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פותח על ידי קלירמאש פתרונות בע"מ -
A note on the orientation of the macrodispersion tensor in partially saturated heterogeneous porous formations
Year:
1998
Source of publication :
Advances in Water Resources
Authors :
לאופר, אשר
;
.
רוסו, דוד
;
.
Volume :
21
Co-Authors:
Russo, D., Department of Soil Physics, Institute of Soils and Water, Volcani Center, Bet Dagan 50250, Israel
Hadad, A., Department of Soil Physics, Institute of Soils and Water, Volcani Center, Bet Dagan 50250, Israel
Laufer, A., Department of Soil Physics, Institute of Soils and Water, Volcani Center, Bet Dagan 50250, Israel
Facilitators :
From page:
63
To page:
70
(
Total pages:
8
)
Abstract:
The general situation in which the mean gradient vector, J, is not necessarily aligned in a direction perpendicular to the bedding of a partially saturated heterogeneous formation, is considered. Previous results of first-order analyses, based on a stochastic continuum presentation of unsaturated flow and a general Lagrangian description of the transport15 and standard tensor transformation relationships, were used to evaluate the orientation of the principal axes of the asymptotic macrodispersion tensor as a function of the inclination of J, and to assess its impact on solute spreading in partially saturated heterogeneous formations of three-dimensional anisotropic structure. The main results obtained in this study suggest that under unsaturated flow, for given statistics of the formation properties and given mean water saturation, and when the inclination of J is relatively small, coarse-textured soil material with negligibly small capillary forces may compensate for the enhanced lateral displacement (in the same direction as that of J relative to the longitudinal axis of the formation heterogeneity) and the enhanced lateral spreading of the solute plume due to increasing anisotropy (smaller e = Iyv/Iyh where Iyv and Iyh are the correlation length scales of log-unsaturated conductivity in the vertical (longitudinal) and horizontal directions, respectively). On the other hand, when the inclination of J is relatively large, such soil material may enhance lateral displacement of the solute plume in a direction opposite to that of J relative to the longitudinal axis of the formation heterogeneity. © 1997 Elsevier Science Ltd. All rights reserved.
Note:
Related Files :
Anisotropy
porous media
Soils
Solute transport
Three dimensional
Vectors
עוד תגיות
תוכן קשור
More details
DOI :
Article number:
Affiliations:
Database:
סקופוס
Publication Type:
מאמר
;
.
Language:
אנגלית
Editors' remarks:
ID:
32387
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 01:09
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Scientific Publication
A note on the orientation of the macrodispersion tensor in partially saturated heterogeneous porous formations
21
Russo, D., Department of Soil Physics, Institute of Soils and Water, Volcani Center, Bet Dagan 50250, Israel
Hadad, A., Department of Soil Physics, Institute of Soils and Water, Volcani Center, Bet Dagan 50250, Israel
Laufer, A., Department of Soil Physics, Institute of Soils and Water, Volcani Center, Bet Dagan 50250, Israel
A note on the orientation of the macrodispersion tensor in partially saturated heterogeneous porous formations
The general situation in which the mean gradient vector, J, is not necessarily aligned in a direction perpendicular to the bedding of a partially saturated heterogeneous formation, is considered. Previous results of first-order analyses, based on a stochastic continuum presentation of unsaturated flow and a general Lagrangian description of the transport15 and standard tensor transformation relationships, were used to evaluate the orientation of the principal axes of the asymptotic macrodispersion tensor as a function of the inclination of J, and to assess its impact on solute spreading in partially saturated heterogeneous formations of three-dimensional anisotropic structure. The main results obtained in this study suggest that under unsaturated flow, for given statistics of the formation properties and given mean water saturation, and when the inclination of J is relatively small, coarse-textured soil material with negligibly small capillary forces may compensate for the enhanced lateral displacement (in the same direction as that of J relative to the longitudinal axis of the formation heterogeneity) and the enhanced lateral spreading of the solute plume due to increasing anisotropy (smaller e = Iyv/Iyh where Iyv and Iyh are the correlation length scales of log-unsaturated conductivity in the vertical (longitudinal) and horizontal directions, respectively). On the other hand, when the inclination of J is relatively large, such soil material may enhance lateral displacement of the solute plume in a direction opposite to that of J relative to the longitudinal axis of the formation heterogeneity. © 1997 Elsevier Science Ltd. All rights reserved.
Scientific Publication
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