Extended Self-Similarity in Geophysical and Geological Applications

被引：0
作者：
Vladimir I. Nikora
Derek G. Goring
机构：
[1] National Institute of Water and Atmospheric Research (NIWA),
来源：
Mathematical Geology | 2001年 / 33卷
关键词：
self-similarity; scaling; intermittency; turbulence; sand waves; Martian surface;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we demonstrate application of the Extended Self-Similarity (ESS) concept, recently developed in turbulence physics, for geological and geophysical phenomena. The theoretical background is discussed first and then the ESS properties in fluvial turbulence, sand wave dynamics, Martian topography, river morphometry, gravel-bed mobility, and atmospheric barometric pressure are explored. The main attention is paid to fluvial turbulence and sand waves, while other examples are presented to support the generality of the ESS concept in earth sciences. The results show that the ESS properties of the considered phenomena are remarkably similar to those reported for turbulence, in spite of different underlying mechanisms. This suggests that a general rule should exist which governs a wide class of complex natural phenomena.
引用
收藏
页码：251 / 271
页数：20
相关论文
共 50 条
  • [11] Ciliberto S.(2000)Eddy convection velocity and Taylor's hypothesis of ‘frozen’ turbulence in a rough-bed open-channel flow J. HydroScience and Hydraulic Engineering, JSCE 18 75-91
  • [12] Baudet C.(2000)Sand waves in unidirectional flows: Scaling and intermittency Physics of Fluids, AIP 12 703-706
  • [13] Chavarria G. R.(2000)Flow turbulence over fixed and weakly mobile gravel beds J. Hydraulic Engineering, ASCE 126 679-690
  • [14] Tripiccione R.(1997)Statistical sand wave dynamics in one-directional water flows Journal of Fluid Mechanics 351 17-39
  • [15] Benzi R.(1997)Geometrical extended self-similarity and intermittency in diffusion-limited aggregates Physical Review Letters 78 4426-4429
  • [16] Ciliberto S.(1994)Universal scaling laws in fully developed turbulence Physical Review Letters 72 336-339
  • [17] Tripiccione R.(1998)Self-similarity properties of natural images resemble those of turbulent flows Physical Review Letters 80 1098-1101
  • [18] Baudet C.(1991)An identification of energy cascade in turbulence by orthonormal wavelet analysis Progress of Theoretical Physics 86 799-815
  • [19] Massaioli F.(undefined)undefined undefined undefined undefined-undefined
  • [20] Succi S.(undefined)undefined undefined undefined undefined-undefined
12345