流域地貌的分形研究

doi:10.11867/j.issn.1001-8166.1993.05.0063

地球科学进展 ›› 1993, Vol. 8 ›› Issue (5): 63 -70. doi: 10.11867/j.issn.1001-8166.1993.05.0063

流域地貌的分形研究

高鹏 ¹;李后强 ²;艾南山 ²

1.兰州大学地理系,730000;2.四川大学物理系,610064

收稿日期:1993-01-11 修回日期:1993-02-26 出版日期:1993-09-01
基金资助:
国家自然科学基金资助项目“地貌系统演化的非线性动力学研究”(批准号 49271000)预研成果

THE FRACTAL STUDY OF THE DRAINAGE GEOMORPHOLOGY

Gao Peng ¹,Li Houqiang ², Ai Nanshan ²

1.Geography Department of Lanzhou University. Lanzhou 730000;2.Physics Department of Sichuan University, Chengdu 610064

Received:1993-01-11 Revised:1993-02-26 Online:1993-09-01 Published:1993-09-01

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非线性科学中的分形理论已广泛应用于各个学科。在地貌学研究中,数学—物理方法首先被引入到流域地貌的形成、演化的研究中。分形理论的运用则突破了传统方法的局限,开辟了一条新思路。尽管其运用在流域地貌中才刚刚开始,但人们已感觉到它强大的生命力。本文分析了流域地貌的分形特征,着重介绍了目前国内外已建的各种模型及其最新进展。

关键词: 分形理论, 分维, 流域地貌, 水系

The fractal theory, which is one of the nonlinar sciences, has been applied to many kinds of fields. In the field of Geomorphology , mathematical methods are first poured into drainage geomorphology for the study of its forming and evolving. The utilization of fractal theory ,however ,breaks up the limit of these traditional means and creats a new way. Although.it is a beginning to apply it in the drainage geomorphology, its strong vitality has been displayed. This article analyses the fractal characters of the drainage geomorphology and intensingly introduces all kinds of fractal models in the drainage geomorphology all over the world and its latest development.

Key words: fractal theory, fractal dimension, drainage geomorphology, water network

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