04.08.2013 Views

Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Since<br />

it follows that<br />

- E 1 = - T E HI= T H -n . ' -a<br />

H ' = T<br />

H<br />

H<br />

n '<br />

E' = Z'HA = Z'TH = TZHn,<br />

- - - n<br />

Z = T-I Z' T.<br />

In a similar way it is readily vkrified that<br />

Hence,<br />

which implies thkt.<br />

W + W =\ih,, and 2. - z =.Z?-Z-~<br />

XX Y Y XY YX<br />

are invariant against rotations and that<br />

"Skew" parameters which characterise the deriation from true 2-<br />

dimensionality are the moduli of the expressions<br />

If a geomagnetic sounding at a single site has been performed near<br />

such a 2-dimensional structure, the relations which connect A and<br />

.B with WZx and W reduce to<br />

ZY<br />

If -the first relation is multi.plied by c and the second relation by<br />

s and then the sum of both is taken, it follows that<br />

This implies that the in-phase and out-of--phase induction a17ro:.?s<br />

will be everywhere perpendicular to the trend of the structure,<br />

which can thus been found.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!