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［33］ 王军，汪涛，李淑祎，等 . 桥墩影响下弯槽冰塞形成临界条件和冰厚变化的试验研究［J］. 水利学报，
2017，48（5）：588-593 .
［34］ 郜国明，邓宇，田治宗，等 . 黄河冰凌近期研究简述与展望［J］. 人民黄河，2019，41（10）：77-81，108 .
［35］ 王静新 . 东江干流的来水、来沙变化趋势及其非线性分形特征［J］. 科技资讯，2011（24）：23，25 .
［36］ 倪志辉，周舟，吴立春，等 . 向家坝下长江干流长河段河道横剖面分形特征［J］. 水利水电科技进展，
2017，37（1）：60-67 .

Research on characteristics of river regime evolution and its relationship with ice flood
disasters in Inner Mongolia Reach of the Yellow River （IMYR） based on fractal theory

1，2 1，2 3 1，2 4 1，2
TIAN Fuchang ，YUAN Ximin ，HE Lixin ，WANG Xiujie ，WANG Lina ，YUE Zhichun
（1. State Key Laboratory of Hydraulic Engineering Simulation and Safety，Tianjin University，Tianjin 300072，China；
2. School of Civil Engineering，Tianjin University，Tianjin 300072，China；
3. School of Water Conservancy and Hydroelectric power， Hebei University of Engineering，Handan 075000，China；
4. Wisdom Water Branch of North China Municipal Engineering Design & Research Institute co.，LTD.，Tianjin 300074，China）

Abstract：It is of great importance to quantitatively evaluate the "bend effect" of river regime for ice flood
disasters in cold region. Based on the fractal theory， computing method and physical mechanism for the
fractal dimension of river cross section，longitudinal section and plane are studied. Then the characteristics
of river regime evolution and its relationship with ice flood disasters in Inner Mongolia Reach of the Yellow
River （IMYR） are researched based on fractal theory. The results show that river regime of different dimen⁃
sions in IMYR have multi-scale self-similar fractal characteristics，and have long range correlation of multi-
year memory cycle. There is a positive exponential function between the occurrence frequency of ice dam
（severe ice jam） and the fractal dimension of main channel bending，and the occurrence frequency of ice
dam is negatively correlated with fractal dimensions of river facies coefficient，depth point elevation and av⁃
erage bottom slope，and it is positively correlated with the fractal dimension of water depth - crossing ar⁃
ea. The ice dam disasters are more likely to occur in the wide and shallow curved river channels with
large main channel drift，winding and high development degree of river bay. The research results can pro⁃
vide important theoretical basis for the diagnosis and prediction of the ice jam and ice dam disaster-prone
reach in ice flood season.
Keywords：fractal theory；river regime evolution；ice flood disasters；bend effect；ice jam and ice dam；
Inner Mongolia Reach of the Yellow River （IMYR）

（责任编辑：李福田）

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