High-order structure functions for planet surfaces: a turbulence metaphor.

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Abstract

A theoretical framework for interpreting high-order structure functions of scale-invariant planet surfaces in a fashion similar to that for the high-Reynolds number turbulence is proposed. Following this approach, a relationship showing that the structure function scaling depends on the governing physical processes and the generalized fractal dimensions is derived. This relationship may be superimposed with the effects of discrete morphological structures (e.g., impact craters). Such a superposition may in principle significantly modify scaling exponents as sometimes can be seen in turbulence due to the effects of coherent structures. The proposed framework may help in identifying appropriate physical factors controlling surface formation at difference ranges of spatial scales as well as in testing various scaling models of the planet topography.

Original languageEnglish
Pages (from-to)362-365
Number of pages3
JournalIEEE Geoscience and Remote Sensing Letters (GRSL)
Volume2
Issue number3
DOIs
Publication statusPublished - 2005

Keywords

  • high-order statistics
  • multifractals
  • planet surface
  • scaling
  • turbulence
  • SELF-SIMILARITY
  • MARS TOPOGRAPHY
  • INTERMITTENCY
  • STATISTICS

Cite this

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title = "High-order structure functions for planet surfaces: a turbulence metaphor.",
abstract = "A theoretical framework for interpreting high-order structure functions of scale-invariant planet surfaces in a fashion similar to that for the high-Reynolds number turbulence is proposed. Following this approach, a relationship showing that the structure function scaling depends on the governing physical processes and the generalized fractal dimensions is derived. This relationship may be superimposed with the effects of discrete morphological structures (e.g., impact craters). Such a superposition may in principle significantly modify scaling exponents as sometimes can be seen in turbulence due to the effects of coherent structures. The proposed framework may help in identifying appropriate physical factors controlling surface formation at difference ranges of spatial scales as well as in testing various scaling models of the planet topography.",
keywords = "high-order statistics, multifractals, planet surface, scaling, turbulence, SELF-SIMILARITY, MARS TOPOGRAPHY, INTERMITTENCY, STATISTICS",
author = "Nikora, {Vladimir Ivanovich}",
year = "2005",
doi = "10.1109/LGRS.2005.851553",
language = "English",
volume = "2",
pages = "362--365",
journal = "IEEE Geoscience and Remote Sensing Letters (GRSL)",
issn = "1545-598X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "3",

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TY - JOUR

T1 - High-order structure functions for planet surfaces: a turbulence metaphor.

AU - Nikora, Vladimir Ivanovich

PY - 2005

Y1 - 2005

N2 - A theoretical framework for interpreting high-order structure functions of scale-invariant planet surfaces in a fashion similar to that for the high-Reynolds number turbulence is proposed. Following this approach, a relationship showing that the structure function scaling depends on the governing physical processes and the generalized fractal dimensions is derived. This relationship may be superimposed with the effects of discrete morphological structures (e.g., impact craters). Such a superposition may in principle significantly modify scaling exponents as sometimes can be seen in turbulence due to the effects of coherent structures. The proposed framework may help in identifying appropriate physical factors controlling surface formation at difference ranges of spatial scales as well as in testing various scaling models of the planet topography.

AB - A theoretical framework for interpreting high-order structure functions of scale-invariant planet surfaces in a fashion similar to that for the high-Reynolds number turbulence is proposed. Following this approach, a relationship showing that the structure function scaling depends on the governing physical processes and the generalized fractal dimensions is derived. This relationship may be superimposed with the effects of discrete morphological structures (e.g., impact craters). Such a superposition may in principle significantly modify scaling exponents as sometimes can be seen in turbulence due to the effects of coherent structures. The proposed framework may help in identifying appropriate physical factors controlling surface formation at difference ranges of spatial scales as well as in testing various scaling models of the planet topography.

KW - high-order statistics

KW - multifractals

KW - planet surface

KW - scaling

KW - turbulence

KW - SELF-SIMILARITY

KW - MARS TOPOGRAPHY

KW - INTERMITTENCY

KW - STATISTICS

U2 - 10.1109/LGRS.2005.851553

DO - 10.1109/LGRS.2005.851553

M3 - Article

VL - 2

SP - 362

EP - 365

JO - IEEE Geoscience and Remote Sensing Letters (GRSL)

JF - IEEE Geoscience and Remote Sensing Letters (GRSL)

SN - 1545-598X

IS - 3

ER -