Specifications

University of Pretoria etd – Combrinck, M (2006)

⎟

⎠

⎞

⎜

⎝

⎛

⋅∂

⎟

⎠

⎞

⎜

⎝

⎛

∂

⎟

⎠

⎞

⎜

⎝

⎛

∂

)(

6192.2/

factor

SCALED

So that,

factor

6192.2

⎟

⎠

⎞

⎜

⎝

⎛

There are of course an infinite number of correction factors that will satisfy this

requirement (Figure 4.16) and an urgent need arouse to explain the origin of this

discrepancy. Three possibilities are investigated based on comparison with synthetic data

from models which have all shown that depths are overestimated by the transform. Only

correction factors which will decrease calculated depths are therefore discussed (the red

line on Fig 4.16 indicates the possible depth correction factors ranging from almost zero to

one). The following possibilities for the observed error were considered.

• A possible error in equation 4.1.

• A possible error in equation 4.2.

• An error in the physical assumptions made during the S-layer transform.