Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow
(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
- Saito, M. ; Nishimura, Y. ; Hoshino, D. and Nakagawa, K. LU
- publishing date
- 2012-12-01
- 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}}, }