The Fractal Dimension of River Length Based on the Observed Data
Although the phenomenon that strictly meets the constant dimension fractal form in the nature does not exist, fractal theory provides a new way and means for the study of complex natural phenomena. Therefore, we use some variable dimension fractal analysis methods to study river flow discharge. On t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/327297 |
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| author | Ni Zhihui Wu Lichun Wang Ming-hui Yi Jing Zeng Qiang |
| author_facet | Ni Zhihui Wu Lichun Wang Ming-hui Yi Jing Zeng Qiang |
| author_sort | Ni Zhihui |
| collection | DOAJ |
| description | Although the phenomenon that strictly meets the constant dimension fractal form in the nature does not exist, fractal theory provides a new way and means for the study of complex natural phenomena. Therefore, we use some variable dimension fractal analysis methods to study river flow discharge. On the basis of the flood flow corresponding to the waterline length, the river of the overall and partial dimensions are calculated and the relationships between the overall and partial dimensions are discussed. The law of the length in section of Chongqing city of Yangtze River is calibrated by using of variable fractal dimension. The results conclude that it does express a second-order accumulated variable-dimensional fractal phenomenon, and the dimension can reflect the degree of the river; the greater dimension, the more the river bend. It has different dimensions at a different location in the same river. In the same river, the larger dimension, the worse flow discharge capacity of the river and the more obvious of the flood will be on the performance. |
| format | Article |
| id | doaj-art-4c9ee762bcbc416dbca9431f3fae3814 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4c9ee762bcbc416dbca9431f3fae38142025-02-03T06:45:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/327297327297The Fractal Dimension of River Length Based on the Observed DataNi Zhihui0Wu Lichun1Wang Ming-hui2Yi Jing3Zeng Qiang4Key Laboratory of Hydraulic and Waterway Engineering, The Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, ChinaChongqing Education College, Chongqing 400067, ChinaKey Laboratory of Hydraulic and Waterway Engineering, The Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, ChinaKey Laboratory of Hydraulic and Waterway Engineering, The Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, ChinaKey Laboratory of Hydraulic and Waterway Engineering, The Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, ChinaAlthough the phenomenon that strictly meets the constant dimension fractal form in the nature does not exist, fractal theory provides a new way and means for the study of complex natural phenomena. Therefore, we use some variable dimension fractal analysis methods to study river flow discharge. On the basis of the flood flow corresponding to the waterline length, the river of the overall and partial dimensions are calculated and the relationships between the overall and partial dimensions are discussed. The law of the length in section of Chongqing city of Yangtze River is calibrated by using of variable fractal dimension. The results conclude that it does express a second-order accumulated variable-dimensional fractal phenomenon, and the dimension can reflect the degree of the river; the greater dimension, the more the river bend. It has different dimensions at a different location in the same river. In the same river, the larger dimension, the worse flow discharge capacity of the river and the more obvious of the flood will be on the performance.http://dx.doi.org/10.1155/2013/327297 |
| spellingShingle | Ni Zhihui Wu Lichun Wang Ming-hui Yi Jing Zeng Qiang The Fractal Dimension of River Length Based on the Observed Data Journal of Applied Mathematics |
| title | The Fractal Dimension of River Length Based on the Observed Data |
| title_full | The Fractal Dimension of River Length Based on the Observed Data |
| title_fullStr | The Fractal Dimension of River Length Based on the Observed Data |
| title_full_unstemmed | The Fractal Dimension of River Length Based on the Observed Data |
| title_short | The Fractal Dimension of River Length Based on the Observed Data |
| title_sort | fractal dimension of river length based on the observed data |
| url | http://dx.doi.org/10.1155/2013/327297 |
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