By Prabhakar S. Naidu and M.P. Mathew (Eds.)

Whilst a few necessary details is hidden at the back of a mass of undesirable info we regularly hotel to info processing utilized in its extensive experience or particularly to sign processing whilst the worthy details is a waveform. In geophysical surveys, specifically in aeromagnetic and gravity surveys, from the measured box it's always tough to assert a lot approximately anybody particular aim until it really is on the subject of the outside and good remoted from the remainder.

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37) into Eq. 38b) where m~, my, mz refer to the horizontal and vertical dipole moments, respectively. The magnetic field is measured along a given direction, for example, along the earth's magnetic field. For this we compute the gradient of ~p in the direction of the earth's magnetic field. Let a, /3, and y be direction cosines of the earth's magnetic field in the free space. The gradient operator in the direction of the field is given by 0 0 0) Potential Field Signals and Models 38 In the frequency domain the gradient operator is equivalent to multiplication with a factor, (jau + j / 3 v - 7s).

This method was first used by Ford [10] to compute the filter coefficients whose frequency response is unity over a polygon in the frequency plane and zero outside the polygon. 26b) where the contour integral is taken along perimeter c of the cross-section ~2. and ds stands for infinitesimal element on the perimeter. ,M. -- "4. i I II _ + hi> ~ oo "--. " ,,,,. ,--. I o" ~-- ~ 0 o . 3. Dyke To illustrate an application of Eq. 4). There are four sides. From Eq. 30) Since ZA -- ZB = 0 and also ZD - Zc = 0, the contributions from side AB and DC are zero.

Large s the Fourier transform of the total after ignoring the angular variation by FT(u, v) => s exp(--SZo)exp(--j(uxo + vyo)) dxo dyo dzo, s -+ oo but for gravity, the large frequency behaviour is given by Fz(u, v) ==~e x p ( - s z 0 ) e x p ( - j ( u x o 4- vyo)) dxo dyo dzo, s -+ oc Further, we note that FT(U,V) ~ 0, (u,v) ~ 0 but F~(0,0) ~ proportional to the total mass. This, in fact, is the basic difference between the gravity and magnetic field arising out of their fundamental difference in the monopole and bipole structures of the source.