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A univariate versus a multivariate parameter distribution in a stochastic‐conceptual analysis of unsaturated flow

Year:

1982

Source of publication :

Water Resources ResearchAuthors :

Russo, David

;

.

Volume :

18

Co-Authors:

Russo, D.

Bresler, E.

Bresler, E.

Facilitators :

From page:

483

To page:

488

(

Total pages:

6

)

Abstract:

Solutions of stochastic‐conceptual flow problems obtained by utilizing a single stochastic parameter, the scaling factor α, are compared with solutions obtained by using multivariate parameter distribution. Two cases of one‐dimensional vertical flow are analyzed: (1) piston flow of solute under steady uniform surface water recharge and (2) transient water flow when uniform recharge rate is applied on the surface. Under steady vertical infiltration, expressing the variabilty of the hydraulic conductivity function K(θ) by the single stochastic‐variate α gives essentially the same results as the case when the variability in K(θ) is expressed by three stochastic variates. The agreement between the simulated average solute concentration profiles obtained by the two methods is improved as the recharge rate increases and a larger portion of the field is under ponding conditions. Similar results are found for the simulated potential runoff. For the case of the transient flow of water the variability in K(θ), as well as the variability in the soil water retentivity function h(θ), is expressed by a scaling factor α obtained from hydraulic conductivity data. Using α as the only stochastic variate resulted in mean water content (θ) profiles which are in a relatively good agreement with the mean θ profiles obtained when expressing the variability of K(θ) and h(θ) by five stochastic variates. The agreement between the distributions of the θ profiles obtained by the two methods, is rather poor. This agreement, as well as the agreement between the distributions of the depth of the wetting fronts, calculated by the two methods, are only slightly improved by using α as water content dependent stochastic variate. The results suggest that the scaling factor α, as a single stochastic variate, can be successfully used for stochastic analysis of water and solute flows under steady and transient infiltration conditions. Copyright 1982 by the American Geophysical Union.

Note:

Related Files :

Flow of water

Stochastic analysis

WATER RESOURCES - Research

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More details

DOI :

10.1029/WR018i003p00483

Article number:

Affiliations:

Database:

Scopus

Publication Type:

article

;

.

Language:

English

Editors' remarks:

ID:

29015

Last updated date:

02/03/2022 17:27

Creation date:

17/04/2018 00:43

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Scientific Publication

A univariate versus a multivariate parameter distribution in a stochastic‐conceptual analysis of unsaturated flow

18

Russo, D.

Bresler, E.

Bresler, E.

A univariate versus a multivariate parameter distribution in a stochastic‐conceptual analysis of unsaturated flow

Solutions of stochastic‐conceptual flow problems obtained by utilizing a single stochastic parameter, the scaling factor α, are compared with solutions obtained by using multivariate parameter distribution. Two cases of one‐dimensional vertical flow are analyzed: (1) piston flow of solute under steady uniform surface water recharge and (2) transient water flow when uniform recharge rate is applied on the surface. Under steady vertical infiltration, expressing the variabilty of the hydraulic conductivity function K(θ) by the single stochastic‐variate α gives essentially the same results as the case when the variability in K(θ) is expressed by three stochastic variates. The agreement between the simulated average solute concentration profiles obtained by the two methods is improved as the recharge rate increases and a larger portion of the field is under ponding conditions. Similar results are found for the simulated potential runoff. For the case of the transient flow of water the variability in K(θ), as well as the variability in the soil water retentivity function h(θ), is expressed by a scaling factor α obtained from hydraulic conductivity data. Using α as the only stochastic variate resulted in mean water content (θ) profiles which are in a relatively good agreement with the mean θ profiles obtained when expressing the variability of K(θ) and h(θ) by five stochastic variates. The agreement between the distributions of the θ profiles obtained by the two methods, is rather poor. This agreement, as well as the agreement between the distributions of the depth of the wetting fronts, calculated by the two methods, are only slightly improved by using α as water content dependent stochastic variate. The results suggest that the scaling factor α, as a single stochastic variate, can be successfully used for stochastic analysis of water and solute flows under steady and transient infiltration conditions. Copyright 1982 by the American Geophysical Union.

Scientific Publication

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