Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

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. 7. Basic concepts of geomagnetic and magnetotelluric depth sounding . . 7.1. . General characteristics of the method Two types of geophysical surface data can be distinguished to in- vestigate the distribution of some physical property m(g) of matter beneath the Earth's surface. The first type is connected with static or quasi-static phenomena (gravity and magnetic fields), the second type with time-dependent phenomena (seismic wave propagation) or with controlled experiments under vartable experimental con- ditions (DC-geoelectric soundings). Geomagnetic and magnetotellur7ic soundings utilize the skin-effect of transient electromagnetic fields. Their penetration into the Earth represents a time-depen- dent diffusion process, thus the observation of these fields at the surface produces data of the second type. The interpretation of static data y = y(R) ...- is non-unique alld an arbitrary choice can be made among an unlimited number of possible distributions m(r), - explaining y(R) - equally well. The interpretation of transient data is with certain constraints unique in the sense that oniy - one distribution m(r) - can explain the surface data y = y(R,t), basically because opeadditional variable t (time, variable parameter of controlled experiment) is involve?, If the observation of the transient process or the perforrfiance of the experiment is made at .a single site, the data y '= .~(t) permit a vertical sounding of the property m = 'm(z), assumed to be a sole function of depth z beneath that site, If the observations or ex-

'periments are done with profiles or arrays, the data y = y(R,t) permit a structural sounding of the property m = F(z) + Am(r) with particular emphasis on lateral variations Am(2). - . Here m(z) represents either a global or regional mean distribution. It may also be the result of vertical soundings at "normal sLtesn wheqzthe surface data show no indications for lateral variations of m. Since the dependence of y(R,t) - on m(r) - will be non-linear, anomalies Ay(R,t) and - -. = y(R,t) - yn(t) will be dependent on Am - m(z) , i.e. the inierpretation of. second-type -data must proceed on the basis of a known mean or nornlal distribution F(z) consistent with data yn("c at a normal site. It should be noted that in the case of static data of the first type usually no ii~terdependence between Ay and will exist, i.e, the interpretation of their anomalies is gependent of global or regional mean distributions of the relevant property n. Suppose that for data of the second type the lateral variations bm(r) - are small in relation to G(z). Then the results of vertical soundings at many different single sites may be combined to - approximate a structural distribution m = m + Am. For geomagnetic induction data the relevant property, namely the electrical. re- sistivity has usually substantial lateral variations and a one- dimensional intezpretation as in the case of vertical soundings will not be adequate. Instead a truly multi-dimensional inter- pretation of the data is required which is to be based on "normal data" at selected sites (cf. 8.2). Such normal sites are her@ rather the exception than the rule. 7.2 The data and physicai properties of internal matter which are involved The Earth's magnetic field is subject to small fluctuations g(rtt). . They arise from primary sources in the high atmosphere and from seconda-y sources within the Earth. At the Earth's surface their ' r. amplitude is -

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7. Basic concepts of geomagnetic and magnetotelluric depth sounding<br />

.<br />

. 7.1. . General characteristics of the method<br />

Two types of geophysical surface data can be distinguished to in-<br />

vestigate the distribution of some physical property m(g) of matter<br />

beneath the Earth's surface. The first type is connected with<br />

static or quasi-static phenomena (gravity and magnetic fields), the<br />

second type with time-dependent phenomena (seismic wave propagation)<br />

or with controlled experiments under vartable experimental con-<br />

ditions (DC-geoelectric soundings). Geomagnetic and magnetotellur7ic<br />

soundings utilize the skin-effect of transient electromagnetic<br />

fields. Their penetration into the Earth represents a time-depen-<br />

dent diffusion process, thus the observation of these fields at<br />

the surface produces data of the second type.<br />

The interpretation of static data y = y(R) ...- is non-unique alld an<br />

arbitrary choice can be made among an unlimited number of possible<br />

distributions m(r), - explaining y(R) - equally well. The interpretation<br />

of transient data is with certain constraints unique in the<br />

sense that oniy - one distribution m(r) - can explain the surface data<br />

y = y(R,t), basically because opeadditional variable t (time,<br />

variable parameter of controlled experiment) is involve?,<br />

If the observation of the transient process or the perforrfiance of<br />

the experiment is made at .a single site, the data y '= .~(t) permit<br />

a vertical sounding of the property m = 'm(z), assumed to be a sole<br />

function of depth z beneath that site, If the observations or ex-

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