mi><mn>3</mn></msup><mrow><mo>+</mo><mn>3</mn><mo> </mo><mo>×</mo><mo> </mo></mrow><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mrow><mo> </mo><mn>0</mn></mrow><mrow><mo>.</mo><mn>0074</mn><mi>x</mi><mo>+</mo><mn>359</mn></mrow><mrow><mo>.</mo><mn>35</mn></mrow></mrow></semantics></math></inline-formula> in the flood season, with a variation range of 90 km, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mo>−</mo><mn>4</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>10</mn></mrow></msup><msup><mi>x</mi><mn>3</mn></msup><mo>−</mo><mrow><mn>1</mn><mo> </mo><mo>×</mo><mo> </mo></mrow><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>0</mn><mrow><mo>.</mo><mn>1937</mn><mi>x</mi><mo> </mo></mrow><mo>−</mo><mrow><mo> </mo><mn>1232</mn></mrow><mrow><mo>.</mo><mn>9</mn></mrow></mrow></semantics></math></inline-formula> in the dry season, with a variation range of 200 km. The relationship between the tidal level limit and river discharge is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mn>6</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>0</mn><mrow><mo>.</mo><mn>0096</mn><mi>x</mi><mo>+</mo><mn>775</mn></mrow><mrow><mo>.</mo><mn>94</mn></mrow></mrow></semantics></math></inline-formula> in the flood season, with a variation range of 127 km, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mn>0.3428</mn><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>17</mn><mrow><mo>.</mo><mn>9</mn><mi>x</mi><mo>+</mo><mn>777</mn></mrow><mrow><mo>.</mo><mn>55</mn></mrow></mrow></semantics></math></inline-formula> in the dry season, with a variation range of 83 km, which is located far upstream of the Datong hydrological station. |
| first_indexed | 2024-03-10T05:23:02Z |
| format | Article |
| id | doaj.art-d5f20568cacd45ceb060841730fdd43a |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-10T05:23:02Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-d5f20568cacd45ceb060841730fdd43a2023-11-22T23:54:34ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-11-01911129110.3390/jmse9111291Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River EstuaryChengcheng Hou0Jianrong Zhu1Ju Huang2Xinyue Cheng3Shanghai Branch of Jiangsu Taihu Planning and Design Institute of Water Resources Co., Ltd., Shanghai 200433, ChinaState Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200241, ChinaState Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200241, ChinaState Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200241, ChinaEstuaries are areas where runoff and tide interact. Tidal waves propagate upstream from river mouths and produce tidal currents and tidal level variations along rivers. Based on the hydrological frequency analysis of river discharge in the dry season and flood season at the Datong hydrological station over the past 70 years, a three-dimensional estuary numerical model was used to produce the quantitative relationships between the tidal current limit, tidal level limit and river discharge in the Changjiang River estuary. The positions of tidal current limit and tidal level limit depend not only on river discharge but also on river topography. When river discharge varies from a hydrological frequency of 95% to 5%, the relationship between the tidal current limit and river discharge is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mn>2</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup><msup><mi>x</mi><mn>3</mn></msup><mrow><mo>+</mo><mn>3</mn><mo> </mo><mo>×</mo><mo> </mo></mrow><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mrow><mo> </mo><mn>0</mn></mrow><mrow><mo>.</mo><mn>0074</mn><mi>x</mi><mo>+</mo><mn>359</mn></mrow><mrow><mo>.</mo><mn>35</mn></mrow></mrow></semantics></math></inline-formula> in the flood season, with a variation range of 90 km, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mo>−</mo><mn>4</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>10</mn></mrow></msup><msup><mi>x</mi><mn>3</mn></msup><mo>−</mo><mrow><mn>1</mn><mo> </mo><mo>×</mo><mo> </mo></mrow><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>0</mn><mrow><mo>.</mo><mn>1937</mn><mi>x</mi><mo> </mo></mrow><mo>−</mo><mrow><mo> </mo><mn>1232</mn></mrow><mrow><mo>.</mo><mn>9</mn></mrow></mrow></semantics></math></inline-formula> in the dry season, with a variation range of 200 km. The relationship between the tidal level limit and river discharge is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mn>6</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>0</mn><mrow><mo>.</mo><mn>0096</mn><mi>x</mi><mo>+</mo><mn>775</mn></mrow><mrow><mo>.</mo><mn>94</mn></mrow></mrow></semantics></math></inline-formula> in the flood season, with a variation range of 127 km, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><mo>=</mo><mn>0.3428</mn><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>17</mn><mrow><mo>.</mo><mn>9</mn><mi>x</mi><mo>+</mo><mn>777</mn></mrow><mrow><mo>.</mo><mn>55</mn></mrow></mrow></semantics></math></inline-formula> in the dry season, with a variation range of 83 km, which is located far upstream of the Datong hydrological station.https://www.mdpi.com/2077-1312/9/11/1291Changjiang River estuarytidal current limittidal level limitquantitative relationship |
| spellingShingle | Chengcheng Hou Jianrong Zhu Ju Huang Xinyue Cheng Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary Journal of Marine Science and Engineering Changjiang River estuary tidal current limit tidal level limit quantitative relationship |
| title | Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary |
| title_full | Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary |
| title_fullStr | Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary |
| title_full_unstemmed | Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary |
| title_short | Quantitative Relationships between the Tidal Current Limit, Tidal Level Limit and River Discharge in the Changjiang River Estuary |
| title_sort | quantitative relationships between the tidal current limit tidal level limit and river discharge in the changjiang river estuary |
| topic | Changjiang River estuary tidal current limit tidal level limit quantitative relationship |
| url | https://www.mdpi.com/2077-1312/9/11/1291 |
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