摘要
在对长江重庆主城段河流水系分形几何特征研究基础上,通过建立的河流分形模型,计算了长江重庆主城段河流长度的整体分维,并将河流分成6个河段,计算了各河段的局部分维,探讨了该河流长度的整体分维和局部分维之间的一定关系:1)长江重庆主城段河流长度整体分维与局部分维都具有很好的二阶分维特性;2)长江重庆主城段各河段左右两岸各局部分维之间,局部分维与整体分维之间的数理关系满足分形地貌中的合并原理;3)河流长度的算术平均值并不等于整体分维值.
On the basis of the characteristics of river fractal geometry of the Yangtze River in Chongqing city section, the over＇all fractal dimensions of river length are calculated. Then the river is divided into six reaches, the partial fractal dimensions of each reach are established by the fractal model, and the relationship between the overall fractal dimensions and partial dimensions is discussed. And the results show as follows. 1 ） The overall fractal dimensions and partial dimensions have a very good second-order fractal dimension phenomenon. 2） The mathematical relationship between the overall fractal dimensions and partial dimensions and between the left and right banks of partial dimensions of the Yangtze River in Chongqing city section satisfy the unite principle of fractal landscapes. 3） The arithmetic mean values of partial fractal dimensions are not equal to the values of overall fractal dimension.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第1期147-151,共5页
Journal of Sichuan Normal University（Natural Science）
基金
重庆市教委科技基金(KJ111501
KJ110409)
省部共建水利水运工程教育部重点实验室及国家内河航道整治工程技术研究中心开放基金(SLK2012A02)资助项目
关键词
整体分维
局部分维
长江重庆段
overall fractal dimension
partial fractal dimension
Chongqing city of Yangtze River
