Abstract
In this paper we demonstrate application of the Extended Self-Similarity (ESS) concept, recently developed in turbulence physics, for geological and geophysical phenomena. ne 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.
| Original language | English |
|---|---|
| Pages (from-to) | 251-271 |
| Number of pages | 20 |
| Journal | Mathematical Geology |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2001 |
Keywords
- self-similarity
- scaling
- intermittency
- turbulence
- sand waves
- Martian surface
- FULLY-DEVELOPED TURBULENCE
- SAND WAVES
- FLOWS
- INTERMITTENCY
- WATER
Cite this
Extended self-similarity (ESS) in geological and geophysical applications. / Nikora, Vladimir Ivanovich; Goring, D.
In: Mathematical Geology, Vol. 33, No. 3, 2001, p. 251-271.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Extended self-similarity (ESS) in geological and geophysical applications.
AU - Nikora, Vladimir Ivanovich
AU - Goring, D.
PY - 2001
Y1 - 2001
N2 - In this paper we demonstrate application of the Extended Self-Similarity (ESS) concept, recently developed in turbulence physics, for geological and geophysical phenomena. ne 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.
AB - In this paper we demonstrate application of the Extended Self-Similarity (ESS) concept, recently developed in turbulence physics, for geological and geophysical phenomena. ne 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.
KW - self-similarity
KW - scaling
KW - intermittency
KW - turbulence
KW - sand waves
KW - Martian surface
KW - FULLY-DEVELOPED TURBULENCE
KW - SAND WAVES
KW - FLOWS
KW - INTERMITTENCY
KW - WATER
U2 - 10.1023/A:1007630021716
DO - 10.1023/A:1007630021716
M3 - Article
VL - 33
SP - 251
EP - 271
JO - Mathematical Geology
JF - Mathematical Geology
SN - 0882-8121
IS - 3
ER -