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ניגודיות עדינהניגודיות גבוההמונוכרוםהדגשת קישוריםחסימת אנימציהפונט קריאסגוראיפוס הגדרות נגישותלהורדת מודול נגישות חינםניהול

קהילה:

אסיף מאגר המחקר החקלאי

Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation

Year:

1993

Source of publication :

Water Resources ResearchAuthors :

רוסו, דוד

;

.

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

עוד תגיות

תוכן קשור

More details

DOI :

10.1029/92WR01957

Article number:

Affiliations:

Database:

סקופוס

Publication Type:

מאמר

;

.

Language:

אנגלית

Editors' remarks:

ID:

21169

Last updated date:

02/03/2022 17:27

Creation date:

16/04/2018 23:42

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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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