Abstract: Turbulence and sediment problems are the basic topics of river dynamics,as well as the well-known hard-solved problems in hydroscience,for conventional linear mathematic methods have relatively more limitations in solving these non-linear problems.Fractal theory as one of the most important nonlinear science branches provides a new approach to study turbulence and sediment.Based on a large number of research materials at home and abroad,the application actuality of factal theory in turbulence and sediment studies is illustrated systematically and its application prospect is explored.

Key words: fractal theory, turbulence, sediment, application actuality

摘要： 紊流与泥沙问题是河流动力学的基本问题,也是水科学中的公认难题,传统的线性数学方法在解决这类强非线性问题时存在较大局限性。分形理论作为非线性科学的一个重要分支,为紊流和泥沙问题的研究提供了新的途径。基于国内外大量研究资料,系统论述了分形理论在紊流和泥沙问题中的应用现状,探讨了其应用前景。

关键词: 分形理论, 紊流, 泥沙, 应用现状