Influence of Skewed Anisotropy upon Exit Gradients

The generalization of DARCY’s law in 2.diemnsions has led to equations which describe permeability of the soil as a symmetric tensor of second rank (1, 2). In seepage problems it is common to define the GLOBAL coordinate axis to coincide with the principal directions of the permeability tensor, ther...

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Main Author: Faridoun A.M. Allawi
Format: Article
Language:English
Published: Unviversity of Technology- Iraq 2012-06-01
Series:Engineering and Technology Journal
Subjects:
Online Access:https://etj.uotechnology.edu.iq/article_57236_95eec49de89bded537af867b6653730a.pdf
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author Faridoun A.M. Allawi
author_facet Faridoun A.M. Allawi
author_sort Faridoun A.M. Allawi
collection DOAJ
description The generalization of DARCY’s law in 2.diemnsions has led to equations which describe permeability of the soil as a symmetric tensor of second rank (1, 2). In seepage problems it is common to define the GLOBAL coordinate axis to coincide with the principal directions of the permeability tensor, therefore, the cross product (off – diagonal) components (Kxy , Kyx) of the permeability tensor will be zero. It is therefore the purpose of this research to show the influence of the off- diagonal terms of the permeability tensor on the determined exit gradients behind a vertical sheet pile embedded in an anisotropic homogenous soil of finite depth. Also of interest is the derivation of an equation for the determination of exit gradients obtained from coordinate transformations of composite function.
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spelling doaj.art-3d9103dab2004ae385f96a1b95c90d7d2024-02-04T17:39:26ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582012-06-0130111960197010.30684/etj.30.11.1057236Influence of Skewed Anisotropy upon Exit GradientsFaridoun A.M. AllawiThe generalization of DARCY’s law in 2.diemnsions has led to equations which describe permeability of the soil as a symmetric tensor of second rank (1, 2). In seepage problems it is common to define the GLOBAL coordinate axis to coincide with the principal directions of the permeability tensor, therefore, the cross product (off – diagonal) components (Kxy , Kyx) of the permeability tensor will be zero. It is therefore the purpose of this research to show the influence of the off- diagonal terms of the permeability tensor on the determined exit gradients behind a vertical sheet pile embedded in an anisotropic homogenous soil of finite depth. Also of interest is the derivation of an equation for the determination of exit gradients obtained from coordinate transformations of composite function.https://etj.uotechnology.edu.iq/article_57236_95eec49de89bded537af867b6653730a.pdfseepageanisotropysheet pileexit gradients
spellingShingle Faridoun A.M. Allawi
Influence of Skewed Anisotropy upon Exit Gradients
Engineering and Technology Journal
seepage
anisotropy
sheet pile
exit gradients
title Influence of Skewed Anisotropy upon Exit Gradients
title_full Influence of Skewed Anisotropy upon Exit Gradients
title_fullStr Influence of Skewed Anisotropy upon Exit Gradients
title_full_unstemmed Influence of Skewed Anisotropy upon Exit Gradients
title_short Influence of Skewed Anisotropy upon Exit Gradients
title_sort influence of skewed anisotropy upon exit gradients
topic seepage
anisotropy
sheet pile
exit gradients
url https://etj.uotechnology.edu.iq/article_57236_95eec49de89bded537af867b6653730a.pdf
work_keys_str_mv AT faridounamallawi influenceofskewedanisotropyuponexitgradients