Science General

Analysis of Geophysical Potential Fields by Prabhakar S. Naidu and M.P. Mathew (Eds.)

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

While a few necessary details is hidden in the back of a mass of undesirable details we frequently hotel to details processing utilized in its extensive feel or in particular to sign processing while the priceless details is a waveform. In geophysical surveys, specifically in aeromagnetic and gravity surveys, from the measured box it is usually tricky to claim a lot approximately anyone particular goal except it really is with regards to the outside and good remoted from the remainder.

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9. The Fourier transform of the total magnetic field due to a uniformly magnetized prism in low latitudes vanishes along the radial lines. Here 6 stands for declination of the earth's magnetic field and 60 is declination of the inducing magnetic vector. Potential Field Signals and Models 44 whose slope is equal to the negative of angle of declination of the inducing magnetic vector. Further, Fs(u,v) --+ 0 as (u,v) ~ O. 4. Singularities In order to show the location of singularities, we rewrite Eq.

16, p. 49) s This expression is derived in Ref. [ 17] and also by Bhattacharya [ 18] who used an approach of direct Fourier transformation of the spatial signal. Note that Fz(u,v,h) ~ 27rGoo2a2b2c as (u,v) --~ O. The corresponding expression for the magnetic signal (using the conversion filter (Eq. 9). 9. The Fourier transform of the total magnetic field due to a uniformly magnetized prism in low latitudes vanishes along the radial lines. Here 6 stands for declination of the earth's magnetic field and 60 is declination of the inducing magnetic vector.

11) in Eq. 38a) Next, substituting for Fz(u,v) from Eq. 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).

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