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Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow

Saito, M. ; Nishimura, Y. ; Hoshino, D. and Nakagawa, K. LU orcid (2012) 8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011 355. p.48-53
Abstract

Macroscopic dispersivity is the most important factor for analysing the convection-dispersion equation (CDE) at the field scale, and it is well known that macroscopic dispersivities vary with the scale of observation. In this study, artificial heterogeneous hydraulic conductivity fields were generated with the stochastic fractal model (fς model). Macroscopic dispersivities were evaluated for two-dimensional stochastic isotropic and anisotropic fields by performing dimensionless CDE simulations. The results showed that macroscopic dispersivity depends on the length of the contaminant source and the travel distances, as well as on field characteristics such as variability of hydraulic conductivity for one-dimensional flow. We... (More)

Macroscopic dispersivity is the most important factor for analysing the convection-dispersion equation (CDE) at the field scale, and it is well known that macroscopic dispersivities vary with the scale of observation. In this study, artificial heterogeneous hydraulic conductivity fields were generated with the stochastic fractal model (fς model). Macroscopic dispersivities were evaluated for two-dimensional stochastic isotropic and anisotropic fields by performing dimensionless CDE simulations. The results showed that macroscopic dispersivity depends on the length of the contaminant source and the travel distances, as well as on field characteristics such as variability of hydraulic conductivity for one-dimensional flow. We proposed simple models for quantitatively evaluating the average values of macroscopic longitudinal dispersivity by performing two-dimensional numerical experiments. Further, we showed that macroscopic longitudinal dispersivities calculated by these models generally corresponded with that obtained from the field study.

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author
; ; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Groundwater, Macroscopic longitudinal dispersivity, Stochastic fractal model
host publication
Models - Repositories of Knowledge
editor
Oswald, Sascha E ; Kolditz, Olaf and Attinger, Sabine
volume
355
pages
6 pages
publisher
IAHS Press
conference name
8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011
conference location
Leipzig, Germany
conference dates
2011-09-18 - 2011-09-22
external identifiers
  • scopus:84877618182
ISBN
9781907161346
language
English
LU publication?
no
id
ae557313-db83-4b52-bfe0-80186540169f
date added to LUP
2019-01-02 01:31:38
date last changed
2022-01-31 08:10:44
@inproceedings{ae557313-db83-4b52-bfe0-80186540169f,
  abstract     = {{<p>Macroscopic dispersivity is the most important factor for analysing the convection-dispersion equation (CDE) at the field scale, and it is well known that macroscopic dispersivities vary with the scale of observation. In this study, artificial heterogeneous hydraulic conductivity fields were generated with the stochastic fractal model (f<sup>ς</sup> model). Macroscopic dispersivities were evaluated for two-dimensional stochastic isotropic and anisotropic fields by performing dimensionless CDE simulations. The results showed that macroscopic dispersivity depends on the length of the contaminant source and the travel distances, as well as on field characteristics such as variability of hydraulic conductivity for one-dimensional flow. We proposed simple models for quantitatively evaluating the average values of macroscopic longitudinal dispersivity by performing two-dimensional numerical experiments. Further, we showed that macroscopic longitudinal dispersivities calculated by these models generally corresponded with that obtained from the field study.</p>}},
  author       = {{Saito, M. and Nishimura, Y. and Hoshino, D. and Nakagawa, K.}},
  booktitle    = {{Models - Repositories of Knowledge}},
  editor       = {{Oswald, Sascha E and Kolditz, Olaf and Attinger, Sabine}},
  isbn         = {{9781907161346}},
  keywords     = {{Groundwater; Macroscopic longitudinal dispersivity; Stochastic fractal model}},
  language     = {{eng}},
  month        = {{12}},
  pages        = {{48--53}},
  publisher    = {{IAHS Press}},
  title        = {{Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow}},
  volume       = {{355}},
  year         = {{2012}},
}