Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

(2.82a1b) simply results when (2.80) is split into real and. imagL- ,
nary; it has already been given above (Eq. (2.61 a,b) ) . (2.83) is
proved as follows
The other constraints are proved in a similar way. There are other
constraints involving second and higher derivatives. In terms of
apparent resistivity and phase $ Rqs. (2,83b1a) read:
The slope of a double-logarithmically plotted sounding curve is
- Dpa/pa. As a consequence of (2.85a,b) we have alvrays
The monotone decrease of the real part of C with frequency is a
consequence of
The following figure shows data (full lines) which are inconsistent
a
on the basis of one-dimensional model., since the constraints (2.83a, b) :
are partly-violated. Then the least corrections to the data are
determined that the inequal-ities are satisfied. Since this is only
a necessa-ry coridition, interpretability is not yet granted.