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Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

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Tests for the assumption of a layered dis.tri.bution and the source<br />

In addition there are certain constraints with regard to modu.lus,<br />

phase and frequency dependence of the transfer functions. (cf. Sec.<br />

2.6).<br />

The compatability of MTS and GDS vertical sounding results can be<br />

tested by the requirement that<br />

asreadily seen form the second field equation rotE = -imp H .<br />

-n o -n<br />

If the wave-number structure of the source field is not lcnown, a<br />

-<br />

Horizontal Gradient GDS can be formed: Observing that<br />

-<br />

the differentation of E = Cn impo H with respect to y and of<br />

nx nY<br />

= -iou C H wi.th respect to x yields<br />

.Env o n nx<br />

Since the electric surface field may be distorted by lateral non-<br />

uniformi-ties even when their scale length and dep-th is smal.1 in<br />

comparison -to the depth of. penetration, -the E-field observa.tj.oi~s<br />

may be replaced by observing the tangen-tj.al- magnetic field also<br />

at some dep-th d below -the surface, i.e. by conducting a 'vertical -<br />

-----<br />

Gradient GIIS. No knowledge of the wave-number st~uc-ture of the<br />

source field w i l l be required, but"the resi;tivity po between the<br />

' surface and the subsurface points of observations will be reqci-red.<br />

Assume that the lateral gradients of IJnz are small in comparison<br />

to the vertical gradients of H and H in v5.e~ of the condi.tion<br />

n x nY<br />

I -.<br />

I ~ c [

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