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Scaling analyses of high-resolution dye tracer experiments

Persson, Magnus LU and Olsson, Jonas (2008) In Hydrological Sciences Journal 53(6). p.1286-1299
Abstract
Four unsaturated solute transport experiments with different water fluxes were conducted in a Hele-Shaw cell filled with uniform sand. The transport of the dye tracer used was recorded with a camera and the dye concentration was calculated using image analysis. The concentrations fields were analysed in terms of time moments and converted into vertical solute transport velocity V. Both mean value and standard deviation of V increased with water flux. The autocorrelation function exhibited a linear decrease for short lags. The pronounced variability of V suggested a description in terms of scaling properties, and a scaling regime was indeed found from the resolution 1.8 mm up to almost 0.1 m. The upper limit corresponds roughly to a... (More)
Four unsaturated solute transport experiments with different water fluxes were conducted in a Hele-Shaw cell filled with uniform sand. The transport of the dye tracer used was recorded with a camera and the dye concentration was calculated using image analysis. The concentrations fields were analysed in terms of time moments and converted into vertical solute transport velocity V. Both mean value and standard deviation of V increased with water flux. The autocorrelation function exhibited a linear decrease for short lags. The pronounced variability of V suggested a description in terms of scaling properties, and a scaling regime was indeed found from the resolution 1.8 mm up to almost 0.1 m. The upper limit corresponds roughly to a characteristic scale of fingering structures seen in the dye concentration images. Indications of a second scaling regime at larger scales were found. In the small-scale scaling regime, the power spectrum exponent beta was generally slightly below 1 and the intermittency parameter C-1 was on average 0.00025. The moment scaling K-q functions were convex, implying a multiscaling process. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
scaling analysis, solute transport, dye tracer, power spectrum
in
Hydrological Sciences Journal
volume
53
issue
6
pages
1286 - 1299
publisher
IAHS Press
external identifiers
  • wos:000263246500014
  • scopus:57049119054
ISSN
0262-6667
language
English
LU publication?
yes
id
29c0acae-abd7-4075-97b5-3633ac7e9d3b (old id 1375610)
date added to LUP
2009-05-08 16:34:58
date last changed
2017-01-01 06:20:45
@article{29c0acae-abd7-4075-97b5-3633ac7e9d3b,
  abstract     = {Four unsaturated solute transport experiments with different water fluxes were conducted in a Hele-Shaw cell filled with uniform sand. The transport of the dye tracer used was recorded with a camera and the dye concentration was calculated using image analysis. The concentrations fields were analysed in terms of time moments and converted into vertical solute transport velocity V. Both mean value and standard deviation of V increased with water flux. The autocorrelation function exhibited a linear decrease for short lags. The pronounced variability of V suggested a description in terms of scaling properties, and a scaling regime was indeed found from the resolution 1.8 mm up to almost 0.1 m. The upper limit corresponds roughly to a characteristic scale of fingering structures seen in the dye concentration images. Indications of a second scaling regime at larger scales were found. In the small-scale scaling regime, the power spectrum exponent beta was generally slightly below 1 and the intermittency parameter C-1 was on average 0.00025. The moment scaling K-q functions were convex, implying a multiscaling process.},
  author       = {Persson, Magnus and Olsson, Jonas},
  issn         = {0262-6667},
  keyword      = {scaling analysis,solute transport,dye tracer,power spectrum},
  language     = {eng},
  number       = {6},
  pages        = {1286--1299},
  publisher    = {IAHS Press},
  series       = {Hydrological Sciences Journal},
  title        = {Scaling analyses of high-resolution dye tracer experiments},
  volume       = {53},
  year         = {2008},
}