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Multiscaling analysis and random cascade modeling of dye infiltration

Olsson, J ; Persson, Magnus LU ; Albergel, J ; Berndtsson, Ronny LU orcid ; Zante, P ; Öhrström, Pernilla LU and Nasri, S (2002) In Water Resources Research 38(11).
Abstract
[1] We aimed at investigating whether the spatial variability of infiltration in field soils, as visualized through dye infiltration experiments, is characterized by a multiscaling behavior. Digitized high-resolution dye images from three sites in an experimental catchment in Tunisia were analyzed using three indicators of scaling: empirical probability distribution functions, power spectra, and raw statistical moments. The two former indicators suggested a general scaling behavior of the data, which through the moments' analysis was found to be of multiscaling type. Random cascade processes are frequently used to model multiscaling processes, and we fitted the "universal multifractal'' (UM) model of Schertzer and Lovejoy [1987] to our... (More)
[1] We aimed at investigating whether the spatial variability of infiltration in field soils, as visualized through dye infiltration experiments, is characterized by a multiscaling behavior. Digitized high-resolution dye images from three sites in an experimental catchment in Tunisia were analyzed using three indicators of scaling: empirical probability distribution functions, power spectra, and raw statistical moments. The two former indicators suggested a general scaling behavior of the data, which through the moments' analysis was found to be of multiscaling type. Random cascade processes are frequently used to model multiscaling processes, and we fitted the "universal multifractal'' (UM) model of Schertzer and Lovejoy [1987] to our data. The UM model closely reproduced the empirical K(q) functions, and simulated fields reproduced key features in the observed ones. The results indicate that multiscaling random cascade modeling is useful for statistically describing flow processes and solute transport under field conditions. (Less)
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author
; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
multiscaling, solute transport, dye infiltration, cascade
in
Water Resources Research
volume
38
issue
11
publisher
American Geophysical Union (AGU)
external identifiers
  • wos:000180527800045
  • scopus:0036879794
ISSN
0043-1397
DOI
10.1029/2001WR000880
language
English
LU publication?
yes
id
8606b1b5-4a69-4ce1-ab77-9e0105951d2e (old id 318348)
date added to LUP
2016-04-01 15:37:53
date last changed
2022-08-22 07:22:01
@article{8606b1b5-4a69-4ce1-ab77-9e0105951d2e,
  abstract     = {{[1] We aimed at investigating whether the spatial variability of infiltration in field soils, as visualized through dye infiltration experiments, is characterized by a multiscaling behavior. Digitized high-resolution dye images from three sites in an experimental catchment in Tunisia were analyzed using three indicators of scaling: empirical probability distribution functions, power spectra, and raw statistical moments. The two former indicators suggested a general scaling behavior of the data, which through the moments' analysis was found to be of multiscaling type. Random cascade processes are frequently used to model multiscaling processes, and we fitted the "universal multifractal'' (UM) model of Schertzer and Lovejoy [1987] to our data. The UM model closely reproduced the empirical K(q) functions, and simulated fields reproduced key features in the observed ones. The results indicate that multiscaling random cascade modeling is useful for statistically describing flow processes and solute transport under field conditions.}},
  author       = {{Olsson, J and Persson, Magnus and Albergel, J and Berndtsson, Ronny and Zante, P and Öhrström, Pernilla and Nasri, S}},
  issn         = {{0043-1397}},
  keywords     = {{multiscaling; solute transport; dye infiltration; cascade}},
  language     = {{eng}},
  number       = {{11}},
  publisher    = {{American Geophysical Union (AGU)}},
  series       = {{Water Resources Research}},
  title        = {{Multiscaling analysis and random cascade modeling of dye infiltration}},
  url          = {{http://dx.doi.org/10.1029/2001WR000880}},
  doi          = {{10.1029/2001WR000880}},
  volume       = {{38}},
  year         = {{2002}},
}