分形理论在地貌学的应用研究进展与展望

Application and Progress of Fractal Theory in Geomorphology

分形理论是从研究不规则客观事物中孕育而生的,成为了复杂系统研究和非线性科学的重要组成部分,在各个学科均有广泛的运用。在地貌学研究中,分形理论的应用也取得了显著的成果;本文在搜集大量文献的基础上,从分形理论在地貌学的意义,分形理论在地貌学中的应用研究相关进展,分形计算方法,三个方面进行总结,并针对在应用现状提出建议与展望,建议在地貌研究过程中探讨研究尺度对分形维数的影响,在实践中将分形理论与小波分析等其它理论进行综合,以分形数值模拟模型的研究进行深入探讨,对多种地貌过程及其动力机制进行模型模拟。

Fractal theory is bred from the study of irregular objects, and has become an important part of complex system research and nonlinear science, and has been widely used in various disciplines. In the geomorphology research, the application of fractal theory has also made remarkable achievements; on the basis of collecting a large number of documents, this paper summarizes the significance of fractal theory in geomorphology, the related progress of the application of fractal theory in geomorphology, the fractal calculation method, and puts forward the construction in view of the shortcomings in the application. It is suggested that the influence of research scale on fractal dimension should be discussed in the process of geomorphological study. In practice, the fractal theory and other theories such as wavelet analysis should be integrated to study the fractal numerical simulation model and to simulate the various geomorphologic processes and their dynamic mechanisms.