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Parameter estimation for fractional dispersion model for rivers

Deng, Zhiqiang ; Bengtsson, Lars LU and Singh, Vijay P. (2006) In Environmental Fluid Mechanics 6(5). p.451-475
Abstract
The fractional dispersion model for natural rivers, extended by including a first order reaction term, contains four parameters. In order to estimate these parameters a fractional Laplace transform-based method is developed in this paper. Based on 76 dye test data measured in natural streams, the new parameter estimation method shows that the fractional dispersion operator parameter F is the controlling parameter causing the non-Fickian dispersion and F does not take on an integer constant of 2 but instead varies in the range of 1.4-2.0. The adequacy of the fractional Laplace transform-based parameter estimation method is determined by computing dispersion characteristics of the extended fractional dispersion model and these... (More)
The fractional dispersion model for natural rivers, extended by including a first order reaction term, contains four parameters. In order to estimate these parameters a fractional Laplace transform-based method is developed in this paper. Based on 76 dye test data measured in natural streams, the new parameter estimation method shows that the fractional dispersion operator parameter F is the controlling parameter causing the non-Fickian dispersion and F does not take on an integer constant of 2 but instead varies in the range of 1.4-2.0. The adequacy of the fractional Laplace transform-based parameter estimation method is determined by computing dispersion characteristics of the extended fractional dispersion model and these characteristics are compared with those observed from 12 dye tests conducted on the US rivers, including Mississippi, Red, and Monocacy. The agreement between computed and observed dispersion characteristics is found to be good. When combined with the fractional Laplace transform-based parameter estimation method, the extended fractional dispersion model is capable of accurately simulating the non-Fickian dispersion process in natural streams. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
fractional dispersion model, natural rivers, parameter estimation
in
Environmental Fluid Mechanics
volume
6
issue
5
pages
451 - 475
publisher
Springer
external identifiers
  • wos:000240805900003
  • scopus:33749179709
ISSN
1573-1510
DOI
10.1007/s10652-006-9004-5
language
English
LU publication?
yes
id
4112c95a-68fd-4016-9410-ed85138227a1 (old id 392784)
date added to LUP
2016-04-01 12:12:21
date last changed
2020-12-29 02:01:10
@article{4112c95a-68fd-4016-9410-ed85138227a1,
  abstract     = {The fractional dispersion model for natural rivers, extended by including a first order reaction term, contains four parameters. In order to estimate these parameters a fractional Laplace transform-based method is developed in this paper. Based on 76 dye test data measured in natural streams, the new parameter estimation method shows that the fractional dispersion operator parameter F is the controlling parameter causing the non-Fickian dispersion and F does not take on an integer constant of 2 but instead varies in the range of 1.4-2.0. The adequacy of the fractional Laplace transform-based parameter estimation method is determined by computing dispersion characteristics of the extended fractional dispersion model and these characteristics are compared with those observed from 12 dye tests conducted on the US rivers, including Mississippi, Red, and Monocacy. The agreement between computed and observed dispersion characteristics is found to be good. When combined with the fractional Laplace transform-based parameter estimation method, the extended fractional dispersion model is capable of accurately simulating the non-Fickian dispersion process in natural streams.},
  author       = {Deng, Zhiqiang and Bengtsson, Lars and Singh, Vijay P.},
  issn         = {1573-1510},
  language     = {eng},
  number       = {5},
  pages        = {451--475},
  publisher    = {Springer},
  series       = {Environmental Fluid Mechanics},
  title        = {Parameter estimation for fractional dispersion model for rivers},
  url          = {http://dx.doi.org/10.1007/s10652-006-9004-5},
  doi          = {10.1007/s10652-006-9004-5},
  volume       = {6},
  year         = {2006},
}