Local Anisotropy

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In general, the hydraulic conductivity, K, can be different in different directions (e.g., horizontal and vertical direction). This phenomenon is called Anisotropy and is described by the Anisotropy Tensor. The Anisotropy Tensor in two-dimensional problems has dimensions of 2*2, and in three-dimensional problems 3*3.


Since the hydraulic anisotropy tensor, KA, is assumed to be symmetric, it is possible to define at any point in the flow domain a local coordinate system for which the tensor KA is diagonal (i.e., having zeros everywhere except on the diagonal). The diagonal entries K1A and K2A of KA are referred to as the principal components of KA.


The local principal directions may be oriented differently from element to element. For this purpose, the local coordinate axes are subjected to a rotation such that they coincide with the principal directions of the tensor KA. The principal components K1A and K2A, together with the angle ω between the principal direction of K1A and the x-axis of the global coordinate system, are specified for each element.


Anisotropy Angle

Angle w between the principal direction of K1A and the x-axis of the global coordinate system

First Component

The first principal component, K1A , of the dimensionless conductivity tensor KA

Second Component

The second principal component, K2A , of the dimensionless conductivity tensor KA

Index of Anisotropy

Index representing the anisotropy tensor in three-dimensional applications


The following commands are available in the Domain Properties part of the Edit Menu to define spatial distribution of Local Anisotropy:

       Angle

       First Component

       Second Component

       Index

       Table of Anisotropy Tensors



See also the "How to Edit Domain Properties" topic.