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Analysis and modeling of solute transport dynamics by breakdown coefficients and random cascades

Olsson, Jonas; Persson, Magnus LU and Jinno, Kenji (2007) In Water Resources Research 43(3).
Abstract
The small-scale variability and scaling properties of solute transport dynamics were investigated by laboratory experiments. Dye-stained water was applied at a constant flux in a Plexiglas Hele-Shaw cell filled with soil material, and the transport process was registered by digital photographs of the cell front, producing a very high resolution in both time (minutes) and space (millimeters). The experiments comprised different cell materials (uniform and natural sand) and different water fluxes. Scaling properties of vertically integrated dye mass distributions were analyzed and modeled using so-called breakdown coefficients (BDCs), which represent the multiplicative weights in a microcanonical random cascade process. The pdfs of BDCs... (More)
The small-scale variability and scaling properties of solute transport dynamics were investigated by laboratory experiments. Dye-stained water was applied at a constant flux in a Plexiglas Hele-Shaw cell filled with soil material, and the transport process was registered by digital photographs of the cell front, producing a very high resolution in both time (minutes) and space (millimeters). The experiments comprised different cell materials (uniform and natural sand) and different water fluxes. Scaling properties of vertically integrated dye mass distributions were analyzed and modeled using so-called breakdown coefficients (BDCs), which represent the multiplicative weights in a microcanonical random cascade process. The pdfs of BDCs varied with scale, indicating self-affine scaling, and were accurately approximated by beta distributions with a scaling parameter. Two versions of BDC-based random cascade models were used to simulate mass distributions at different time steps. The results support the applicability of random cascade models to subsurface transport processes. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
random, cascade, dynamics, solute, transport, model
in
Water Resources Research
volume
43
issue
3
publisher
American Geophysical Union
external identifiers
  • wos:000245027600001
  • scopus:34247615979
ISSN
0043-1397
DOI
10.1029/2005WR004631
language
English
LU publication?
yes
id
8c717442-30aa-4cd1-b280-88d475518e1a (old id 670908)
date added to LUP
2007-12-14 14:19:12
date last changed
2017-01-01 07:04:49
@article{8c717442-30aa-4cd1-b280-88d475518e1a,
  abstract     = {The small-scale variability and scaling properties of solute transport dynamics were investigated by laboratory experiments. Dye-stained water was applied at a constant flux in a Plexiglas Hele-Shaw cell filled with soil material, and the transport process was registered by digital photographs of the cell front, producing a very high resolution in both time (minutes) and space (millimeters). The experiments comprised different cell materials (uniform and natural sand) and different water fluxes. Scaling properties of vertically integrated dye mass distributions were analyzed and modeled using so-called breakdown coefficients (BDCs), which represent the multiplicative weights in a microcanonical random cascade process. The pdfs of BDCs varied with scale, indicating self-affine scaling, and were accurately approximated by beta distributions with a scaling parameter. Two versions of BDC-based random cascade models were used to simulate mass distributions at different time steps. The results support the applicability of random cascade models to subsurface transport processes.},
  author       = {Olsson, Jonas and Persson, Magnus and Jinno, Kenji},
  issn         = {0043-1397},
  keyword      = {random,cascade,dynamics,solute,transport,model},
  language     = {eng},
  number       = {3},
  publisher    = {American Geophysical Union},
  series       = {Water Resources Research},
  title        = {Analysis and modeling of solute transport dynamics by breakdown coefficients and random cascades},
  url          = {http://dx.doi.org/10.1029/2005WR004631},
  volume       = {43},
  year         = {2007},
}