Local attenuation of the relative K-value change

Local attenuation of the relative K-value change

When the relative K value in an element changes, local attenuation is automatically applied by taking into account the K values of the neighbouring elements.

This damping reduces the strong fluctuations in the K values of neighbouring elements caused by the iteration.

For each element, the calculated relative change (in %) of the K value is smoothed once again in relation to the relative changes of the K values in the neighbouring elements.

The easiest way to explain the procedure is to use an example (2D):

 

Element

K-value of the last iteration step

Recalculated K-value

% change

1

0,40

0,01

2,5 %

2

0,30

0,45

150 %

3

0,35

0,70

200 %

4

0,30

0,15

50 %

 

 

 

The change in the K value in element 1 is now calculated as the mean value:

  • calculated % change in element 1 and

  • mean % change in the neighbouring elements

 

As follows:

 

The K value in element 1 is set to 67.92 % of 0.40 = 0.271.

 

For 3D models, the vertically adjacent elements are also included in the calculation in addition to the horizontally adjacent neighbouring elements. Consideration of "layering", i.e. areas with K values of different orders of magnitude (aquifers/aquitards) are also detected automatically and taken into consideration: Neighbouring elements with K values of other orders of magnitude are included in the weighting with smaller weighting factors.

 

Input parameters