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Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation
Year:
1993
Source of publication :
Water Resources Research
Authors :
Russo, David
;
.
Volume :
29
Co-Authors:
Russo, D.
Facilitators :
From page:
383
To page:
397
(
Total pages:
15
)
Abstract:
A framework for the prediction of solute spread in partially saturated heterogeneous porous formation is presented by combining a general Lagrangian formulation, relating the spatial moments of the solute body to the velocity field, with the stochastic theory of Yeh et al. (1985a, b) for steady unsaturated flow, relating the statistical moments of the velocity field to properties of the heterogenous formation. The relevant formation properties are log saturated conductivity, log Ks, and the pore size distribution parameter, α, which, in turn, are viewed as independent, random spatial functions. First‐order approximations of the longitudinal and transverse components of the velocity covariance function are derived for unidirectional, vertical mean flow in partially saturated, heterogeneous porous formations of three‐dimensional structure. Neglecting pore scale dispersion, and by using basic, kinematical relationships to relate the displacement to the velocity field, the effect of mean water saturation, and of statistical parameters of porous formation properties on longitudingal and transverse components of the time‐dependent displacement covariance tensor X, is evaluated. Results of the analyses show that solute spread increases as water saturation decreases. In the case where the correlation scale of α was small, as compared with that of log Ks, however, the longitudinal component of X is essentially robust to water saturation, suggesting that in this case, vadose zone transport might be amenable to an analysis similar to that for saturated groundwater transport. Copyright 1993 by the American Geophysical Union.
Note:
Related Files :
dispersion
Macrodispersion
Solute transport
stochastic modelling
Unsaturated flow
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More details
DOI :
10.1029/92WR01957
Article number:
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
21169
Last updated date:
02/03/2022 17:27
Creation date:
16/04/2018 23:42
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Scientific Publication
Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation
29
Russo, D.
Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation
A framework for the prediction of solute spread in partially saturated heterogeneous porous formation is presented by combining a general Lagrangian formulation, relating the spatial moments of the solute body to the velocity field, with the stochastic theory of Yeh et al. (1985a, b) for steady unsaturated flow, relating the statistical moments of the velocity field to properties of the heterogenous formation. The relevant formation properties are log saturated conductivity, log Ks, and the pore size distribution parameter, α, which, in turn, are viewed as independent, random spatial functions. First‐order approximations of the longitudinal and transverse components of the velocity covariance function are derived for unidirectional, vertical mean flow in partially saturated, heterogeneous porous formations of three‐dimensional structure. Neglecting pore scale dispersion, and by using basic, kinematical relationships to relate the displacement to the velocity field, the effect of mean water saturation, and of statistical parameters of porous formation properties on longitudingal and transverse components of the time‐dependent displacement covariance tensor X, is evaluated. Results of the analyses show that solute spread increases as water saturation decreases. In the case where the correlation scale of α was small, as compared with that of log Ks, however, the longitudinal component of X is essentially robust to water saturation, suggesting that in this case, vadose zone transport might be amenable to an analysis similar to that for saturated groundwater transport. Copyright 1993 by the American Geophysical Union.
Scientific Publication
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