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.

'periments are done with profiles or arrays, the data y = y(R,t)<br />

permit a structural sounding of the property m = F(z) + Am(r)<br />

with particular emphasis on lateral variations Am(2).<br />

- .<br />

Here m(z) represents either a global or regional mean distribution.<br />

It may also be the result of vertical soundings at "normal sLtesn<br />

wheqzthe surface data show no indications for lateral variations<br />

of m. Since the dependence of y(R,t) - on m(r) - will be non-linear,<br />

anomalies Ay(R,t)<br />

and<br />

-<br />

-. = y(R,t) - yn(t) will be dependent on Am -<br />

m(z) , i.e. the inierpretation of. second-type -data must proceed on<br />

the basis of a known mean or nornlal distribution F(z) consistent<br />

with data yn("c at a normal site. It should be noted that in the<br />

case of static data of the first type usually no ii~terdependence<br />

between Ay and will exist, i.e, the interpretation of their<br />

anomalies is gependent of global or regional mean distributions<br />

of the relevant property n.<br />

Suppose that for data of the second type the lateral variations<br />

bm(r) - are small in relation to G(z). Then the results of vertical<br />

soundings at many different single sites may be combined to -<br />

approximate a structural distribution m = m + Am. For geomagnetic<br />

induction data the relevant property, namely the electrical. re-<br />

sistivity has usually substantial lateral variations and a one-<br />

dimensional intezpretation as in the case of vertical soundings<br />

will not be adequate. Instead a truly multi-dimensional inter-<br />

pretation of the data is required which is to be based on "normal<br />

data" at selected sites (cf. 8.2). Such normal sites are her@ rather<br />

the exception than the rule.<br />

7.2 The data and physicai properties of internal matter which<br />

are involved<br />

The Earth's magnetic field is subject to small fluctuations g(rtt).<br />

.<br />

They arise from primary sources in the high atmosphere and from<br />

seconda-y sources within the Earth. At the Earth's surface their '<br />

r. amplitude is<br />

-

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

Saved successfully!

Ooh no, something went wrong!