In matrix form, it may be written as,
|
(6.7) |
And in vector form, we can write as
|
(6.8) |
Where T is the transmissivity of the aquifer which represents the discharge through the entire thickness of the aquifer under unit hydraulic gradient.
In case of homogeneous isotropic porous medium, the discharge per unit width of the aquifer may be written as,
|
|
When principal directions are used as the coordinate system, the equation (6.7) can be written as,
|
|
Or
|
|
Where 
is the principal coordinate.
The transformation from any arbitrary xy coordinate system to the principal coordinate system can be obtained using the following relationship
|
(6.13)
(6.14) |
