Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow

M. Saito; Y. Nishimura; D. Hoshino; K. Nakagawa

Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow

M. Saito, Y. Nishimura, D. Hoshino, K. Nakagawa

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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 (f^ς 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.

Original language	English
Title of host publication	Models - Repositories of Knowledge
Editors	Sascha E Oswald, Olaf Kolditz, Sabine Attinger
Place of Publication	Wallingford
Publisher	IAHS Press
Pages	48-53
Number of pages	6
Volume	355
ISBN (Print)	9781907161346
Publication status	Published - 2012 Dec 1
Externally published	Yes
Event	8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011 - Leipzig, Germany Duration: 2011 Sept 18 → 2011 Sept 22

Conference

Conference	8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011
Country/Territory	Germany
City	Leipzig
Period	2011/09/18 → 2011/09/22

Subject classification (UKÄ)

Fluid Mechanics and Acoustics

Free keywords

Groundwater
Macroscopic longitudinal dispersivity
Stochastic fractal model

Cite this

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title = "Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow",

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 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.",

keywords = "Groundwater, Macroscopic longitudinal dispersivity, Stochastic fractal model",

author = "M. Saito and Y. Nishimura and D. Hoshino and K. Nakagawa",

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publisher = "IAHS Press",

note = "8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011 ; Conference date: 18-09-2011 Through 22-09-2011",

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Saito, M, Nishimura, Y, Hoshino, D & Nakagawa, K 2012, Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow. in SE Oswald, O Kolditz & S Attinger (eds), Models - Repositories of Knowledge. vol. 355, IAHS Press, Wallingford, pp. 48-53, 8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011, Leipzig, Germany, 2011/09/18.

Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow. / Saito, M.; Nishimura, Y.; Hoshino, D. et al.
Models - Repositories of Knowledge. ed. / Sascha E Oswald; Olaf Kolditz; Sabine Attinger. Vol. 355 Wallingford: IAHS Press, 2012. p. 48-53.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow

AU - Saito, M.

AU - Nishimura, Y.

AU - Hoshino, D.

AU - Nakagawa, K.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - 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.

AB - 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.

KW - Groundwater

KW - Macroscopic longitudinal dispersivity

KW - Stochastic fractal model

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SN - 9781907161346

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SP - 48

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BT - Models - Repositories of Knowledge

A2 - Oswald, Sascha E

A2 - Kolditz, Olaf

A2 - Attinger, Sabine

PB - IAHS Press

CY - Wallingford

T2 - 8th International Conference on Calibration and Reliability in Groundwater Modeling - Repositories of Knowledge, ModelCARE 2011

Y2 - 18 September 2011 through 22 September 2011

ER -

Quantitative evaluation of macroscopic longitudinal dispersivity for one-dimensional flow

Abstract

Conference

Subject classification (UKÄ)

Free keywords

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